j Caiiiornis
 
 I
 
 KEY 
 
 TO THE 
 
 Hebrew-Egyptian Mystery 
 
 IN 
 
 THE SOURCE OF MEASURES 
 
 ORIGINATING 
 
 THE BRITISH INCH AND THE ANCIENT CUBIT 
 
 BY WHICH WAS BUILT THE GREAT PYRAMID OF EGYPT AND THE 
 TEMPLE OF SOLOMON; AND THROUGrf THE POSSESSION AND 
 USE OF WHICH, MAN, ASSUMING TO REALIZE THE CRE- 
 ATIVE LAW OF THE DEITY, SET IT FORTH IN A MYS- 
 TERY, AMONG THE HEBREWS CALLED KABBALA 
 
 56 BY 
 
 j;' RALSTON SKINNER 
 
 PHILADELPHIA : 
 
 DAVID McKAY COMPAIW 
 
 WASHINGTON SQUARE
 
 6^
 
 " OPEN THOU MINE EYES, THAT I MAY BEHOLD WONDROUS THINGS 
 
 OUT OF THY LAW ! 
 
 "my son, if THINE HEART BE WISE, MY HEART SHALL REJOICE, 
 
 EVEN MINE : 
 
 " YEA, MY REINS SHALL REJOICE, WHEN THY LIPS SPEAK RIGHT 
 
 THINGS." 
 
 "behold! THE DAY OF THE LORD COMETH, AND IT SHALL COME 
 TO PASS IN THAT DAY, 
 
 " THAT THE LIGHT SHALL NOT BE CLEAR, NOR DARK, BUT IT 
 
 SHALL BE ONE DAY, 
 
 "and THE LORD SHALL BE KING OVER ALL THE EAJtTH : IN THAT 
 
 DAY THERE SHALL BE 
 
 ONE J E H O VA H , 
 
 AND HIS NAME SHALL BE 
 
 nS 
 
 N^D^
 
 TABLE OF CONTENTS. 
 
 Introduction. 
 
 Contents an essay or study rather than, strictly speaking, a work. The 
 whole a series of developments based upon the use of geometrical ele- 
 ments, giving expression in numerical values, founded on integral values 
 of the circle, rediscovered by the late John A. Parker, and by Peter Metius 
 in the i6th century. Brief statement of these developments ; the greatest 
 being that the system from whence their derivation was anciently consid- 
 ered to be one resting in nature, or God, as the bast's, or law, of the ex- 
 ertion, practically, of creative design : as such to be found as underlaying 
 the Biblical structure. This introduction contains the Hebrew alphabet, 
 with the values and powers of the letters, and some of their supposed 
 symbols, with some remarks on the hieroglyphic use of the letters. (The 
 proof of the uses of these values by the ancients is all that is claimed as 
 being of use connected with the quadrature idea, so that the usual ofFen- 
 siveness connected with any stated idea of quadrating the circle is not in- 
 volved.) 
 
 Quadrature of the Circle hy yohn A. Parker. 
 
 It would be amply sufficient for the purposes of this work to give the 
 numerical results (notating geometrical conditions) of Mr. Parker's quad- 
 rature; but it is thought that the uses shown to have been anciently made 
 will naturally lead to a desire to examine into the very means whereby 
 these numerical data are obtainable. To satisfy such a desire the leading 
 outlines of Mr. Parker's work on the quadrature, and of Yn^ problem of 
 three revolving bodies, with his uses of his results, are given, even pretty 
 fully, by permission. His extremely interesting work is to be had in the 
 city of New York, of John Wiley & Son. 
 
 \ I. Kabbala a species of symbolic writing. Relation of diameter to 
 
 circumference of a circle a supreme one as connected with the god-names 
 
 Elohiin and Jehovah. Two expressions of circumference to diameter, in 
 
 (iii)
 
 IV TABLE OF CONTENTS. 
 
 integrals, used in the Bible; that of Mr. Parker, the ferfect one, and 
 that of Peter Metius (i6th century), the imperfect one. One relation be- 
 tween the two expressions to be found in §82 (J).'). (§2. Notice oi the 
 quadrature by Peter Metius, about a. d. 15S5.) Outline of 12 propositions 
 from Mr. Parker's Quadrature, resulting in the key numbers, and values, 
 on which this entire work depends. (See Prop. XII, p. 20.) ^ 3. Quad- 
 rature by Peter Metius, with statement of curious relations between the 
 Parker and Metius forms. 
 
 Reflections on the Quadrature by Mr. Parker, 
 
 ? 4. ^uadratare by Mr. Parker of great value, but set forth not on ac- 
 count of intrinsic exactitude, but because : (i.) It affords the measures for 
 \i\n\6\n^\ht. great pyra7nid ; (2.) The sacred cudit was derived from it; 
 (3) ^^ gives the kabbalistic value for understanding the god-names in the 
 Bible, and for understanding the esoteric teachings in the mysteries ; (5.) 
 It appears at the foundation of the British measures. Its great value is, 
 then, that it is a literary key to the comprehension of ancient learning ; 
 and, in this aspect, its mathematical or geometrical value is, however im- 
 perfect, one that is of secondary consideration in this work. With this 
 statement it is to be noted, §5, that Mr. Parker's quadrature values are 
 obtained by area computations; §6, that there af'e curious features observ- 
 able in the details of the Playfair method ; §8, that mathematics is famil- 
 iar with definitions which are untrue; and, §9, that nature seems to afford 
 confirmatory evidence that Mr. Parker is right. 
 
 Problem of Three Revolving Bodies by Mr. Parker. 
 
 ?ii. This grows out of his quadrature, as a practical use of his re- 
 sults, for astronomical purposes, his postulate being, " The proposition is 
 therefore demonstrated that three gravitating bodies of equal magnitude, 
 revolving together, their relative motion shall be as four to three, or one 
 and one-third of one primary circumference." 2 12, § 13. Illustration of 
 use of this problem to obtain astronomical time, showing that nature rec- 
 ognizes the use of the Parker numerical forms. § 14. Table of astronomi- 
 cal time periods worked out by Mr. Parker. § 15. The setting forth of 
 the problems and claims of Mr. Parker is not in any way as affirming the 
 establishment of the ''Quadrature," or of the '■'Problem of three re- 
 volving bodies;" but as necessary, because, without the use of his con- 
 clusions, it -viiW forever prove impossible to reconstruct the pyramid agree- 
 ably with the intent of its architect.
 
 TABLE OF CONTENTS. 
 
 The Possibility on Mr. Parker's Forms of Raising a Co- 
 ordinating Unit of Measure. 
 
 \ i6. This enunciation explained, and a numerical result given to a geo- 
 metrical change of shape. § 17. This result proves to be a recognized 
 measure — viz., the ancient cubit, in terms of the British foot and inch 
 measure. Table of practical restorations of. ancient cubit value from dif- 
 ferent sources; the best being those of Sir Isaac Newton, from the g-reat 
 pyramid, and from the catacombs of Osimandya bj the French expedi- 
 tion of '99, the measures of which catacombs were (§ iS) discovered on a 
 Turin papyrus by Professor Gustav Sejffarth. § 19. Original value, 
 whence this cubit, shown to have been utilized as in British inches, creat- 
 ing the impression that the British long measures were of that ancient ex- 
 istence. 
 
 The Ansated Cross of the Egyptians., and the Christian 
 /^ Cross., the Embletnatic Display of the Origin of Meas- 
 ures. 
 
 ? 20. Circular measure taken off on to the edges of a cube. Cube un- 
 folded is in display a cross of the tau form, or Egyptian form, or of the 
 Christian cross form. Circle attached to the first, gives the ansated cross 
 of the Egyptians. Numbers 3 and 4 counted on the cross, showing a form 
 of the golden candlestick, and of the 3-1-4 = 7, and 6+1^7, days in 
 the circle of the xveek, as 7 lights of the sun. (So, also, as the week of 7 
 lights gives origin to the month and jca/-, so it is the time marker of birth, 
 p. 202.) §21. The cross form being shown, then by the connected use of 
 the form 113 : 355, the symbol is completed by the attachment of a man 
 to the cross. This kind of measure was made to co-ordinate with the idea 
 of the origin of human life (? 20), and hence iht phallic form. See § 23, 
 and comment by Professor Seyffarth ; also, the symbols there displayed. 
 §22. The vnsin's head symbol, of the sphere, or circle. 
 
 Primordial Vestiges of these Symbols. 
 
 §24. The Easter Isles. Crucified man in South America. Hebrew in- 
 scriptions in the American moufids. Curious data regarding the mounds 
 as alike Typhonic emblems with the pyramid of Egypt, and with Hebrew 
 symbols. Mounds showing British measures. Aztec, or " mound-
 
 VI TABLE OF CONTENTS. 
 
 builder" pyramid showing the use of the value 318, or diameter to a cir- 
 cumference of one^ as a civil calendar number. Old bronze axes of the 
 Phenicians identical in shape with the copper ones of the mound-builders. 
 
 British System of Long" and Land Afeasure^j^.Jjiclusive of 
 an Occult System of Time JlLeasfires. 
 §? 25, 26, 27, and 28, introductory to this inquiry. JVofe to § 33. jfe- 
 hovah is Noah, in the Hebrew, by literal transfer into British is the word 
 I-nch (see also noie, page 160.) : Also, «<?/epage 65, as to Jared, the father 
 of Enoch, being the Mount of Descent. Jared literally is YRD, or the 
 British word yard, a measure; and as source of descent is the British word 
 yard, used in the sense of membrum virile. (Let it be noted that the 
 British part of the language is, one may say, almost purely Hebrew, as is 
 fully within the experience of students.) Hebrew language noted for its 
 stem-building. The words fared, Ararat, Arets, earth, arour, cursing? 
 cognate forms under the idea oi from a source, as birth, or origin. Sec 
 also, in this connection, Introduction to Appendices (c), as to an exten- 
 sion of the same cognate form in Mars, as Generator o\- ihc germinating 
 principle. §34. God-names Eiohim and Jehovah numerical indices of 
 geometrical relations. God-name Eiohim, in its radicals, expressive, 
 also, of the differential yzXn^^ 31 and 36. A use shown of these differ- 
 entials. \ 35. A table showing a linking together of values of apparently 
 incongruous subjects matter. (2.) Lunar year of ancients 355 — i = 354 
 days. Time scale of measures, year values, of 355, 360, 365, and 354, 359, 
 and 364 days. (3.) Relation of 6561 : 20612 to 113 : 355.00014-; and 
 113 : 355-OOOI-I- to 36 : 113.0973-t-, where, by a slight change 113 becomes 
 a circumference to a diameter of 6 X 6 = 36. 
 
 Introduction to Construction of Great Pyramid. 
 
 § 38. Measures by Professor Piazzi Smyth, taken on the British stand- 
 ard at Edinburgh, He found the measures of Colonel Howard Vyse, of 
 the Tx^r^ch savants, and of Professor Greaves, of Oxford, reliable. \ 39. 
 (<f.) Measures of passage-ways, and chambers, showing variations on 
 a mean of measure. 
 
 Standard Measures of the Pyramid. 
 
 ?40. One object of construction may be taken as astronomical, because 
 north base side co\nc\dQS w\i\\ parallel of 30° N. latitude, {b.) Another 
 may be taken as geometrical. Measures of the mass by Professor Smyth. 
 §41. Standard measures shown in use of Parker forms. Compari-
 
 TABLE OF CONTENTS. vii 
 
 son with measures by Professor Sm_yth. Remarks. §42. Standard measures 
 of the king's chamber. §?43, 44, 45. Actual measures as enlargements on 
 the standard, with a reason for the variation, (i 46. System of enlarge- 
 ment applied to ascertain the measures of the king^s chamber. [See Ad- 
 denda, («.)] Enlargement on the standard founded on a law. (1 47. 
 Enunciation of this law. Note: Base side of pyramid diameter to a cir- 
 cumference of 2400. 24 is 6 X 4- Base of pyramid would then represent 
 co-ordinately a square of 24 to the side, divided into 4 parts of 6 each. This 
 is the Garden of Eden iorm\ also that of the Hebrew Zodiac (also that 
 of the encampment of the Israelites). §48. Discovery of this law de- 
 rived from "Historical View of the Hindu Astronomy," by Mr. John 
 Bentley. Analysis of the Hindu system, and its object shown ; for calcu- 
 lations of sines, co-sincs, tangents, co-tangents, and orbits of planets. 
 Same object made apparent in the measures of the king's chamber. §49. 
 Note a connection between the Parker and Metius forms, with relation to 
 the factor value 6. I 50. Table of standard measures of restoration of 
 the great pyratnid, made thus far. §51. Measures enlarged on the 
 standard. I 52. Measures as actually made or computed in terms of the 
 British inch and foot. ? 53. Table on these enlarged values, where, in 
 every case, 31S is the quotient of the diameter divided by the circumfer- 
 ence. 318 Agnostic value of Christ, and of the trained servants of Abra- 
 ham (also of the word Eliezer of Damascus, Abraham's steward). Hindu 
 time periods founded on factor 6. §54. System of factoring to obtain 
 the standard measures from the Parker circumference of 20612. 
 
 Effect of Putting the Pyramid in a Sphere. 
 
 §55. To develop the number 216330. This number found as an ellipti- 
 cal difference. True pyramid springing from a pyramid in the original 
 Parker numbers placed in a sphere. \ 56. Solar year value obtained fiom 
 i base side of pyramid, and the sine oi -rp degrees. §57. Equatorial and 
 polar diameters of the earth obtained. Note (page 104) : Length of pas- 
 sage from edge of great step, through antechamber, to king's chamber, 
 taken from the miles equatorial value of the earth. See, as to this, note, 
 page 139. §60. Square root of the solar year displayed in the king's 
 chamber. §62. Hebrew Biblical scheme in some measure bearing on 
 this. 'idZ- The base of the pyramid includes the thickness of the pave- 
 ment. §^64 and 70. Location and length of descending passage-way, 
 with respect to the inclined outside, to the base, and to the vertical axial 
 line of the structure. §71. Descending passage-way set off to the east- 
 ward of the vertical axial line of the pyramid, 24.4219-!- feet. ? 72. Di- 
 mensions of the descending passage-way. § 73. Location of intersection
 
 Vlll TABLE OF CONTENTS. 
 
 of floor line of ascending passage-way, witli the roof line of descending 
 passage-way. Floor line of ascending passage-way, with relation to the 
 base of the pyramid, to the levels of the queen's and king's chamber, and 
 to the vertical axial line of the mass. ? 74. Abstract geometrical elements 
 laying at the base of the tnlerior construct iott of the pyramid. \ 75. 
 Length of king's chamber level. § 76. Elements of dimensions of queen's 
 chamber. § 77. Height from floor of subterranean passage-way to the 
 gable roof of Campbell's chamber. ^79. Height of level of passage to 
 queen's chamber above the center of the sphere, in which the whole pyr- 
 amid is supposed to have been placed. § 80. A method of placing a sa- 
 lient height line for the interior construction of the pj^ramid. § 81. Close 
 of effort at reconstruction of the pyramid, with remarks. John A. Par- 
 ker's method of quadrature and his problem of three revolving bodies 
 thought to be the base oj the Pythagorean and Egyptian systems of geom- 
 etry and astronomy. § 82. Pyramid symbolization ; having a Hebraic 
 and Biblical application to set forth a primal one under a Jehovah and 
 Noah form. Jah is Noah, or Jehovah is Noah., in Hebrew would be I^J*, 
 or literally, in English, Inch. 
 
 TJie Temple of Solomon. 
 
 \ 84. Introductory remarks. Details of description. Remarks on the 
 word cherubim. Comparison of the measures of the temple with those of 
 the pyramid. Kabbalistic elucidations with regard to astronomical fea- 
 tures of the temple. 
 
 Introduction to Appendices. 
 
 §85. (a.) The opening sentence in Genesis. (3.) Its parallel numeri- 
 cal reading. Elohim a circumference value of 3.1415 to a diameter of 1. 
 (c.) Arets, earth, Adam, man, and H-Adam-h, earth, are cognate with 
 each other, have a like signification, and are pers07iijicd under one form, 
 as the Egj'ptian and Hebrew Mars, (d.) Enigmatical constructions ap- 
 pearing in the first face-readings of the Bible narratives. Illustrations 
 and examples given. 
 
 Appendix I. 
 
 \ 86. The Garden of Eden an Adam, or 144 form. §87. The produc- 
 tion of the woman from the side of the man, or the number value 5315 
 from 113. The rib a determinative ot the method, (c.) (i.) The woman 
 form of the garden the source of the Holy of Holies, by type, and of the 
 four typical rivers. (2.) Object of the glyph to display the Parker and 
 Melius number forms of 20612 : 6561 and 355 : 113. {<f.) Other deter-
 
 TABLE OF CONTENTS. IX 
 
 minatives. § 88. The Garden of Eden as the 7th day. (The Hebrew 
 words : sacr, as membrum virile^ the base of the Latin sacr with facto., 
 and also of the English 5a'cr-ifice and 5acr-ament; and sanctified., or the 
 Hebrew Kodesk, as showing a sexual or productive use.) Garden of Eden 
 display in the Eleusinian mysteries by women, in the use of the basket 
 and serpent. Curious learning as to this. Note: Mystery of the cross 
 but deepens, as one gathers knowledge as to it. 
 
 Appendix II. 
 
 § 89. Time calculations founded on Abram, Mclchizedec, Hebron., or 
 Kirjath-Arba, Joshua the son of Nun, and Caleb the son of Jephtinneh, as 
 connected with the narratives relating to these personages. (Abram is 
 Abra with an appended m final, and Abra read backward is Arba, the city 
 in which Abram lived.) § 90. Abraham and Isaac to be taken together as 
 a year circle value of 355, which is the Hebrew word shanah, or year. 
 Curious learning. Time year values as 355, 360, 365. 
 
 Appendix III. 
 
 §91. The word Logos, or Word, connecting with John, or Jonah, or 
 Dove, with Jehovah, and with Jes-\x?,, through the fish. John the same 
 with Jonah. The word beginning. John and Jonah as Dove. The 
 fish as connected with Dove, or John, or Jonah, to make Jehovah, {f.) 
 The Te Deum and the birth of the Savior, (g.) The Dove used in cal- 
 culations of the year. (^.) New Testament use. Note, as to the river 
 Jordan and its fisheries. 
 
 Appendix IV. 
 
 A method of construction of the Julian Calendar from the different 
 year values of the ancients. \ 92. Garden of Eden one of the birth of 
 time, and of man. Year values, 355, 360, 365 ; from these another scale 
 of 354, 359, and 364, of which the last value, 364, arises from the -woman 
 number 'J, and connects this as a woman number with 355, which is an ab- 
 stract circumference to a diameter of 113, or man value. Page 229: Pic- 
 tured use variously displayed; Hindu display clearly marking the Hebrew 
 use; it is that of the woman hermaphrodite Indranee-Indra, the nature 
 goddess, the Issa of the Hebrews, and the Isis of the Egyptians. Page 
 2y:): '■'■Remission of sins," having reference to a '■'■ neiv birth unto right- 
 eousness," explainable under the type of shedding of blood in concep- 
 tion. Page 232 : Julian Calc7idar Division. § 92. (5.) The possible 
 heel meaning of the 217 days. Name of Jacob the same as Jah is heel.
 
 X TABLE OF CONTENTS. 
 
 Page 333 : Possible determinative sentences in 4th Genesis. Seth same 
 as year. His son Enos.h same as 365 — 1 =364, showing two jear values. 
 The above use somewhat strengthened by the zodiacal sign of the fishes. 
 Page 235 : The word Pdradise as having a bearing on this subject. (It is 
 the same as would be the use of the English expression Divide-O, in- 
 tended to mean the division of a circle, the Hebrew letter samech for O, 
 indicating, beyond the circle, its value of 360°.) Page 236: The Heel 
 value appearing, as connected with the measures of the queen's chamber 
 in the pj-ramid. Page 237 : Curious learning as to the meaning of the 
 ritualistic fact of circumcision. Relation of the J>repttce to the sacr, as of 
 the female pudenda to the membrum virile ; hence the type of a spiritual 
 marriage by consummation. 
 
 Appendix V. 
 
 The Flood and the Ark of Noah, ivith their Strange Kabbalistic Biblical 
 
 Relations. 
 
 §93. Prefatory remarks. Substance of the Old Testament lays in the 
 books of the Lavj. All the rest but expansion, explanation, targums, en- 
 forcements, etc. Laiv divided into the framing of the ritual and the 
 enunciation of the moral precepts ; more space taken up by the former 
 than the latter. Building of the pyramid occupies the first chapters of 
 Genesis. The Biblical containment of the pyramid structure. Page 240: 
 The use of the names Shem, Ham, and Japhet, as determinative of pyra- 
 mid measures, in connection with the 600-year period of Noah and the 
 500-year period of Shem, Ham, and Japhet. Page 241 : Method of calen- 
 dar correction contained in the flood narrative. Page 242 : Correction of 
 the 600-year period. The going into the ark an expression of the blotting 
 out of days as a method of calendar correction. Page 243 : The terms 
 " sons of Elohim " and " daughters of H-Adam " for one thing astronom- 
 ical terms. Page 243 : The 1.50 days of the flood the correction of the 
 600-year period, and the determinative of this use. The fixing a limit for 
 the closing and opening of the year at the winter solstice point, by the 
 figure of the subsidence of the flood and the grounding of the ark. Page 
 245: The word for flood, m'bul; root-word bul, or name of the rainy 
 month. Page 246: 8th November same as 13th Julian style, by use of the 
 epagomenai days, making the first 40 days of the flood end on the 22d day 
 of December. Page 24S : Curious learning as to the balance of 110 days 
 to make up the 150 days. Other number rests or stops in the flood narra- 
 tive, involving the numbers 113 and 355. Page 249: The number values 
 of the birds, viz., 113 X 6, and 355. Page 250: Mount Ararat, or Jared, 
 or Yard, and its significations. The place of Ararat, or Mount Jared, in
 
 TABLE OF CONTENTS. XI 
 
 the Adamic Chronology. Page 251: Astronomical personification. Ararat 
 same as the Roman yanus Bifrons and St. Peter. Page 252 : Peter same 
 as cube of 5 under the name of the stone. (There is a curious reflection 
 here. Matthew 16, v. 18, says: "Thou art Peter (rock or stone), and on 
 this stone I will build my church." The only other place in the gospels 
 where the word church is used is in chap. 18, v. 15,6/ seq., where there 
 is commandment for the settlement of trespasses by the church. In 
 both these places the power of binding and loosing is given, showing a 
 direct connection. Contrast this with chap. 5, v. 23, et seq., where there 
 is command for reconciliation with the brother before bringing the gift to 
 the altar. Now, it is most strange : the word for church is ecclesia, which 
 is a term of separation, or of the comers out from, and could have had no 
 existence until not only after the death of Jesus, but until the destruction 
 of the altar and temple ; for so long as there was an altar and temple, 
 just so long the Jews, by the commands of Jesus, -were to obey the law. 
 Has there been interpolation here.' or were these sentences used prophet- 
 ically?) Page 253: Other types and teachings. Page 254 : Curious, but 
 illustrative, opinions of the church as to women. Page 255 : The twofold 
 character of the Messiah, and its paralleled Hebrew and Greek mode of 
 origin. Page 258 : The Meshiac condition connected with the geograph- 
 ical location of the head-waters of the Jordan river. Page 259 : Curious 
 learning as to the salient dates of Biblical occurrences agreeing with as- 
 tronomical time marks. Page 260: Remark as to the " Life of Apollonius 
 of Tyana, by Philostratus," and its connection with the life of the Savior. 
 Page 261 : Other Meshiac types and shadows. Accounts for the conver- 
 sion (which word means turning' as on a hinge") of St. Paul. Why he was 
 Saul and Paul. Page 262 : Saul and David. (Note that while Saul was 
 son of Kish, in Hebrew 113, so David was son of Jesse, or ^^*, 
 and this word placed in a circle reads 113.) Page 263 : Acrostic uses in 
 the Bible; HIS, and Shem, Ham, and Japhet. Roman badge. 
 
 Appendix VI. 
 
 § 94. Grand determinative at the close of the flood, going to show that 
 the confusion of lip did not necessarily imply confusion of knoivledgc. 
 An evidence of common p6ssession of this knoxvledge. § 95. The con- 
 struction of the Tabernacle as a dwelling of Jehovah. Page 271 : Number 
 value of name of Moses is 345; that of Jehovah, in His assumed name of 
 I am that I am, is the reverse of this, or 543.
 
 XU TABLE OF CONTENTS. 
 
 Appendix VII. 
 
 ? 96. An essay on the fourth chapter of Genesis, showing the continued 
 relations of the Garden of Eden measures as connected with those of the 
 pyramid, and an attempt at deciphering the hieroglyphic or deeper read- 
 ing of the narrative ; connecting also the plan of encampment of the Is- 
 raelites (a Garden of Eden form) with the closing scenes of the New 
 Testament. (The idea is to be noted here, — in reference to the fact found 
 in the text that the solstice and equinox lines do not divide the year circle 
 equally, and that the half of the year on the autumnal side of the solstice 
 line is 3 days larger than the other, — that, astronomically, the three days 
 of the Savior in the ark, ox ground, or grave, may have had reference to 
 this fact. Another note is here made as to one of the values of the words 
 Garden of Eden, shown in the text to be 177, which may be useful. Ten 
 cubits is numerically 17.17666+ feet, and this squared is the surface of 
 one of the faces of a cube ; and this multiplied by 6, would equal the en- 
 tire superficies of a cube. The Holy of Holies was a cube of ten cubits ; 
 therefore, this expression would apply to it. Now, the operation gives 
 17.17662X6 = 1770+; wherefore, the value of the words Garden of Eden, 
 as 177, mzy,for one phase, have indicated the cube of the Holy of Holies. 
 Further, as a note, there seems to be a connection between the 7 (seven) 
 fold of Cain and the 70 (seventy) fold of Lamech, with the 7 and 70 
 times of forgiveness by Peter.) Page 300: False rendering of the words 
 of the Savior as given in Matthew, chap. 27, v. 46. Page 301 : This false 
 rendering a purposed one to give force to a mystical sense. Page 302 : 
 Comments by a clergyman on the " Study of the Bible," appropriate as 
 to the contents of this work. 
 
 Conclusion of Appendices. 
 
 § 97. Authorities for an esoteric reading of the Bible. Rabbinically. 
 By the Church. \ 98. The esoteric teaching confined to the few. The 
 Bible a Divine, or spiritual work. God -the immediate Causer of each 
 sequence. He must be a conscious entity. Page 309 : Mystery, dark-say- 
 ing, and cloaking, the burden of the Testaments. § 99. Are the keys of 
 this esoterism lost.? Page 309 : Possessed by the Roman Catholic Church, 
 and by the Free Masons ; and probably by the Greek Church and the 
 Brahmins. Traces of it in the English Church. Page 310: Resolutions of 
 the Academy of Sciences, and of Royal Society of London, against en- 
 tertaining a thesis on the subject of the Quadrature, perhaps an indication 
 of a motive for concealment of the hidden wisdom. Page 311 : Two evi-
 
 TABLE OF CONTENTS. XUl 
 
 dences of the modern existence of this knowledge. Templar emblem of 
 the old man. (The five-rayed star, or pentapla, as signifying a pyramid.) 
 The Genius of Free Masonry, and detailed description of its meaning. 
 Page 314: The province oi ritualism. Page 315: Ritualistic symho\s. 
 (a.) The T'phillin; (3.) '~i\\& cross 2iX\dL rosary. Page 318: Conclusions 
 by the author. A discovery by the author, made as these last sheets are 
 in the hands of the printer, is too important to be omitted, and must find 
 a place here. It has a bearing upon the whole work, both as to Mr. 
 Parker's claims, as supporting them, and also as to the Biblical contain- 
 ment of his forms, as the perfect, or Divi7ie, ones. Mr. Parker's work 
 goes to the extent of showing an integral relation of area of a square to 
 that of its inscribed circle, and of diameter to circumference of a circle 
 by use of a basic nutnber forin as seen. Now, if from the same basic num- 
 ber the harmony extends to the development of an integral relation be- 
 tween the cube solid, and the solid contents of its inclosed sphere, this, by 
 harmony, is in very nature almost conclusive of the natural or Divine na- 
 ture of the origin of the Parker forms. Let the difference between Mr. 
 Parker's relation of diameter of one to circumference, and the accepted 
 one be first stated : The accepted one is i : 3.141592+, while that of Mr. 
 Parker, being 6561 : 20612, is i : 3.1415942691+. For singularity of re- 
 lations connecting Biblical numbers referred to in the text with geometri- 
 cal changes of forms, by means of the Parker quadrature elements, take 
 the following : 
 
 The running values of the letters of the Hebrew word man (J^*{^) 
 are 113; the full values, added, are 311 ; and so, also, the full value of the 
 Hebrew words the -woman (nt^J^^H)' added, are 311 : so that 311 is both 
 man and the -woman, while 113 is man. The form stands 311 — 113, which 
 reads the same either -way. But the term man as aish is a form of Adam, 
 a.nd Adam is 144; and on the four cross lines of the square, from verge to 
 center, the values read, or are taken as 144 — 441, or the reverse (and tak- 
 ing the square thus divided as the squared Zodiac, while one 441 is the 
 Hebrew dami (441), or the vertical line as the sun overhead, or solstice 
 line to the center of the square, another 441 is the datni (441), as the 
 bloods of Abel shed, and is the line of the ecliptic, or equinox, from the 
 autumnal edge to the center of the square.) But thus we have two forms — 
 viz., (i.) 311 — 113, and (2.) 441 — 144; linking themselves together. But 
 from the matt form 113, the -woman was taken as 5315, and there resulted 
 the form 5315 — 5135; and by dropping the two fives in the center of the 
 square, we had remaining the form 531 — 135, or -woman as 135, and its re- 
 verse 531 : whence were derived the Melius and Parker forms, showing
 
 XIV TABLE OF CONTENTS. 
 
 one object of the use. Thus there are three forms all connected together 
 under the names man, the -woman, Adam, and -woman, and they can be 
 placed as — 
 
 3"— 113 
 441 — 144 
 
 531—135 
 It is said o{ the -woman that she was taken from Adam, and afterward that 
 the Lord God brought her to the Adam, showing some use o^ -woman vfKth. 
 Adam ; so take the above form of -woman, or 135, and Adam, or 144, to- 
 gether, 
 
 as 135—144 
 
 or reversed, as 531 — 441 ; 
 
 which last form, reversed, is Adam joined to woman, or the hermaphro- 
 dite iorm. But take it that there is a significant meaning to the form 
 531441 {as t hus obscured), as disclosing a development of the Parker 
 Quadrature forms, thus : 
 Take the Parker forms, or — 
 
 (i.) Area of square, 6561. 
 
 Of which the side of square is, 81. 
 
 (2.) Area of its inscribed circle, 5i53* 
 
 Of which the diameter is, 81. 
 
 Then cnanging area to rectification, or line, measure : 
 (3.) Diameter being 6561. 
 
 Circumference is 5153 X 4= 20612. 
 
 And now there develops from area and line, to cubic measure, by a 
 wonderful and harmonic sequence, as follows : 
 (4.) The square of Si to the side in (i.) cubed is 
 
 6561X81=531441 
 or the connected form of -woman Adam ; and now (as discovered by the 
 
 author March 10, 1875), 
 
 I 3 
 
 (5.) The 5£>//</ contents of a sphere is to be had by the form-; 77 Dia. 
 
 3 
 (see any geometry); which for a diameter of 81 as in (i.) is 81 X 
 
 (3.1415942691 -i-6 = ) .523699044S+ ; and, as a i^ct, this is precisely the 
 
 same as 20612 [rectification of circumference in (3-)]Xi35- So that 
 
 3 
 while the area in (i.) changed into a cube is 81 , or 531441, the solidity of 
 
 the contained sphere is 20612 X i3-5 = 27S262, showing a continued inte- 
 gral relation ; where the solidity of the sphere is the Parker circumfer- 
 ence multiplied by 135, or by -woman, and where the solidity of the con- 
 taining cube is expressed by the reversed form of -woman-Adam, or 
 
 53M4I-
 
 TABLE OF CONTENTS. XV 
 
 By this a leading is shown to closing up these curious relations, won- 
 derful as eventuating in integrals : 
 
 (i.) Relation of area of square to that of inscribed circle. 
 
 (2.) From this is derived linear relation of diameter to circumference 
 of a circle. 
 
 (3.) And, then, from (2.) the value of linear circumference multiplied 
 by ivoman, or 135, gives the solidity of the sphere inclosed in the cube of 
 one of the bases of which {1.) is the area; the cubic contents of which 
 
 cube is Si or 531441, or reversed, 144 — 135, or a use of the joined values 
 of Adam and -woman. 
 
 This shows that there is /« nattere not only an integral relation between 
 the value of the area of the circle inscribed in the square to the area of 
 that square, and between the linear diameter to circumference of a circle, 
 arising from the same numerical forms, as stated by Mr. Parker, but that 
 on the same numerical basis it is to be shown that the integral relation of 
 the cube to its contained sphere is 531 — 441 to 20612 X i3-5= 278 — 262 : 
 and this harmony, with such multitudes of others as have been shown, 
 only goes to confii m the fact that the Parker relations are the true nat/iral 
 ones from eternity to eternit)- : and are the ones on which the Bible is 
 built. 
 
 To complete the integral relations. The surface of the cube of 81 to 
 
 the edge is one face = 6561 X 6;= 39366. Surface of contained sphere ^^ 
 
 2 
 TT Dia. :^3.i4i594269i X6561 = 20612. 
 
 The following and closing relation, discovered March 17, 1875, is too 
 important to omit, as it has a bearing upon the foundations of the quad- 
 ra tare. 
 
 Standard circumference of base of pyramid has been shown to arise 
 
 from integral relation of diameter of 6561 to circumference of 20612 ; where 
 
 4^ 
 20&12 is multiplied by _„, and this as inches, divided by 12 ^381.7037 + 
 
 feet, the half base side of the pyramid ("§ 41). Actual circumference of 
 base of pyramid, enlarged on this, is where the relation is taken of cir- 
 cumference of one to a diameter of .3183097 + , which diameter multiplied 
 by 12 =3.8197166+, and by 100 = 381.97166+, gives a variation on 381 •- 
 7037 + - The circumference of 20612 on which these relations are raised, 
 is founded by Mr. Parker on the area of 5153 of the circle inscribed in a 
 square of an area of 6561, the side of which square is 81.
 
 XVI TABLE OF CONTENTS. 
 
 Now, to show that these very elements of circular relation are natural, 
 and actually have connection with the elements of the square : 
 
 (i.) The mean proportional between 381.7037+ and 381.97166-)- is 
 381.S3766+. 
 
 (2.) The diagonal oi 2l square whose side is 81, is 114.55129S-I-, and this 
 
 divided by -~ 381.83766-r, or this very mean proportional between these 
 
 circular elements : and this shows that the elements of the square do of 
 themselves by nature contain relations to the elements of the circle ; which, 
 again, proves that Mr. Parker's results are well taken according to nature, 
 and are consequently right. 
 
 The value 1 145.51298 -h 5 =: 22910+, is a reduction of this connection 
 between circular and square elements, and the author believes (from mem- 
 ory) that 229.10+ is marked, in inches, as a measure of antechamber pas- 
 sage in the pyramid, by Professor Smyth. 
 
 The mean proportional 381.837+ is the square root of 1458, or 486 X 3- 
 
 March 22, 1875.
 
 THE SOURCE OF MEASURES. 
 
 INTRODUCTION. 
 
 The following, in place of a work, strictly speaking, is 
 rather an essay or study. It is like the study of an artist, 
 where it comprehends many details in outline going to 
 make up a whoJe, yet unfinished and subject to change, 
 here and there, as the blending of details may prove in- 
 harmonious or incongruous to the general scope of the de- 
 sign. Unlike such a study, however, others can join in 
 the labor of completing the task ; and it is hoped that it 
 may prove an incentive to that end. 
 
 The whole constitutes a series of developments, based 
 upon the use of geometrical elements, giving expression in 
 a numerical value. These elements are found in the work 
 of the late John A. Parker, of the city of New York, set- 
 ting forth his discovery (but, in fact, the rediscovery) of a 
 quadrature value of the circle. Upon this one, that of 
 Peter Metius, of the sixteenth century, seems to be a varia- 
 tion. 
 
 Mr. Parker makes use of an element of measure of the 
 equilateral triangle, by which, as a least unit of measure, 
 to express tha measure of the elements of a circle in terms 
 of the numerical value of a square : so that, as a conclu- 
 sion, a square of 8i to the side, or 6561 in area, shall con- 
 tain a circle whose area equals 5153; or, rectifying the 
 circumference, a diameter of 6561 shall have a circum- 
 ference of 5153X4=20612.
 
 Introduction. 
 
 Let it be understood that the question of value of the quadra- 
 ture, whether by Mr. Parker, or by Metius, as to whether it is 
 the expression of exactitude of relation, does not arise ; nor is it, 
 save incidentally, pertinent to the subject-matter in hand. While 
 this work thus is relieved of any necessity of examination into 
 the question of the possibility of what is called " the quadra- 
 ture." or "■ the squaring of the circle" nevertheless, it is neces- 
 sary to a proper understanding of the whole that some, to many 
 persons very dry, details of Mr. Parker's construction of his 
 quadrature should be set forth in the very commencement. In- 
 cidentally, however, it is thought that the matters established 
 herein, as having a direct relation to the holy things of God, as 
 laid down in Scripture, will force an inquiry, on the part of de- 
 vout people, into the abstract question of " the quadrature" 
 both as received and as set forth by Parker and by Metius ; and 
 also into the question of any special value of the quadrature by 
 Parker, as related to the generally accepted one. 
 
 One development is as follows : The numerical value, 
 20612, of a circumference is made use of to derive from it 
 a unit of measure for linear, supe7fcial, and solid meas- 
 ure. Thus, as a common unit of measure is the edge of 
 one of the faces of a cube, and as there are twelve edges 
 to the cube, the division of 20612 by 12- is the distribution 
 of this value onto these 12 edges; so that the quotient, 
 which is 1717. 66+, is that unit of measure, which is, how- 
 ever it may be used, convertible into circular, and again, 
 back into the geometrical elements whence derived. And 
 this is obtained by the special numerical value, 171766-f , 
 the one-twelfth of 20612, whether, as a fact, it be used as a 
 whole or as a part, as 1.71766+. Now, as a fact, 1.71766-f- 
 of the British foot is the ancient cubit value; hence, the 
 whole scheme thus far displayed has been practically util- 
 ized, inasmuch as 20612 is thus seen to be of the value of 
 British inches, while its derivative of 171 766+, so divided 
 or scaled as to represent i. 71 766+, is the ancient cubit. 
 
 This is confirmed from the fact of restoration, by means 
 of these numerical values, of the great pyramid of Egypt, 
 in terms of the British measures thereof made of late years. 
 
 Another developnient is that, by a variation on the use 
 of these numerical values, taken systematically, not empiri-
 
 Introduction. 
 
 cally, a diameter value to a circumference value of 6 is 
 found, which is discovered to be the basis of the Hindu 
 method for the calculation of tables of sines and cosines^ 
 tangaits and cotangents^ and of the orbits of planetary- 
 bodies ; which variation, as an enlargement of the above 
 values, on application, is found to give the exactitude of 
 the pyramid measures, agreeably to the design of the archi- 
 tect, thus again coupling a modern with an ancient use. 
 
 Another development is that the British system of long 
 and land measures is discovered to contain an occult or 
 obscure system of time calculations, based on the fac- 
 tor 6, by which it is seen that the entirety of the British 
 measures rests upon these anciently developed elements, 
 and thus is, in fact, but a phase of the Hindu system. 
 The factor 6 is the base of the acre and mile measure, 
 running up from the inch and foot, and the equivalent 
 of the base side of the pyramid (which is a diameter 
 value to a circumference of 24) is the side of a square, di- 
 vided into four equal parts of 6y^6 each, in terms of the 
 British foot, and necessarily the inch ; hence the advanced 
 measures, as far as the mile, are thus involved. But while 
 this is so, the means of obtaining this pyramid measure is 
 through use of the Parker elements ; hence the Parker 
 elements are thus connected with the whole range of Brit- 
 ish measures. 
 
 But the greatest development is that the entire system 
 seems to have been anciently regarded as one resting in 
 nature, and one which was adopted by nature, or God, as 
 tiie basis or law of the exertion practically of creative 
 power — i. e., it was the creative design, of which creation 
 was practically the application. This seems to be estab- 
 lished by the fact that, under the system set forth, meas- 
 ures of -planetary times serve co-ordinately as measures 
 of the size of planets, and of the peculiarity of their shapes — 
 i. e., in the extension of their equatorial and polar diame- 
 ters, in terms of the British measures, or the cubit meas- 
 ures arising, as stated, from the forms of Mr. Parker. 
 
 The true study of the Deity by man being in the observa-
 
 Introduction. 
 
 tion of His works, the discovery of a fundamental creative 
 law (in numbers and measures), as regards His works, of 
 as wide and comprehensive grasp as shown, would locate 
 the substance of such a discovery as the practical real tan- 
 gible link between God and man, as that by which man 
 can in a measure realize the actually existing working 
 qualities of God, just, speaking most reverentially, as he 
 would those of a fellow-man — as, say, of a mason, or of a 
 carpenter ; thus revealing tangible existence, likeness, re- 
 lationship, and, remotely, companionship. Such a link, 
 once found, would constitute a base for superstructures of 
 recognition, praise, worship, and copy. As a fact, this 
 system seems to underlie the whole Biblical structure, as a 
 foundation for its 7'ihialism, and for its display of the works 
 of the Deity in the way of architecture, by use of the sa- 
 cred unit of measure in the Garden of Eden, the Ark of 
 Noah, the Tabernacle, and the Temple of Solomon. 
 
 Such seem to be the characteristics of development from 
 the elements of quadrature of the late Mr. Parker. The 
 extent to which the development is made so as to compel a 
 mental assent, must be tested, of course, through the con- 
 tents of the work. There is no disposition on the part of 
 the author to make any assertion as to the strength of his 
 work. What he has done has been done to the best of his 
 ability, and he believes that a studiously careful reading 
 of the work done, will be that, and alone that, upon which 
 any fair criticism can be based. 
 
 Since, after all, all matters of science subordinate them- 
 selves to any one by which man can arrive to a realizable 
 knowledge of God, all things in this book are of poor value 
 in every other regard, comparatively, save as they lead up 
 just to this kind or condition of knowledge. Such being 
 the case, the following statements may be made as intro- 
 ductory : 
 
 (i.) The '•'■^ladrature of the Circle," by John A. Par- 
 ker, sets forth the integral relation of diameter to circum- 
 ference of a circle as 6561 to 2061.2, derived from area 
 computations, viz : area of square being 6561, area of in-
 
 Introduction. 
 
 scribed circle is 5153 ; and diameter being 6561, rectifica- 
 tion of circumference is 5153X4=20612. 
 
 (2.) It appears that nature was regarded as making use 
 of this numerical relation, as a law or application of num- 
 bers to measures, by which to construct the mechanical 
 properties of the universe ; so regulating the times of the 
 planets that they should move by a numerical system such 
 that by it the measure of their shapes was to be obtained in 
 a definite class or scale of measures adapted to the same 
 system : so that movement should co-ordinate with size 
 under the same system. 
 
 (3.) However man obtained knowledge of the practical 
 measure, the British inch, by which nature was thought to 
 adjust the planets in size to harmonize with the notation of 
 their movements, it seems he did obtain it, and esteemed 
 its possession as the means of his realization of the Deity — 
 that is, he approached so nearly to a conception of a Being 
 having a mind like his own, only infinitely more powerful, 
 as to be able to realize a law 0/ creation established by that 
 Being, which must have existed prior to any creation (kab- 
 balistically called the Word) . The knowledge thus gained 
 was simply that of the measure spoken of with its uses, in 
 connection with the geometrical elements from whence it 
 sprung. 
 
 (4.) This knowledge as to its origin, interpretation, and 
 use, became somehow that of a caste condition. As such 
 it was most sedulously concealed, and when set forth it was 
 only in a secret or very obscured way. One way of set- 
 ting it forth was by hieroglyphic writing. This method is 
 the burden of the Hebrew Bible. Another way was by 
 architectural display. The greatest ever made was in the 
 great pyramid of Egypt ; the next greatest seems to have 
 been in the temple of Solomon. 
 
 (5.) It is thought the restoration of this pyramid agree- 
 ably to the design of the architect, will affbrd the means of 
 translation of the hieroglyphic meanings of the Hebrew 
 Bible, as, on hypothesis, the one was written and the other 
 built to set forth the same natural problems.
 
 Introduction. 
 
 The first step, therefore, necessary to the deciphering 
 of the hieroglyphic or symbolic meanings of the Hebrew 
 Bible, is the restoration of the great pyramid after its archi- 
 tectural conception. This is the chief burden of this work ; 
 and it is thouorht that the intent of the architect has been 
 so far recovered as to justify publication. Secondarily, it 
 is to be shown that the Temple was but another architec- 
 tural style of setting forth the same measures with the pyr- 
 amid. The balance of the matters, condensed as much as 
 possible into brief outline, chiefly serves to exemplify the 
 method of Biblical application of the pyramid system. 
 This balance is noted here and there in the text, and is 
 contained in the appendices. It serves to relieve the dry 
 details of figures and calculations, to show related connec- 
 tions, and is hoped to excite interest in the whole subject, 
 and to stimulate those who may read, to an earnest effort 
 in the further prosecution of this subject so fascinating in 
 its elucidations. 
 
 The relation of 6561 : 20612 is both in the pyramid 
 structure and in the Bible coupled with the form 113 : 355. 
 Some connections between the two will be shown, but what 
 the exact basic relations between them were, as anciently 
 recognized, remains to be discovered.
 
 The Hebrew Alphabet. 
 
 THE HEBREW ALPHABET. 
 
 For the general reader to understand how a numerical 
 or mathematical system may lie closed up in the Hebrew 
 Bible, it may be well to state that the Hebrews, so far as 
 has come down to us, had no numeral system, apart from 
 their, literal one — i. e., their alphabet held their numerals, 
 just as if, in English, our a, b, c, stood for i, 2, 3, and so 
 on, in lack of the Arabic system of numerals, borrowed by 
 us, and now of exclusive use (although it would seem 
 that they were in possession of this system also). The 
 following is a table for reference, giving the Hebrew al- 
 phabet, the power of the letters, their symbols to some ex- 
 tent, with the numerical value fixed to each letter. The 
 laws of svmbolic use of words as numbers in the narrative 
 of the Bible are not known, and the real uses are only to 
 be accepted or received to the extent for which there is in- 
 trinsic proof. Otherwise, it is to be observed that where 
 the letter values rise above units to tens and to hundreds, 
 while the letter character may stand for, say, 20 or 200, 
 very frequentlv the characteristic value is used as giving 
 the expression of the unit value 2 alone. Thus, the letters 
 yy^, or the signs of 2, 20, and 200, may be read by their 
 characteristics of 2, 2, 2, without special reference to the 
 ciphers. So, also, ^^ may be read as 123, whereas, by 
 adding as the values are indicated, the sum would be 510. 
 In many instances, too, the right numbers, found by one 
 expression, are also made use of, by a reverse reading, for 
 some other use, connected or not. Again, the use may be 
 of numbers, simply placed above the letters of a word, 
 read perhaps in the reverse, or of the sum of the full 
 values, addition being made. Thus, the above number 
 maybe used as 123 or 321, or 510 or 015, agreeably to the 
 indications to be gathered from the context and the con- 
 nections, or from determinatives of the proper or intended 
 use to be found in the text. 
 
 A very remarkable feature of Hebrew usage is in the
 
 8 Introduction. 
 
 permissible interchange of letters of like class, and 
 sometimes of unlike classes — thus, the letters of any one 
 class, as gutturals^ etc., are interchangeable, and may be 
 made use of sometimes without change of the meaning of 
 the word, frequently for the purpose of working out a 
 slight modification of meaning, sometimes to indicate a 
 very marked departure of meaning. A good and very im- 
 portant illustration of this may be given. The verbal ^^1, 
 or Hay ah, or E-y-e, means to be, to exist, while 11^11, or 
 Chayah, or H-y-e, means to live as motion of existence. 
 The letter *, or /, ory', ox y, in these words, is interchange- 
 able with the letter •), or vau, or w, and the two words may 
 be read as TWT\ or mn, without change of meaning. The 
 first becomes Havah, or Eve, and the second becomes 
 Chavah, or Ch-v-e, and their meanings, as above, being 
 so slightly modifications of each other, they are as words 
 interchangeable one for the other — that is, one may be taken 
 for the other. Now, the first, literally, is Eve, while, as a 
 substantive, the second means mother, and is, in fact, the 
 proper name as given in Genesis for Eve, the mother of all 
 living. The Deity name, J'hovah, is a compound of two 
 words, viz., % or yah, and hovah, or IT)!!, one of the very 
 words in question. The word Jehovah, or fah-Eve, has 
 the primary significance of hermaphrodite existence or 
 being, as male-female, and is mH"^, of which the », or /, 
 or y, or y, stands for yah, or male, while T\*ST\ is a change 
 upon the word mil, for the purpose of getting the nu- 
 ineral form of 565 for 865 (originating in the yoni word 
 fsh, or pj=565) : niH as the woman, or Eve, making 
 up the male-female word Jah-Eve, was the primary intent, 
 the less significant word mil, as of i7iere being, taking 
 the place of the more significant one, for the sake of the 
 number value (springing through H^, or 565, as a flux), 
 which, in another view, as will be seen, is of the utmost, 
 and really of paramount importance. Thus, while it may 
 be said that none but a very slight change has been made 
 in the word forms, as to their meanings, a very marked 
 change has been made numerically, which was the pur-
 
 The Hebrew Alphabet. 
 
 pose of the change. The great power of kabbala rests 
 upon this kind of play, and is thus derived. Ordinarily, 
 grammatically, however, the same is worked under a law 
 of construction. Under the title " Orthographic Changes," 
 in his Hebrew Grammar, Green says : 
 
 " The signs (of the alphabet) thus far described represent all 
 the sounds of the Hebrew language. Its stock of words is formed 
 by combining these in various significant ways. The laws of such 
 combinations, and especially the mutations to which they are sub- 
 ject, or which they occasion, next demand attention. When a 
 particular idea has been attached to a certain combination of 
 sounds, its different modifications may naturally be expressed by 
 slightly varying those sounds. This may take place — 
 
 " I. By the substitution of one letter for another of like charac- 
 ter, and for the most part of the same organ, e. g. : 
 TX'T\ to be^ to exist ; n*n ^^ I I've. 
 
 " 2. By transposition of letters, e. g. : 
 
 VIS to deal violently ; ^^^i3 to urge. 
 
 " 3. By the addition of a letter. 
 
 >1<** *>!<>(; 5[<;i<^ 
 
 " Such literal changes as those just recited not only serve to ex- 
 press new shades of meaning, but even where the meaning re- 
 mains precisely the same, they may represent diversities of other 
 sorts. * * * The lexicographer regards such words (under- 
 going such changes) as cognate, and traces them back to their 
 common source." 
 
 These subjects can be but touched on in this work. Vol- 
 umes have been written on them, and it would be well to 
 treat them more at large in this connection could it be done 
 in a manner not to confuse the main object. It must suf- 
 fice to close with the Alphabet table. 
 
 No. Form and power. Name. Symbol. 
 
 1. J^ a scarcely audible Aleph. Ox or Bull. 
 
 breathing. 
 
 2. ^ <5, (5//, or bv. Beth, House. 
 
 3- .3 S^^^^- Gi'mel. Camel, serpent erect 
 
 (Sharpe). 
 4. "J c/, dh. Da'leth. Door, 07pQ<:}a[u(;diingc?
 
 lO 
 
 Introduction. 
 
 No. 
 
 Form and power. 
 
 5- 
 
 n 
 
 ,^; Latin e; Greek ^ ; 
 smooth breathing 
 (Fuerst). 
 
 6. 
 
 1 
 
 V or iv. 
 
 7- 
 
 r 
 
 z. 
 
 8. 
 
 n 
 
 ch^ kh, hh; Latin h; 
 
 Greek H, v; rough 
 breathing, or the 
 Greek x (^Fuerst). 
 
 Name. 
 
 He. 
 
 Van. 
 
 Zayin. 
 
 Cheth. 
 
 Symbol. 
 
 Window opening, 
 womb (Kabbala), 
 also part of the 
 fence of the letter 
 n (Fuerst). 
 
 Nail, hook, (crook, 
 Egyptian?). 
 
 Weapon, (Scepter, 
 Egyptian ?). 
 
 Fence, ^Hi Venus 
 (Seyffarth). Affin- 
 ity with n? as the 
 womb. 
 
 JVote, that the letters |7 and |7 are from the same source, and 
 are taken as the divided halves of one oblong (of two squares), 
 with a little opening in one end as seen in H- The letter H is 5, 
 or a cube of five, while H is 8, showing the number of cubes 
 taken to make a larger one. (So 8 thus used, is the same as 5 
 duplicated, for 5''=i25, and 125X8=1000, and a larger cube 
 made from the smaller of five, will make 5+5, or 10 to the 
 side.) 
 
 9- D t. 
 
 10. 
 
 y 
 
 , 2, or 
 
 J' 
 
 Teth. Snake, basket, figur- 
 ed in Eleusinian 
 mysteries in wor- 
 ship by women 
 (Sharpe's Egypt). 
 Perhaps the scro- 
 tum, (Inman). Love 
 apples (plural of 
 word for David^ 
 meaning also bas- 
 ket?) 
 
 Yodh. Hand, bent forefin- 
 ger, mcmbrum vi- 
 rile with testes 
 (Kabbala). The 
 perfect number, or 
 one (Kabbala).
 
 The Hebrew Alphabet. ii 
 
 No. Form and power Name. Symbol. 
 
 20. D "1 c, c//, /f', kh. Caph. The hollow of the 
 
 bent hand ; with 
 ^ = ^^ = cube^ 
 measure of hollow 
 sphere (Kabbala). 
 
 30. 7 /. Lil'medh. Ox-goad; sign of a 
 
 form of the god 
 Mars. 
 
 40. D D ^' Mem. Water. 
 
 50. ^ \ n. Nun. Fish, symbol of To- 
 
 ni, O, woman, or 
 ■womb (Kabbala). 
 
 60. ^ s. Sa'mech. A prop, a pillar ; tes- 
 
 tis ( S h a r p e ) , 
 hence, egg. Di- 
 visions of the cir- 
 cle, perhaps indi- 
 cating a square. 
 Divisions of Para- 
 dise (Kabbala). 
 
 70. ^ no power. Ayin. Eye. 
 
 80. £3 v1 p,ph. Pe. Mouth. 
 
 90. ^^' Y ts, tz. Tsa'-dhe. Fish-hook, hunter's 
 
 dart. 
 100. p i. Koph. Back of head from 
 
 the ears ; hence, 
 significant of bal- 
 ances. Ancient pil- 
 low to rest the back 
 of head on. Scull.? 
 Eye of needle. 
 200. "n r. Resh. Head, sphere, circle. 
 
 300. ^ sA, s. Shin, Sin. Tooth. 
 
 400. fi t,tJk.^ Tau. Cross, +. Founda- 
 
 tion framework of 
 construction.
 
 12 Parker's Quadrature of the Circle. § i, 
 
 CHAPTER I. 
 
 SECTION I. 
 
 QJJADRATURE OF THE CIRCLE. 
 
 By JOHN A. PARKER. 
 
 (§ I.) Kabbala was a species of symbolic writing among 
 the initiated, setting forth the secret teachings of the Bible ; 
 and the key of Kabbala is thought to be the geometrical 
 relation of the area of the circle inscribed in the square, or 
 of the cube to the sphere, giving rise to the relation of di- 
 ameter to circumference of a circle, with the numerical 
 value of this relation expressed in integrals. The relation 
 of diameter to circumference being a supreme one con- 
 nected with the god-names Elohim and Jehovah (which 
 terms are expressions numerically of these relations, re- 
 spectively — the first being of circumference, the latter of 
 diameter), embraces all other subordinations under it. Two 
 expressions of circumference to diameter in integrals are 
 used in the Bible : (i.) The perfect ; and, (2.) The imper- 
 fect. One of the relations between these is such that (2) sub- 
 tracted from (r) will leave a unit of a diameter value in 
 terms, or in the denomination, of the circumference value 
 of the perfect circle, or a unit straight line having a perfect 
 circular value, or a factor of circular value (§ 82). 
 
 Of course, as to the fact of these expressions residing in 
 the Bible, it remains to be seen whether this is, or is not, 
 so. It will be sufficiently strange if it is so ; but if it shall 
 so appear, beyond contradiction, it will afford much food 
 for thought, as to whether so sublime a work as the Holy 
 Record can be a refuge for that so much oppressed and
 
 § 2. Parker's Quadrature of the Circle. 13 
 
 bedeviled idea of " squaring the circle^'' unless the actual- 
 ity of such relation exists, or unless an approximate of a 
 certain nature and value was found to be of some natural 
 use. 
 
 (§ 2.) It is very remarkable : One of the values thus 
 used in the Bible was rediscovered in about A. d. 1585, by 
 Peter Metius, as 113 for diameter to 355 for circumference, 
 which, in the Sacred Record, is the imperfect value ; the 
 other was rediscovered by the late John A. Parker, of the 
 city of New York, as 6561 for diameter to 20612 for cir- 
 cumference, which, in the Sacred Record, is the perfect 
 value. What the means of discovery by Metius were, is 
 not known. The '■'■ ^ladrature'" of Mr. Parker is in 
 print, and therein the steps are fully set forth. As to these, 
 as they contain the geometrical key for the proper under- 
 standing of Kabbala, it is necessary to set them forth some- 
 what at large, premising that his value is obtained through 
 the value of areas of shades. His leading propositions 
 (each proposition in the text being followed by its demon- 
 stration) are as follows : 
 
 '■'■Proposition I. 
 
 " One of the relative properties between straight lines 
 and a perfect curve or circle is such, that all regular shapes 
 formed of straight lines and equal sides, have their areas 
 equal to half the circumference multiplied by the least ra- 
 dius which the shape contains (which is always the radius 
 of an inscribed circle), than which every other radius con- 
 tained in the shape is greater, and the circle has its area 
 equal to half the circumference multiplied by the radius, to 
 which every other radius contained in the circle is equal. 
 
 ^'•Proposition II. 
 
 "The circumference of any circle being given, if that 
 circumference be brought into the form of a square, the 
 area of that square is equal to the area of another circle, 
 the circumscribed square of which is equal in area to the 
 area of the circle whose circumference is first given.
 
 14 Parkers Quadrature of the Circle. § 2. 
 
 *■'• Proposition III. 
 
 " The circle is the natural basis or beginning of all area, 
 and the square being made so in mathematical science, is 
 artificial and arbitrary. 
 
 '"'•Proposition IV. 
 
 " The circumference of any circle being given, if that 
 circumference be brought into any other shape formed of 
 straight lines and of equal sides and angles, the area of 
 that shape is equal to the area of another circle, which cir- 
 cle being circumscribed by another and similar shape, the 
 area of such shape circumscribing the last-named circle is 
 equal to the area of the circle whose circumference is given. 
 
 *'■ Proposition V. 
 
 *' The circumference of a circle by the measure of which 
 the circle and the square are made equal, and by which 
 the properties of straight lines and curved lines are made 
 equal, is a line outside of the circle wholly circumscribing 
 it, and thoroughly inclosing the whole area of the circle, 
 and hence, whether it shall have breadth or not, forms no 
 part of the circle. 
 
 '■'■Proposition VI. 
 
 " The circumference of a circle, such that its half being 
 multiplied by radius, to which all other radii are equal, shall 
 express the whole area of the circle, by the properties of 
 straight lines, is greater in value in the sixth decimal place 
 of figures than the same circumference in any polygon ot 
 6144 sides, and greater also than the approximation of 
 geometers at the same decimal place in any line of fig- 
 ures." 
 
 Under this proposition after his demonstration, he states : 
 "And it is evident that if a circle, and a polygon of 6144 
 sides (the number to which Playfair carries his bisection) , 
 shall have the same circumference, the area of the circle 
 is greater than the area of the polygon in the sixth decimal 
 place ; and because the circumference of one diameter must
 
 § 2. Parker's Q^jadrature of the Circle. 15 
 
 be four times the area of the circle, therefore, by the tran- 
 sition of shape to a circle, the true value of circumference 
 is greater in the sixth decimal place than any approxima- 
 tion which can be obtained from a polygon of 6144 sides, 
 whether inscribed or circumscribed." 
 
 '"'■ Proposition VII. 
 
 " Because the circle is the primary shape in nature, and 
 hence the basis of area ; and because the circle is meas- 
 ured by, and is equal to the square only in ratio of half its 
 circumference by the radius, therefore, circumference and 
 radius, and not the square of diameter, are the only na- 
 tural and legitimate elements of area, by which all regular 
 shapes are made equal to the square, and equal to the cir- 
 cle. 
 
 ^'Proposition VIII 
 
 *' The equilateral triangle is the primary of all shapes 
 in nature formed of straight lines, and of equal sides and 
 angles, and it has the least radius, the least area, and the 
 greatest circumference of any possible shape of equal 
 sides and angles. 
 
 '•'•Proposition IX. 
 
 " The circle and the equilateral triangle are opposite to 
 one another in all the elements of their construction, and 
 hence the fractional diameter of one circle, which is equal 
 to the diameter of one square, is in the opposite duplicate 
 ratio to the diameter of an equilateral triangle whose area 
 is one. 
 
 " By diameter of the triangle, the perpendicular is here 
 meant, as explained in the introduction to Chapter I., or 
 a line passing through the center of the triangle, and per- 
 pendicular to either side. 
 
 " Let it be supposed that the areas of the equilateral tri- 
 angle A and the square C each equals one. 
 
 " It has been shown (Proposition VIII), that the triangle 
 has the least number of sides of any possible shape in nature 
 formed of straight lines ; and the circle is the ultimatum 
 of nature in extension of the number of sides. In this par-
 
 1 6 Parker's Qijadrature of the Circle. § 2. 
 
 ticular, therefore, they are opposite to one another in the ele- 
 ments of their construction. By Proposition VII it is 
 shown that circumference and radius are the only natural 
 and legitimate elements of area by which different shapes 
 may be measured alike, and are made equal to one another. 
 By Proposition VIII, it is shown that the triangle has the 
 least radius of any shape formed of straight lines of equal 
 sides and of the same circumference, and by Propositions 
 II and IV, Chapter I, it is seen that the circle has the 
 greatest radius of any possible shape of the same circum- 
 ference. By the same propositions, the triangle is shown 
 to have \}i\Q greatest circumference and the least area of any 
 shape formed of straight lines and equal sides, and the 
 circle is shown to have the least circumference and the 
 greatest area of any shape. By a well-known law of 
 numbers and geometry by which the greatest product 
 which any number or any line can give, is, to multiply half 
 by half, it will be seen that if we take the aggregate of 
 circumference and radius in each shape, it is most equally 
 divided in the circle, and the most U7ieqiially divided in the 
 triangle of any possible shape. In every case, that which 
 is ^r(?«/c5/ in the triangle is least in the circle, and that 
 which is least in the triangle is greatest in the circle ; and 
 in every particular the two shapes are at the extreme and 
 opposite boundaries of nature^ being the greatest and the 
 /t'a5/that is possible. They are, therefore, opposite to one 
 another in all the elements of their construction. There-
 
 § 2. Parker's Quadrature of the Circle. 
 
 17 
 
 fore, the square being made the artificial basis of area 
 (Proposition VIJ), if the diameter of the circle B (Plate 
 XVI) shall equal the diameter of the square C, tlien, in 
 the fractional relations of B to C such diameter shall be in 
 the opposite duplicate ratio to the diameter of A corre- 
 spondingly situated. The diameter of A correspondingly 
 situated with the diameter of B to C, it will be seen, is a 
 line drawn across the center of A perpendicular to either 
 side; therefore, the diameter of B, in its fractional relation 
 to C, is the opposite duplicate ratio to the -perpendicular 
 or diameter of A, and no otiier result is possible in the na- 
 ture of things. (See Proposition VII, Appendix, and re- 
 marks following.) The proposition is therefore demon- 
 strated. 
 
 '■''Proposition X. 
 
 " The fractional diameter of one circle which is equal to 
 the diameter of one square, being in the opposite ratio to 
 the diameter of the equilateral triangle whose area is one, 
 equals 81. 
 
 "Let the area of the equilateral triangle A (Plate 
 XVII) —I, and let the area of the square B also equal one, 
 then the diameter of the circle C, which is equal to the 
 diameter of the square B, also equals one. And it has 
 been demonstrated that in their fractional relations to the 
 square, the diameters of A and C are in opposite ratio to 
 one another. (By the diameter in the triangle it is known 
 that the perpendicular is here meant, as in Proposition IX.)
 
 
 1 8 Parker's Quadrature of the Circle. § 2. 
 
 Now, if the area of the equilateral triangle A shall equal 
 one, then the diameter of A is found to be equal to the 
 square root of three twice extracted, or J J3. Hence the 
 fractional diameter of C, being in the opposite duplicate 
 ratio (which is the squares of diameter), shall equal 3 
 twice squared, or 3'X3^ and 3X3=9, and 9X9=81. The 
 proposition is therefore demonstrated." 
 
 The opposite duplicate ratio of Mr. Parker has relation 
 to the numerical values. The shapes being opposite to 
 each other, he desires to get an integral number to co- 
 ordinate with the shapes. When the area of A=i, then 
 the diameter is found to be 1.316074-I-. But this will not 
 do, for, if possible, it must assume the form of a least in- 
 tegral number. Square this value, and it equals i .7320508+- 
 This will not do. Square it again, however, and it equals 
 3, which is just that to be desired. Having, however, ob- 
 tained this, the value in the opposite ratio must suffer the 
 same process, and 3"=9, and 9"=8i. 
 
 '"'•Proposition XI. 
 
 "The fractional area of one square, which is equal to 
 the area of one circle, equals 6561 ; and the area of the 
 circle inscribed in one square equals 5153-" 
 
 " It has been proved (Proposition X) that the fractional 
 diameter of the circle C, which is equal to the diameter of 
 one square (B), whose area is one, being in the opposite 
 ratio Xo a b (Fig. A), equals 81 ; hence the area of B= 
 81X81=6561 ; therefore, B equals one of 6561 equal frac- 
 tional parts. Now, let B equal H in area. It has been 
 proved (Proposition II) that H equals E in area ; and if 
 H=i, then E=i ; and if H=656i, then E=656i. It lias 
 also been proved (Proposition II) that if the circumference 
 of F equals the circumference of E, then F and G are also 
 equal in area. And because one circle, which is equal to 
 one square (the area of the square being one), is in 6561 
 equal fractional parts, therefore, any circle which is equal 
 to any square (the diameter of the circle being a whole 
 number) shall be in some definite and certain number of
 
 § 2. Parker's Quadrature of the Circle. 
 
 6561 parts. Hence, the areas of the circles C and G 
 (their diameters being each 81) are some definite and cer- 
 
 tain number of 6561 parts of B and H. It is proved by 
 the approximations of geometr}^ obtained by the proper- 
 ties of straight lines, that C and G are each greater (much 
 5152 
 
 greater) than 
 
 6561 
 
 parts of B and H, and less (rriuch less) 
 
 than 
 
 5154 
 
 ; therefore {Rcdiictio ad absurdtim), they shall 
 
 6561 
 
 5153 • 
 
 be each 2~r t because they can be nothing else, there being 
 
 no other 6561 part between 5152 and 5154. 
 
 " The proposition is therefore demonstrated ; and the frac- 
 tional area of one square, which is equal to one circle (the 
 area of each being one), is 6561, and the fractional area of 
 one circle inscribed in such square is 5i53*" 
 
 The expression, " It is proved by the approximations of 
 geometry, obtained by the properties of straight lines," 
 contains a very subtle allusion and meaning. Mr. Parker 
 approves the approximate value, as obtained by Playfair, 
 after the method of its obtainment, viz., by the properties 
 of straight lines, where such lines are defined as being
 
 20 Parker's Quadrature of the Circle. § 2. 
 
 without breadth or thickness. Assuming the property of 
 breadth to a line or unit of measure, or obtaining the value 
 of it by means oi area computation^ works a change on the 
 Playfair result necessarily. Now, if Mr. Parker is cor- 
 rect in his taken relation between triangle and circle to 
 obtain a least integral unit of measure — i. e., the number 
 3 — then, without at all conflicting with the Playfair results, 
 his own are right, if Playfair's are so. (See Reflections 
 on the Quadrature, § 7.) 
 
 '"'• Proposition. XII. 
 
 " The true ratio of circumference to diameter of all cir- 
 cles is four times the area of one circle inscribed in one 
 square for the ratio of circumference, to the area of the 
 circumscribed square for the ratio of diameter. And 
 hence the true and primary ratio of circumference to di- 
 ameter of all circles is 20612 parts of circumference to 
 6561 parts of diameter." 
 
 " It will be known that if the diameter of the circle G in- 
 scribed in H=i, then the area of H also=i. It will be 
 known, also, that the area of G equals half of the circum- 
 ference multiplied by half the diameter, and ixj=i; 
 
 hence, the diameter of G being one, 
 then the area of G equals \ its cir- 
 cumference, and, vice versa, the cir- 
 cumference of G equals four times its 
 area. And the diameter of G being 
 one, it therefore equals the area of H, 
 because the area of H=i. There- 
 fore, the first part of the proposition 
 is demonstrated, and four times the area of any inscribed 
 circle for a ratio of circumference, to the area of the cir- 
 cumscribed square for a ratio of diameter, is seen to be a 
 true ratio of circumference to diameter of all circles. 
 
 " It has been proved (Proposition XI) that by the primary 
 relations existing between straight lines and curved lines, 
 as developed by the opposite ratio of the equilateral trian- 
 gle and the circle, the fractional area of 11=6561, and the
 
 § 3* Quadrature by Peter Metius. 21 
 
 area of 6=5153 ; therefore, the true and primary ratio of 
 circumference to diameter of all circles=4 G, for the ratio 
 of circumference to the area of H for tiie ratio of diameter ; 
 and since 0^:5153, and H— 6561, therefore the true and 
 ■primary ratio of circumference to diameter of all circles 
 ^=5153X4=20612 parts of circumference to 6561 parts of 
 diameter." 
 
 " The proposition is therefore demonstrated, and the 
 quadrature of the circle is demonstrated." Mr. Parker 
 should have added, to be explicit, and exceptional to the 
 Playfair method, " by way of area computation." 
 
 QUADRATURE BY PETER METIUS. 
 
 (§3.) Some years ago, while examining into the rea- 
 ^ soning of Mr. Parker, the author found notice of the ratio 
 of Mciius. He wrote Mr. Parker, asking him if he was 
 acquainted with the grounds on which Metius obtained it. 
 He replied that he was not ; but, upon testing the ratio 
 sent by his own, he found some very curious numerical re- 
 lations of difference. Subsequently, in a proposed second 
 edition of his work (published after his death), he notices 
 this ratio and these relations as follows : 
 
 " The ratio of Metius, known for more than a century 
 past (113 to 355), is the nearest approximation to the truth 
 ever made in whole numbers ; but it does not answer the 
 imperative law contained in our twelfth proposition, and 
 therefore it can not be true. The circumference can not 
 be divided by four, without a fraction or remainder. By 
 whatever means Metius may have obtained his ratio, its 
 examination shows it to be of the same composition as 
 mine, but improperly divided. For example, if 113 shall 
 be the diameter of a circle, then circumference (355) is 
 
 — -? — part too little. But if 355 shall be the circum- 
 ference of a circle, then diameter (113) is . . too big. It
 
 22 Parker's Quadrature of the Circle. § 4. 
 
 thus affords a very perfect evidence that my ratio 20612 to 
 6561 is the true one, as we have fully proved it to be." 
 
 The conchision thus drawn does not seem to be so mani- 
 fest as stated. The relation between the two ratios is, 
 however, very, yes, exceedingly remarkable, as the state- 
 ment will show : 
 
 2061 1 
 20612 : 355 :: 6561 : 112 
 
 6561 : 113 :: 20612 ; 355 
 
 20612 
 
 I 
 
 6561 
 
 (Mr. Parker has confused the results.) The relation 
 seems to be one which has, at some time, been found as a 
 variant on the Parker forms, because of showing the same 
 composition, as he says. The reverse of the case will not 
 hold ; for, if the Parker forms be tested by those of Melius, 
 no similar relation will be found to exist ; therefore, it would 
 seem that those of Melius were derived from those of Mr. 
 Parker. 
 
 SECTION II. 
 
 REFLECTIONS ON THE QUADRATURE BY MR. PARKER. 
 
 (§4.) It is averred that the quadrature by Mr. Parker 
 is of great value. It is not, however, because of the in- 
 trinsic value of his work that it is so largely set forth ; nor 
 is it from any immediate motive to advocate or sustain it. 
 It is (i) because his can be shown to be that identical meas- 
 ure which was used anciently, as the perfect measure, by 
 the Egyptians, in the construction of the great pyramid, 
 which was built to monument it and its uses; (2) because, 
 from it, the sacred cubit value was dej'ived, which was the 
 cubit value used in. construction of the Temple of Solomon, 
 the Ark of Noah, and the Ark of the Covenant — the value 
 of all which consisted in the value of the measures used ; 
 (3) because it affords that kabbalistic value, which, before 
 all others, conveys in the Bible the idea of God, the mean-
 
 § 5- Reflections on the Same. 23 
 
 inrr of the term, and the value of His works in the Cosmos ; 
 (4) because the geometrical symbols out of which it is seen 
 to spring, with their primary numbers, are seen to have a 
 kind of elemental relation to each other ^ and were made 
 use of in the mysteries to convey the esoteric teachings; 
 and, finally, (5) because it appears bound up in, and as 
 making a fundamental part of, the British system of long 
 and land and time measures. If these statements are true, 
 there will admittedly be no use to assert that it is well 
 worthy of being set forth. All who appreciate the intense 
 labor of research for light upon these matters will attach 
 a value to this work of Mr. Parker far beyond that of the 
 standard method, even though it should be defective, be- 
 cause its value will consist in its being a literary key, such 
 as has never yet, it is thought, rewarded the generations 
 upon generations of searchers in the Bible, in mythology, 
 and in the antiquarian fields. In this view, the question 
 simply of its mathematical value is one of the least possi- 
 ble importance as a -primary one; although once recognized 
 to have been used as stated, there is no doubt but that it 
 would cause the foundations of the standard methods to be 
 reviewed with an intensity of thought, which might, per- 
 haps, in the end, establish Mr. Parker's method as the one 
 giving a more useful result — i. e., perhaps, such an inte- 
 gral one, in area computation, as could be followed or 
 copied after in material construction ; albeit, it might, 
 just as the Playfair method, be, after all, but an approxi- 
 mation. With this apology, it may be well to suggest some 
 thoughts in relation to this quadrature value, which, to 
 some extent, are worthy of attention, and, to some extent, 
 are- curious. 
 
 MR. Parker's quadrature values obtained by area com- 
 putations. 
 
 (§ 5.) It seems to be of importance, and it will be ob- 
 served, that, from beginning to end, Mr. Parker seeks 
 the quadrature through area measure, in terms of area, 
 and finally obtains his numerical value of rectification by
 
 24 Parker's Quadrature of the Circle. § 6. 
 
 an area computation. His numerical values are all area 
 values to correspond with his geometrical figures ; and 
 even so in this final value, for it is in area terms where it 
 exhibits a necessary value of linear measure of circumfer- 
 ence. This being the case, it is evident that his computa- 
 tions are susceptible of material realizations, as in object- 
 building or copying. If his process is correct, then, under 
 his Proposition XI, he has raised a test by which to work 
 a change on the standard method to make it conform to 
 area conditions and requirements. The fact that independ- 
 entl}' he has reproduced exactly the same forrrjulse which 
 the ancients had, which formulae had with them application 
 to the same common end, viz., relation of diameter to cir- 
 cumference, goes far to prove that his steps of ascertain- 
 ment must have been the same as with them, though they 
 may have had other and more satisfactory methods of illus- 
 trating and enforcing the result. His process seems to de- 
 pend for its correctness upon the Tightness of his ground of 
 the opposite qualities of the triangle and circle. If this is 
 rightlv taken, his numerical integral relation founded on 
 the number 3 must be right. His final step for obtaining 
 the area 5153 of the inscribed circle depends upon the 
 question whether the JLcgendi'e, or Playfair approximate, 
 is right as a transcendental one. 
 
 CURIOUS FEATURES OBSERVABLE IN THE DETAILS OF THE 
 
 PLAYFAIR METHOD. 
 
 (§ 6.) It must be known that the results as to the value 
 of >T, by Legendre and Playfair, were not of universal ac- 
 ceptation. They were, for instance, criticised as being 
 incorrect, by Torelli, in the preface of an edition of the 
 works of Archimedes, printed at Oxford. Reference is made 
 to this preface, and also to Playfair's comments on the 
 same, as they are to be found in the supplement to Play- 
 fair's Euclid. Torelli held, according to Playfair; 
 
 " That it is impossible, from the relation which the rectilineal 
 figures inscribed in, and circumscribed about, a given curve have 
 to one another, to conclude anything concerning the pioperties
 
 §6. 
 
 Reflections on the Same. 
 
 25 
 
 of the curvilineal space itself, except in certain circumstances, 
 which he lias not precisely described." 
 
 The following practical truths seem to the author to be 
 exceedingly remarkable as looking, in this specialized way, 
 toward the support of Torelli's assertion, though no asser- 
 tion must be considered as made that it affects the truth of 
 the general results of the Legendre method. 
 
 The burden of the effort of Legendre is to show that by 
 the growing diminution and equality between the circum- 
 scribed C'B' and the inscribed C B, the curved line penned 
 up between them becomes measurable ; which curved line, 
 at any stage of bisection, being an even and known part of 
 the whole circle, from it the length of the entire circumfer- 
 ence, and consequently the area of the curved space, is to 
 be had. The measure of this 
 growing equality is always to be 
 tested by the difference of value, 
 at any stage of bisection , between 
 CBand C'B'. In the diagram, 
 which may stand for any stage 
 of bisection, C B' is the chord of 
 half the arc, and therefore E E' 
 is B B' for every succeeding bi- 
 section. Now, from B', as a 
 center, with C B' as a radius, de- 
 scribe the arc C D. Then CD 
 will be the quantity which, van- 
 ishing by diminution, the triangle 
 CB'C will eventually become 
 CB'D, and isosceles; when the curve lying between C B' 
 and DB' must, by hypothesis, become equal to CB', or to 
 DB', as a straight line. Now, as a itact, taking the value 
 CD (the difference between C B and CB') and E E', for a 
 number of bisections, and it will seem to show that, with 
 relation to the diminution of CD, E E' is increasing, and 
 by an increasing ratio. It becomes a question, on the 
 showing, whether the arc is not, relatively, separating from,
 
 26 Parker's Quadrature of the Circle. 
 
 §6. 
 
 instead of approaching, the chord. If so, the question is, 
 what is the effect of this ? What does it mean ? If E E' is 
 thus increasing, what is the value of the arc becoming? 
 Is there some incompatibility between the geometrical 
 conditions, as presented to the eye, and the numerical cal- 
 culations of these forms? The rigid result of such a condi- 
 tion would seem to be that, the ratio increasing, the step 
 would come where, as Mr. Parker avers, C B' curve would 
 necessarily pass in value beyond that of C'B' diminished — 
 an absurd conclusion, unless some unnoticed incompatibil- 
 ity has existed between the condition of the curve and the 
 calculations of the sides of the polygons. It is possible 
 that this may be the case, since, in fact, the relations be- 
 tween them are not known, but only inferred. Practically, 
 a calculation of the value of iz to 6144 sides of the poly- 
 gons, taken from the base that the perimeter of the polygon 
 of six sides is one with twenty-five ciphers, making the 
 radius one with 6 repeated twenty-four times, yields the 
 followincr data as to the relation or ratio between CD and 
 E E', as they respectively diminish with continuing bi- 
 sections of the arc : 
 
 6 
 
 sides. 
 
 CD 
 
 12 
 
 
 (( 
 
 24 
 
 
 (C 
 
 48 
 
 
 (« 
 
 96 
 
 
 <( 
 
 192 
 
 
 (( 
 
 384 
 
 
 (( 
 
 768 
 
 
 (C 
 
 1536 
 
 
 (( 
 
 EE' 
 
 <( 
 
 
 0.5706 
 
 
 1.2404 
 
 
 2.5301 
 
 
 5.0847 
 
 
 IO.I8I8 
 
 
 20.3697 
 
 
 40.7426 
 
 
 : 81.4882 
 
 
 : 162.9917 
 
 which shows a rapid ratio of diminution of CD with rela- 
 tion to that of E E' : and the practical diminution of CD 
 may be judged of from a statement of its value at 6 sides 
 and 6144 sides, as follows : 
 
 6 sides, CB' = 962250448649 
 
 " C B' = 862730150341 
 
 CD, or difference = 9952029S308
 
 § 8. Reflections on the Same. 27 
 
 6144 sides, C'B' = 00085 221 1623 
 
 CB' = 00085221 1539 
 
 CD, or difference = 84 
 
 which simply seems to show that the triangle C B'C is ap- 
 proaching to being isosceles unattended by a relatively 
 rapid approximation of the chord C B' to the curve C B'. 
 But the relation of this approximation can be had by a 
 statement of the continuing ratios between B B' and E E', 
 and these are as follows ; 
 
 E E' for 6 sides : B B' : 
 
 12 
 
 <( 
 
 " 24 " 
 
 *' 48 " *.* 
 
 ti 
 
 
 • 3.93I85I6 
 
 : 3.9828897 
 3.9989291 
 
 
 3-9997322 
 
 
 3-9999330 
 3-9999832 
 3-9999958 
 3.9999989 
 
 
 3.9999997 
 
 " 96 " 
 
 *' 192 " 
 
 384 
 
 " 768 <' 
 
 1536 
 
 Does not this simply show that while the ratio of E E' to 
 B B' can never become i : 4, the ratio of CD to E E' can 
 become i : 00 large ? which mathematically expressed 
 means that the triangle CB'C may become isosceles, while 
 yet, absurdly enough, the chord and arc have not as yet 
 assimilated? Not only so, but have separated by a, rela- 
 tively, infinite quantity. 
 
 MATHEMATICS IS FAMILIAR WITH DEFINITIONS WHICH ARE 
 
 UNTRUE. 
 
 (§ 8.) It is unfortunate for mathematics that, in attempt- 
 ing to set forth methods of comparative measures of right 
 and curved lines, it has been found necessary to assume 
 truths as the very groundwork of such measures, which, 
 in fact, and in the nature of things, are not so. As 
 to the Calculus, for instance, its results are taken as exact, 
 when the differentials, which are real quantities belonging 
 to those results, are eliminated; because, as it is said, on
 
 28 
 
 Parker's Quadrature of the Circle. § 8. 
 
 account of their smallness, they can afford to be dropped. 
 The very inception of Newton's "TVmcz^m," for another 
 instance, is founded upon a geometrically false statement, 
 as regards exactitude of definition — palpably so. His 
 " Lemma I " states : '•'■^lantities and the ratio of quanti- 
 ties, which in any finite time converge continually to 
 
 equality, and, before that time, ap- 
 
 c , — ^ =». — B -proach nearer the one to the other, 
 
 than by any given difference, ulti- 
 mately become equal."' Let AB C be 
 any triangle, and with the length 
 AB as a. radius, let the arc B D be 
 drawn to intercept the line A C. 
 Suppose this figure, both for trian- 
 gle and segment of circle, be con- 
 tinually and proportionately re- 
 duced, asAB'C, AB'D'; \he rela- 
 tive differences will never be 
 changed, and, consequently, the ra- 
 tios of difference will always remain 
 the same. The proposition is axiomatic, and does not 
 require demonstration. But take the triangle ABC, 
 with the circular area ABD, as decreasing toward AB, 
 by different and successive steps, one of which is, say, 
 ABE, with the circular area A B F. By this method, no 
 geometrical ratio can be preserved. The ratio of diminu- 
 tion has to be calculated by numerical combinations. But 
 there being 3. ratio of diminution, in which the difference 
 between the straight line and the curve is, say, a decreas- 
 ing one, it is, nevertheless, plainly to be seen that the only 
 equality of the curved line B D with the straight line B C, 
 in any possible diminution, will be when the line A C shall 
 so close upon AB as to wholly coincide with it (as to the 
 value of their lengths now or at last becoming alike), and 
 become, with AB, one and the same line, at which stage 
 or condition there can be neither curved line nor straight 
 line left for comparison : therefore, so long as those lines, 
 i. e., CB straight, and BD curve, exist at all, either in
 
 § 9- Reflections on the Same. 29 
 
 whole or in part, there can, by possibility, be no equality 
 between them. Hence, the lemma is false in its terminol- 
 ogy ; nor is it even right in a showing of a growing or 
 proximate equality, as regards the uliimate structure o( \he 
 lines, as was shown above. 
 
 There is a certain ridiculousness in the matter, in this, 
 that while the schools assert the impossibility of there being 
 an integral relation between circle and square, because of 
 the essential difference between a curved and right line 
 (which is true to all intents), the possibility of this integral 
 relation is here, by inference, falsely set forth and maintained. 
 It is because a line has breadth that a curved and straight 
 line are not comparable. Straight and curved lines con- 
 ceived of as without breadth may be taken as comparable, 
 because of the possibility of their reduction to points. 
 
 NATURE SEEMS TO AFFORD CONFIRMATORY EVIDENCE THAT 
 
 MR. PARKER IS RIGHT. 
 
 (§ 9.) Mr. Parker is of opinion that there is in numbers 
 
 some, so to speak, flux of notation of quantity, by which 
 
 geometrical shapes can be integrally noted as changing the 
 
 one into the other. Thus, if he is right, there is a unit 
 
 1 
 square, which is of the denomination of 7^-— of a square 
 
 area, while it is also at the same time of a denomination of a 
 
 I 
 
 — — - of a circular area. Evidently, then, whatever rectan- 
 
 5153 
 
 gular figure isj-epresented in terms of this unit square, its 
 
 equivalent circular area value in integrals can be given in 
 
 4 4 
 the same terms; as, -^^ of a square = of a circular 
 
 6561 ^ 5153 
 
 area. It may be that nature assumes, in some of her prac- 
 tical constructions on the principles of plane and spherical 
 geometry, a least cubic one ; and it may be that it is in 
 terms of this least one that she performs her works, ap- 
 ^roximating the form of a sphere by its use. It may be 
 that Mr. Parker's method is right as a natural mechanical 
 one, while that by Playfair may be right as a transcendental 
 one. It is certain that nature does lend some data as
 
 30 Parker's Quadrature of the Circle. § 9. 
 
 touching some of her methods of construction. The con- 
 dition of substance to form what is called water, is one 
 resting upon the quality of heat as affecting atomic particles 
 of matter. Heat being but a modification of motion of 
 ■particles, a spheroid or drop of water is such because of 
 its particles being in some peculiarity of motion on them- 
 selves, through perhaps the intervention of some subtler 
 substance in which the atoms may act. Thus the globule, 
 or spheroid, of water is formed. The effect of cessation 
 of this motion is indicated by a cessation of spheroidal 
 shape. Motion giving place to rest, the change is charac- 
 terized by change of shape; and this change seems uni- 
 formly to be that, as to shape of particles, of the equilateral 
 triangle as part of a hexagon. On this form, other shapes 
 take place. In one form, at and growing out of the cor- 
 ners of the hexagon, are little squares or cubes. (See de- 
 scription by Professor Tyndall of these forms, as becoming 
 manifested in the breaking down of ice particles in the in- 
 terior of a mass, when heat rays are passed through it.) 
 In this shape the substance has become ice. If, chemically, 
 the components of water are in integral atoms, and if, in 
 its structural form, in passing from shape to shape, it passes 
 from one integral form to another, as to shape, this would 
 serve as a strong hint that nature recognizes the alliance 
 and interchanges of shapes in subdivisions of wholes not 
 fractions. It is noteworthy that the primary material one 
 here indicated in ice seems to be triangular or pyramidal, 
 then cubic ; and this in a measure serves to strengthen Mr. 
 Parker's assertions, for it is on the triangle as the natural 
 originator of plane shapes that he raises a least integral in 
 the number 3, by which to express the value of the circle 
 in terms of the square and cube; and, again, he accom- 
 plishes this by an integral relation, so close to the Play fair 
 transcendental one, that the difference only becomes mani- 
 fested at the sixth decimal place, in a circumference taken 
 to a diameter of unity.
 
 § II. His Problem of Three Revolving Bodies. 31 
 
 SECTION III. 
 
 PROBLEM OF THREE REVOLVING BODIES. 
 
 (§ 10.) It is thus seen that the process of Mr. Parker is 
 founded geometrically upon the elements of the circle and 
 of the equilateral triangle, being, as related to each other, 
 the extreme opposites in nature, of which the circle is tlie 
 primary of all shapes, and hence the basis of all area, and 
 the triangle is the primary in nature of all shapes formed 
 of straight lines, and of equal sides and angles. Of these, 
 the equilateral triangle is numerically measurable ; and it 
 being requisite to translate shapes by num.bers, as to the 
 conditions required of a least numerical integral value, 
 with which to determine the value of the circle, that inte- 
 gral least number is found to be 3. By means of this 
 shape and this integral he obtains the value of the circle, 
 that shape of greatest extension as compared with the tri- 
 angle, in terms of the square. Numerically, 1/ ]/ 3 is op- 
 posed by 3-X3-=8i= diameter of his square, or the length 
 of its side. 8i"= 656i=area of his square, in terms of his 
 least numerical integral. The area of the contained circle 
 =5^53 5 and, by the process set forth, changing area value 
 to represent rectification, diameter being 6561, circumfer- 
 ence =20612. The results, therefore, are : 
 
 (i) Area of square = 6561 "> 
 
 Area of contained circle = 5^53 ) 
 
 (2) Diameter of circle = 6561 
 
 Circumference of circle=5 153x4 
 
 0501 ^ 
 
 =20612 5 
 
 PROBLEM OF THREE REVOLVING BODIES, BY MR. PARKER. 
 
 (§ II.) Mr. Parker follows up the ascertainment of 
 these data with his problem of three revolving bodies, 
 founded upon the principles of the quadrature. This 
 problem is as follows :
 
 32 Parker's Qt^tadrature of the Circle. § ii. 
 
 '•'•Proposition I. 
 
 " The respective and relative motion of three gravitating 
 bodies revolving together and about each other is as four 
 to three, or one and one-third of one primary circumfer- 
 ence. 
 
 " I have always considered this proposition as self-evident 
 on the face of it, and tliat no mathematician would deny it 
 and hazard his reputation on sustaining the denial with 
 proof. But, as I shall perhaps be called on for proof, I add 
 here, at some length, the solution of the problem, after my 
 own method, as follows : 
 
 " The problem of three gravitating bodies revolving to- 
 gether and about each other is one which, like the quadra- 
 ture, has hitherto baffled all attempts of mathematicians to 
 solve. But since this, like others of the kind, is of itself 
 a problem, which is daily performed and consequently 
 solved by the mechanical operations of nature, the failure 
 of mathematicians to reach the solution proves nothing but 
 the imperfection of the reasoning applied to it. 
 
 " It is a principle, I think, clearly demonstrable, that what- 
 ever can be constructed by mechanics out of given magni- 
 tudes, can be exactly determined by numbers, and that 
 which can not be constructed by mechanics out of any 
 given magnitudes, can not be exactly determined by num- 
 bers, having the same relation as the magnitudes one to 
 another. It is for this reason, and for this reason only, 
 that we can not, out of the same magnitudes, construct a 
 square which is just twice as big as any other perfect 
 square ; neither can we find the perfect root of such a 
 square by decimal numbers. If this reasoning be true, 
 then, because the problem of three gravitating bodies is a 
 mechanical operation daily performed in nature, it is hence 
 a thing capable of being proved by numbers. The great 
 difficulty of this problem has arisen, I think, from the im- 
 possibility of its full displa}' by diagram, and the difficulty 
 of embracing, in any formula, all the conditions contained 
 in its elements. The plan of exacting a display by diagram 
 of all the geometrical propositions is safe, and perhaps it
 
 § II. His Problem of Three Revolving Bodies. 33 
 
 is llie onl}^ plan by which the yet untaught mind can be 
 iniliated into the truths of geometry ; but is it always nec- 
 essary in every original demonstration? Are there not 
 other means equally true and equally safe in the hands of 
 one accustomed to examination, and acquainted with the 
 properties of numbers and of shapes? I think there are; 
 and, without taking the least unwarrantable latitude, or de- 
 parting from the clearest perceptions of reason, I think 
 this problem may be easily and accurately solved. 
 
 " The thing required of every demonstration is, that it 
 shall give a sufficient reason for the truth which it asserts. 
 But, in order that a reason may be sufficient^ and the con- 
 clusion drawn from it safe, it is necessary, not only that 
 the relations of cause and effect shall be made clear to our 
 perceptions, but also that the conclusion, -when drawn, 
 shall abide the test of practical application. Any demon- 
 stration which does less than this can not be relied on, and 
 no demonstration ever made has ever done more than this. 
 
 " We know very well that things are possible or impos- 
 sible to be done, only in proportion as the means applied 
 are adequate or inadequate to the purpose. We know also, 
 that because different principles exist in the various forms 
 of matter, therefore it is impossible to demonstrate every- 
 thing by the same nieajis or same principles. It is a narrow- 
 minded prejudice, therefore, which exacts that every dem- 
 onstration shall be made by the prescribed rules of science, 
 as if science already embraced every principle which exists 
 in nature. Yet none are more frequently guilty of this 
 narrow-mindedness than mathematicians, who often require 
 that things shall be done by the means which the written 
 science affords, well knowing at the same time that such 
 means are inadequate. Such has always been the case in 
 respect to the quadrature of the circle. Mathematicians 
 have demanded that it should be demonstrated by the prop- 
 erties of straight lines, knowing at the same time that 
 straight lines are inadequate. Therefore {and therefore 
 only) the thing has been found impossible, and all other 
 demonstrations are rejected, because they can not be shown
 
 34 Parker's Quadrature of the Circle. § ii. 
 
 by straight lines. I do not consent to such unreasonable- 
 ness of decision ; but, in every proposition where the suffi- 
 cient reason is manifest, I hold the proposition to be demon- 
 strated until it can be disproved. 
 
 *' In entering upon the solution of the problem of three 
 gravitating bodies, we must first examine and see of what 
 elements the problem is composed. 
 
 " The elements which I shall consider in this case, will 
 not be such as a mathematician of the schools would think 
 it necessary to consider. They will be far more simple, 
 more conclusive (for such as the schools can furnish, have 
 yet decided nothing), and I think, more comprehensible, 
 yet equally true to nature (for I consult nature's laws only, 
 and not the method or opinions of any other man), and 
 equally accurate and precise with any which can be given 
 by any other method. 
 
 '■'■h.nA, first, each revolving body is impressed by nature 
 with certain laws making it susceptible of the operation of 
 force, which being applied, impels motion. These laws 
 may all be expressed under the general \.qx:v[\. forces, which, 
 though various in their nature, possess an equalizing 
 power, controlling each other in such a way that neither 
 can predominate beyond a certain limit ; and consequently, 
 these bodies can never approach nearer to each other than 
 a certain point, nor recede from each other beyond another 
 certain point. Hence these forces are, <iX some mean foint, 
 made perfectly equal, and therefore they may be consid- 
 ered as but one force, and hence but one clement in the 
 problem. 
 
 '■'•Secondly, these revolving bodies have magnitude, 
 shape, density, etc., which affect the operations offeree in 
 producing motion. These properties of revolving bodies 
 have all the same inherent power of equalization as forces. 
 For example, if density be greater in one than another, then 
 magnitude will be relatively less, force will be less (the di- 
 rect force), and the momentum from velocity greater, but 
 the whole shall be equal. On the other hand, if magni-
 
 § II. His Problem of Three Revolving Bodies. 35 
 
 tude be greater, and density less, then force will be greater, 
 and velocity less, but the whole shall be equal. 
 
 "The second element of this problem may therefore be 
 comprehended under the term inagnitude, which shall in- 
 clude shape, density, and every other quality or condition 
 which affects the operation of force in producing motion, 
 and the whole constitute but one element in the problem, 
 which I term magnitude , as referring to the bodies them- 
 selves rather than to any of their qualities, as density, grav- 
 ity, or otherwise. 
 
 " The third element in this problem is distance, by which 
 I would be understood to mean the chosen distatices from 
 one another, at which these bodies perform their revolu- 
 tions in space. It is well understood, that from the nature 
 of the case, these revolving bodies must take up their mean 
 distances from one another in exact proportion to their re- 
 spective magnitudes and forces, and in proportion as these 
 are greater or less, the distance from each other will be 
 greater or less. Hence it is seen that the same inherent 
 power of equalization exists in respect to distances as in 
 respect to the forces and magnitudes, and whether their 
 distances from each other be greater or less, equal or un- 
 equal, they still constitute but one element in the problem. 
 
 " Th.Qfourth and last eletnent in this problem is motion, 
 or velocity, by which distances are to be performed or over- 
 come by revolution. And here again, it will be seen, that 
 because the distances to be thus performed by revolution de_ 
 pend entirely on the chosen distances from one another, and 
 these again depend on magnitude and force, therefore the 
 same equalizing power exists in regard to motion or veloc- 
 ity, as exists in regard to all the other elements, and there- 
 fore this also constitutes but one element in the problem, 
 which I will term velocity, as including momentum, and 
 every other quality, condition, or effect of motion. 
 
 " These, _/b?^r in number, are all the elements necessary 
 for the mechanical performance of the problem, and con- 
 sequently all that are necessary for its determination by 
 numbers; and it has been seen that such is the nature of the
 
 ^6 Parker's Quadrature of the Circle. § ii. 
 
 problem itselt", and the power of these elements over one 
 another, that every other quality or condition affecting 
 either, is equalized b}^ and held in subservience to these, 
 and these again are equalized by, and held in subservience 
 to one another, and all controlled by magnitude, so that the 
 whole constitute but one -problcni or w/rc/^^w/ctz/ operation, 
 in whichybz^r elements are concerned. 
 
 " The difficulty of reducing impalpable things to a pal- 
 pable standard of measure is generally conceded ; but, in 
 this case, I think the difficulty does not exist, and that these 
 elements may all be as truly represented by numbers and 
 magnitudes as if they were palpable things in themselves, 
 having the qualities of length, breadth, and thickness. For 
 example, let a stone be a magnitude, having shape, bulk, 
 density, etc. Now, a force which can raise this stone 
 one foot from the ground, and hold it suspended there, is, 
 in its relation to the magnitude or stone, exactl}' equal to 
 one foot of measure; and because the stone is held sus- 
 pended, and does not descend again, nor rise higher, it is 
 evident that the force and magnitude have become equal at 
 that ^oint of elevation , and therefore, vice versa, the mag- 
 nitude or stone is, in its relation to the force, exactly equal 
 to one foot of measure, and consequently distance and mo- 
 tion are each also seen to be equal to one foot ; and. the 
 same principles of applicability to measure exist in three 
 bodies suspended in space, and made to revolve about each 
 other by forces inherent in themselves. It matters not that 
 other and disturbing forces exist outside or inside the space 
 in which these bodies revolve, because, if another and dis- 
 turbing force be considered, then it ceases to be a problem 
 oi three gravitating bodies ; and also, because such disturb- 
 ing forces, if they exist, operate proportionally on all three 
 of the revolving bodies, and in the course of a revolution, 
 and consequent change of relative position, these disturb- 
 ances must fnd their perfect equality. 
 
 *' Now, let us suppose that we have here three bodies, 
 revolving together in space by their own gravitating power,
 
 §11. His Problem of Three Revolving Bodies. 37 
 
 f -^ 
 
 <: 
 
 
 
 <c 
 
 ^ / ! 
 
 
 a 
 
 and let the magnitudes of these bodies be exactly equal to 
 one another : then their 
 forces shall be equal, 
 their distances equal, 
 and their velocities 
 equal, and it will be 
 seen that they can not 
 revolve about each 
 other, but mw^X. follow 
 each other round a com- 
 mon center, and their 
 relative motion, in re- 
 spect to any point in 
 space (as the point or star A) must be on the value of the 
 circumference of the circle B, which passes through the 
 center of each body, as in the accompanying figure. 
 
 " Now, let us suppose that each of the elements contained 
 in the problem of three gravitating bodies, is an equal por- 
 tion of the area of the circle which these bodies describe 
 in a revolution ; then the circle will be divided from the 
 center into four equal parts, as at the points a, b, c, d, and 
 let each part equal one. It will be seen that in each rela- 
 tive change of position, each revolving body passes over 
 an area equal to one and one-third. In other words, their 
 relative motion is cis four to three. So, also, if each ele- 
 ment shall be an equal portion of the circumference of the 
 circle B, or an equal portion of the square of the diameter 
 of B, the same result is manifest, and the relative motion 
 of each revolving body is as four to three of such magni- 
 tude as is made the standard of measure. 
 
 "Again : Secondly. Let the area of the circle inscribed 
 in the equilateral triangle, whose sides make the distance 
 between these revolving bodies, be one, as in the following 
 figure. It is seen that the circle B, whose circumlerence 
 these bodies describe by their revolution, is four times 
 greater than such inscribed circle. (See Plate XXXI, 
 Appendix.) Hence, again, their relative change of posi- 
 tion is seen to be di?, four to three, or one and one-third of
 
 38 
 
 Parker's Quadrature of the Circle. § ii, 
 
 the primary magnitude which is made the standard of 
 measure, and (Proposition I, Chapter II) it is seen that the 
 
 circle inscribed in the 
 
 1 
 
 ' A 
 1 / 
 
 1 / 
 
 • / 
 1/ 
 1/ 
 
 <; 
 
 
 i\ 
 1 \ 
 1 \ 
 
   \ 
 
   \ 
 
   \ 
 
 1 \ 
 
 1 N^ 
 1 
 
 <r 
 
 ^ /   
 
 triangle, as above, forms 
 the basis of the area of 
 that triangle, when it 
 shall be measured by 
 circumference and ra- 
 dius, which are the 
 only legitimate ele- 
 ments of area in all 
 shapes alike. 
 
 "x\gain : Thirdly. \\ 
 " is seen that the equilat- 
 
 eral triangle [see preceding figure], whose sides make the 
 distance between these revolving bodies, is an angular shape 
 and being measured in the usual way of measuring angu- 
 lar shapes, its area equals the perpendicular V d, by half 
 the side. Now let the perpendicular P d, equal one. Then 
 it is seen that the diameter of the circle B, which these 
 bodies describe in a revolution, is one- third greater than the 
 perpendicular. Hence, in performing a complete revolu- 
 tion, these bodies describe a circumference equal to one 
 and one-third the circumference of one diameter. \\\ other 
 words, their relative motion is again seen to be 2,^ four to 
 three of one primary circumference. 
 
 '■'■Fourthly. These bodies, which are revolving together, 
 are known (by hypothesis) to be equal to one another in 
 magnitude, and consequently equal to one another in all 
 the elements concerned in their revolution. Now, let us 
 suppose that their distance from each other equals one. 
 That distance is seen to be the side of an equilateral tri- 
 angle inscribed in the circle B, whose circumference they 
 describe in one complete revolution. [See preceding fig- 
 ure.] Now, the side of an equilateral triangle inscribed in 
 a circle, equals the perpendicular from the base of an equi- 
 lateral triangle, whose side equals the diameter of the afore- 
 said circle ; and therefore, because the square of the side
 
 § II* His Problem of Three Revolving Bodies. 39 
 
 of any equilateral triangle equals one-third added to the 
 square of its perpendicular, and because the square of the 
 side of the equilateral triangle inscribed in B equals one^ 
 therefore the square of the diameter of B equals one and 
 one-third. Hence the area of B equals one and one-third the 
 area of a circle whose diameter is one. Hence, in describ- 
 ing the circumference of B, the relative motion of these 
 three revolving bodies shall be 'dsJ~our to three, or one and 
 one-third the area of a circle whose diameter is one. 
 
 "By Proposition XH, Chapter H, it is shown that the 
 true and primary ratio of circumference to diameter of all 
 circles, which can be expressed in whole numbers, \s> four 
 times the area of one circle inscribed in one square for the 
 ratio of circumference, to the area of the circumscribed 
 square, for a ratio of diameter. [See preceding figure.] 
 Therefore, it is evident that if the circumference of B shall 
 be resolved into such primary parts as shall express the 
 circumference of one diameter in whole numbers, and in 
 its exact relation to area and diameter, without a remainder 
 in either, then the circumference of B shall equal one and 
 one-third of one primary circumference, such as may be 
 expressed in whole numbers ; because the area of the 
 square circumscribing B equals one and one-third, when 
 the side of the equilateral triangle inscribed in B equals 
 one. 
 
 '■'■ Fifth, and lastly. These revolving bodies must be sup- 
 posed to revolve upon a value, in which diameter and area 
 form exact and equal portions, and the only circle in nature 
 whose diameter and area are equal to one another, and 
 identical in numbers, is a circle whose circumference is 
 four; hence the relative motion of three bodies of equal 
 magnitude, revolving together, can not be otherwise than 
 one and one-third of such parts. 
 
 "It is evident, from all the foregoing demonstrations, 
 that, if we suppose the elements of which this problem is 
 composed to be magnitudes, and take them as a standard 
 of measure, whether such magnitudes shall be equal por- 
 tions of the area of a circle, or of its circumference, or of
 
 40 Parker's Quadrature of the Circle. § ii. 
 
 the square of its diameter, or whether we take as our 
 standard of measure the distance betzveen these revolving 
 bodies, which makes the side of a triangle, or the perpen- 
 dicular oi ^wi^ triangle, or its inscribed circle, in all cases, 
 and in every case, the relative motion of these three re- 
 volving bodies must be 2iS four to three, or one and one- 
 third of such magnitude as is made the standard of 
 measure, and there is no other standard of measure which 
 can be mathematically assumed in the premises which I 
 have not here considered. 
 
 '■'■ The -proposition is therefore demonstrated that three 
 gravitating bodies of equal magnitude, revolving together, 
 their relative motion shall be as four to three, or one and 
 one-third oi one primary circunference. 
 
 " It will be obvious to any one that, in the foregoing dem- 
 onstration, I have assumed that the magnitudes of the 
 revolving bodies are all equal to one another, and hence 
 their forces, distances, and velocities are all equal to one 
 another; consequently, they all revolve on the same cir- 
 cumference, as shown in the several plates, from XXII to 
 XXVI ; therefore, they can not revolve about each other, 
 but must foil 021/ each other round a common center. But, 
 in the problem of the revolution of the moon about the 
 earth, and the earth and moon together about the sun, the 
 magnitudes are all unequal, and hence their distances from 
 each other, their forces and velocities, are all unequal, and 
 they are known not to follow each other, as in the fore- 
 going demonstration, but to revolve about each other in the 
 order above stated. 
 
 "It may perhaps, therefore, be inferred that the foregoing 
 demonstration is not applicable to such gravitating bodies. 
 But it must be observed, also, that the equalizing power of 
 all the elements of the problem are in full force and op- 
 eration here, as well as in the problem just solved, and 
 that the chosen distances, forces, and velocities are in exact 
 proportion to the relative magnitudes of the bodies revolv- 
 ing ; and hence their relative motion shall be still the 
 same, with this difference only, that because the moon re-
 
 § 12. His Problem of Three Revolving Bodies. 41 
 
 volves about the earth, and the earth and the moon together 
 revolve about the sun, therefore their relative motions being 
 expressed by time (which is also relative), the following 
 proportions ensue." 
 
 (§ 12.) While Mr. Parker seeks to set forth his own 
 clearly conceived opinions that nature, in the construction 
 of the solar system, and of the cosmos, founds all bodies 
 as to their size, shape, density, motion, relation to each 
 other, and relative motion to each other, upon an under- 
 lyifig law , capable of mental realization and of geometrical 
 setting forth, by which, if some one unit fact of these phe- 
 nomena is known, then all these various elements may be 
 had in a correlating and co-ordinating method of notation, 
 he also intends to say that there is one, and but one number 
 form, for a flux through which all these relations may be- 
 come manifested and known. The base of the law is the 
 relation of the geometrical elements of the triangle, the 
 circle, and the square ; the second, or measuring, or no- 
 tating, stage is the relation of the area and rectification of 
 the circle in terms of the square. Now, these relations 
 may be variously set forth, as of unity for diameter to 
 3. 14159 -(- for circumference, and soon; but there is but 
 one numerical form for the expression of these relations, 
 through which all these phenomena will correlatively work 
 themselves out, and that is in the Parker forms of 6561 : 
 5153X4=20612, ixnd none other ; and this is the form on 
 which, under his quadrature value, and his problem of 
 three revolving bodies, Mr. Parker proceeds to the calcu- 
 lation of the time periods of the earth and the moon. 
 
 Suppose that nature herself recognizes the division of 
 the solar day into the same subdivisions that man does, viz., 
 5184000'" (or, in other words, suppose that man has been 
 taught these number relations from nature, as by revela- 
 tion, in what way soever we may understand it as coming), 
 as a time circle actually made by the revolution of a planet ; 
 and suppose she herself has so adjusted her works that 
 this circle has relation to the abstract relation of square 
 area to circular area and circular rectification in one pecu-
 
 42 Parker's Quadrature of the Circle. § 13. 
 
 liar number form, and none other, so that she shall pre- 
 serve harmonious connection in all her works, between 
 geometrical principles of change and the power of trans- 
 lating or notating them through just these number forms ^ 
 and none other. The conclusion is irresistible that the 
 numerical methods, which we as mortals do possess, are, 
 after all, but the very ones which some unseen power has 
 been working by in the very creation of our cosmos, and 
 in some way has actually implanted in us for our use. The 
 test of this is in the application. Mr. Parker has the right 
 of comparison of two distinct forms of circular use. For 
 instance, a point on the equator performs a circle of time in 
 what we call 360 degrees of space, or 24 hours of time, or 
 5184000 thirds of last subdivisions of time. Then 5184 is 
 the index of this work done and of a circular value accom- 
 plished. Again, Mr. Parker finds that 5153 is abstractly 
 the area of a circle inscribed in a square of an area of 
 6561. He has the right to institute whatever comparisons 
 he sees fit between these two relations, because of the com- 
 mon property which they have of being circular admeasure- 
 ments. But this is but his right, and it does not follow that 
 nature has had any like weakness or any like strength of 
 design. However, she has a measure of her own to mark 
 the same time period, which is in the rising and setting of 
 the sun as a fact, or in the alternations of day and night. 
 If Mr. Parker's uses are such that nature's use is seen ac- 
 curately to fit and adapt to them, then instead of speaking 
 of "J/r. Parker's amplications,''' we can say and should say, 
 ^^ Nature's af plications as discovered by Air. Parker. '' 
 
 (§ 13.) Mr. Parker takes the characteristic value 
 of a solar day as a circular admeasurement in its 
 division of 5^S4. 
 
 With this he claims that, in nature, the abstract 
 value of circular area is connected in mechanical 
 construction, which value is 5^53* 
 
 As the one is the solar day value in thirds, so he makes 
 the second the abstract circular value in thirds, or like 
 denomination. He says :
 
 § 13- His Problem of Three Revolving Bodies. 43 
 
 " The length of one ' circular clay ' is 5153000'" 
 
 *' The length of one ' solar day ' is 5184000'" 
 
 " The length of one ' sidereal day ' is 5169846'" 
 
 *' The difference between one circular and one solar day 
 
 is 8' 2^" 40'" (or, it is 31-000"', the differential 31 being a 
 
 number of great use). 
 
 " The difference between one circular and one sidereal 
 
 day is 4' 40" 46'"." 
 
 His relation of area of square to that of inscribed circle 
 is : 
 
 Area of square, 6561 
 
 Area of inscribed circle, 5153 
 His relation of rectification is : 
 
 Diameter of circle, 6561 
 
 Circumference of circle, 5153X4 = 20612 
 His general formula for the calculation of time periods, 
 under his " problem of three revolving bodies," is : 
 
 20612X- = 27482.666+, and this X - = 36643.555 + , 
 
 3 . ^. . 
 
 in which the base is the area of the inscribed circle X by 
 
 4 = its rectification ; the second term is numerically the 
 value of the moon's lunation, and the third is the base of 
 the calculation of the solar year. To illustrate what has 
 been said : Take the second term as the value of the moon's 
 lunation : numerically, it is the value of abstract circum- 
 ference, plus one-third of itself, and Mr. Parker says of it 
 that it is " the value of the moon's passage around the 
 earth over the value of one complete circle in space, in cir- 
 cular days ;" that is, it is in terms of the abstract value of 
 5153 and in its denominations, for it was raised from it. 
 Reduce this to solar time, thus : 
 
 t^ I S ^ooo . 
 
 27482666+X ^^—^=273183220164+ : 
 
 Take this result as 27.3183220164+ solar days, and reduced 
 to the proper divisions of solar time, there results 27d. 7h. 
 38' 23" i'" 20"". Now, this result is too small for a sidereal 
 lunation by the quantity 4' 40" 46'", but strangely enough, 
 or rather magnificently enough, as proving all that has
 
 4-4 Parker's Quadrature of the Circle. § 14. 
 
 been advanced, this quantity, as will be seen by reference 
 to the differences above, is just the difference between one 
 circular and one sidereal day, that difference being just 
 4' 40" 46'". Thus there are the integral calculations : (i.) 
 The Parker abstract form, raised by his problem of three 
 revolving bodies, to a numerical value of a sidereal luna- 
 tion, which, (2.) reduced to solar circular value, by the ad- 
 dition of the difference between the abstract circular value 
 and the real sidereal value of a solar day, gives the real 
 mean lunation in natural -periods of days. There could 
 be no stronger proof that in our resultant number forms of 
 360 degrees, 24 hours, and 5184000'", we have simply 
 been making use of a system with which we have had no 
 hand or part in its invention. It is to be observed that 
 this result is one-fifth of one second in a lunar month, less 
 than the period given in astronomical time. But let it be 
 remembered that from the received astronomical value, it 
 has been inferred that with regard to ancient astronomical 
 time, the moon's motion has been accelerated, and this has 
 given rise to the opinion that the solar system of movement 
 is winding down, or closing up. By Mr. Parker's time, on 
 this same ground, the moon's motion is shown to be equable 
 and perfectly true to itself, going to show that the solar 
 system is not a system of projectiles, but is a permanency ^ 
 having a far more subtle and life-like cause of movement. 
 
 The third term of Mr. Parker's application of his prob- 
 lem of three revolving bodies, is 36643.555 + , which he 
 says is " the exact value of the earth's passage around the 
 sun, over the value of one complete circle in space, in cir- 
 cular days ;" and on this he proceeds to the reduction to 
 the exact period of the earth in solar time. 
 
 (§ 14.) His periods of time agree to a marvelously 
 small fraction with the standard periods. The following 
 tabulation shows this : 
 
 (i.) A sidereal lunation. 
 Astronomical time, 27d. yh. 43' 4" 
 
 By Mr. Parker, 27d. yh. 43' 3" 47'" 20""
 
 § 15- His Problem of Three Revolving Bodies. 45 
 
 (2.) A solar liinatio7i. 
 
 Astronomical time as usu- 
 ally given, 29d. I2h. 44' 3" 
 
 84+ 
 By Mr. Parker, spd. i2h. 44' 2"^^ 
 
 The synodic period, as given 
 
 by McKay, the English 
 
 navigator, 29d. I2h. 44' 1" 48'" 
 
 By Mr. Parker, 29d. I2h. 44' 2" 50'" 31 
 
 iin 
 
 (3.) A mean year. 
 
 Astronomical time, as given 
 
 *' thirty years since," S^Sd. 5h. 48' 49" 
 
 " By the latest authorities, as 
 
 taken from a work of Dr. 
 
 Dick," 365d. 5h. 48' 51" 
 
 By Mr. Parker, 365d. 5h. 48' 50" 53'" 6"' 
 
 (4.) A solar year. 
 
 Astronomical time, S^Sd. 5h. 48' 6" 
 
 By Mr. Parker, 365d. 5h. 48' 6" \"' 6"" 
 
 (§ 15.) These statements are given to exhibit the use 
 made by Mr. Parker of his problem of three revolving 
 bodies, based on his abstract circular values, and the use 
 of the /actors 4 and 3 in the formula 
 
 20612X - = 27482.66+, and this X - = 36643.55+ ; 
 3 3 
 
 the use of which factors will be shown to be very promi- 
 nent in the pyramid works and measures. 
 
 And here, as in relation to his Quadrature, it is stated 
 distinctly that the setting forth of the problems or claims 
 of Mr. Parker are not in any way as affirming either his 
 establishment of the Quadrature or of the problem of three 
 revolving bodies. It is absolutely necessary to set forth the 
 results of his labors, because it will be shown beyond all 
 controversy that the construction of the great pyramid was
 
 46 The Possibility on Mr. Parker's Forms § 16 
 
 WiO. architectural display of his results; and without the 
 use of his conclusions and results, it WiW forever prove im- 
 possible to reconstruct that mass agreeably to the concep- 
 tion of the architect. 
 
 CHAPTER II. 
 
 SECTION I. 
 
 THE POSSIBILITY ON MR. PARKEr's FORMS OF RAISING A CO- 
 ORDINATING UNIT OF MEASURE. 
 
 (§ 16.) Since the value of circumference of a circle, 
 20612, is SO simply raised into measures of time, the ques- 
 tion arises : Why would it not be feasible to found upon the 
 same datum a co-ordinating unit of measure for other 
 purposes? Take Mr. Parker's formulation: 
 
 20612 4 4X10 
 
 -^^ X - -= 27.48266+, and this X -= 366.4355 + ' 
 
 which equals 
 
 4 4X10 
 20.612 X-= 27.48266+, and this X = 366.4355 + . 
 
 Here the first value is an abstraction, but the second term is 
 the value of a moon's lunation, and the third term is the 
 value of a year's period, in circular days reducible by ob- 
 servation to solar time : and here we have, as attached to 
 the value of circumference in integrals, time measures in 
 natural periods of da^^s. Suppose it is attempted to raise 
 from this source a unit for linear, -plane, and solid, measure, 
 in terms of these elements, so as to combine it with the cir- 
 cular and ti^ne measures. How to do it? Very simply. 
 The natural unit for linear measure is anything which will 
 serve as unity. That {ov plane and solid measures should 
 correlate with linear. Take the geometrical figure of the
 
 § 17- Of Raising a Co-ordinate Unit of Measure. 47 
 
 cube. The edge of this solid is a line, and a line by which 
 the superficies or /"ace of the cube is measurable in terms of 
 area; -and {\\e face area multiplied by the linear length, 
 will give the solidity. Now, there are twelve edges to the 
 cube; therefore, divide the above expression by 12, and 
 there results 
 
 20^ 4 ^ 274826+ ^^^ ^1^.^ ^o ^ 3664355, 
 
 12 J 12 3 12 
 
 or, 
 
 X.7X766+ X ^ = '^, and .his x ^ = ^'S . 
 
 3 12 3 12 
 
 that is, this ^r5/ terin, from whence spring these measures 
 of lunar and solar time, by thus being, as it were, cubed, 
 gives an additional zi7iit of measure, for linear, plane, and 
 solid measure. If to this first term, thus divided, some 
 ■practicable value for use could be assigned, this remarka- 
 ble co-ordinating unit of measure would be of the greatest 
 value. 
 
 THIS possibility, IN FACT, IS A REALITY THE ANCIENT CUBIT 
 
 AND BRITISH INCH. 
 
 (§ 17.) Providentially, this first term has a practicable 
 value assigned to it, so that we are at no loss as to its rec- 
 ognition. For long, the attempt to arrive at the value of 
 the ancient cubit measure has proved futile, except as to an 
 approximate of what its real length was ; that is, the 
 source of its derivation has remained a mystery. Gather- 
 ing some of the results as to the ascertainment of this cubit 
 measure, in the '-'■Israelite,'"' and in the '•'■ Ancient of Days,'^ 
 the author says : 
 
 "The value of the ancient Egyptian cubit has been 
 long sought, with results as follows ; 
 " Cubit of Elephantine, 20.625 inches, or 1.7187 + feet. 
 Memphis, 20.47291 " " 1.70607+ " 
 Turin, 20.57869 " " i. 71489+ " 
 
 Another, 20.61806 " " 1.71817+ " 
 
 20.65843 " " 1. 72153+ " 
 
 
 ((
 
 if 
 
 48 The Possibility on Mr. Parker's Forms § 18. 
 
 Another (Karnak), 20.650 inches, or 1.7208 + feet. 
 
 " Sir Isaac Newton, 20.604 " " ^-7^7 + 
 The most important, as 
 
 ascertained by Seyf- 
 
 farth, on the meas-) 20.61113988, " 1.71759+ " 
 
 ures of the French 
 
 Expedition of 1799, 
 
 " These resuhs have been accurately taken from differ- 
 ent authors. Their nearness to the trutli is sufficient to 
 show that the perfect determination of this cubit value has 
 been obtained to wilhin a very narrow limit; in fact, so 
 narrow that but little hopes of further correction can rea- 
 sonably be entertained, unless the very elemental principle 
 whence the cubit numerical value was derived be, in some 
 way, stumbled on. 
 
 (§ 18.) "Before proceeding to show whence the de- 
 rivation of the cubit, it may be well to explain why it is 
 stated that the measure of Seyfiarth is noted as the most 
 important. Seyffarth was appointed to succeed to and to 
 continue the labors of Spohn in the eflbrt to solve the ques- 
 tion of translation of the Egyptian hieroglyphics. At 
 Turin, in the museutti, he found a papyrus scroll containing 
 the ground plans and dimensions of the chambers, ■passage- 
 ways, etc., of the catacombs of Osimandya, in Egypt, as 
 to the lengths, breadths, and heights thereof, in the terms of 
 cubits and parts of cubits. It seems that the French expe- 
 dition of '99 had, with great care, taken these very meas- 
 ures. A comparison of one with the other was made, and 
 there resulted a value of the cubit as .523524 of the French 
 meter. One meter = 39-37 inches English ; and the re- 
 duction gives 20.61113988 British inches as the resultant 
 value. The importance is that this is derived from a great 
 number of comparative measures, just as Sir Isaac New- 
 ton's was derived from inany comparative measures taken 
 by Professor Greaves from the passage-ways and chambers 
 of the great pyramid of Jizeh. As to this value. Professor 
 S.eyffarth himself says : 
 
 " ' There are at present several Egyptian cubit measures in
 
 § ip. Of Raising a Co-ordinate Unit of Measure. 49 
 
 Europe which agree with each other in length and divisions. It 
 was, however, to be decided whether those ells were typical imi- 
 tations or real instruments of measuring. This question was 
 answered by the said ground plans at Turin, as has been demon- 
 strated, with reference to the Hebrew cubits, in my "Alphabeta 
 y^gyptiacum, Persarum," etc., Lipsiae, 1840, p. 140. This work 
 forms the sixth part of my " Beitraege ?ur Kenntniss," of which a 
 copy is to be found in the Astor library. The Egyptian cubit, 
 being divided into 3 feet, 7 palmi, 28 inches, and several smaller 
 parts of an inch, measures o 523524 meters, i. e., nearly 21 inches 
 English.' 
 
 " Take the expression given above : 
 
 ., 4 27.48266 , , , 40 266.A7^<i 
 
 i.7i'j66X^=-^-^ h, and this X— = ^^ 5:^^ _|_ 
 
 '3 12 ' ' 3 12 ^' 
 
 and here in that very first term, which is a cubing of the 
 
 20.612 
 value of circumference^ or , to raise a co-ordinating 
 
 unit of measure, this ancient cubit value of the Egyptians 
 is to be found, with the natural reasons for its derivation. 
 With it compare 
 
 Value of Sir Isaac Newton, i'7i7 f^et. 
 
 Value of Professor Seyffarth, i. 71759 -f- feet. 
 Obviously , then, we have as a -practical fact that the first 
 term of this expression is the value of the ancient cubit in 
 terms of the English foot measure. As obviously, the ex- 
 pression from whence this was derived was of the value of 
 the British inch, because it was 2o6i2-f-i2, the reduction 
 by 1000 being made to make it co-ordinate with a natural 
 measure of time, as stated. 
 
 '■'' Hence, then, we really and truly have in the British 
 foot and inch measures the identical derivations fro?n the 
 eletnents, and they turn out to be units of measure for 
 circular, linear, plane, solid, and time values." 
 
 (§ 19.) Thus, in discovering that there is a practicable 
 value to this unit of measure, co-ordinating so many differ- 
 ent kinds of measure, ordinarily taken to be diverse and 
 distinct from each other, in the Egyptian cubit value, it 
 appears that the original value whence this cubit, or cubit- 
 ing, was taken, was itself utilized, as in British inches,
 
 50 The Parker Forms Symbolized § 20. 
 
 making it to appear that the British measures were prior 
 in rank to all others. The further close and intimate con- 
 nection of these kinds of measure creates the impression 
 that (i) the British system of measures rests upon this 
 same quadrature of the circle, and (2) that the British 
 system of long and land measures is purposely framed to 
 answer at the same time to time measures^ showing an ex- 
 tension of the idea herein so strangely raised. Therefore, 
 it is not out of place to assert that an examination into the 
 structure of the British system of these measures may serve 
 to shed light on the whole subject, and to help the mind to 
 a partially better conception of the workings of the system. 
 This examination is to be found in Section III of this 
 chapter. 
 
 SECTION II. 
 
 THE ANSATED CROSS OF THE EGYPTIANS AND THE CHRISTIAN 
 CROSS THE EMBLEMATIC DISPLAY OF THE ORIGIN OF 
 MEASURES. 
 
 (§ 20.) If it is desired to display the process of the 
 establishment of the co-ordinating unit of measure spoken 
 of, by way of symbol, it would be by the figure of the cube 
 u7ifolded^ in co7inection with the circle, whose measure is 
 taken off onto the edges of the cube. The cube unfolded 
 becomes, in superficial display, a cross proper, or of the 
 tau form, and the attachment of the circle to this last gives 
 the ansated cross of the Egyptians, with its obvious mean- 
 ing of the origin of measures. Because, also, this kind 
 of measure was made to co-ordinate with the idea of the 
 origin of human life, it was secondarily made to assume 
 the type of the pudenda hermaphrodite, and, in fact, it is 
 placed by representation to cover this part of the human 
 person in the Hindu form. It is very observable that, while 
 there are but 6 faces to a cube, the representation of the 
 cross as the cube unfolded, as to the cross-bars, displays
 
 § 21. By the Ansated Cross and the Cross Proper. 51 
 
 one face of the cube as common to two b(i7's, counted as 
 belonging to either ; then, while the faces originally repre- 
 sented are but 6, the use of the two bars counts the square 
 as 4 for the upright and 3 for the cross-bar, making 7 in 
 all. Here we have the famous 4 and 3 and 7. The four 
 and three are the factor numbers of the Parker problem. 
 But, what is very much to the purpose here, is, that the 
 golden candlestick in the temple was so composed that, 
 counting on either side, there were yo?/r candle-sockets ; 
 while, at the apex, there being one in common to both 
 sides, there were in fact 3 to be counted on one side and 4 
 on the other, making in all the number 7, upon the self- 
 same idea of one in common with the cross display. Take 
 a line of one unit in breadth by 3 units long, and place it 
 on an incline ; take another of 4 units long, and lean it 
 upon this one, from an opposite incline, making the top 
 unit of the 4 in length the corner or apex of a triangle. 
 This is the display of the candlestick. Now, take away 
 the line of 3 units in length, and cross it on the one of 4 
 units in length, and the cross form results. The same idea 
 is conveyed in the six days of the week in Genesis, crowned 
 by the seventh, which was used by itself as a base of cir- 
 cular measure. 
 
 (§ 21.) On page 6 of the Introduction, and in § 3 of 
 the text, it is noticed that with the Hebrews and in the 
 pyramid — and this will be shown hereafter more fully — the 
 form of 113 to 355 is closely allied to, and intimately con- 
 nected with, the Parker form of 6561 to 20612. It is so 
 in the working out of astronomical and other problems, 
 and in giving one great symbol value to the Hebrew god- 
 word Jehovah. As seen, the symbol of the origin of 
 measures, from whence the idea of the origin of all things 
 took its rise, in the number form, is the cross. In Hebrew, 
 the, or one of the, word forms for '■'■man^^ is \y^i^, or aish. 
 The value of this word is, adding the values of the letters, 
 311, or, reading the characteristics of the values as the 
 word reads, 113 — the very diameter value in question. The 
 circumference value to this, or 355, is to be found in the
 
 52 The Parker Forms Symbolized § 22. 
 
 Hebrew word for a lunar year, or (IJl^, or shdnah, thus 
 directly connecting the idea of " man'''' with an astronom- 
 ical value, as also an abstract circular value. As said, the 
 two values of 113 to 355 and 6561 to 20612 are, as it were, 
 welded together in the ancient use. The attachment of a 
 man to the cross would be, in display, the symbol of such 
 welding. In fact, this is a plainer and more perfect sym- 
 bolization of the ancient use than any other. It was one 
 made use of in this form of display by the Hindus. In 
 fact, the Old Testament is rabbinically and kabbalistically 
 familiar with the expression of crucifying a man, or men, 
 before the Lord and the sun. In symbol, the nails of the 
 cross have for the shape of the heads thereof a solid pyra- 
 mid, and a tapering square obeliscal shaft, or phallic em- 
 blem, for the nail. Taking the position of the three nails 
 in the man's extremities, and on the cross they form or mark 
 a triangle in shape, one nail being at each corner of the 
 triangle. The wounds, or stigmata, in the extremities are 
 necessarily ybwr, designative of the square; and, as in the 
 candlestick, there have been two used as one, or rather one 
 used as two, in the connection of the three nails with the 
 four extremities. The three nails with the three wounds 
 are in number 6, which denotes the 6 faces of the cube un- 
 folded, on which the man is placed ; and this in turn points 
 to the circular measure transferred onto the edges of the 
 cube. The one wound of the feet separates into two when 
 the feet are separated, making three togethery^r all, and 
 four when separated, or 7 in all — another and most holy 
 feminine base number. 
 
 (§ 22.) The man's head is the symbol of the sphere, or 
 circle; but this has been enforced by the use of a crown 
 upon it, of a circle of light about it, or of a nimbus or 
 glory radiating from it. In Hebrew, the word for head is 
 tJ'NI, or rash, and reads 213. The Hebrew, so far as the 
 author can discover, had no expression for a cipher or 
 nought, but understood it or not, as needed. Now, 213 
 equals 355x6=213-0, and this circumference value, as 
 that of the head of the man, is in fact used to denote the
 
 § 23- By the Ansated Cross and the Cross Proper. 53 
 
 subdivision of the circumference of 355 by 6 diameters 
 crossing, thus making the circle subdivided into 12 com- 
 partments. This is to be found in the first line of Genesis, 
 and in the picture of the flood. 
 
 (§ 23.) These are symbols of ancient use of the 
 Parker forms and their connections. It serves but to con- 
 firm this use to notice the conclusion to which Professor 
 Seyffarth arrived from the study of the Egyptian hiero- 
 glyphic signification of the ansated cross. It will be ob- 
 served that this cross, being surmounted by the circle, or 
 circular figure, in fact roughly represents the form of a man, 
 with arms extended. Professor Seyffarth says : 
 
 " It represents, as I now believe, the scull with the brains, the 
 seat of the soul, and with the nerves extending to the spine, back, 
 and eyes or ears. For the Tanis stone translates it repeatedly 
 by anthropos (man), and this very word is alphabetically writ- 
 ten (Egyptian) ank. Hence we have the Coptic ank^ vtia, prop- 
 erly aniina^ which corresponds with the Hebrew tJ^1jJ»{, anosh, 
 properly meaning anima. This J^'^JJi^ is the primitive "1*)^^^ for 
 
 ^3JN ^'^^ personal pronoun I). The Egyptian Anki signifies 
 my soul." 
 
 It is curious that this Hebrew equivalent, Anosh, for 
 *' w^a«,"by Mr. Seyffarth, reads numerically 365 — i, which 
 
 could be intended to mean either 365-1-1=366, or 365 — 1= 
 364, or the time phases of the solar year, thus shadowing 
 forth the astronomical connection.
 
 54 Primordial Vestiges of these Symbols. § 24. 
 
 PRIMORDIAL VESTIGES OF THESE SYMBOLS. 
 
 Under the general view taken of the nature of the number forms 
 of Mr. Parker, it becomes a matter of research of the utmost inter- 
 est as to when and where their existence and their use first be- 
 came known. Has it been a matter of revekition in what we 
 know as the historic age — a cycle exceedingly modern when the 
 age of the human race is contemplated.'' It seems, in fact, as to 
 the date of its possession by man, to have been further removed, 
 in the past, from the old Egyptians than are the old Egyptians 
 from US. 
 
 THE EASTER ISLES. 
 
 (§ 24.) (i.) The Easter Isles in " mid Pacific'''' present 
 the feature of the remaining peaks of the mountains of a 
 submerged continent, for the reason that these peaks are 
 thickly studded with- cyclopean statues, remnants of the 
 civilization of a dense and cultivated people, who must have 
 of necessity occupied a widely extended area. On the 
 backs of these images is to be found the " ansated cross " 
 and the same modified to the outlines of the human form. 
 A full description, with plate showing the land, with the 
 thickly planted statues, also with copies of the images, is to 
 be found in the January number, 1870, of the '■'■London 
 Builder.'" The statues exhibiting the markings of the 
 cross, it is thought, are in the British Museum. 
 
 CRUCIFIED MAN IN SOUTH AMERICA. 
 
 (2.) In the "-Natiiralistr published at Salem, Massa- 
 chusetts, in one of the early numbers (about 36), is to be 
 found a description of some very ancient and curious carv- 
 ings on the crest walls of the mountains of South America, 
 older by far, it is averred, than the races now living. The 
 strangeness of these tracings is in that they exhibit the out- 
 lines of a man stretched out on a cross, by a series of 
 drawings, by which from the form of a man that of a cross 
 springs, but so done that the cross may be taken as the 
 man, or the man as the cross ; thus exhibiting a symbolic 
 display of the interdependency of the forms set forth in 
 the text.
 
 § 24. Primordial Vestiges of these Symbols. 55 
 
 HEBREW INSCRIPTIONS IN THE AMERICAN MOUNDS. 
 
 (3.) A few years since, a man by the name of Wyrick, 
 a persistent delver in the squares and circles of the 
 ^^mound-builders,'" at Newark, Ohio, discovered two stones, 
 covered with old Hebrew inscriptions. He had borne a 
 very good character; was a simple, unlearned, and, by 
 reputation, truthful man. Shortly prior to his finding these 
 relics in the clay of a kind of- well or water hole, in one 
 corner of one of the inclosures, he had been in the State 
 of Pennsylvania, and it has been supposed that he obtained 
 these relics there, and afterward pretended to find them in 
 the mounds. As to the relics themselves, they were pro- 
 nounced upon by competent judges as being of great an- 
 tiquity, and certainly were made at the expense of very 
 much labor, skill, and learning. While, by common con- 
 sent, Mr. Wyrick held the reputation of being simple and 
 truthful, the seeming impossibility of his alleged discovery 
 made his reputation for truthfulness, in the estimation of 
 some, kick the beam ; and so, by some, his Jind was put 
 down as doubtful, by sheer necessity of the case. 
 
 CURIOUS DATA REGARDING THE MOUNDS AS ALIKE TYPHONIC 
 EMBLEMS WITH THE PYRAMID OF EGYPT AND WITH HEBREW 
 SYMBOLS. 
 
 (4.) Now, as sustaining his veracity, it is to be seen 
 that there is this very curious combination of data, with 
 respect to these mounds : The mounds are monumented 
 circles and squares, or relations of circular and right 
 line measure. To these the Egyptians and the Hebrews 
 alike, were addicted, in the workings of their hicrhest 
 religious cultus. Both the Egyptians and Hebrews seem 
 to have derived their knowledije from the common source 
 of the Phenician. The great pyramid monumenting this 
 cultus, stands on the west bank of the Nile, the side of 
 sepulture. The books of the Eg3'ptians containing this 
 knowledge, were called the boohs of the dead. The name of
 
 56 Primordial Vestiges of these Symbols. § 24. 
 
 3foses, the author of the Hebrew books containing this 
 knowledge, was the equivalent of Thot, or Hermes, the lord 
 of the lower realms, or of the dead, who, also, was esteemed 
 the teacher of wisdom. Now, one form of the lord of the 
 descendant, he who held the gates of death, was Typhon ; 
 and he was lord of sepulture, and his great Egyptian rep- 
 resentative was the crocodile, or alligator, as his Hebrew 
 and Egyptian representative was that of the szvine or hog; 
 exemplified in the Christian books by the devil leaving the 
 man and passing into the herd of swine, which thereupon 
 rushed into the sea, another emblem of Typhon. Near 
 the Newark mounds of circles, and squares, or rectilinear 
 figures, is a high hill overlooking them, and it is stated 
 that on this hill is a monstrous mound, built to monument 
 the sha^e of aji alligator or crocodile, apparently located 
 as lord paramount over the works below. 
 
 The authority for this interesting crocodile mound is as 
 follows, quoting from a letterof description : " The alligator 
 of which I spoke to you, I have seen a great many times ; 
 is on the farm adjoining my father's ; is, as I recollect 
 it, from 75 to 100 feet in length, and properly proportioned 
 as to breadth, length, and size of legs, tail, body, and 
 head ; is distinctly preserved and easily traced ; looks, as 
 I recollect, to the east, and most of the ancient works in 
 that vicinity are in an easterly direction from that point, and 
 when the forests are cleared away, in sight of the alligator, 
 which is on the highest point in that vicinity." This de- 
 scription is by a very prominent and well-known public 
 man of the State of Ohio. 
 
 In the city of Marietta, Ohio, is to be found some fine 
 remains of the " motmd-builders .^'' There is a truncated 
 cone surrounded by an elliptical embankment. On one 
 side this embankment is cut through, leaving a passage-way 
 leading on to a causeway, raised above the general level 
 of the ground, and extending a distance of about 1,000 feet 
 to the side of a square. Half-way across this distance, and 
 on the general level of the ground, a fire had been made, 
 and gifts offered, probably at the dedication of the works.
 
 § 24. Primordial Vestiges of these Symbols. 57 
 
 The most remarkable one was a mass of pure native 
 silver of four pounds weight, lying on charcoal remains of 
 the fire in which it had been smelted. Tliis metal, in its 
 pure condition, could only have been procured from Lake 
 Superior. It has been noticed by those conversant with 
 the mounds, that the gifts (of dedication) are as follows : 
 Discs of mica slate from the cast of the Alleghanies, and 
 shells from the Gulf of Mexico, or from the south. Here 
 was silver from the north. The west was seemingly not 
 represented, as' likewise was the case with the Egyptians 
 and Hebrews, because the west signified the Typhonic por- 
 tals into another condition of existence, from whence no 
 gift could be brought. 
 
 MOUNDS SHOWING BRITISH MEASURES. 
 
 (6.) In searching in the works of Squier and Davis, a 
 great number of measures of the mounds were found, and 
 it was very observable that the English measures seemed 
 so fitting, that it was difficult to free the mind from dwell- 
 ing upon their use in the original construction. These 
 measures seemed to be multiples of 3, 4, 6, and 12, and 
 kept running toward the value 360. These facts were 
 noted at the time as curious ; but any possible connection 
 seemed, even as it does now, but a wild freak of the im- 
 agination, and the matter, though noted, was dropped. 
 
 AZTEC OR " 7nound-builder" pyramid, showing the use of 
 
 THE value 318, OR DIAMETER TO A CIRCUMFERENCE OF 
 one^ AS A CIVIL CALENDAR NUMBER. 
 
 (7.) It is known that tradidon among the Aztecs has 
 handed down a very perfect account of the deluge of Noah. 
 Baron Humboldt says that we are to look for the country 
 of Aztalan, the original country of the Aztecs, as high up, 
 at least, as the 42d parallel north ; whence journeying, they 
 at last arrived in the vale of Mexico. In that vale the 
 earthen mounds of the far north become the elegant stone 
 P3^ramidal, and other structures, whose remains are now 
 found. The correspondence between the Aztec remains
 
 58 Primordial Vestiges of these Symbols. § 24. 
 
 and those of the Egyptians is well known. As to the an- 
 cient works, Atwater, from examination of hundreds of 
 them, is convinced that their authors had a knowledge of 
 astronomy. As to one of the most perfect of the pyramidal 
 structures among the Aztecs, Humboldt gives a descrip- 
 tion to the following eflect : 
 
 "The form of this pyramid (of Papantla), which has seven 
 stories, is more tapering than any other monument of this kind 
 yet discovered, but its height is not remarkable, being but 57 feet, 
 its base but 25 feet on each side. However, it is remarkable on 
 one account : it is built entirely of hewn stones, of an extraordi- 
 nary size, and very beautifully shaped. Three staircases lead 
 to the top, the steps of which were decorated witli hieroglyphical 
 scvdptures and small niches^ arranged with great symmetry. 
 The number of these niches seems to allude to the 318 sitnple 
 and compound signs of the days of their civil calendar.^'' 
 
 318 is the Gnostic value of Clirist, and the famous num- 
 ber of the trained or circumcised servants of Abram. 
 When it is considered that 318 is an abstract value, and 
 universal ?is expressive of a diameter value to a circumfer- 
 ence of u?iity, its use in the composition of a civil calendar 
 becomes manifest. It was in Hebrew use. 
 
 OLD BRONZE AXES OF THE PHENICIANS, IDENTICAL IN SHAPE 
 WITH THE COPPER ONES OF THE MOUND-BUILDERS. 
 
 (8.) General Cesnola, on the hillside of Idalium, in 
 the island of Cyprus, exhumed an early Grecian or Pelas- 
 gic necropolis, which was three feet below the surface. 
 At the depth of six and a half feet below this, a still 
 more ancient necropolis of the old Phenicians was found, 
 from which a vast collection of their remains was made. 
 The metal instruments found were of bronze, or an admix- 
 ture of tin with copper. Among these, is to be seen, in 
 this collection, in 14th street, New York, the style of shape 
 of the axes used at that time. Larger and smaller, they 
 are of the same peculiar shape, being solid, without any 
 hole for a handle. They are identically the same with the 
 copper axes to be found in the " mound-bitilders' " remains. 
 These copper axes must have been useless, because of their
 
 § 25. British Long and Land Measures. 59 
 
 softness ; and, on this continent, there was no tin found for 
 admixture. It may have been that there was relationship 
 of race and nation, and these useless articles were made 
 as mementos of the actual ones, which were, in another part 
 of the world, useful from the admixture of another metal. 
 The same style of axes is to be seen in a Boston col- 
 lection, either of Egyptian or early Greek. 
 
 Tlie above series of facts seem to be interesting and 
 worthy of recital in the connection made ; but conclusions 
 from them, as touching relation between the Egyptians and 
 Hebrews and Phenicians with the " motmd-buildcrs ,''^ or 
 as touching the primordial use of the Parker forms, and 
 the symbols of their use, are left to the reader. 
 
 SECTION III. 
 
 BRITISH LONG AND LAND MEASURES, INCLUSIVE OF AN OCCULT 
 SYSTEM OF CO-ORDINATING TIME MEASURES. 
 
 (§ 25.) (i.) It is found that the great pyramid can be re- 
 constructed from a standard base of measures (the Parker 
 elements of diameter to circumference values of a perfect 
 circle, viz., 6561 to 20612 in inches), so that by di j[)iirposed 
 variation on the standard, the result is an answer to, or is 
 in correspondence with, actual British measures of that 
 structure ; evidentl}^ to the intent of the architect. (2.) It 
 is found that this value of circumference, divided by 1000 
 
 20.612 
 and by 12, or, , is just the value i. 71766+ of the 
 
 ancient Egyptian or sacred cubit, in terms of the British 
 foot measure. (3.) It is found that by the proportion 
 20612 : 6561 :: i : .318309722494-, 
 there results a diameter of 318 -|- to a circumference of i ; 
 which 318 is the Gnostic value of the Christ, and is made 
 use of for this meaning of diameter, in the 318 trained or 
 circumcised servants of Abraham. It is also found that 
 this value, thus arising, is, in fact, made great use of in the
 
 6o British Long and Land Measures § 26. 
 
 pyramid, in Xhe. /ormtiI(S 3.18309-j- X 6= 19.0985 + , and 
 190.985+ X 2 =381.970+ ; the first result being the hight 
 of the king's chamber, and the second being the half base 
 side of that structure. (4.) It is found that the means of 
 reconstruction of that mass is that value of the Parker el- 
 ements, which, from his problem of three revolving bodies, 
 gives the value of a lunation, and of the year period, in 
 
 circular time measure ; that is, the values used are 
 .2 
 2o6i2Xt2= 36643-55 + , and this ^100= 366.4355+ ; 
 
 
 which result is, as Mr. Parker says, "the exact value of 
 the earth's passage around the sun, over one complete circle 
 in space, in circular days." (For the full formula, see § 
 13, p. 43.) And, in fact, the standard measure of the cir- 
 cumference of the base of the pyramid is 36643.55+ inches. 
 (§ 26.) (a.) It is found (§ 57), by certain values taken 
 of the earth's diameters, that the difference between their 
 lengths in British miles, multiplied by this value of 
 366.4355 + , gives the earth's equatorial diameter in miles; 
 that is, 
 
 (i.) 21.6325+ miles X 366.4355+ = 7926.9269+ miles. 
 The same difference, multiplied by the same value, less 
 one, gives the other diameter taken, thus : 
 
 (2.) 21.6325+ milesx 365-4355+ = 7905-2943 miles; a 
 value greater than the -polar, and less than the equatorial 
 diameter. 
 
 {b.) It is found that this difference, stated in miles, is it- 
 self also a derivative from an approximate year time value 
 in days, and partly derivable in the same manner. An es- 
 timate back will clearly show the derivation, thus ; 
 
 (i.) 21.6325+ X (t^X 10^ = 365.04894+. 
 
 It will be observed that the same process is used as in 
 § 25 (4), with the same factors, save in the reverse; and 
 that here 3^ is used in place of 3^ Reverse this process, 
 thus : 
 
 (2.) 365.04894+ ^ Tio X M = 21.6325+ miles.
 
 § 29- Include an Occult System of Time Measures. 6i 
 
 Substitute this value in {a.) (i.), and, by formulating, there 
 results, 
 
 366.4355+ X 365-04894 . ,,4' H ^ ^ , ., 
 
 (3-) ^^ + X -3= 7926.9269+ miles, 
 
 or, the equatorial diameter of the earth : 
 
 . . . 365-4355+ X 365.04894+ ,, 4'^ ^ ^ , ., 
 
 (4-) ^^ — X^ = 7905.2943+ miles. 
 
 or, the other diameter taken. 
 
 (Attention is directed to the use of the factors 4 and 3, as from 
 Mr. Parker's problem of three revolving bodies. Notice, also, 
 that the equivalent of 144, as the inches in the square foot is 
 4'^X3^) 
 
 (§ 27.) It is found that (4.), in § 26 (3.), is the same as to 
 
 (!•) 365-4355+ X 365-04894, 
 
 as the square of the mean of these values. Substituting 
 this equivalent expression of the square of the mean in that 
 formulation, (4.), and there results : 
 365.24225-' 4^ 
 ^'^^ ~~[o ^ f^ 7905-2943 miles, 
 
 where the multiplicand is found to be the mean solar year 
 value. 
 
 Wherefore, it is seen that the miles diameter value taken 
 is obtainable directly, and the miles equatorial value of 
 diameter is obtainable indirectly, through the square of the 
 mean solar year value. With these and additional data, 
 as of the true solar year value, the polar diameter of the 
 earth is to be had. [§57 {d.) (4.) and (5.) ] 
 
 (§ 28.) The chiefest value in the construction of the 
 pyramid is 216330, taken, first, as an elliptical property, or 
 difference of diameters, and was evidently intended as 
 the numerical value of the difference of certain ones of the 
 earth's diameters, as 21.6330 miles, for the purpose of ob- 
 taining others. 
 
 (§ 29.) The consideration of the foregoing carries with 
 it the impression that (i) there is a relation between time 
 and British mile values, in nature's construction of the 
 earth, so that (2) the material extension of the earth in 
 miles is in a kind of co-ordinate relation with its time meas- 
 ure about the sun, and vice versa. So it is well to ascer-
 
 62 British Long and Land Measures § 30. 
 
 tain what, if any, relation exists between time and distance^ 
 or area values, in the British measures themselves. If such 
 a relation does exist in them, and is discoverable, so as to 
 be recognizable, it certainly will serve to strengthen the 
 impression mentioned. 
 
 (§ 30.) That which attracts attention as to the make-up 
 of the British long and land measures is, that after the de- 
 nomination yards, or '■'' three feet make one yard,'' the next 
 enlargement is not continued in whole, but in fractional 
 values ; as, " <^\yards make one rod,"" or, " 3O4 square yards 
 make one square rod'' Continuing on, it does not say that 
 40 square rods make one square rood; then, that 4 square 
 roods make one square acre; then, that 640 square 
 acres make one square mile. It runs, "40 square rods 
 make one rood," " 4 roods make one acre" and " 640 acres 
 make one square 7nile" where the measures terminate. If 
 a special or occult (i. e., one beyond the ostensible purport) 
 measure can be shown to run through the grades of these 
 measures, having in view some definite terminus, which 
 attained to, shall co-ordinate two separate kinds of measure, 
 then \\\ii -principle, or such a principle, of the structure of 
 these British measures, and enlargements thereof, may be 
 inferred. It is thought that this can be shown. 
 
 («.) 144 square inches := i square foot. This gives a 
 square of 12 divisions to the side. (4' X 3^ = 144, so that 
 16 blocks of 3 inches to the face, or 9 blocks of 4 inches to 
 the face, fills the square.) Divide this square into 4 squares ; 
 each will contain 6 X 6, or ^f) square inches, and 36 X 4 = 
 
 144. By this division, the unit taken is a block of 6x6 
 = ^^6 square inches, 4 of which is a square foot. This is 
 the favorite subdivision among the ancients, and the basic 
 square, capable of subdivision again into blocks of 3 X 3 
 = 9. Therefore, take as the base 6 blocks in length of i 
 square inch each. This use is to be found in the beginning 
 of Genesis. {Kabbalistically, the measure of the earth is 
 represented as in alternate black and white squares, the 
 white signifj-ing male, and the \Ad,Q^ female.)
 
 § 31' Include an Occult System of Time Measures. 6;^ 
 
 (/;.) 36 X 36 square inches = i square yard. '^^6 x 36 
 = 1296, or 6 rows of 36 X 6, or 216 X 6= 1296. 
 
 Now, 4 square yards = 1296 X4 = 51845 and this is a 
 time measure, for 
 
 One solar day has in hours, 24 
 
 24 X 60' equals in minutes, 1440' 
 1440' X 60" " " seconds, 86400" 
 S6400" X 60'" " " ^/^/yi/5, 5184000'" 
 the characteristic values being, respectively, 24, 144, 864, 
 and 5184, numerically ; whereby it is seen that the perfect 
 square of 1^6 inches to the side, or the area of one yard, 
 multiplied by 4, =: 5184 square inches, is, in time value, the 
 
 -— , in thirds, of one solar day. 
 1000 -^ 
 
 (c.) Find, if possible, some condition of the British 
 measures, into which this value of one solar day will evenly 
 divide. 
 
 (i.) I rod = 198 inches to the face, or 198^ = 39204 
 square inches in area. 5184 will not evenly divide in this. 
 
 (2.) 40 rods = \ furlong in length, and i rood in area, 
 and 40X39204=1568160 square inches in area. 5184 
 will not evenly divide in this. 
 
 (3.) 4 roods make cw^^cr^:, and 1568160 X 4 = 6272640 
 square inches in area. 5184 divides evenly in this 1210 
 times. 
 
 (§31.) The block used has been 6 X 6, of 36 square 
 inches, or 6 times the unit row taken, = 6X1X6; and 
 the length of 160 rods, or 40 X 4? or one acre, is just 5280 
 of these blocks in length by 33 of them in breadth ; show- 
 ing that that condition which is a -perfect multiple of 5184, 
 
 or of 6"* X 4, or of the part of one solar day, is ar- 
 
 ^ 1000 ^ -^ 
 
 rived at, when we have a linear length in land measure, 
 
 in blocks of 36 square inches each, or of 6 X 6, of 5280 
 
 numerically the mile value. 
 
 One rod face b}'^ 160 rods deep is, in depth, one half of 
 
 one mile, and 320 such blocks, placed together, make one
 
 64 British Long and Land Measures § 33. 
 
 mile in length. For the ordinary uses of these measures, 
 the unit measure taken to begin with was a block of 12 
 inches to the face, and 144 square inches in area ; doubling 
 the above, or 160 X 2, will, at the same time, preserve the 
 above measure of time, in terms of blocks of 6 X 6, or 36 
 square inches each, and will also give the same numerical 
 value, viz., 5280, in blocks of 12 x 12, or of 144 square 
 inches. 
 
 (§ 32.) So, it is seen that the value of the fnile length 
 of 5280 X 33 5 in blocks of 6 X 6, the mile being the termi- 
 nal stage of the table of measures, is just that one which 
 gives the Jirst value into -which the solar day value will 
 evenly divide. This is very noteworthy, when taken in 
 connection with the facts and formulations hereinbefore set 
 forth, where the solar year value, in terms of solar days, 
 produces the values of the earth's diameters in terms of 
 British miles. 
 
 (§ "^Z-) (^0 Ox\Q. acre, then, is 5280 blocks of 6 X 6, 
 or 2i^ square inches in area, in length, or the numerical 
 value of the mile length in terms of blocks of 12 X 12, or 
 144 square inches in area. And it is the first sto^ or rest, 
 where the solar day value of 5184 evenly divides in square 
 inches. 
 
 Note that, In Hebrew, stop or rest (equals also a support or 
 base, as of a system, applicable variously) is Noah, or H^, and 
 our word Inch, literally changed into the Hebrew, is H^"* or 
 I-nch, the meaning of which is yah, or Jehovah is Noah; and 
 as the term Jehovah, for one of its meanings, is a zmit straight 
 one of a perfect circular denojninatiofi (§ 82, b'), Noah, by the 
 copula, is designative of some unit foutidation or base. 
 
 (b.) 518400'", or one solar day, -~ by 60'" ^86400". 
 The square yard contains 6 blocks of 6 inches each to the 
 face, or, in area ^6 X 36. One-sixth (J) of the square 
 yard is a block of 36 X 6 = 216 square inches. 216 X 4 
 =^864 square inches; therefore, 864 is | of one square 
 yard, and is the y^^ of one solar day, in seconds. 
 
 Thus, it is seen that the square yard seems to be just 
 ihat ;purp)oscd unit condition, such that 4 even units, or one
 
 § 2^. Include an Occult System of Time Measures. 65 
 
 enlarged square block of four even square yards, gives this 
 solar day number 5184; hence, it would seem to be the 
 source of the co-ordination of two sets of different kinds 
 of measure ; and as it originates the solar day, it may he 
 said to be the parent of the solar year, mmicrically. 
 
 Note that, in Hebrew, Jared, the father of Enoch, is construed 
 to be " tJie mount of descent" and is said to be the same with 
 Ararat^ on which the cubical structure of Noah, or fotindatio?t 
 measure, rested. Jared, in Hebrew, is TH"*. The root deriva- 
 tions are the same with those of Ararat, of acre, of earth^^ 
 The Hebrew "iT^ is literally, in British, Y R D ; hence, in 
 Jared, is to be found, literally, our English word yard (and 
 also I'l"*? for Jail, or JeJiovah, is rod). It is noteworthy the 
 son of yared, viz., EnocJi, lived 365 years ; and it is said of him, 
 by rabbinical commentators, that the year period of 365 days was 
 discovered by him, thus bringing, again, time and distajice val- 
 ues together, i. e., year time descended, by co-ordination, through 
 the yard, or Jared, who thus was its father, in or through 
 Enoch; and, truly enough, 12^6 ^:= yard (or yared) X 4 =^ 
 51S4, the characteristic value of the solar day, in thirds, which, 
 as stated, may be styled the parent, numerically^ of the solar 
 year. 
 
 *The Hebrew is noted for its word stem-building. The 
 methods of stem changes, to form organic changes, are very in- 
 teresting, though now not accurately known. '•'■Ararat = the 
 mount of descent = "l^'^-in, Hor-yared. Hatho mentions it 
 out of composition by uXrath = jl*l^{. Editor of Moses Cher- 
 enensis says : ' By this, they say, is signified the first place of de- 
 scent (of the ark).'" (Bryant's Anal , Vol. IV., pages 5, 6, 15). 
 Under '■'•Berge," mountain, Nork says of Ararat : " t3"TlKi for 
 ri"1N (i- e., Ararat for Aratlt), earth, Aramaic reduplication." 
 Here it is seen that Nork and Hatho make use of the same equiva- 
 lent, in Arath, ri")^, with the meaning of earth. Take the 
 word ■]'1K = arad, to -proceed from, to be descended from, 
 which is but a form of -]^», or yared. Consider that "], t3, and 
 n are interchangeable, and r)"lKi arath, 1"^J<(, arad, and t3")J»?, 
 arat, are cognate from a common source. Reduplicate, and we 
 have, for tDlJ^, arat, D'T^^{, or Ararat. Consider that jl is in- 
 terchangeable with n; and C^, and JlIK, arath, becomes ^"IJ^j 
 arets, the Hebrew word for earth. The Egyptian word for acre,
 
 66 British Long and Land Measures § 33. 
 
 an earth measure^ is ar-ou-a?'^ in which there is a simple redu- 
 pHcation of '^^{, ar. " ")}«{ = ar, is a stem having the funda- 
 mental signification oi ground^ earthy soil; h.ence^ yurroivhtg- 
 or f laughing^ harroiving or vexing^ (To be found to this 
 effect in " Origiti and Destiny of Man."^ Hence, taking 
 the ^'^1 ar^ as a stem, we have, in vexing ox furroxviug^ a base 
 for the word "|"1J«{, arar^ to curse^ used in Genesis. Chang- 
 ing r")K, arets^ to |*")n, charets^ we have to divide^ separate^ 
 to engrave; and in JJ^")ni charash, to plough, harrow, vex. 
 Now, Fuerst says that Tlji}, arad, is but a form of "7")"% jfared, 
 the woi'd in question, the }< and ^ "frequently running into each 
 other." The idea is descent from ^ as a source, also Jlowing from, 
 for the word, with suffix, is also a river. It will be shown that 
 the word T^IJi}, arets, earth, is really a very great god-xvord, ex- 
 pressive, with Adam, D'^^{i in the hifl participle of this word, 
 as a verbal, of the first great abstract hermaphrodite source of 
 production, or generation, or birth, or fowitigfrom^ under the 
 titles Arts, Artes, and Maditn, for Mars: hence Arets 
 earth, is a term of birth or descent, or of foivifig from, with 
 fared and Ararat, while all have reference to earth as a source 
 of birth as well as a mere reality. The development under the 
 Afars form works out the idea of generation, as applied alsa to 
 the growth of civilization — i. e., as a source oi ploughing, plant- 
 ing, building, measures, etc. ; in short, of all that comes under 
 the generalizing Ettglish- Hebrew and English-Egyptian word 
 Arts. So, cognately, fared or Tard, as source or descent of 
 earth measure, is but a form oi Aretz, and oi Ararat. All this 
 seems to fasten the chief stem, from whence the cognate ideas 
 are derived, in the radical stem "){.{, ar, with suffixes, and changes 
 to vary the original idea. In fact, Fuerst says, under *ni»s, arar, 
 to curse, " The stem is "^J<^, and, in further developments, has 
 also the harder sound, and so the root {^"IH' chara, to separate, 
 sever y So, it is thus seen that the words fared, Ararat, aroura, 
 arour, cursing, arets, earth, may all be cognate forms under the 
 radical "^^{, ar. It is to be observed that the numerical value of 
 the word Jared, or Tard, is taken, not, as usual, from any such 
 value appearing in the word, but from it as a concealed word for 
 that measure here given ; because of its most curious connections 
 in relation to measures, and because that it gives us the very 
 English word name (^yard^ under which the very measure fitting 
 in these very connections is numerically to be found.
 
 § 34- Include an Occult System of Time Measures. 67 
 
 (c.) 86400" -7- 60"= 1440'. The square foot contains 144 
 square inches. Therefore, the square foot equals in inches 
 
 the — of the numerical value of one solar day in minutes. 
 10 ^ •' 
 
 But it is rather four squares of 6 X 6, or of 36 square inches, 
 by using the unit square of 6 X 6. 
 
 (^.) 1440'-^ 60'= 24 hours, or one solar day in this di- 
 vision. Therefore, the — partof one square foot equals one 
 
 hour, and 144^-24 = 6 square inches, the basic unit value 
 from whence the source of this inquiry. As this can not 
 be formed into a square, it is taken as the even part of the 
 unit square in a row of 6 square inches, as one hour, which 
 is the geometrical and numerical base of the system ; or, 
 as hereafter to be seen, each unit square of this block of 6 
 is to be considered, by division, as making four hours, 
 viz , 2 of day and 2 of flight. 
 
 Thus it is seen that a system of ti7ne measures is, so to 
 speak, inclosed in the British system of long and land 
 measures, the limits of one being, or constituting, the limits 
 of the other kind — the difference being that, whereas, in 
 one kind, the measure runs from smaller to larger grades 
 of measure ; in the other, it runs in the reverse, from larger 
 to smaller. 
 
 Note, as a matter for antiquarians. Is it not possible that the 
 British system of measures, possibly thus shown to be of Phe- 
 nician origin, is a remaining link connecting the British people 
 with the source of their origin, through the Druids? Their ^/7- 
 gals, and this development as to these measui'es, seem to point 
 that way. 
 
 (§ 34.) It will be shown hereafter that the two great god- 
 names, viz., Jehovah and Elohim, in their numerical val- 
 ues, stood (for one meaning) for a diameter and a circum- 
 ference value, respectively. It is now well enough to 
 state a relation which one of these names, in its radicals, 
 seems to have to the measures under consideration. 
 
 There is a variation on the Parker values of 6561 to 
 20612, used in the pyramid as 113-f- to 355-[-, but in the
 
 68 British Long and Land Measures. § 34. 
 
 Bible it is used as 113 to 355, whether as exhibiting 
 this relation purely, or as implying a decimal, or both, 
 is not as yet known with perfect accuracy of determina- 
 tion. 
 
 The god-name Elohim^ or D\l7K, has the radicals El, 
 7^(, as the stem masculine, with an //, or H, giving 2^ fem- 
 inine quality attached, thus : El-h, ^■7^{. The numerical 
 value of 7{< added is the greatly esteemed kabbalistic value, 
 or number, 31. The god-name radical is 7X? or 31 ; but 
 there was appended to it a terminative letter h, or il, to, as 
 it were, finish out its meaning or scope, thus : n"*?}< or El-h. 
 Both words were the proper expression of the god-name 
 prior to that of 'Jehovah. The root, or nucleus, numerical 
 value for El, being 31, with the letter ^, or 5, added, it 
 became 36, or 6^ the unit square referred to above. The 
 36 showed the system to which reference was indicated by 
 the number value, while the value of the first radical, or 
 31, was a DIFFERENTIAL, uscd as a fiux between that sys- 
 tem and aiiother, with which it was essentially connected. 
 
 The circular elements rediscovered by John A. Parker 
 were those on which time and earth extension values were 
 in nature based. Time values, and their relation to earth 
 extension values, seem to have been marked out through 
 a system of measures founded on the number 6, and 6x6. 
 It has just been shown how such a system involves and co- 
 ordinates time and earth extension values. Now, Mr. 
 Parker, to obtain time values, reduces circular to solar 
 time, through the intermediation of a unit of solar time 
 value, viz., 5i84CX)o'", which, as seen, is that value which 
 will evenly divide in the numerical mile value of 5280, or 
 rather of the acre value composing it, and which connects 
 time with British long and land measures, as shown. Mr. 
 Parker's time value circular is based on the area value of 
 the circle inscribed in the square, which has been shown 
 to be 5153. He uses it as 5153000'", and thus, as a perfect 
 abstract circular value, contrasts it with the natural cir- 
 cular, or solar day value of 5184000"'. The connecting
 
 § 35- Curious Chain of Linked Values. 69 
 
 link between the two systems of value, or rather one such, 
 is the difference between the two, and 
 
 5184 — 5153 = 31; 
 and 31 is the radical god-word EL But to El, or 31, add 
 the other radical, or ^, or 5, and we have El-h, or 36, 
 which indicates some system of use, founded on the factor 6. 
 Again, take the limits of the British measures, as shown, 
 viz. : 
 
 144 and 5184. 
 Deduct from these values that of EU or 31, and there re- 
 sults 
 
 144 — 31 = 113, and 5184—31=5153: 
 where one remainder is a pyramid and Bible value of 
 diameter to circumference, or 113 to 355, and another is 
 the area of the circle inscribed in the square of 6561, and 
 at the same time is the value of a circular day in contrast 
 with that of a solar day. And this shows the use of this 
 diffcre7itial, as fluxing, or welding, time and earth meas- 
 ures, through plane and circular foundations. 
 
 Note to Chapter II. 
 
 TABLE SHOWING A LINKING TOGETHER OF VALUES OF APPAR- 
 ENTLY INCONGRUOUS SUBJECTS MATTER. 
 
 (§ 35.) This table, while given as a curiosity, because a regu- 
 larly formed system of use can not be derived from it, is, never- 
 theless, believed to be of value as the hint of a well-founded sys- 
 tem anciently made use of to correlate, or co-ordinate all sorts of 
 measure. 
 
 (i.) Diameter of circle, 113; circumference of same, 355; 
 113 being aish or man, and 355 being shanah, or lunar year. 
 
 (2.) As to the ancient Greeks, Seyffarth, in his " Chronology," 
 page 163, quotes as follows : " Theodorus Gaza (Petavii Ura- 
 nology, c. 9), says expressly that the ancient Greeks had for their 
 religious festivals, a lunar year of 354 days, but for the civil life, 
 a solar year consisting of 12 months of 30 days each, with 5, and 
 in leap years with 6, intercalary days. The same is affirmed by 
 Censorinus." See, also, page 168 et seq. of same, as to the He- 
 brews. The same statements hold good as to the Egyptians and 
 the Hebrews. Agreeably with this, take the ancient scale of time
 
 I 
 
 70 Note to Chapter II. § 35. 
 
 C-^) 355 (P-) 360 (c.) 365 
 
 ^^■) 355 — I = 354 (^O 359 (/) 3^5 — i = 3%' 
 
 where on 355 the shanaJi^ ox year word of the Hebrews, the in- 
 tercalation of 5 days makes the year of 360 days (equal to the 
 celestial circle of 360 degrees, and the earth geographical circle 
 of 360 degrees ; also, the square of 6 as a factor) ; and the inter- 
 calation of 5 days on this makes the full solar vague year of 365 
 days. It will be observed, that by this arrangement the year of 
 360 stands as at the mea^i value between the two extremes 355 
 and 365 ; the first being an abstract value of circumference to 
 diameter, while the last is the solar year time circle in natural 
 periods of days. The ancient method of display of the year cir- 
 cle was of a serpetit swallowing one or more units of its length : 
 so, under this form, 
 
 355—1=354 359 3^5 — 1=3%» 
 
 by the reduction of one unit the first scale is made to show the 
 
 lunar years, viz, 354 days, which was the number of days of the 
 lunar year amo7ig all the ajzcients, and 364 days which was the 
 luni-solar year springing from the number 7 [§ 90, § 92 («)], (and 
 here perhaps, is an indication of a numerical use in " J-ared" as 
 to Enoch, who lived 365 years, for both "j*)^ and T^X' ^<Jded as 
 to the character values, give the number 7). Thus it is seen that 
 the form 113 to 355, is made the base of a scheme of, and is 
 linked in onto a method of time admeasurements of two kinds. 
 
 (3.) In the Hebrew Bible there seems to bean undoubted con- 
 nection between 113 : 355, and 6561 : 20612. Taking the last 
 as the standard, then 
 
 6561 : 20612 :: 113 : 355.0001-j-; 
 
 showing the variation on 355 to make this proportion good. How 
 these values were worked to bring out intended results is but con- 
 jectural, but in a measure, some of the uses shown are probably 
 closely near the proper object. Now, in addition to the above 
 forms, take the words aish, man, =;, numerically, 113, and 
 Adam, man, =, numerically, 144; which words are thought to 
 be but conditions of each other, — ^then 
 
 113 '• 355-OOOI + 
 56-5 : ^11-5^ 
 113 : 3550001 + 
 
 144 : 453.3S93-f- 
 72 ; 226. 1946-j- 
 36 : 113.0973-f- 
 
 where now 113 from a diameter value becomes, by a slight en- 
 largement, a circumference value to the form 6 X 6 = 36. (A pre- 
 cisely same use is worked on 6561 : 20612 in pyramid construc- 
 tion.)
 
 § 35- Curious Chain of Linked Values. 71 
 
 And so here we see a shifting of use of 113 from a diameter 
 value of 355, as founding a year time scale, to a circumference 
 value of the factor value 6 X 6 = 36, the base of the time and geo- 
 graphical measuring circles. And here again, in 36, the British 
 land measures are linked to the Hebrew uses of 113 to 355- 
 
 (As another variation on this, 
 
 355 : 113 :: H4 = 45-S3 '■ '440 = 45S-3 
 
 720 : 229. iS-}- 
 
 360 : 114.59+) 
 
 Now, these values as shown are made use of in the Bible, and in 
 the pyramid. 
 
 (4.) Take the limits of the British long and land measures, 
 viz : 
 
 (a.) 144 (d.) 51S4; 
 
 where 51S4 is the characteristic of one solar day in thirds^ and 
 springs from 144 as being the number of square inches in 4 square 
 yards, and 51 84 X 121 = the limit factor of the acre. The Hebrew 
 god -word, El^ oi' 3I5 gives this value of 31 as a difference value, 
 or link, running into two systems ; for subtracting it from («.) and 
 ((5.), and there results, 
 
 (c.) 113 id?) 5153; 
 
 where, by the use of the differential El^ or 31, the diameter 
 value 1 13 is linked on to the English measures, and in such a way 
 that at tJie sufne time 5153 is produced. Now, while 113 is the 
 diameter value to a circumference of 355, 5153 is the value of the 
 area of a circle inscribed in a square, whose area is 6561. Here 
 there is introduction to 
 
 The Parker forms. 
 (5) ('^■) Area of square, 6561. 
 
 ((5.) Area of inscribed circle, 5153. 
 (c.) Diameter of circle, 6561. 
 ((/.) Circumference of same, 5153 X 4=20612. 
 On these values construct the formulations of Mr. Parker, as 
 of his three revolving bodies : 
 
 (lO (2.) (3-) 
 
 20612^ 27482.6-f-\ 3664355 
 
 X - = , and this X - = 
 
 3 \ 3 
 
 6561! 8748. / 11664-, 
 
 where we come to the pyramid value, for, 36643. 55 is in inches 
 the standard measure of the circumference of its base, and 
 1 1664 -f- 2 = in inches its standard height.
 
 72 Note to Chapter II. § 35. 
 
 In (2.), 27482.66, as a circumference, equals the value of a lu- 
 nation, as shown by Mr. Parker as 27.48266-I- days^ to the diam- 
 eter value of 874S. Now, i acre of 5280 blocks of 6 X 6 lon^, 
 by 33 blocks of 6 X 6 wide, equals a length, or number, numer- 
 ically, of one niile^ and equals in area 627264 — o inches. 
 
 627264 -:- 6 X 6 =:: 1 7424. 
 
 17424-^2 :^ 8712. 
 
 (Also, 627264 -^- 121 =5184, the solar day value.) The object is 
 
 to compare this 8712 the even division of, or — of, an acre, in 
 
 blocks of 6 X 6, with 8748, the diameter, as shown, of a lunation, 
 
 springing as it does from the Parker form. 
 
 While the use of the god- word El^ or 31, as a differential^ has 
 
 been made above, the full god-word El-h^ or 36, can now be 
 
 used as one also, for 
 
 8712") (242 
 
 C--6X6 = -^ 
 8748 3 ( 243 
 
 and 
 
 8748 — 8712 = 36: 
 
 that is, 36 is the differential by which the Parker forms for time, 
 based on the relation of diameter to circumference of a circle, 
 can be fluxed into the British measures (in square inches) of the 
 acre value, which carries with it the numerical value of the mile 
 as shown. 6 X 6, or 36, the value of the celestial circle, thus be- 
 comes the differential of a raised value of these quantities. 
 
 (6.) But 243 is equal, numerically, to the half the standard 
 height of the great pyi:amid in British feet, and on a reduced 
 scale is found as a measure of height of the queen's chamber. 
 There is little doubt but that the relation 242 is taken into com- 
 parative account, also, in the pyramid structure ; if so, this very 
 relation of differential comparison is a pyramid one. 242 is a 
 valuable number in another way, for 5184, the characteristic value 
 
 of a solar day X 121 (or — ) =627264, in inches the — part 
 
 of the area of one acre. This shows, that while 243, the pyra- 
 mid height, as above, is adjustable with 8748 for divisions of 
 lunar circles, 243 less one (of a value of 36 for the ci;z<?), or 242, 
 is adjustable with the characteristic of a solar day value, to obtain 
 the area of the acre in square inches. 
 
 The circumference of 8748 as a diameter value, or 27482. 66-|-, 
 is used in a most remarkable way in the pyramid, to show a com-
 
 § 35- Curious Chain of Linked Values. 73 
 
 parison between lunar and solar time. Here its diameter, or 
 8748, affords a means of contrast with a terminal land measure, 
 for, 
 
 242 X 6 X 6 = 871 2, and this -f- 36 = 243 X 6 X 6, or 8748. 
 
 (7.) Now, 
 
 27482.66) 3664355 
 
 X^ = 
 3 
 8748. / II 664, 
 
 giving as a result the standard measures of the pyramid ; and 
 treating 8748 and 8712 alike, 
 
 8748 i 1 1 664 
 
 871: 
 
 and 1 1664 — 11616= the differential 48. The height of 
 the pyramid is to twice its base side as diameter to cir- 
 cumference of a circle. By the enlargement on the standard, 
 as will be shown, ^ base side is 381.974-I- feet, or a diameter 
 value to a circumference of 1200. Twice the base side, then, is a 
 diameter to a circumference of 4800; and, as shown, 48, the 
 
 — part of this, is the differential between a system of time 
 100 ^ -^ 
 
 values, and a system of land measure values, objectively resting 
 
 on the acre value, shaped for the formation of a mile, as in blocks 
 
 of 6 X 6, giving the 5280, or mile numerical value in feet, in the 
 
 length of one side, in blocks of 6 X 6 inches. 
 
 Thus, there has been shown a curious method of linking to- 
 
 getlier of the relations 
 
 113 to 355, 
 
 6561 to 20612, 
 
 355 360 365. 
 
 while all are applicable in use, as exhibited in the measures of 
 the great pyramid.
 
 74 Construction of the Great Pyramid. § 26. 
 
 CHAPTER III. 
 
 SECTION I. 
 INTRODUCTION TO THE CONSTRUCTION OF THE GREAT PYRAMID. 
 
 (§ 26-) To a mind unbiased by the prepossession of a 
 theory that way, the assertion that the great pyramid of 
 Egypt was built to perpetuate a series of measures, astro- 
 nomical and otherwise, and to contain a mathematical and 
 geometrical system of calculation and admeasurement, can 
 not but be received with incredulity, and rightly so. Given 
 a great number of pyramids in a land, the uses of which 
 were notoriously for sepulchral purposes, and a rule is es- 
 tablished applying to all, unless proof to the contrary can 
 be made as to any one or more isolated exceptions. But, 
 taking the affirmative of the issue, then as to reconstruc- 
 tion ; given a pyramidal mass, utterly destroyed as to its 
 exterior surface, save the corner base sockets, and a casing 
 stone in situ, with the connection of the exterior with the 
 construction of the interior lines seriously impaired, to be 
 restored in an original measure, which has been lost. 
 None but proof of an extraordinary kind as to ability to re- 
 construct, after the mental conception of what the architect 
 intended to represent, ought to become, or will become, ac- 
 ceptable. Tiiis is especially the case where the time of the 
 building of the mass dates back beyond what may be called 
 the historic age, and where every theory advanced must 
 rest for support upon its own intrinsic merit, unsupported 
 by positive evidence of any kind filtering through the his- 
 torical channels of the world. 
 
 Where a question of measure is concerned, it will not do 
 to cut and carve a mass, so as to fit it to such a measure, 
 particularly adopted on supposition ; nor will it do, as oc- 
 casion requires, to change the value of the adopted standard
 
 § 37* Introduction. 75 
 
 to suit a stubbornly resisting condition of the mass. It is 
 true that this method is the one to be employed in arriving 
 at a possibility, or probability, as a theory ; but, this accom- 
 plished, the further step is required of eliminating all 
 theory, and all probability, and all possibility, leaving a 
 standard of measure as fixed and rigid, for instance, as is the 
 British inch. As a sequence to this, the restoration of the 
 mass is to be made in terms and divisions of this measure. 
 Subject to these considerations, and they seem to be fair 
 and pertinent, if a standard of measure can be arrived at, 
 as a rigid and fixed one, derivable from an elemental 
 source, by use of which a structure can be erected, as to 
 its whole and most of its parts, similar to that of the great 
 pyramid in its geometrical shapes, and in such manner that 
 the evidence is convincing that the actual measure of its 
 original construction is being used, then, indeed, the rec- 
 ognition of that standard, its source, and its use in that 
 connection, it is thought, should be conceded, even though 
 the particularities of the method of use may not be certain. 
 (§ 37-) ^^ is seen that from the elements of quadrature 
 of Mr. Parker is to be derived the ancient Egyptian cubit 
 value, and that in terms of the British inch andybot values. 
 Of the two most important recoveries of the Egyptian value, 
 viz., those of Professor Seyffarth and of Sir Isaac Newton, 
 that of the last named was, as has been said, derived from 
 admeasurements taken by Professor Greaves, of Oxford, 
 from the interior work of the pyramid. The conclusion 
 was that that measure had been used in the building of the 
 structure. If, from the elements of Mr. Parker, — from 
 whence the value, and reason of the value, of that same 
 cubit measure is seen to be derived, — the pyramid structure, 
 with the chief outlines of its interior works, can be re- 
 stored, with a manifest reason why it was built, — this 
 reason why being an essential in these very elements, — it 
 will not only be a proof that the cubit value thence derived 
 was the cubit value, but also that these were the elements 
 whence it took its rise. Still further, if it should happen 
 that such a restoration of the pyramid answers to the Brit-
 
 *]6 Construction of the Great Pyramid. § 38. 
 
 ish measures, in inches and feet, of that structure, then it 
 would seem almost impossible for even exacting criticism 
 to charge upon such a complicated series of correspondences 
 the escape of coincidence. 
 
 (§ 38.) Professor Piazzi Smyth has given to the world 
 a mass of measures of this structure. He was laboriously, 
 and even painfully, careful in their taking, on a measure ad- 
 justed to the British standard at Edinburgh, even to the bal- 
 ancing and dwelling upon tenths and sovnQixmQs htmdredths 
 of inches. He had found such discrepancies in the measures 
 of the multitudes of those who had preceded him, that he 
 was prepared beforehand for his work. Besides, he desired 
 to discover who of those others had done their work well. 
 Of those wlio had preceded him, he found the measures 
 of Col. Howard Vyse, of the French savants, and of 
 Professor Greaves, exact and reliable. 
 
 (§ 39.) There are four points to be taken into considera- 
 tion, and which should always be had in mind in this mat- 
 ter, viz : 
 
 {a.) That it is next to impossible to have measuring in- 
 struments alike, though taken from a same standard ; and 
 it is almost impossible that, even though having the same 
 measures, their uses will bring out the same results. Dis- 
 crepancies are liable, from these causes, to show them- 
 selves in tenths of inches, and even more, where lengths 
 of thirty or more feet are taken. No one will better ap- 
 preciate this statement than Professor Smyth. 
 
 {b.) Professor Smyth says most truly, in relation to the 
 pyramid structure : 
 
 " The differences amongst our own results are partly due to 
 dilapidation effects, but are partly dependent, also, on variations 
 introduced by the builders, or actual errors in their work, as where 
 the breadth of the grand gallery varies in different parts of its length 
 irregularly, anywhere between 81.7 and 83.0 inches. Another 
 source of error is more uncertain, as where two parts taken b}' 
 Sir Isaac Newton, and most other writers, as certainly intended 
 to be the same in measure, are found to be positively different. 
 An example of this is presented in the breadth and height of the 
 ramps, assumed by Sir Isaac to be equal, but found by my meas-
 
 § 40. Construction of the Great Pyramid. 77 
 
 ures to be (on the mean of a number of places, but nowhere uni- 
 formly) nearly an inch different, without a probable uncertainty 
 of more than 1 — 10 inches." 
 
 (c.) In long distances, in great masses of mason-work, it 
 is absolutely impossible to practically obey, by reason of 
 jointing, the mathematical exactitudes of the architect. 
 
 id.) Professor Smyth found a very curious feature as to 
 lengths of passage-ways, the proportions of the king's 
 chamber, and of the coft'er therein. He also infers the 
 same as to the grand outlines of the pyramid base. It is : 
 (i.) That a passage-way may present two lengths, the east 
 side, say, being longer, or shorter, than the west side. 
 (2.) That, compared with a perfect cubical chamber, the 
 king's (and queen's) chamber is out of shape, or askew. 
 (3.) The same happens as to the coffer. Very many cir- 
 cumstances connected with these irregularities of admeas- 
 urements would seem to point them as purposed, so that 
 the differences between the measures of a standard cubical 
 chamber, or coffer, and these as they are, served to give 
 some derived result as the working out of a problem ; or 
 else that a purposed variation in height or breadth might 
 be intended to satisfy, in fact, two sets of measures differ- 
 ing from each other by some very slight quantity. 
 
 SECTION II. 
 
 STANDARD MEASURES OF THE PYRAMID. ENLARGEMENT ON THE 
 SAME, WITH THE REASONS WHY. THE STANDARD AND EX- 
 ACT, OR ENLARGED, MEASURES OF THE KING'S CHAMBER. 
 
 Standard Afeasures of the Pyramid. 
 
 (§40.) As to the objects of construction of the great 
 pyramid of Egypt : {a.) One may be taken as astronomi- 
 cal, from the facts, that the north base side of the structure 
 coincides with the parallel of 30° north latitude, and that 
 the mass, as to its sides, evidenced by its corner socket
 
 78 Construction of the Great Pyramid. §41. 
 
 lines, is oriented as perfectly as could be expected of 
 human ability, (d.) Another may be taken as geometrical. 
 It was considered by the Rev. Mr. Taylor, who had made 
 this structure a study (see " Our Inheritance in the Great 
 Pyramid," by P. Smyth, prior to his " Life and Works"), that 
 it was so built that its height should be to one-half its cir- 
 cumference as diameter to circumference of a circle. Pro- 
 fessor Smyth shows that approximately this was the fact. 
 Upon carefully taken measures, linear and angular, and 
 upon computation, he comes to the result that the structure 
 was — 
 
 In height, 486 feet, 2 inches ; 
 
 And that its base side was, by the 
 measures of Col. Howard Vyse, in 
 length, 764 feet; 
 
 And, by the measures of the French 
 
 62 
 Corfs. 763 feet. 
 
 (§ 41.)^ Take, as the result of Mr. Parker's problem of 
 three revolving bodies, his formula for obtaining the sun's 
 time, or rather the time of the earth about the sun. It is — 
 
 4*4 
 (i.) 20612 X -=27482.66+, and this X - = 36643.55+; 
 
 in which the last term, being the direct product from 20612, 
 or value of circumference, pointed at '^66, is, as Mr. Par- 
 ker says, " the exact value of the passage of the earth 
 around the sun, over one complete circle in space, in cir- 
 cular days." The diameters to correspond with this formula 
 
 are — 
 
 4 4 
 
 (2.) 6561 X - = 8748, and this X -= 11664. 
 
 Let it be remembered that, though this formula is taking 
 the part of time values, it nevertheless is also in the value 
 of British inches. 
 
 Take the two results and divide them by 12, thus reduc- 
 ing them to feet — 
 
 (3.) 11664 ^ C 972 feet for diameter. 
 
 > -^ 12 = ^ [ence. 
 
 36643.55+ ) ( 3053-629+ feet for circumfer
 
 § 4i« Standard Measures of the Same. 79 
 
 Then 972 -f- 2 will give the height as radius, and 3053.629-f- 
 wiil be the circumference of base equal to the circumfer- 
 ence of a circle to a radius of that height ; or 486 will be 
 the diameter value to twice the side of base, or to 
 
 3053.629 
 
 — = 763.407 X 2 = 1526. 8144- feet, taken as cir- 
 
 4 
 cumference of a circle. These are the proportions corre- 
 sponding to those of the great pyramid. 
 This division gives — 
 
 (4.) For height, 486 feet. 
 
 407-}- 
 For base side, 763. feet. 
 
 Compare these with Professor Smyth's results in British 
 
 values, viz : 
 
 (5.) For height, 486 feet, 2 inches. 
 
 62 
 For base side (French measure), 763. feet. 
 
 Hence, the great pyramid exhibits itself as one not only 
 monumenting a method of quadrature, the elements of 
 which we possess, but also a measure of the sun^s time, and 
 also the British inch and foot values. On the premises 
 and conclusion, then, the Parker elements seem, by a very 
 strong showing, to have been known and used in the build- 
 ing of this structure. The worth of having a unit of meas- 
 ure, common for the expression of different kinds of value, 
 is also apparent ; for here astronomical and geometrical 
 values are, by means of the common mason's measure in 
 inches and feet, built into a stone book. It is thought that 
 the idea is practically carried out in details, passing from 
 more generalized to and through complex calculations ; 
 evidenced by the chamber, coffer, and other fine work of 
 the interior. Even color may be used to classify or qualify 
 the kinds of measure intended. 
 
 The formula in (3), viz : 
 
 11664 ^ ( 972 
 
 36643.54- S X 3053-629 
 
 is the same as —
 
 8o Construction of the Great Pyramid. §42. 
 
 (6.) 6561 > x6 ( , 
 
 V X — = \ t"6 same ; 
 20612 ) ^08 I 
 
 where use is made of the origiricil Parker elements. . 
 
 It may be taken, then, as determined, that this pyramid 
 structure was planned in the measure of reductions irom 
 the Parker elements, and that they are the standard meas- 
 ures employed in its entire building, whether in mass or 
 detail, subject to variatiofis on these standards, in the 
 working out of the various problems contained in the whole, 
 and various parts. 
 
 Standard Measures of the King's Chamber. 
 
 (§42.) Take, as one set of derivations in detail, the 
 dimensions of the King's chamber — 
 
 (i.) 206.12 inches -^ 12 = 10 cubits, or 17.1766+ feet. 
 (2.) 17.1766+ feet X 2 = 20 cubits, or 34.3533+ feet. 
 
 17280 
 (3.) 20612 -4- -^, or 
 
 \ = 1Q.08S1+ feet ; 
 10 I y ^ 
 
 34-3533 X ^ 
 
 which measures, agreeably to the conditions, are the meas- 
 ures, taken at the standard, of the King's chamber; (i) or 
 17.1766+, being standard breadth, (2) or 34-3533 + , being 
 standard length, and (3) or 19.0851 + , being the standard 
 height, all in British feet ; subject to variations therefrom 
 for special purposes, as will be shown. The measures of 
 this chamber, as given by Professor Smyth, are — 
 
 Breadih, i7-i9 feet, 
 
 Length, 34.38 " 
 
 Height, from 19. i > 
 
 to 19.179 feet. > 
 (As to height. Professor Smyth gives his measures 19. i to 
 19.179, with allowance, or as conjectural, because of the 
 broken state of the floor when he took them. '■^ Floor 
 broken up thus since the measures of Col. Howard Vysc.^' 
 His measure for height was 19. i feet.)
 
 § 44* Measures by Enlargement on Standard. 8i 
 
 Actual Pyramid Measures, as Enlargements on the Stand- 
 ard, with the Reason for the Variation. 
 
 (§ 43.) The following is a method of variation on the 
 standard measures as given ; and one which seemingly 
 controls the entire pyramid structure. The Parker ele- 
 ments are 20612 to 6561. The cubit value is 20.612 -f- 12 
 = 1.71766+ feet; and 10 cubits are 17.1766+ feet. If the 
 value of diameter 6561 taken as feet, be divided by 
 17.1766+, or the measure of 10 cubits, thus derived, the 
 quotient will be 381.97166+ feet. This method is given 
 for its results in the actual measure desired. 
 
 This, in effect, is the same as the division, or quotient, of 
 diameter value of 6561 by circumference value, or 20612, 
 under a formulation to obtain a diameter value to a circum- 
 ference of unity, thus : 
 
 (i.) 20612 : 6561 : : i : .3183097 + , and, 
 
 (2.) 31.83097x12 = 381.97166+, 
 
 and this X 2 = 763.94333. 
 
 The effect is a very curious one. Take the following : 
 
 (3.) 20612 X^= 36643.55-^-48 =763.407+, 
 
 where the standard base side is obtained from the primary 
 circumference value. By (i.), 3183097 is 3. diameter Ydlue, 
 and raising it as shown, it becomes 763.94333, being al- 
 most the same by comparison. Then, working in circum- 
 ference values, the standard pyramid measures are found ; 
 working in diameter values, the exactitude comes by the 
 enlarganent. Referred to a primary principle. 
 
 Original circumference \Si 20612. 
 
 Changing to diameter value, it becomes 20626.47001 + . 
 
 (§ 44.) The standard measure of the side of the pyra- 
 mid in (§ 41) (4), was 763.4074+ feet. The half of this 
 is 381.7037+ feet. Compare this value with that obtained 
 by the method of variation shown in (§ 43) ; 
 (i.) Standard^ 381.7037 + 
 Variation, 381.9716 + . 
 This last multiplied by 2 = 763.94333+ feet for the side of
 
 82 Construction of the Great Pyramid. §46. 
 
 base of pyramid, instead of 763.4074+ feet; and let it be 
 assumed that this was, in fact, a variation taken on the 
 standard measure, yet one growing out of the Parker ele- 
 ments. 
 
 Taking the base side at 763.94333+ feet, the proportion- 
 ate height of the mass would be, 
 
 (2.) 486.341+ feet, 
 instead of 486 feet as by the standard. 
 
 (§ 45.) This measure of the pyramid's base agrees with 
 that taken by Col. Howard Vyse, as follows : 
 Vyse, 764.000 feet, 
 
 Above, 763-943+ » " 
 
 Difference, .056+, " 
 
 or, to within less than one inch in 9168 inches. 
 
 This Variation of Enlargement A^^lied to Ascertain 
 the Measures of the King's Chamber. 
 
 (§ 46.) If this variation on the standard be applied, for 
 the admeasurements of the king's chamber, to ascertain 
 the enlargements on the standard, there will result, as a 
 base of estimate (§ 43), 206.2647001+ as the enlargement 
 on the Parker circumference of 206.12 ; and, 
 
 (i.) 206.2647-^12 = 17.1887+ 
 as the enlarged width of the king's chamber ; 
 
 (2.) 17.1887 X 2 = 34.37745 + 
 as the enlarged length of same ; and, 
 
 (3.) 34-3774 X ^g = 19.0985 + , 
 
 as the enlarged height of same. 
 
 Or, comparing these with the aetual measures taken 
 (§ 42), as above, there results : 
 
 (4.) Actual measured breadth, 17-19 feet. 
 
 As above, 17.1887 ♦' 
 
 Difference, — ^ of a foot, .0013 '* 
 1 0000
 
 § 47 Measures by Enlargement on Standard. S^ 
 
 (5.) Actual measured length, 34-38 feet. 
 As above, 34-3774 " 
 
 26 
 
 DifFerence of a foot, .0026 " 
 
 1 0000 
 
 (6.) Actual measured height, 19.100 feet. 
 As above, 19.09854- " 
 
 Difference, ^ of a foot, .0015 " 
 
 1 0000 
 
 or, literall}^ the difference has become so inappreciable 
 that there is no method of ascertainment as to what the cor- , J- qjJ 
 rect admeasurement is, by any practicable test of actual 
 measure. //, hozucver, a lazv can be ascertained, which 
 will in its fulfillment demand the use of these variations on 
 the standard, then thev should be considered as data cor- 
 rectly taken. There is such a laiv ; and its demands as to 
 their nature coincide with the spirit or genius of the pyra- 
 mid structure, as a measure of time. 
 
 Eminciation of the Law. 
 
 (§ 47.) The very great value of the number 6 as a fac- 
 tor, is at once recognized in the base of the British long 
 and land measures, and also in the construction of the 
 celestial time circle. That circle is of the value of 360° ; 
 it is divided into minutes, seconds, thirds, etc., in the scale 
 of 60'= 1°, 60" = i', 60'"= i", and so on. This circle is 
 subject to another division, as applied geographically to the 
 earth, where 36o°-^24 = i5° to the hour of longitude, 
 where 24 is also a multiple of 6, as 6 X 4 — 24, and where 
 each degree = 69+ miles British. The primary division 
 of this circle is on the base of 6 parts, subdivided for each 
 part into 3600 parts, or 6 X 3600 = 21600' ; or, 360° x 60' 
 ==21600'. 
 
 Now, by the variation on the Parker elements (stand- 
 ard), worked out, as seen, through the simple use of the 
 elements themselves, the result is obtained of a diam- 
 eter value, (by change on a circumference value), of 
 1909854- [§ 46, (3)].
 
 84 Construction of the Great Pyramid. § 47 
 
 This factor 6, which is of such great value, is not taken 
 empirically , merely because it proves to be of such great 
 practical use in the admeasurement and subdivision of time 
 periods or land measuring rests, or stops, hut it is a legiti- 
 mate circumference value, derivable from this variation 
 on the standard Parker elements of diameter and circum- 
 ference, for — 
 
 (i.) 6561 : 20612 :: 381.97166 : 1200 :: 190.985 + 
 
 : 600 : : 1.90985 : 6 ; 
 
 6561 
 where the reduction from ^ = 3183094- X 12 = 
 
 38197166, or — .. = 381.97166, divided by 2 = 190.985, 
 
 becomes the diameter value of a circumference of 600; or, 
 1.90985 becomes the diameter value of a circumference of 
 6 ; and this properly, and rightly, and exactly, belongs to 
 jthe use of the Parker elements : so, this height of the 
 kinc's chamber is diameter to a circumference of 60. See 
 the play of change! The Parker circumference 20612, 
 changed to a diameter value by variation, gave the exacti- 
 tudes of measure of the pyramid in diameter for circum- 
 ference terms. Among these is the height of the king's 
 chamber, which now turns out to be a means of re-getting 
 an integral circumference value, in the number 6, or 60. 
 The obtaining of this end scans to be the law of pyramid 
 actual construction. 
 
 216 6^ , . r 
 
 (2.) 19.0985+ mches X — , or — , = ^12. $2g^-\- inches, 
 
 which equals the length of the king's chamber in inches, 
 as the enlargement or variation on the standard ; and, 
 
 (3.) 6561 : 20612 :: 412.5294+ : 1296; 
 or, there results, the length of the king's chamber, in in- 
 ches, as a diameter value, proportioned to the number 
 of inches in the square yard British, as a circumference; 
 and it is well to reflect that 1296 X 4 = 5184, the charac- 
 teristic value of one solar day reduced to thirds. 
 
 4i2t;Q.24 : 120600 ^ ^ 
 
 (4.) \ = 6875.48+ : 21600,
 
 § 48- Law of Enlargement on the Standard. 85 
 
 and, 
 
 6875.48 : 21600 
 (5-) 360 = 19-0985 ' 60; 
 
 where the celestial, or geographical earth, circle of (6 X 
 60, or) 360° X 60', equals 21600' of division, in terms for 
 circumference to height of the king's chamber as diameter. 
 This, as a foundation, embraces all the time subdivisions 
 of that circle into hours (24 equal to i solar day of 
 
 /i44\ ^ 
 
 (— j X 1000 = 5184000'", as well as the distance divis- 
 ions of the circumference of the earth in miles to the de- 
 gree), minutes, ov p7-i)]ics, seconds, and thirds. 
 
 So, also, as to the width of the king's chamber. 
 
 (6.) 6561 : 20612 : : 206. 264 -f inches : 648 inches. 
 
 So the law of construction of the pyramid is assumed to 
 have been found on this showing. 
 
 Note, that the base side of the pyramid, by actual measure, 
 being thus shown to be a diameter of 763.943-}- to a circumfer- 
 ence of 2400 feet, this is 24 X 100, and 34 is four times the fac- 
 tor 6. The base of the pyramid, then, would be co-ordinately 
 represented b}' a square of 24, or. 6X4= 24, to the side ; and 
 this is the Garden of Eden form : and, also, it is the square 
 Hebrew Zodiac of the 12 months. 
 
 The Discovery of this Law. 
 
 (§ 48.) The discovery of this law, and of its applica_ 
 tion, arose from a suggestion of thought on reading a pas- 
 sage in the '■'■Historical View of the Hindu Astronomy ,^'' by 
 Mr. John Bentley. It is almost evident that one intention 
 of the architect of the pyramid, has been exactly repro- 
 duced in the use of a numerical system ; and this accom- 
 plishment is but the going back to the original sources of 
 the numerical instrumentalities which are in use to-day. 
 Considering the value of this discovery, it is appropriate to 
 give the original notes made on the subject, as follows 
 ( premising, however, that the author had before this obtained 
 the numerical value of the enlargement on the standard,
 
 86 Construction of the Great Pyramid. § 48 
 
 and had made use and mention of it in Ancient of Days, 
 without knowing, or seeing its application) : 
 
 "A very remarkable blending of all these systems can be 
 given, arising from the actual method used by the Hindus, 
 for the calculations of sines, tangents, cosines, cotangents, 
 etc., which belongs to their most ancientsystem of astronomi- 
 cal calculations. This method is given by Mr. John Bent- 
 ley, in his '■'' Historical View of the Hindti Astronomy" 
 (sec. 3, page 156). He is giving the various values for 
 the computations of the value of tt, one after the other, 
 until coming to one very nearly approximating the true re- 
 lation, he says : 
 
 " But Argabhatta, in the 17th chapter, in speaking of the orbits 
 of the planets, gives us a nearer approach to the truth ; for he 
 there states the proportion as 191 to 600, or as i : 3.14136, which 
 gives the circumference a small matter less than the proportion of 
 Bhaskara in the Lilavati. This, however, is not the invention of 
 Argabhatta ; for it is employed in the Brahma Siddhanta, Surga 
 Siddhanta, and by all the astronomers before the time of Arga- 
 bhatta, as well as since, for computing the tables of sines, etc., 
 though not immediately apparent. Thus, in computing the sines, 
 they take the i^adius at 3438', and the circumference they divide 
 into 21600' ; the diameter is therefore 6S76 : hence the proportion 
 is 6S76 : 21600. Reduce these numbers to their last terms by divid- 
 ing them by 36, the result will be 191 : 600, as stated by Arga- 
 bhatta." 
 
 "Mr. Bentley was greatly familiar with the Hindu astro- 
 nomical and mathematical knowledge ; not as a foreigner 
 studving the reach of a nation in such matters, but as a 
 resident in Hindostan of some fifty years. This statement 
 of his may, then, be taken as authentic. The same re- 
 markable trait, among so many Eastern and ancient nations, 
 of sedulousl}^ concealing the arcana of this kind of knowl- 
 edge, is a marked one among the Hindus. That which 
 was given out to be popularly taught, and to be exposed to 
 popular inspection, was but the approximate of a more ex- 
 act but hidden knowledge. And this very formulation of 
 Mr. Bentley will strangely exemplify the assertion ; and, 
 explained, will show that it was derived from a system ex- 
 act beyond the European one, in which Mr. Bentley him-
 
 § 48- Law of Enlargement on the Standard. 87 
 
 self, of course, trusted, as far in advance of the Hindu 
 knowledge, at any time, in any generation. 
 
 " Tliis formulation is the taking of a radius of 3438 to 
 obtain a circumference to be divided into 21600 equal parts. 
 The diameter would be 6876, and the reduction of this by 
 36 would be 191. 216 is 6^, or, 36 X 6, which shows use 
 of a system founded on a multiple of which 6 is the basic 
 factor. 3438 is an exceedingly near approach to a pure 
 circumference value ; which goes to show, as it is used as 
 a radius, that which has been so observable heretofore of 
 the expression of diameter, or straight line, values in terms 
 of circumference. 
 
 "Take the reductions of 20612, the Parker circumfer- 
 ence value, that give the dimensions of the king's cham- 
 ber : 
 
 (i.) 20612 -4- 600 — 34.3533+ feet, = standard length. 
 (2.) 20612 -^ 1200 — 17.1766-}- feet, = *' width. 
 
 20612 -;- 1080 \ 
 (3-) 343-533 -^ 18 V= 19.0851+ feet, = standard height. 
 190.851 -f- 10 ) 
 
 " These are the standard measures of these dimensions, 
 for comparison ; or, on which variations are raised in the 
 working out of the various problems for which they were 
 the base. Take it that this Hindu problem involves these 
 measures, and that the system of factoring by 6 is intro- 
 duced, by which with these measures to work out tables of 
 sines, cosines, tangents, cotangents, etc., and for calcula- 
 tions oi ^planetary times, or distances. So (i), perfect cir- 
 cular elements are required ; and (2), the circumference of 
 these elements is to be divided into 21600 equal parts. Can 
 not the Hindu system be traced back to an absolutely per- 
 fect, one, based on the Parker elements? And, at the same 
 time, can not this same Hindu S3'stem be attached through 
 the same Parker elements, by actual measures, to the 
 king's chamber, the passage-way therefrom, and to the 
 ante-chamber works? If this can be done, plainly, and 
 mathematically, it will be an important achievement. 
 
 "Let use of the base of operations be in whole
 
 88 Construction of the Great Pyramid. § 48. 
 
 numbers, viz., 20612, the perfect circumference, in- 
 stead of its fractional derivatives. A perfect radius, in- 
 stead of being, as Mr. Bentley represents that of the Hin- 
 dus, or 3438. 
 is, say, the perfect one of 3435-333+ 
 or, 2061200-^600. The diameter, then, in- 
 stead of being 6876, will be 6870. 66-|- 
 or 4122400 -^ 600. 
 
 "Let Mr. Bentley 's Hindu radius values be tested with 
 the perfect ones — 
 
 (4.) 19.0851 : 34-3533+ '■ 1910 • 3438-oi5 5 
 where standard height of the king's chamber is to its stan- 
 dard length as Mr. Bentley's diameter reduction is to the 
 diameter value he reduces from, 3438, plus the increment, 
 to make up the exactitude, of .015, as seen. Comparison 
 with the standard values of king's chamber measurement 
 is thus made, subject to variations on these for special pur- 
 poses. Howard Vyse's height of the king's chamber z's 
 19. 1, and Professor Smyth's measured length of the same 
 z's 34.38, the very numbers of Mr. Bentley. 
 
 " It is now desired to get a perfect circumference to di- 
 vide into 21600 equal parts, and for trial — 
 
 (5.) 6561 : 20612 : : 41224 : 129509. 0821 ; 
 that is, diameter : circumference : : standard length of 
 king's chamber in one-hundredths of inches : circumfer- 
 ence required. Divide this fourth term by 21600, to see 
 what the value of the subdivided parts will be — 
 (6.) 129509.0821-^21600 = 5.995790; 
 and here, in this result, is evidently to be seen one object 
 of the Hindu system, as to the values taken to get this di- 
 vision, viz., io create a system from a numerical base 0/6, 
 which may be used as a factor throughout the system de- 
 veloped. 
 
 " 21600 is the cube of 6, or 6^ X 100, and here, in the 
 quotient, by the division of 21600 into the circumference value 
 taken, there is obtained 5.99+, or a result with an exceed- 
 ingly near approach to the factor 6, desired as the base of 
 the system. But this base is wanted exactly ; therefore,
 
 § 48. Law of Enlargement on the Standard. 89 
 
 force back a perfect circumference value into an enlarged 
 form, to accommodate to this state. Were this quotient 6, 
 instead of 5.99+5 the dividend would be 1296 (by the way, 
 the number of square inches in the square yard), instead 
 of 1295 + . Carry back, then, with this value, by the pro- 
 portion from the standard of Parker circular elements, and 
 there results — 
 
 (7.) 20612 : 6561 :: 129600 : 41252.94-}-, 
 for the desired diameter value in the fourth term, in 
 hundredths of inches, as an enlargement upon the standard 
 length of the king's chamber measure. Compare this with 
 the standard — 
 
 (8.) Enlarged value, 41252.94 
 
 Standard " 41224 
 
 Difference in hundredths of an inch, 28.94, 
 as a variation on the standard to obtain the desired result. 
 
 (9.) 41252.94-^12 = 3437.74 + 
 is the radius required to complete the object sought ; or, 
 the diameter will be — 
 
 (IO-) 3437-74 X 2 = 6875.48. 
 " x^nd this is taken to be the real radius, and the real 
 diameter belonging to the Hindu system ; which was just 
 sufficiently obscured to cover the real derivation from the 
 perfect elements of the quadrature. 
 
 (11.) The radius given by Mr. Bentley, is 3438.00 
 
 The true one is 3437-74 
 
 The diameter given by Mr. Bentley, is 6876.00 
 
 The true one is 6875.48 
 
 And again : 
 
 ^ ^ 6875.48 : 2i6oo . r. ^ 
 
 (12.) -> gives 190.985+ : 600, 
 
 for, and in place of Mr. Bentley's Hindu proportion of 
 191 : 600. 
 
 " Now, applying these results as a variation on the height 
 and length of the king's chamber, the standard measures 
 are, respectively : 
 
 (13.) 19.0851+ : Z^.Z^Zl-^'
 
 90 Construction of the Great Pyramid. § 48. 
 
 The variations for the purpose stated, give : 
 (14.) 19.0985+ : 34-3774+5 
 while the actual measures made, are : 
 
 (15.) 19. 1 : 34.38; 
 and in mason work of these lengths, the difference between 
 19.0985-I- and 19. 1, and between 34.3774+ and 34.38, in 
 feet, is certainly inappreciable. While this is so, the pur- 
 pose of the Hindu use is also thus shown to be perfectly 
 fitting in measures, to such a use in the pyramid ; and the 
 pyramid work, just here, almost undoubtedly involves cir- 
 cular admeasurements. 
 
 " This slight but proportionate change is made to give 
 a circumference value into which 21600, as 6^ X 100, will 
 divide evenly into subdivision of 6. And thus, and here, 
 and in this manner, is shown the working-in of the system 
 of the division of a circle into 360 equal parts, and further 
 subdivisions, to co-operate, and to co-ordinate, with pure 
 circular measure. 21600 -^ 60 = 360, or 360° of 60' to the 
 degree. 360° -^- 24 hours = 15° to the hour. If the min- 
 utes in 24 hours are taken, or 24 X 60' = 1440', then 1440 
 -^2 = 720', and 720'^ =1518400', and this X 10= numer- 
 ically, and in minutes^ just one solar day in its last subdi- 
 vision of thirds; and in the limits of 144 and 5184, are 
 to be found the peculiar limits of the British square foot, 
 and four times the British square yard of 1296 inches : and 
 the British acre is the only least quantity into which 5184 
 will divide without a remainder. 5184 is again repro- 
 duced by 81 X 64, where the 81 is the square root of the 
 Parker square of 6561, and the 64 is one-tenth the number 
 of acres in the square mile. 
 
 " So, an exceedingly practical use is thus developed, as 
 belonging to the meanings, or readings, of the king's 
 chamber."
 
 § 50. Factor 6 in the Metius Form. 91 
 
 NOTE. 
 
 A Connection between the Parker and Metius Forins with 
 Relation to the Factor 6. 
 
 (§ 49.) In § 35 (3), it is seen that we have the forms : 
 (i.) 6561 : 20612 : 113 : "355.0001 + , 
 and — 
 
 (2.) 113 : 35500014- :: 36 : II3-09734-. 
 Above, we have the change of circumference to diameter 
 values, to obtain the exact measures of the pyramid, with 
 dimensions of the king's chamber, of which height of 
 king's chamber is a base of change, again, from a diam- 
 eter, to get a circumference value, viz., in the form — 
 
 (3.) 1.90985+ : 6; 
 where the third proportional is diameter to, the fourth, a 
 circumference of 6. 
 
 Through a like change on the Metius forms, we find in 
 the third proportional of (2) 6^, or 6 X 6, or use of 6 as 
 a factor, for a diameter value, to the fourth, that of a cir- 
 cumference. 
 
 Both forms thus find a like base of structure on the same 
 factor, 6 ; but one finding it as circumference, and one 
 as diameter value. It is thought that herein, perhaps, 
 is a key to one of the chief links of connection between 
 the two forms. 
 
 SECTION II. 
 
 TABLE OF standard MEASURES OF RESTORATION OF THE GREAT 
 PYRAMID, MADE THUS FAR. 
 
 (§ 50^) Standard circumference in inches, 20612.00 
 For circumference of base, raised to 36643.55 
 
 Standard diameter in inches, 6561.00 
 
 1 1 664 
 For height of pyramid, raised to -^ — .00 
 
 Standard circumference of pyramid, 
 
 36643.55+ -^ 12 = in feet, 3053-62 + 
 
 in cubits, 1777-77 +
 
 92 
 
 Construction of the Great Pyramid. § 51. 
 
 Standard base side of pyramid, 
 
 
 3053.62+ -r- 4 — in feet, 
 
 763.4074 
 
 in cubits, 
 
 444.444 
 
 in inches, 
 
 9160.88 
 
 Standard height of pyramid. 
 
 
 11664 : 24 — in feet. 
 
 486.00 
 
 Standard length of king's chamber. 
 
 
 206.12 X 2 = in inches, 
 
 412.24 
 
 in feet. 
 
 34-3533 
 
 in cubits, 
 
 20.0000 
 
 Standard breadth of same. 
 
 
 in inches, 
 
 206.12 
 
 in feet, 
 
 17.1766-f- 
 
 in cubits, 
 
 10.000 
 
 Standard height of same, 
 
 
 Base side, 763.4074 -^ 40, \ 
 
 
 ii.iiii/ in feet, 
 
 19.08518 
 
 or, 20.012 A V 
 
 
 10 \ in inches, 
 
 229.0222 
 
 or, 34-3533 X 18 / 
 
 
 in cubits. 
 
 II. mil 
 
 Enlarged Measures on the Standard. 
 
 (§ 51.) These are obtained on the formula — 
 6561 : 20612 :: .318309+ : i, 
 where the object evidently is, among other things, to get a 
 new diameter value for an integral circumference value of 
 unity. It will be seen that this new diameter value can be 
 raised so as to exhibit a very slight enlargement on the 
 standard circumference values already used. 
 Enlarged height of pyramid in feet. 
 Enlarged base side, ^ 
 
 31.830972 X 24, 5 ~ 
 And this is a dia. to a circumference of 2400.0000 
 in inches, 9167.31 + 
 
 486.34118 
 763-9433 +
 
 §53- 
 
 Table of Measures. 
 
 93 
 
 Enlarged height of king's chamber, 
 
 763-943328 -- 40 ^ in feet, 
 
 in inches. 
 
 Enlarged length of king's chamber, 
 
 18 
 19.098583+ X — = in feet, 
 
 in inches. 
 Enlarged width of same, 
 
 34-3774497^ ^ 2 = in feet, 
 
 in inches, 
 
 19.098583 
 229.182998 
 
 34-37744976 + 
 412.529396 + 
 
 17.1887248 + 
 206.2647001 + 
 
 Measures as actually Made or Comfuted in Terms of the 
 British Inch and Foot. 
 
 (§ 52.) Height (estimated or computed 
 
 by Smyth), in feet, 486.2 inches. 
 
 62 
 Side of base (French measures), in feet, ^61. 
 
 Side of base (Col. Vyse's measures), in feet, 764.00 
 Length of king's chamber, in feet, 34-38 
 
 Width " *' " 17.19 
 
 Height " " '« 19.1 
 
 (§ 53.) A table can be raised on these enlarged values, 
 where, in every case, 318+ is the quotient of the diameter 
 divided by the circumference. It is thought that the use- 
 fulness of this value of 318+ is just that which gave it the 
 name of the 318 trained or circumcised servants of Abram. 
 
 (a.) 1.9098+ feet diameter to a circumference of 6 feet. 
 
 3.8197+ " " " 12 " 
 
 229.1829 inches " " 720 in. 
 
 458.3658 *' " " 1440 
 
 ((
 
 94 Construction of the Great Pyramid. § 54. 
 
 {p.) 34.377449 ft. diameter to a circumference of 108 feet. 
 412.529 inches *' *' 1296 in. 
 
 103.132-I- *' " " 324 " 
 
 {c.) 68.754899 feet <* " 216 feet. 
 
 825.058 inclies " " 2592 in. 
 
 {d.) 137.509796 feet " " 432 feet. 
 
 1650. 116+ inches *' *' 5184 in. 
 
 {c.) 275.019592 feet ** •' 864 feet. 
 
 3300.232 inches ** *' 10368 in. 
 
 In this table, it is seen that the actual pyramid measures, 
 for one feature, become diameter values for circumferences 
 of which 6 is a factor. This is a fact of interest, when it 
 is considered that the British long and land measures are 
 based on the use of this factor ; so, also, the Hebrew ca- 
 pacity measures ; likewise, also, the Hindu measures of 
 time. 
 The characteristic, or value, number of the Hindu 
 
 time measures, as to one of their cycles, is 108 
 
 This is the half of 216 
 
 That of another period, called Kalpa, is 432 
 
 «' " " Dwaper, is 864 
 
 " <« " Sandhi, is 1728 
 
 That of one of their divisions of months is 5184 
 
 It is thus seen that the factor 6 co-ordinates long and 
 land, and capacity and time measures, belonging, respect- 
 ively, to different peoples. 
 
 (§ 54.) There is also a system of factoring to obtain the 
 standard pyramid measures from the value of a circum- 
 ference alone, as follows : 
 
 20612 X - = 27482.66-1- Whence the lunar time by Parker. 
 
 ^-=36643.55+ " " solar " " " 
 9
 
 § 55- Effect of Putting the Pyramid in a Sphere. 95 
 20613 X — q = 3053-^^2-|- Circumference of pyramid. 
 
 X -^ = 1526.811+ - 
 
 216 -^ ' 2 
 
 u 
 
 (( 
 
 I 
 
 X ^^= 763-407+ ^ 
 
 X ^4= 3S.-7037+ 3 
 
 U 
 
 " X -^^= 190.S518 ~ 
 
 1728 -^ -^ JO 
 
 288 18 
 
 " X77^= 34-3533+ -60 
 
 « x-^= 17.1766+ - 
 
 34560 320 
 
 (( 
 
 " X^= 85SS3+ -^ 
 
 69120 JOT g^Q 
 
 The enlargements are to be obtained by use of the same 
 
 factors, on the enlargement of 20612 to 2062647001, thus: 
 
 6561 X 100-^20612=31.8309722 + 
 31.830972 X 12 = 381.9716664+ 
 
 864 
 381.97166+ X -~z- = 20626.47001+ ; 
 
 which last result is the enlargement on the Parker primary- 
 circumference. 
 
 SECTION III. 
 
 EFFECT OF PUTTING THE PYRAMID IN A SPHERE, PRELIMINARY 
 TO GIVING, OR WORKING OUT, ITS FURTHER MEASURES ; AND 
 STATED AS HYPOTHESIS OR THEORY. OBTAINING THE NUM. 
 BER VALUE 21633O. 
 
 (§ 55-) Thus there has been displayed the elements for 
 the construction of the pyramid ; the enlargement on the 
 same, with the reason therefor; the standard measures, 
 and actual measures thereof as enlargements, or variations, 
 on the standard ; as also of the three elements of the 
 length, breadth, and height of the king's chamber.
 
 96 
 
 Construction of the Great Pyramid. 
 
 55' 
 
 It is thought there is a reason for the pyramidal shape of 
 the structure ; and because the use of it in that shape can 
 be made instrumental in the production of a numerical 
 value, which seems to be recognized and made use of, or 
 rather worked with reference to, by the architect, in most 
 of the governing lines of the interior work, it is thought 
 best to commence with the development of the number 
 
 216330 
 as a result of placing a -pyramid^ in terms of the original 
 Parker measures, in a sphere. From this, as will be seen, 
 some very extraordinary numerical relations arise, which 
 harmonize with the supposed object, or genius of the 
 structure. 
 
 {a.) Let A D B' represent a vertical meridianal section, 
 and AB B' a transverse vertical section (cutting in the cor- 
 ners) of the pyramid. Let D B' — - side of base, and 
 
 BB' = — diagonal of base. Then, 
 
 Height 
 
 (standard), AB' = 656i
 
 §55" Effect of Putting the Pyramid in a Sphere. 97 
 — Base side (standard), DB' = 5i53 
 
 BB'=VDB'^X2 «« =7287.44248+ 
 
 To get this pyramid in a sphere, AB' must be produced 
 
 to such a length, that with some point, as O, as a center, 
 
 and with O A as a radius, a circle may be described which 
 
 will cut in the points A and B. This can be done because 
 
 B B' is a mean proportional between A B' and some length 
 
 , . , . AB'4-x 
 X, which gives • = radius required. 
 
 This radius equals 7327.6588172 + . 
 As B B' is longer than A B', addition must be made to A B' 
 to get this radius. The difference between them is 
 726.44248+ ; and this added to AB' gives the 7287.44248. 
 Now, though A B' has been increased to equal B B', it still 
 is not the radius required ; because, by difference in posi- 
 tion, AB' thus increased, taken as a radius, can not inclose 
 the pyramid. A further distance is required. 
 
 The true value is as stated, 7327.6588172+. 
 The difference between this and A B' increased as above 
 is 40.216330+. 
 
 Now, let B B' be increased by the whole number of this 
 last difference, viz., 40; then there will remain as between 
 the true radius, 7327.6588+, of the circle inclosing the 
 pyramid, and H H', the numerical value, 
 
 216330, 
 as a final difference. 
 
 216330 Found as an Elliptical Difference. 
 
 (d.) There are two ways to take up or represent an el- 
 liptical property : one is to measure out from a common 
 central point to the end of the major, or minor, axis of 
 the ellipse ; the other is to take a true circle, and exhibit 
 the same difference al the center, on the quadrant lines. 
 Here the latter plan seems to have been adopted : 
 
 AO= 7327.6588172 
 
 HH'= 7327.442487 
 
 Difference, .216330;
 
 98 Construction of the Great Pyramid. § 56. 
 
 which thus introduces the property of an ellipse, as con- 
 nected with the sphere, taken up or represented at the cen- 
 ter thereof. 
 
 True Pyramid springing from the Pyramid placed iti the 
 
 Sphere. 
 
 (c.) It is seen that this pyramid thus placed in the 
 sphere, is composed from the original Parker elements, in 
 numbers. Now, any pyramid taken off this by a base 
 line, as C C, drawn parallel with B B', will be proportional 
 in all its elements with the pyramid inclosed in the sphere. 
 On the pyramid lines thus placed in the sphere, another is 
 required to represent the Parker formulas — 
 
 20612 X -2 = 36643.55+* 
 
 42 
 6561 X-2 = 1 1664. ; 
 
 in which 36643. 55-I- is to represent the circumference of 
 the base, and 11664 is to represent the height. This can 
 be done : reducing the values to feet, equals for circumfer- 
 ence 3053+ feet; or, for base side, D'C x 2 = 763.4074+ 
 feet (standard measure); and, for height, 11664 -^- 12 = 
 972 for diameter, and 972 -^ 2 = 486 feet (standard meas- 
 ure) for radius or height ; whereby, on the lines of the first 
 pyramid, constructed from the original Parker numbers, 
 another pyramid is made to spring from the same original 
 numbers in terms of the Parker formula, for obtaining in 
 366.4355, as he says, "the exact time of the passage of 
 the earth around the sun over the value of a complete circle 
 in space in circular days." The enlarged meastires of the 
 ^yrai7iid proper are to be had by extending the height and 
 standard base lilies. 
 
 Solar Year Value obtained from — Base Side of Pyramid, 
 
 and the Sine of 30°. 
 
 (§ 56.) It is to be noted that the north base line of the 
 great pyramid is located on the actual parallel of 30° north 
 latitude. Let it be assumed that the sphere taken was in-
 
 § 56. Effect of Putting the Pyramid in a Sphere. 99 
 
 tended to represent the earth; that by the difference taken 
 up at the center, as shown, a datum, numerically, of the 
 elliptical property, or of an elliptieal property, of the 
 earth's shape, or of its spheroidal character, was intended; 
 and then, that the line of 30° was intended as a point to 
 work to in the elaboration of the problems intended to be 
 displayed as measuring the earth and the planetary orbits. 
 A use of this can be made manifest. 
 
 {a.) The standard length of D'C, or - base side of the 
 
 pyramid, is — 
 
 (i.) 381.70370+ feet. 
 The half of this is — 
 
 (2.) 190.851851+ feet. 
 In the circle of this diagram is represented the pyramid 
 
 taken at the standard height and - base side, or 486 feet, 
 
 and 381.7037-f- feet, respectively, as a proportional part of 
 the ideal pyramid drawn in the sphere. The actual pyra- 
 mid is an enlargement on these values of 486.341x8+ feet 
 for height, and 381.97166+ feet for half base side ; and, to 
 effect this, the height will project beyond the circle .34118 
 of a foot, and the base line will be projected for the other 
 differences. 
 
 The radius of the standard circle is 610.638234+ feet. 
 
 Add, for enlarged height, .341181+ " 
 
 (3.) Enlarged radius, 610.979415+ feet. 
 
 ibi) From the center O of the sphere (preceding figure), 
 draw the radius line O F, to intersect the parallel line of 
 30°, at F on the sphere, taken as thus enlarged. The dis- 
 tance O D", where this radius line is found to intersect the 
 inclined side of the pyramid, is found to be 381.22807 feet, 
 as follows : The angle A D"E = 51° 51' I4"5 ; the angle 
 E D"0 = 30° ; then the angle A D"0 = 81° 51' i4"5 ; the 
 angle D"A E = 38° 08' 45"5 ; and the angle AO D" -- 60° ; 
 then —
 
 lOO Construction of the Great Pyramid. § 56 
 
 Shi. 81° 51' 14" 5 9-995595 
 Sin. 38° 08' 45" 5 9-790754 
 Log. 610.979415 2.786026 
 Log. 381.22807 2.581185 
 If this is taken as the radius, then the value of the sine line 
 of 30°, or O E, will be, 
 
 (2.) 190.614035+ feet. 
 Compare this value of sine of 30°, with the corresponding 
 value of standard one-fourth base side [(<^)(2.)]» or, 
 190.851851+ feet; and let it be taken that the object has 
 been to get the difference between these values, as to their 
 decimals, for use, so that : 
 
 (3.) 190— I 851851 —190 — I 614035 = 190— I 237816. 
 The uses of this remainder are in exceeding great harmony 
 with the scheme supposed. 190.85 185 1 + is the standard value 
 
 of the — the base side of the pyramid, or 190.851851 X 4^r 
 
 4 
 or 16, equals the standard circumference of the pyramid in 
 
 feet, or 36643.555-}- inches, where the height of the pyr- 
 amid is to this value as radius is to circumference of a cir- 
 cle. As to the use of the variation found : 
 (4.) 190.237816 feet equals, in inches, 2282.853792. 
 and — 
 
 (5.) 2282.853792 X 4^5 or 16, =, in inches, 36525.660672, 
 or, in tenths of inches, 365256.60672, 
 as a result from the use of this difference between the 
 
 standard —base side, and the sine value of 30° as taken. 
 4 
 (c.) 36525 is numerically taken as the correct solar 
 
 year day value, or circle, as used in the calendars ; but 
 
 this carries it to a greater exactitude, for this value is in 
 
 tenths of inches, 365256.6067-f 
 
 The true and exact solar year value is 365256.3835 
 
 Difference, 000000. 2232 -f- 
 
 or 17" in a year's time : so close an approximate that 5000 
 years would have to elapse to require the intercalation of 
 I day, for correction of the calendar. 
 
 Note on § 56. — The results of thus putting the pyramid in
 
 § 57- Effect of Putting the Pyramid in a Sphere, ioi 
 
 a sphere can be shown by diagram. The base of the pyr- 
 amid proper is 36643.55 inches, from which numerical 
 vahie Mr. Parker derives the exact solar year period. The 
 side of the square base is 763.4074 feet. This divided by 
 2 is 381.7037+ feet; and this by 2=190.851851 feet: 
 the very division on which comparison is made for the dif- 
 ferential of 190.237816, by running a radius to 30°, on the 
 circle of iYm pyramid enlarged. It is tlius seen that this is 
 
 a method of working the differential on the — base side, 
 
 & 2 
 
 and the - base side, of the pyramid. 190.614035 being 
 
 4 
 5/«r of 30°, then 190.614035 X 2=^381.22807 feet, becomes 
 
 the side of a square measured on this circle : so that this is 
 a square of comparison with that of the base of the pyramid, 
 in its seen division, to obtain a differential to procure the 
 solar year value. This division of the square base of the pyr- 
 amid , divides it into 16 squares ; 1 2 around the circumference 
 and 4 in the midst, framed on tzuo lines crossing in the 
 center. This is exactly the square framed for the Garden 
 of Eden, and the encampment of the Israelites, showing 
 that the Hebrew idea is just that of the Egypdans. Now, 
 
 the square base of the p3'ramid is the zodiac. The — of 
 
 this square is a variation on that square in a circle obtained 
 by putting the ideal pyramid in a sphere, cutting in the 
 parallel of 30°, and thus obtaining the solar year, as the 
 value of the zodiac. But the sphere itself is representa- 
 tive of the earth, the diameters of which are to be worked 
 out co-ordinately with the time value of the zodiac, and in 
 and from the tame data. Was there ever a more magnifi- 
 cent conception? The data for exact computation are the 
 governing ones, and the architect is cunningly blocking out 
 the cosmic work architecturally. 
 
 Equatorial and Polar Diameters of the Earth obtained. 
 
 (§ 57.) It is seen that this very exact solar year numer- 
 ical value, in tenths of inches, is architecturally obtained as
 
 I02 Construction of the Great Pyramid. § 57. 
 
 a variation, by difference, on 366435. 5 -f- in tenths of inches, 
 or the standard circumference of the pyramid proper, 
 which value as 366.4355 is the ver}' value, which, under 
 his problem of three revolving bodies, John A. Par- 
 ker raises from these very original elements of his quad- 
 rature (which, under the present application, give the pyra_ 
 mid in the sphere, whence the real pyramid is taken) as 
 " the exact value of the passage of the earth about the 
 sun," etc. Now, if under the geometrical conditions framed 
 iri § 55 («)j and with the data obtained of 3664355 + , and 
 the elliptical value numerical of 216330-I-, taken up at the 
 center of the earth, the actual miles numerical value of the 
 earth's diameters can be worked out, it would seem, almost, 
 that the design of the architect must be being reproduced, 
 though perhaps in a stumbling way, and lacking in the re- 
 finements, and proper details, by which he almost undoubt- 
 edly was working out planetary exactitudes as to size and 
 motion through geometrical elements, under a co-ordinat- 
 ing system of construction and of notation. As a fact, by 
 a very beautiful calculation through these very means, the 
 equatorial and polar diameters of the earth can numerically 
 be obtained. 
 
 {a.) Let the values of the earth's diameters be taken 
 at, for 
 
 (i.) Equatorial diameter, 41.854.174+ feet, 
 
 And another at some other point, 41.739.954+ " 
 
 758 
 The difference is 114219. — " 
 
 If the larger diameter be divided by this difference the quo- 
 tient will be 366.4355 + , and this is numerically that value 
 
 42 
 springing from the Parker elements of 206.12 X ^ = 
 
 o 
 
 366.4355+, which, as he says, is " the exact value of the 
 passage of the earth about the sun over one complete circle 
 in space in circular days ;" and used otherwise for pyra- 
 midal purposes, is in 36643.55 inches the standard circum- 
 ference of the pyramid.
 
 § 57' Effect of Putting the Pyramid in a Sphere. 103 
 
 [The question has been raised, by what authority Parker points 
 this value at 366.43554-5 and in truth he is not clear as to this. 
 But a way can be shown, by throwing the values from inches into 
 
 200 1 2 
 
 feet, thus: = i. 71 766 feet, or the value of i cubit. 120 cubits, 
 
 12000 ' ' 
 
 12 4^ 
 
 then, is 206. — feet, and this X -^^ = 366.4355 + ? as the Parker 
 
 time day value, thus shown to be in British feet.] 
 
 In this formulation, since the smaller diameter taken is 
 less than the dividend by the amount of the divisor, the 
 quotient of the smaller divided by the difference, will be 
 one less than the first quotient, or 365.4355-I-: There re- 
 sults : 
 
 (2.) 366.4355+ ) )4i-854-i74+ feet, 
 
 > X 114219.758 = > 
 
 365-4355+) MI-739-954+ " 
 
 where the products are the return of the diameter values of 
 
 the earth as taken. 
 
 7c;8 
 But 114219.^— feet equal 21.63253+ miles British, and 
 
 the difference taken up at the center of the sphere as 
 
 shown, was, numerically, 21.6330; which, if it be taken 
 
 as representing this miles value of difference, shows a dis- 
 
 4 
 crepancy of — ^^— of a mile, or of 2 feet, as the difference 
 
 ' - lOOOO 
 
 of the earth's diameter as taken. 
 
 [Here it will be seen that 41854174 feet 25, to all intents, the 
 equatorial diameter of the earth. This being so, the numerical 
 datum of 216330 found as equal to a miles elliptical difference 
 value may be one assumed as being thus found, and on which, as 
 one true value is already obtained, the other may be had.] 
 
 {d.) It has been shown that 36643.55+ is obtained by 
 
 use of 20612 X ^- Since 21632.53 is numerically nearly 
 
 the same as 2061200, and 5'et is taken as a miles value, 
 
 transformation may be made of^ 21.63253 into the terms 
 
 .2 
 of the formula 20612 x ^» or by use of the factors 3 and 
 
 As it appears that- 
 3' 
 
 (I.) 206.12 X :;j= 366.4355+,
 
 I04 Construction of the Great Pyramid. § 57. 
 
 so it seems that — 
 
 (2.) 21.63253 X ^= 365.04894+. 
 Substitute this value in {a) (2), and, formulating, we have — 
 4^ 
 
 (3.) 366.4355+ X 365-04894 X ^= 7926.92686, 
 
 where, in place of the resultant value appearing in feet, it 
 is now produced in juilcs British, of the equatorial diam- 
 eter of the earth ; and — 
 
 4^ 
 
 (4-) 365-4355 X 365-04894 X ^= 7905. 2943+, 
 
 where the result, in place of feet, is now produced in miles' 
 value of the other diameter, as taken. 
 
 {c.) But now there appears a co-ordination of values ; 
 for, since, by the above formulation, {b) (4), it is — 
 
 365.4355+ X 365.04894-, 
 this is precisely the same as the square of the mean of these 
 values ; thus — 
 
 4^ 
 
 (I.) 365-24225 X ^=7905-2943+; 
 
 and hence, for the larger diameter, there is — 
 
 (2.) 365.24225- -1-36504894 X looooo X— = 7926.92686-]-. 
 
 In these last formulations, 365.24225+ is the value of 
 the mean solar year. 
 
 Note, that 7926.9268 -^ 24 = 330.2886, and by Professor 
 Smyth the length of passage through ante-chamber to 
 king's chamber, from edge of great step, is 330. 3d= inches ; 
 and as it is seen that this miles' value is a time value through 
 the mean solar year, the key of this passage-way measure 
 seems to be found, as a co-ordinating one, of these very 
 elements. 
 
 {d.) But thus far, in these formulations, the equatorial 
 value alone has been obtained. In § 56 {b), above, it is 
 shown that the sine value, or O E, of 30°, compared with 
 
 the —of the base side of the pyramid, taken at the standard, 
 4
 
 § 57- Effect of Putting the Pyramid in a Sphere. 105 
 
 gives for use the value of 190.237816-}- feet, which reduced 
 or scaled to tenths of inches, and multiplied by 4*, or 16, 
 to get the variation on the entire circumference of the pyra- 
 mid of 366435.5 -|-, in tenths of inches, the standard value, 
 gave, as a result, the almost exacdy true solar year value of 
 
 /;/ thousandths of days ^ 365256. 3S3 + . 
 The elements there used are directly connected with those 
 herein used — viz., the circumference of 366435. 5+ is so va- 
 ried as to produce 365256, the true solar year ; whereas here 
 the mean solar y<:ar value has been used, and that as com- 
 ing from use, in part, of the same value of 3664355-!-. The 
 miles value is numerically represented as a difference taken 
 up in the center of the sphere, in which the pyramid, in 
 the original Parker numbers, has been placed. From this 
 same center the radius line of 30° is taken, which gives the 
 sine value of 190.614035, whence 190.337+ was obtained. 
 
 Make use of these values so connected : 
 
 (i.) Standard circumference value in inches, 36643.55-}-. 
 
 (2.) 190.237816 feet (the variation on the — side of the 
 
 4 
 pyramid, used above) X 4 = 760.9512 (the variation on the 
 
 value of the full base side of the: pyramid). 
 
 (3.) Now, if the — of this last, in a scale of inches for 
 
 feet, or 76.09512-f-, be taken from 366.4355-f , or the — 
 
 of the full circumference of the base, in inches, the differ- 
 ence is 290.34043+ ; and let this be considered, on a scale 
 of feet for inches, as the number of times the difference 
 between the equatorial and polar diameters is taken, in- 
 stead of 366.4355 + , the number of times the difference be- 
 tween the diameters already used was taken. 
 
 (4.) Then the larger diameter divided by this value 
 will give the new difference, the ultimatum sought, or, 
 
 41854174+ -- 290.34043 = 144x55.5, 
 in place of 114219.758+ 
 
 as already taken [§ 57 («.)].
 
 io6 Construction of the Great Pyramid. § 57. 
 
 (5.) Then the larger diameter less this difference will 
 give, say, the numerical value of the -polar diameter, or, 
 
 41854174 feet, 
 
 less 144155 
 
 equals 41710019 " 
 
 or, in miles British, 7899.6248 
 
 In fact, this resultant value is to all intents the true value 
 of the polar diameter of the earth. Comparison gives as 
 follows : 
 
 (6.) Equatorial diameter assumed, 41854174+ feet. 
 As ascertained, 41852864+ 
 
 Difference, 1310+ 
 
 Polar diameter assumed, 41710019+ 
 
 As ascertained, 41708710+ 
 
 Difference, 1309+ 
 
 Note. — While there is enlargement as seen, yet this scarcely 
 affects the difference of the diameters, thus : 
 
 Equa. found, 7936.9260 miles. 
 Polar, " 7899.6248 " 
 
 Difference, 27.3020 " 
 
 Equa. received, 7926.6789 " 
 Polar, " 7899,3768 " 
 
 Difference, 27.3021 " 
 
 Now, while there is very much elaboration in the work- 
 ing out of the polar value results, in the way of scaling of 
 measures, it must be borne in mind that in architectural, or 
 object, or block building in of such problems, just this 
 class of work is to be expected of necessity ; therefore, this 
 elaboration is in full harmony with the genius of the prob- 
 lem making of the entire pyramid structure — in fact, it 
 may be expected in a far greater refinement of elaboration 
 than here shown, as is testified to by the greater and greater 
 amount of subdivision, and change of scales, as one pro- 
 gresses from the outside to the coffer in the king's cham- 
 ber ; also, by the refinements of measures displayed on the 
 walls and in the works of the ante-chamber, the recess of 
 the queen's chamber, and the wall courses of the king's
 
 § 57- Effect of Putting the Pyramid in a Sphere. 107 
 
 chamber. It seems evident that just this nature of work- 
 ing of values was made, but unfortunately for us, our high- 
 est efforts, at present, can only reach to a study as to the 
 keys of the method of calculation employed. The above 
 may be the exceedingly detailed elaboration of results 
 somehow, by some architectural device, plainly set forth 
 in the concrete, in natural exactitudes. 
 
 All these results depend upon the placing of an original 
 pyramid in a sphere, in the Parker values, giving the ele- 
 ments shown, and especially the final difference of — 
 
 216330. 
 As to the extraordinary combinations shown, all harmo- 
 nious among themselves, and in full accord with the genius 
 of the whole pyramid system, as it has been, and as it will 
 be seen, in its further developments, they seem to claim 
 recoo-nition as the real mental intent of the architect, rather 
 than as the results of a happy inventive faculty. It is 
 thought that it is almost impossible to conceive of the pos- 
 session of a power of inventing such co-ordinating harmo- 
 nies as are above set forth, especially where all the steps 
 are so fitting to architectural work, where the object would 
 be to obtain correct numerical data, which obtained, the 
 harmony of kinds of measure would, as has been said, be 
 preserved, by changes of the scales of measure. 
 
 NOTE TO § 57 {d). 
 
 The processes stated are somewhat strengthened, as be- 
 ing rightly taken, from the following : The circumference 
 of base of the pyramid is 36643-5555+ inches, or 
 
 2 
 3053.629629 feet. Take -^of this. It is — 
 
 (i.) 610.725925+ feet; 
 whereas, the radius of the sphere, as shown, is 7327. 
 658816+ inches. This reduced to feet, is — 
 
 (2.) 610.63823 feet. 
 Raise both to pyramid circumference values — 
 (i.) becomes 3053.6296+ feet. 
 (2.) becomes 3053.1911+ feet.
 
 io8 Construction of the Great Pyramid. § 58. 
 
 Raise both to radius of sphere vakies — 
 
 (i.) becomes 7328.711 1096 feet. 
 (2.) becomes 7327.658816 feet. 
 The placing the pyramid framed from the original num- 
 bers in a sphere is evidently done, for one thing, to get a 
 variation on the circitmfercncc of the base of the real 
 pyramid. 
 
 Now, 7327.658816 ^ 20 = 366.3829416, as a variation 
 on 366.4355 + . Take the earth's equatorial diameter, as 
 received, at 7926.67897 miles. Then, 7926.67897 -h Z'^d-- 
 3829416 = 21.6349-f- n^iles, different, numerically, from 
 the 216330 taken up as an elliptical difference in the 
 sphere .0019. 
 
 Such correlations can not be accidental. It goes to prove- 
 that the processes are those of nature, and that the pyra- 
 mid constructors knew the processes. 
 
 (§ 58.) If the conclusion be well taken, that the archi- 
 tect of the pyramid recognized in this value of 216330, nu- 
 merically, a miles difference in value of earth's diameters, 
 whence, with the solar year time values, the earth's actual 
 equatorial and polar diameters were numerically obtainable, 
 the grades of measure springing from the inch and foot 
 British, and these, with the cubit, from the Parker ele- 
 ments, then the overwhelming importance to man, as man, 
 of this fact, is explainable. 
 
 This measure is just that one that, with the ancients, seems 
 to have stamped the whole system as natural or divine, 
 i. e., showing that man was but dealing in measures, in 
 some sort shadowing forth mechanical principles of con- 
 struction, which it had pleased the Creator of all things to 
 adopt as the law of creation. Man seems capable, for in- 
 stance, of arriving, by use of his own powers, to a knowl- 
 edge of the abstract truths of this system, just as is evi- 
 denced by the works of John A. Parker. By observation, 
 the application of this system to the measures of natural 
 periods of time could be arrived at. But if the attempt 
 was to be made to apply the system, so that, in the planet-
 
 § 57- Effect of Putting the Pyramid in a Sphere. 109 
 
 ary system, measures of lime were to be co-ordinated witli 
 the actual material extension of the planets, before man 
 could recognize or realize this, it would become necessary 
 for him to establish some unit of measure for -practical 
 use as an inch, for instance, marked on a rod or rule. 
 Whatever such measure he might adopt, he would have, 
 of necessity, to abide by its results. What, therefore, 
 would be the chances, that, in the practical adoption of 
 such a measure, as by the averaging of barley-corns, or 
 taking the measure of the average length of the thumb, 
 he would actually take that very measure by which the 
 recognition that, in mechanical construction, the planets, by 
 law, were to co-ordinate in measure with their times, in 
 terms of measures growing out of a common system, would 
 or could come to him ? The answer must be that they 
 would be millions to one against the hitting on the exacti- 
 tude. Therefore, a measure being in use, and found to 
 answer this purpose and end, would be the proof, above 
 all others, of man's possession, however he came by it, of 
 the actual, practically adopted, material measure, by which, 
 under the lazv of creation, the Creator mechanically or 
 materially constructed the earth and all other planetary 
 bodies. 
 
 (§ 59.) As, however, to this number, among other 
 places, it is found that this very numeral, 216330, found, at 
 first, as notating the difference of the elliptical diameters 
 of the earth in miles (which diameters are measurable in 
 terms of the square of the mean solar year period, and by 
 means of the true solar year value), again develops itself 
 quite a number of times in very important measures, one 
 of which is on the level of the base of the grand gallery, 
 the approach to the king's chamber, where the earth meas- 
 ures and the earth time measures come together to be 
 measured on a circumference (of subdivisions) of the num- 
 ber 6, as of 360°, growing out of the factor 6 (and, by 
 change, on a square of 6 X 6, to co-ordinate round witli 
 plane measure), which is the circumference to the height 
 of this chamber as diameter ; which, again, springs from
 
 no Construction of the Great Pyramid. § 60. 
 
 a circumference of i to a diameter of 318+, which 318-j- is, 
 or was, the Gnostic value of the term Christ, and was what 
 was intended b}^ the 318 trained servants or circumcised 
 men of Abraham, in the Hebrew Bible. And all this 
 comes directly in harmony with the elevation of the floor- 
 level of the king's chamber above the base of the pyra- 
 mid, which is 137.509+ feet; for this value is in inches 
 1650. 116+, which is the diameter to a circumference of 
 5184, which is the characteristic value of the subdivisions 
 of a solar day into thirds^ that full value being 5184000'" ; 
 which value, again, is only evenly divisible into the acre 
 value of the British land measures, which acre value is the 
 base of the mile's British value. 
 
 SECTION IV. 
 
 THE king's chamber AND THE SQUARE ROOT OF THE SOLAR 
 
 YEAR. 
 
 (§60.) In § 57 {c.), [d.], it is seen that the use of the 
 216330, connected with the pyramid, involves the numeri- 
 cal value of the earth's diameters in miles, in terms of the 
 square of the year value in days ; and it is stated that the 
 king's chamber levels involve this number. In § 51, § 53 
 {a), it is to be seen that the height of the king's chamber is 
 a diameter to a circumference of 60; and involves, agree- 
 ably to the measures of that chamber coinciding with the 
 Hindu formula for obtaining sines, cosines, tangents, co- 
 tangents, and planetary orbits, as per Mr. Bentley, the cir- 
 cle of 360°, with its divisions for measuring the solar year, 
 and also the hour values on the earth's circumference in 
 miles. The height of the king's chamber, spoken of, is in 
 feet, and is a diameter value of 19.0985+ to a circum- 
 ference of 60. This, in inches, would give a circumfer- 
 ence of 720, and this squared, or the area of that height, 
 
 equals 518400, or the — of the subdivision of a solar day
 
 § 6i. Sq^ Root OF Solar Year IN King's Chamber, in 
 
 I 
 
 in thirds. The of 720 is 144, or the square of 12. The 
 
 height of the chamber is divided into 5 courses of masonry, 
 and though, unevenly, on account of a difference caused 
 by filling in on the lower course, may be taken as symbol- 
 izing the use of the number 5, as thus used (also, —of 60 
 
 is 15, as of 15° to an hour's time on the earth). The above 
 division is exactly that of the Egyptian equatorial, accord- 
 ing to Seyffarth, and borrows strength from a peculiarity 
 of the Hebrew Bible numerical system. The word Adam 
 is 144, and Elohim (in a circle) reads 31415. But the radi- 
 cal of Elohim is El, which is 31. The solar day value is 
 5184 in one of its subdivisions, and this is a multiple of 
 144. Subtract the value of El, or 31, from 144 and 5184, 
 thus — 
 
 (I.) 144 — 31 = 113. (2.) 5184 — 31=5153, 
 and in (i.) there remains a diameter to a circumference of 
 355, which is the Hebrew word Shanah, for lunar year ; 
 and in (2.) there remains the Parker area of the circle in- 
 scribed in the square. All these are pyramid numbers, 
 and, as seen, involve the value of a day, year, mile, and 
 foot. Thus, 144 and 5184 are the extremes of the British 
 long and land measures, inasmuch as one is the square of 
 12, and the last, which is the number of inches in the 
 square yard multiplied by 4, is evenly divisible only in the 
 acre value in inches, which acre value is the base of the 
 miles value. Thus, in this king's chamber, is a mingling 
 of co-ordinations of use of the inch, foot, yard, and miles 
 value, with those of days and years. One means is, as 
 seen, by means of the square of the solar year value ; and 
 the number 216330, v^ hich involves this use, is also made 
 use of in the levels of approach to the' king's chamber, as 
 is shown in § 75, thus bringing this relation of the square 
 of the solar year to bear upon that chamber in the use of 
 its dimensions. 
 
 (§ 61.) (i.) Professor Smyth discovered a persistent 
 variation in the lengths of passage-ways and dimensions
 
 112 Construction of the Great Pyramid. § 62. 
 
 of the chambers and of the coffer; that is, they all pre- 
 sented these variations on a mean of measure taken as a 
 standard. He was forced to the conviction that this was 
 purposed, and, if so, it was as a scheme for the exhibition 
 of variation of measures. The ability of the workmen to 
 work to exactitude in these respects was amply displayed, 
 and especially in the king's chamber, whose walls are in 
 the hardest granite, polished to the highest reach of art, 
 and whose joints are to be likened to the thickness of gold- 
 leaf. 
 
 (2.) The king's chamber is, as shown — 
 
 in height, 19.0985+ feet. 
 (a.) The true solar year is, 365.2563835 
 
 (5,) The mean solar year is, 365.24225 + 
 
 J of (a.) is 19.11168 
 
 J of (d.) is 19.11131 
 The variation on the height line of the* king's chamber of 
 
 .0128 of a foot, or of — of an inch, affords this value; 
 
 100 
 
 that is : 
 
 19.0985 + .0128 = 19.1113 feet, 
 
 or the square root of the solar year day value. 
 
 (3.) Then, on this extremely small variation, which is 
 within the limits of those observed by Professor Smyth, 
 the square of the height of the king's chamber equals that 
 very quantity, or the year day value, of which its height, 
 at its first intention as an enlargement on the standard, af- 
 fords the subdivided measures on the celestial circle of 
 360°. So, the square of the solar year is involved in the 
 miles value of the difference of the earth's diameters, as 
 connected with the king's chamber; which, by one of its 
 dimensions, exhibits in the square root of that value a meas- 
 ure of the circumference of the celestial circle of 360°. 
 
 So, conclusion can be drawn that one function of the 
 measures of the kind's chamber was to set forth the cor- 
 relation of solar time with the material extension of the 
 earth, in terms of the British inch, foot, or mile. 
 
 § 62. (a.) The Hebrew Biblical scheme correlates
 
 §62. Sq^ Root OF Solar Year IN King's Chamber. 113 
 
 strongly with this : Take the last letter of tlie alpliabet, or 
 iau; its mark is tiiat of a cross, or +, and its numerical 
 characteristic is 4. The word Garden 0/ £^deji, taking 
 the characteristic values of its letters, and adding them, 
 equals 24. Divide this by 6, and the result is 4, or 24 -^ 6 
 = 4. Consider this as descriptive of the cross letter, or 
 Iau — i. e., that it represents four lines in the form of a 
 cross, each line having the value of 6. On this, as a 
 frame-work, finish out the large square, and there results 
 four squares of 6 X 6 each. This equals four areas of 2^ 
 each, and the whole equals a square area of 144, oy Adam, 
 who was placed m the Garden of Eden. But it was found, 
 § 35 (3-)' that— 
 
 (I-) 113 ' 355-OOOI+ :: 36 : 113.0973, 
 where 113 is a form of Adam, in the word ^' man,'^ or 
 a/s/i; from which form, as Adam himself says, £^ve, or 
 t/ie woman, or the mother of all living, was called or 
 named, because she was taken out of this form of 113, or 
 ^^man,''' or aish. Instead of an area of 36, then, extend 
 the cross marks, so that the four arms shall represent four 
 straight lines of 36 each, agreeably with the value of 36 in 
 (i.), and perfect the square. Now, there are four squares 
 of 36 X 36 each, or, in area, 1296 each, or the numerical 
 value of the square yard, based on lines of 36 in length. 
 The four squares, then, equal 1296 X 4 = 5184, or one 
 solar day sign; and, in fact, the Garden of Eden is the 
 seventh day, thus utilized. The week of seven days is a 
 circle of time. Bend them into the form of a circle, and 
 tiie count is as of the golden candlestick of seven lights, 
 of two sets of three days, and one in common, the phe- 
 nomena when the cross-bars of the cross are counted as 
 already shown. Each 36, as a straight line, is a deriva- 
 tive, as enlargement on 113, or "w«;/," in (i.) above, as 
 having for its circumference 113.098-}-, which is a parallel 
 use to that of the height of the king's chamber, for exactly 
 the same end of getting the use of the factor 6, except that, 
 in this case, it obtains it in right lines, or shifts circular into 
 rectilinear and square measure, which use of right line for
 
 114 Construction of the Great Pyramid. § 6^. 
 
 circular measure is notoriously true of the Hebrew Kab- 
 bala. 
 
 It is evident that the like uses, and variations, can be 
 made on this, or the Hebrew form, with the Egyptian. 
 But, in fact, it would rather seem that both forms were 
 made necessary as developments of each other. 
 
 (d.) The value of the word Arels, or Earth, adding 
 the characteristic values of the letters, is 12. It was, how- 
 ever, the dry, or arid, or unfruitful earth. To become 
 prolific it had to assume the Adam form, v/hich it did by 
 squaring \\., or 12 X 12 = 144 = ^^^^. This form as 
 144X5 = 720, and 720X5=3600, becomes the word 
 Adam-h, or H-Adam-k, or ihe fruitful Earth, or the form 
 of Mars generator. Here it can be seen how the Garden 
 of Eden seems to contain all the elements on which to 
 frame a cosmogony, by the help of other forms to which it 
 is cognate — viz., those shown as connected with the pyra- 
 mid. 
 
 SECTION V. 
 
 THE BASE OF THE PYRAMID. 
 
 %6'^, In § 55, in the diagram, D'C is the length of — 
 
 side of base of the pyramid, taken at the standard, or 
 763.4074+ feet, divided by 2. The actual base side is the 
 enlargement on this as shown, or, 763.9433+ feet, divided 
 by 2. The actual construction is a pavement of one cubit 
 in thickness, or, i. 71766+ feet; which thickness is in- 
 cluded in the height of the structure. Col. Howard Vyse 
 places the base of the pyramid on the plane on which the 
 pavement rests, and gives the thickness of the pavement 
 
 at I foot, 9 inches ; 
 
 or in decimals, 1.75 feet. 
 
 As above 1.7176+ feet. 
 
 Difference, -0324 of a foot.
 
 § 64. Location, etc., of Descending Passage- Way. 115 
 
 SECTION VI. 
 
 LOCATION AND LENGTH OF DESCENDING PASSAGE-WAY, WITH 
 RESPECT TO THE INCLINED OUTSIDE, TO THE BASE, AND TO 
 THE VERTICAL AXIAL LINE OF THE STRUCTURE. 
 
 §64. (i.; Let EA=the inclined line of the sloping 
 
 side of the pyramid from base to A. Let E F = the — 
 
 side of base. Let A B = the length of the floor line of 
 the descending passage-way, intersecting EA at A, and 
 extending to B, or to the foot of D B. Let AC= ver- 
 tical height of A above E F, the base of the pyramid. 
 And let D B ;== the vertical height of the base above the 
 point B, or foot of the floor line of the descending passage- 
 way. The measures of these various lines, the exactness 
 of which will be shown hereafter, are as follows : 
 
 (2.) AC equals 31 cubits standard, or 51.53 feet, plus 
 the thickness of the pavement, of one cubit, or 1.71766+ 
 feet, or a total of 53.24766-f- feet, or 638.972 inches. 
 Since the height to base side is as 6561 : 10306, the height 
 
 to — base side is as 6561 : 5153 ; and to find E C there is 
 
 the proportion, 
 
 6561 : 5153 :: 638.972 inches, or A C : EC, or 501. 
 847693339 inches, or 41.820641111 feet. 
 Then EC equals, in length, 41.820641111 feet*
 
 ii6 Construction of the Great Pyramid. § 65 
 
 (3.) DB equals, in length, or height vertical, 100 feet, 
 or 1200 inches ; 
 
 Then AC + D B equals, in vertical height, 153.2476-I- 
 feet. 
 
 (4.) A B equals 200 cubits enlarged on the standard. 
 The standard being 343-5333+ feet, or standard length of 
 the king's chamber, the enlarged value will be4i25.2940-f- 
 inches, or 343-7745-(- feet. 
 
 (5.) To find CD; AC+DB taken from A B , or 
 
 VAB -AC + DB =CD, or V343-7745' - ^SS- 
 2476^ = 307.727248+ feet, or 3692.726982+ inches. 
 
 (6.) EC + CD = 41.820641111 -f- 307.727248 = 
 349.547889 feet, and 381.97166669 feet, the half base side 
 of the pyramid, less 349.547889 = 32.42377 feet, the dis- 
 tance from D to F, the center of the structure. The dis- 
 tance from B to F' is the same. 
 
 Then, the distance from the foot of the descending 
 passage-way to the central axial line of the pyramid is 
 32.42377-1- feet. 
 
 (7.) With these data, the angle AG C, or that which 
 the floor-line of the descending passage-way makes with 
 the base line of the pyramid, can be readily found, as fol- 
 lows : 
 
 Log. A B, 4125.29 inches, = 3.615454 
 
 Log. AC + DB, 1838.97= 3.264576 
 Sin. 90, 10.000000 
 
 S/«. 26° 28' 24"io, 9.649122 
 
 (§ 65.) It is well enough to give the measures and data 
 for measures, from Col. Howard Vyse and Professor 
 Smyth. Col. Vyse excavated the rubbish heap laying over 
 E A, and, at the foot, took the measures of the pavement 
 as to its thickness, which he calculates in the measures of 
 the mass. At E, he found a casing-stone in place, which 
 gave him the position of E and the line EA. The floor 
 line of the passage way terminates in a broken edge, which, 
 measuring from E, for perpendicular height, he gives at 
 49 feet above the bottom of the pavement. Continuing 
 from this edge, downward, 162.3 inches (Professor Smyth's
 
 § 65. Location, etc., of Descending Passage-Way. 117 
 
 measure, who says: "From the beginning of the roof 
 dropped onto the floor Hne to the edge of basement sheet 
 is 162.3 inclies"), along the floor line, brings one to the 
 place where the roof of the passage-way commences, in 
 the, at present, broken masses of masonry. Thence, Col. 
 Vyse measured down 3850 inches. As to this last dis- 
 tance, he says : " Or present length inclined of whole en- 
 trance passage, 3850 inches. But ancient length must be 
 increased for an extent of more than 276 inches broken 
 away at the beginning, with the exterior of the building, 
 and is therefore more nearly 4126 inches." That is, his 
 estimate of the restored distance A B is 4126 inches. The 
 measure here taken is 4125.294 inches, differing from his 
 
 7 
 estimate by the amount of .706, or — -of one inch, in that 
 
 many thousands of inches. 
 
 He gives the angle of the casing-stone found as 51° 50' 
 
 He gives the angle A G C (§ 64) as 26° 41' 
 
 (§ 66.) Following down the lead of the descending 
 
 passage-way, he gives the distance A D to the subterranean 
 
 chamber, at 27 feet ; for he measured along the roof 
 
 line, not the bottom line. He does not give the distance 
 
 B E, but on Perring's plates of Vyse's measures, which 
 
 are very faithfully done, while A D shows as 27 feet, 
 
 JE 
 
 J" 
 
 B E shows as 29 feet, which goes to confirm the opinion 
 that the line G B is parallel to the exterior inclined line of 
 the pyramid. The height of A C he gives at three (3) feet. 
 Taking Col. Vyse's data just as he gives them, and for 
 B F, that is, from the foot of the descending passage-way 
 to the center of the pyramid, the values are —
 
 ii8 Construction of the Great Pyramid. § 66. 
 
 BtoC — 
 
 2.358-1- feet 
 
 C toE = 
 
 27.000 " 
 
 EtoF — 
 
 3.56899+ " 
 
 Or a total of 32.92699 " 
 While this is so, /ic says that F, instead of 3.568+ feet, is 
 distant from E 8 feet — a manifestly erroneous calculation, 
 from his ow7i data. The difference between the results of 
 calculation from the data of Col. Vyse, and from those 
 stated for this distance, is as follows : 
 
 Col. Vyse's estimate, 32.92699 feet. 
 
 As given above, 32.42377 
 
 ( ( 
 
 (< 
 
 Difference, -50322 
 
 and this is to be accounted for by the difference of the an- 
 gles taken, his being stated at 26° 41' 
 while that resulting from the data herein 
 
 taken is 26° 28' 24^10. 
 
 There is very strong confirmation as to the correctness 
 of this last stated angle. Without any certain data to go 
 by, the only method of obtaining the relations between the 
 interior and exterior lines of the structure, was by means 
 of this angle ; and therefore it was of the greatest impor- 
 tance to obtain it correctly. Aware of this, Professor 
 Smyth prepared for its determination to within very close 
 limits. He found a material difference between the real 
 angle, and that as stated by Col. Vyse, of 26° 41'. He 
 used three different instruments, and made a number of 
 separate trials for each instrument ; and his determinations 
 may be looked on as, for the condition of the passage it- 
 self, as close an approximate as may be expected to the 
 true angle — the correction being the obtaining those orig- 
 inal elements of construction, which gave rise to this angle. 
 His results are as follows : 
 
 (i.) By one method, 26° 27' > .„ ,, 
 
 CO ^,. \ mean, 26° 26^5 
 26 26'5 5 
 
 (2.) By another " 26° 25' 20" " 26° 25' 20" 
 
 (3.) By another " 26° 27' 58" ^ ^^ 
 
 26° 28' 16" \ 20 -o 7
 
 § 67- Location, etc., of Descending Passage- Way. 119 
 
 The admeasurements used to obtain these means are 
 themselves the means of measures, some of which ex- 
 ceeded that angle here used. Professor Smyth while aver- 
 ring that the true angle is very closely connected with the 
 results given by him, lays no stress upon any particular set, 
 considering them all as equally worthy. But compare one 
 set of his with that angle resulting from the data herein 
 used for locating the floor of the passage-way : 
 (4.) Professor Smyth's, 26° 28' 7" 
 (5.) That stated above, 26° 28' 24"io 
 showing a difference exceedingly small, as may be realized 
 if one will try to read it on the face of an instrument. 
 
 § 67. The genius of the pyramid demands that the 
 angle of the side incline be, 51° 51' !/{"<, 
 
 Col. Vyse got by the measure of one stone, 51° 50' 
 Compare these, and then the agreement of the angles, 
 
 26° 28' 24" 10 
 26° 28' 7", 
 then the restored length of the descending passage-way by 
 Col. Vyse of 4126 inches, 
 
 with that above of 4x2=^.294 " 
 then the restored height of the intersection of the floor line 
 of the passage-way with the slope exterior line, as made 
 by Vyse with his own angle of 26° 41', 53-648-!- feet, 
 and with the angle of Smyth, say, 53-1975 " 
 
 and that above, 53.2476 " 
 
 Consider with these data that the measures here obtained 
 ire from use of the Parker measures of the -pyramid^ har- 
 nonizing with the general measures of the mass, and of 
 he king's ehamber ; and there is needed hut slight confirni- 
 itory evidenee that the general data taken are the original 
 and veritable ones used. 
 
 § 68. There is another numerical value, having an ele- 
 mental value, closely related to that of A C, in § 64 (2.) — 
 viz., 53.05162, say, feet = 636.61944498 inches ; as to which 
 something is to be said in the way of its application to the 
 vertical height of the descending passage-way, as an inch 
 value — viz., 53.05-f- inches, to the breadth of the same,
 
 I20 Construction of the Great Pyramid. § 69. 
 
 and to its height perpendicular to the floor line ; of which 
 hereafter. The half of 636. 6i94-f-> or 318.309722-I- inches, 
 is a diameter value to a circumference of 1000. This is 
 more noticeable since 100, the height in feet of B D, is a 
 circumference to a diameter value of 31.830972-}-, and 
 31.8309724- X 12 = 381.9716-1-, or the value of the half 
 base side of the pyramid in feet, which is a diameter value to 
 a circumference of 1200. Somewhat in this connection, the 
 length of the line A B of 343.7745-}- is just equal to 10 
 times the length of the actual measure of the king's cham- 
 ber, or an enlargement on the standard of 34-3533-}— The 
 number 343-7745-}- ^^ a diameter value to a circumference 
 of loSo. Taking this as feet, then, reduced to inches, or 
 4125-}-, it becomes a diameter value to a circumference of 
 12960 inches, which number 1296 is the number of square 
 inches to the square yard British. 
 
 § 69. There is something strongly confirmatory as to 
 the location and lenfjth of the floor line of the descendinrr 
 passage-way, as given, if there are showings to confirm the 
 fact of the distance from the foot of that passage to the 
 central axial line of the mass, being, as taken, 32.42377+ 
 feet. 
 
 (i.) One justification of this is in its connected use 
 with the length of the top line of the horizontal subterra- 
 nean passage-way to the subterranean chamber. Now, the 
 above length can be taken at 324.2377+ tenths of feet ; 
 the length of the said top line is given by Col. Howard 
 Vyse at 27 feet. This, in inches, is 324. So that, by 
 comparison, the distance along the top line to the subter- 
 ranean chamber is 324 inches ; the distance along the bot- 
 tom line to the central vertical axial line of the entire 
 mass is 324 tenths of feet. The variation from the exacti- 
 tude of comparison is .0198 of a foot (for 27.0198 feet X 12 
 = 324.2376 inches) — an amount so small that it may be that 
 this was or is included or embraced in the measure of the 
 top line. Right here, too, it will be remarked, by refer- 
 ence to the table § 53 (<5.), that 324 is a circumference to a 
 diameter of 103.132 + , which, in inches, is the half width
 
 § 69. Location, etc., of Descending Passage-Way. 121 
 
 of the king's chamber, as enlarged on the standard, or the 
 enlargement of 5 cubits; as, likewise in § 55 («.), it is 
 seen to be circumference to the base of the ideal p3''ramid 
 placed in the sphere (enlargement on the standard being 
 made). 
 
 (2.) There is another harmonic relation, which seems 
 to place the location of these lines and limits beyond ques- 
 tion, and thus to close these lines as located. The bare 
 showing of the relations serves to confirm the purposed use. 
 
 The floor line of the descending passage-way, as shown, 
 from A to B, has been stated to be 343-7745+ feet. 
 From B to C, the vertical axial line is 32.4237+ " 
 
 It seems evident that the use of 343-7745 is a use in con- 
 nection with the half base side of the pyramid enlarged, 
 or 381.97166-I- feet, 
 
 as shown in § 64 (6), and § 70. 
 
 With B C, find the length of B D, or A B protracted to D, 
 the vertical axial line of the pyramid ; then B D = 
 
 36.22189 feet. 
 Now, if the value 381.97166-I- is in contemplation in the 
 use of this floor line, add A B and B D together, to see 
 what is wanting to make up the distance 381.97166 + 
 
 and so— (i.) 343.77450 
 
 36.22189 
 1.97527 
 381.97166 
 
 The deficit is seen to be 1.97527 feet. 
 
 But, instead of summing up the total lengths^ take the line 
 B D alone, which is the hypothenuse to the distance B C,
 
 122 Construction of the Great Pyramid. § 70. 
 
 or the measure 32.4237+ feet in question, and to it add 
 the surplus required, or deficiency, 1.97527 — 
 
 (2.) 36.22189+ 
 
 1-97527+ 
 
 38.19716+ 
 and here, numerically, is the same value as obtained by 
 adding the totals. Here, 38.19716+ feet is obtained, which is 
 
 just the — part of 381.9716+ feet. The harmony is such 
 
 that it is thus deemed conclusive that the floor line of the 
 descending passage-way, as to length, and as to its location 
 relatively to the exterior slope line and to the vertical axial 
 line of the structure, has been taken agreeably to the men- 
 tal conception of the architect. In the final closing of the 
 lines of the interior works, this, it is thought, will be con- 
 firmed. 
 
 § 70. A^ote to above. The distance from the foot of the de- 
 scending passage-way floor to the center of the pyramid, is stated 
 at, numerically, 3242377-f-. There are very strong reasons in the 
 harmony of relations^ goi^g to show that this is the exactitude 
 intended ; indeed, it seems to force conviction to that effect upon 
 the mind. Whatever other uses, or interpretations, may have 
 been ascribed to the pyramid numbers, there certainly seems to 
 have been a wonderful play upon them. Take 381.97166+ ; the 
 half base side of the pyramid ; deduct from it the length of the 
 floor line of the descending passage-way — viz., 343-7745+ ' ^"^ 
 the remainder is 38.197166+, simply showing that this floor line 
 
 is iust the value of half base side less one-tenth. — , of itself. If 
 •' 10 
 
 from E, § 64 (i.), 343.77+ be measured toward the center of the 
 pyramid, there will remain next to the center a distance of 
 38. 1 97 1 66+ feet. Besides this, this 343.77+ is just ten (10) times 
 the numerical length of the king's chamber ; and in this connec- 
 tion, especially for the purpose in hand, the height of the king's 
 chamber is another play upon this value — viz., 19.09S5S3+ feet. 
 
 But to the present purpose of showing some possible uses of 
 334237+, which may help others in this study- 
 
 (a.) Construct a pyramid out of the original Parker elements, 
 which shall be in the proportions of the one in question : the 
 height will be 6561, and the base side will be 5153 X 3 =1^ 10306.
 
 § 70- Location, etc., of Descending Passage-Way. 123 
 
 If this pyiamitl be placed in a sphere^ the axial line of the pyr- 
 amid — that is, its vertical axial line, or 6561 — to become the radius 
 of such a sphere must be extended until its length becomes 
 7337.658816-}-. If this value be divided by 20612, the quotient 
 will be 355-50454-. 7327.-}- being in inches, divided by 20.612, 
 the quotient, or 355.-|-, is in the value of cubits. Take the height 
 of the king's chamber, and to its numerical value add this quo- 
 tient as follows : 
 
 1909S5S3+ 
 355504+ 
 
 194540S7 
 Divide this sum by 6 and the quotient will be 3242347-}-. 
 
 ((5.) But, again, the enlargement, so much used throughout 
 the pyramid works, on the cubit standard value, in inches of 
 
 20.612 is 20626.47001 7-}-. This X — = 330023.520272; and 
 
 this divided by 20.612= 1779. 024S, as the enlargement of the 
 standard cubit value of the circumference of the pyramid — viz., 
 
 i777-777~f~- One-fifth j — j of this enlarged value 355.8049, is 
 
 the enlargement on the corresponding division of i777"4" divided 
 b}'- 5, or 355-555-}-. Now take, again, the numerical value of 
 height of king's chamber, and add this enlarged cubit value to 
 it— 1909S583 
 
 3558049 
 
 194543S79; 
 and the one-sixth ( ^ ) of this is 32423979. 
 
 (c.) Take the mean of the resultant values in (a.) and ((5.) : 
 
 32423979 
 
 3242347 
 
 2 I 64S47449 
 3242372-f-. 
 Compare with this the numerical value of the distance from B in 
 § (>6^ to F, or 32.42377-}- feet. The difierence seems to be 
 5 I 1 00000 of a foot. 
 
 On the face of the workings of the numbers, with their seen 
 relations — viz., (i.) to the value of the circumference of the pyr- 
 amid, and (2.) to the extension of the axial line of the same to 
 obtain the radius of its containing sphere, and (3.) to this shown 
 o be related number down in the subterranean, as it were toward
 
 124 Construction of the Great Pyramid. § 71. 
 
 the center of this sphere : add to these the general marvelous ac 
 curacy of adjustment of the various measures through which thia 
 measure is attained, with the best measures of these various pai'ts 
 with the angles of direction ; and, again, that these are every one 
 of them Parker and pyramid elements. This done, the effect on 
 the mind is strong that the measures taken, with their uses as 
 shown, determine the location of the central axial line of the 
 pyramid, agreeably to the mental conception of the architect. It 
 must be observed, however, that this very number may have va- 
 rious uses, agreeably to the wonderful interplay of these pyra- 
 mid numbers at every turn. 
 
 One thing further is worthy of consideration — viz., the differ- 
 ent lengths of lines, or measures, of rooms, passage-ways, coffer, 
 and, by inference, of the whole mass of the pyramid, raising a 
 system of variations, very minute it is true, but nevertheless, 
 pointing to a system of recognition of variations on some stand- 
 ard or standards. Agreeably to this, all the above results might 
 have been in contemplation, as the difference, or variation, be- 
 tween 32.42347, 32.42397, and 32.42377 could not possibly be 
 given in any mechanical work ; for the differences .00047, 00097, 
 and 00077 ^^ ^ ^'^^^ ^^'^ inappreciable. 
 
 SECTION VII. 
 
 THE DESCENDING PASSAGE-WAY IS SET OFF TO THE EASTWARD 
 OF THE VERTICAL AXIAL LINE OF THE PYRAMID A DISTANCE 
 OF 24.42190 FEET. 
 
 (§ 71.) The mouth or entrance of the descending 
 passage-way is upon the north face of the mass ; and while 
 its end or foot terminates at a distance of 32.44- feet to the 
 north of the center, the whole passage is set off to the 
 eastward of the same center. Agreeably to the estimates 
 of Col. Vyse, this descending passage-way, as to the cen- 
 ter longitudinal line of its floor, is set off from the vertical 
 axial line of the pyramid a distance of 294 inches, or 24.5 
 feet. Col. Vyse must have taken this measure of 24.5 
 feet relatively to his estimate of the length of the side of
 
 § 7i« Descending Passage to one Side of Center. 125 
 
 the base, which was 764 feet. Corrected at 763.9432+ 
 feet, which is supposed ta be the exact measure intended, 
 works a correction on 24.5 feet, as follows: 382 — 381.- 
 p7i66 = .0284, to be deducted from 24.5 feet, leaving, as 
 the corrected distance, as Col. Vyse must have made it, 
 had he used these data, the sum of 24.4716+ feet. 
 
 It appears that the passage-way was set off to about this 
 distance, as designative of the final difference of 216330, 
 obtained by placing the pyramid in its standard dimensions 
 in a sphere, as already set forth. As this number has been 
 shown to be instrumental in giving one value, toward the 
 center, of 32.42347, so it appears, likewise, by use of the 
 same numerals, but under another form, to fasten the loca- 
 tion of the other distance from the center. 
 
 (a.) The radius of the sphere in which the pyramid 
 was placed was shown to be 7327.6588172+, which, re- 
 duced to feet, is 610.63S23 + . From 7327.6588172+, there 
 was taken the difference of 216330, as an elliptical prop 
 erty. It seems that this number, as such, was preserved 
 intact (on different scales of measure), and was deducted 
 from 610. + as follows : 
 
 (i.) 610.63823 — .216330 — 610.42190 feet, 
 leaving a base of calculation regulating several governing 
 measures of the interior works. 
 
 (p.) Let the pyramid inclosed in a sphere be taken at 
 the standard height — viz., 486 feet. Add to this the depth 
 of the floor of the subterranean passage-way of 100 feet, 
 below the base of the pyramid. The sum will be 586 feet. 
 Let it be taken that the intention was to use these values so 
 that a mark would exist in the works, that this process had 
 been gone through (a.) (i.) From the 610.42190 feet 
 take the 586 and it will show the distance from the top of 
 the pyramid, taken from the radius of the circle, less the 
 amount of the ellipticity shown, or 216330, thus : 
 
 (i.) 610.63823 — 586 + .216330= 24.42190 feet. 
 Thus showing the bottom of the subterranean passage-way 
 to be above the true center of the sphere a distance of 
 (2.) 24.42190+ ,216330 = 24.63823 feet.
 
 126 Construction of the Great Pyramid. § 72. 
 
 (c.) From the center axial line set the central longitudi- 
 nal line of the passage-way off this distance of 24.42190 
 feet, as indicating the above process, and let this be the 
 fixed limit line for the interior works. By Col. Vyse's 
 measures as corrected, this limit line is shown to be fixed 
 at 24.47 i-j- feet from this axial line. By comparison, then, 
 
 Col. Vyse's distance, 24.471-I- 
 
 By above, 24.4219 
 
 Difference, .0491 
 
 6 
 
 or — of one inch ; an amount to be allowed as his error of 
 10 
 
 measure, provided the assuming the above distance be sup- 
 ported as correct by other showings, in related measures. 
 
 While, therefore, the foot of the descending passage-way 
 has been shown to be distant from the vertical axial line of 
 the pyramid, to the northward 32.42347-j- feet, the same, 
 from calculations growing out of the like governing data, 
 is assumed to be set off to the eastward of the same axial 
 line 
 
 24.42190-f- feet, 
 as indicating the geometrical conditions, or relations, made 
 by placing the pyramid in a sphere ; modified by the re- 
 jection of the value .216330. 
 
 SECTION VIII. 
 THE DIMENSIONS OF THE DESCENDING PASSAGE-WAY. 
 
 § 72. The question as to the dimensions of the descending 
 passage-way may now be taken up. It has been seen that 
 all the measures of the structure have their origin in the 
 relation of circumference and diameter values of a circle 
 It would be exceedingly appropriate that in the act of en- 
 tering the passage-way, one should, as a matter of fact, 
 enter through the actual expression of those values. Such 
 seems to have been the case.
 
 § 72. Dimensions of Descending Passage-Way. 127 
 
 Col. Vyse's measures of this passage are : 
 (i.) Breadth, 41.5 
 
 Height perpendicular to incline, 47.0 
 Professor Smyth's measures are grouped together, as 
 means of a series, and are as follows : 
 
 (2.) Breadth near bottom, 41.61 to 41.46 inches. 
 " top, 41.63 to 41.41 " 
 Mean of all, ^^-53 *' 
 
 (3.) Height perpendicular to incline : 
 
 West side of floor, 47.16 to 47.30 inches. 
 East side of floor, 47.14 to 47.32 " 
 Mean of all, 47-24 " 
 
 But he characterizes this measure as 47.3 inches. 
 (4.) Height vertical to base of pyramid : 
 In one place, 52.68 inches. 
 
 In another " 52.36 " 
 There seems to be very little, if any, difference between 
 the dimensions of the descending, and of the ascending, 
 passage-way ; and, as the red granite portcullis blocks 
 seem to have been intended to give these measures, it is 
 well to give Professor Smyth's measures of the same — viz : 
 (5.) Height perpendicular to incline, 47.3 inches. 
 Breadth, 41.6 " 
 
 Height vertical to base of pyramid, 53.0 " 
 [a.) In § 64, the point A being the intersection of the 
 floor line of the descending passage-way, is in vertical 
 height above C, 31 cubits, or 53.24766+ feet; while E C is 
 41.82064 feet. Attention was called to a numerical value 
 very near to this height line — viz., 53.05162, say, feet. 
 Had the value been this last one, its meaning would have 
 been a very peculiar one, for, in inches, it is 636. 61944 -f, 
 and the half of this is, numerically, 3 18309+ , or the value 
 of diameter to a circumference of unity ^ or one. 
 
 Take the proportion (see diagram, § 64) : 
 (i.) (AC : EC), or 53.2476 : 41.8206 :: 53.05162 : 
 
 41.6666+ ; 
 and here in the last terms are to be found the vertical 
 height, and the breadth of the portcullis blocks, (5.) above,
 
 128 Construction of the Great Pyramid. §72. 
 
 as given by Professor Smyth, in the scale o{ an inch to the 
 foot; and a minute change upon the dimensions of the de- 
 scending passage-way, as given by him. 
 
 It must be noticed that the vertical height of the passage 
 is simply dependent on the accident of its angle of eleva- 
 tion, and that angle being 26° 28' 24" 10, for a vertical 
 height of 53. 05162, the height of the passage perpendicular 
 to the incline must be 47.48771-]- inches, instead of 47.16 
 or 47.32, the extremes given by Professor Smyth; show- 
 
 16 
 ingf thus a difference of — of an inch on his extreme. 
 ^ 100 
 
 (3.) If it is as stated by Professor Smyth, that there is 
 throughout the works the exhibition of two sets of meas- 
 ures throufih biased lines, let it be taken that while there 
 is in the dimensions of this passage-way the relation of 
 circumference of 07ie to its diameter, as seen, it was in- 
 tended to display the reverse relation, also, of circumfer- 
 ence to a diameter of one, then : 
 
 (!•) 314159+ X 2 = 6283184 -M2 = 52.3598-f feet. 
 And, carrying out the proportions — 
 
 (2.) 53-05i6-f : 47.48778+ :: 52-3598+ • 46.8684+; 
 in which the last term is the height perpendicular to the 
 incline. 
 
 (c.) Suppose both of these measures to have been in- 
 ferred bv the exhibition of their mean values, then there 
 results the use of two sets of measures, as follows : 
 (I.) Height vertical, 53-05i62 52.3598 
 
 Height perpendicular to incline, 47.4S778 46.868 
 Breadth, 41.66 41. i 
 
 of which the mean would be — 
 
 (2.) Height vertical, 52.7057 inches. 
 
 Height perpendicular to incline, 47.1778 " 
 Breadth, 4^^-39 " 
 
 The measures of Professor Smyth give like values, as — 
 (3.) Height vertical, 52.68 to 52.36 
 
 Height perpendicular to incline, 47.16 to 47-32 
 Breadth, 41-41 to 41.61 
 
 where, in 52.68, 47.16, and 41.41, this set of mean values.
 
 § 72. Dimensions of Descending Passage-Way. 129 
 
 had it been intended, would hardly have been more nearly- 
 measured than thus shown. It is worthy of notice, too, 
 that the portcullis blocks are in the color of the king's 
 chamber, which, in its height, is a diameter to a circum- 
 ference of 60, the base of 360°, or time measure. Now, the 
 measures of these blocks, as given, denote, in 53.0, the re- 
 lation of diameter to a circumference of U7iity — the very 
 change on which the king's chamber height is founded. 
 
 There is much to be said in favor of these results. They 
 grow out of each other, and are proportional to the pyra- 
 mid relations A C : C E. In doing so, they involve three 
 relations of dimensions in this passage-way, and develop each 
 relation , as it has reference to the actually measured one, with 
 the accuracy seen. Besides, the germ of the measures is 
 in perfect harmony with the use of all the measures used 
 in and about the structure ; and gives the unit values of di- 
 ameter and circumference of i : 314159, and of I : 318309 
 as relations, which, for extended cosmical uses, are used 
 in the integral forms, 6561 : 20612, and 113 : 355. 
 
 {d.) There is a very strange coincident, and real natu- 
 ral relation, which goes very far to support, not only what 
 has been said, but serves to strengthen the general scheme 
 as to the use of the pyramid measures, as co-ordinating 
 thne and distance \2X\xq?.. This 53.05126+ feet, or 6'^6.' 
 61944+ inches, shows the relation of — 
 
 (i.) 636.61944 ^ 2 = 318.309+, 
 or of diameter to circumference of 1000, or of one. Take 
 the received value of the earth's equatorial diameter in 
 miles, or 7926.6789+ miles. Square this value, and there 
 results 62832238.3837+ miles in area. Divide this, as in 
 (I.) above, and there results — 
 
 (2.) 62832238-^-2 = 3x416119. 
 
 Compare this result with the relation of circumference to 
 a diameter of unity as an abstract one — 
 
 (3.) 3141611 — 3141594 = 0.000017, 
 and this shows an amazing relation between the square of 
 the earth's equatorial diameter in miles and the abstract re- 
 lation of diameter of unity to its circumference, the exacti-
 
 130 Construction of the Great Pyramid. § 72 
 
 tude being included in the variation of the measure of this 
 passage, or between its limits. Take it the other way, 
 with Parker's ratio of circumference to diameter of unity, 
 and V31415942 X 2 = 7926.565 + . While this is so, as 
 has been seen, the other relation of circumference as one to 
 d'lameter as 318309 was made use of to raise from 6 the 
 value 360°, or the measure, geographically, of this self- 
 same equatorial, as to its circumference, to make it co- 
 ordinate with solar time value on the celestial circle of 360°. 
 So, it thus seems that the above processes were likely used 
 as recognizing and making practical use of these relations. 
 
 On assumption, then, with this showing, the measures of 
 this passage-way are takenyi?r a mean value of, for 
 Height vertical, 52.7058 inches. 
 
 Height perpendicular to incline, 47.1778 " 
 Breadth, 41.39 *' 
 
 and it will be seen that this intention was carried out. 
 
 (e.) It is necessary to obtain some of the above dimen- 
 sions before one can make any study of the works con- 
 nected with the ascending passage-way, as to their relations 
 to the descending passage-way, and to the mass of the 
 pyramid. 
 
 The fact of the dimensions of the descending passage-way be- 
 ing constructed on biased lines, the mean of which are given 
 above, might be accompanied by a biased condition of the as- 
 cending passage-way ; so that a choice as to elevation of the foot 
 of the ascending passage-way, could be made between the ex- 
 tremes of 46.868 and 47.4876, the mean being, as has been stated, 
 47.1778. 
 
 For connection of the upper works, the perpendicular
 
 § 73* The Location of Ascending Passage- Way. 131 
 
 AC, from the roof end of the descending passage-way to 
 the floor of the horizontal passage-way to the subterranean 
 chamber must be had in its measures. Let the values of 
 the lines in the diagram be as follows : 
 (i.) B D, Height perpend, to incline, 47.30836 inches. 
 (2.) AB, parallel to slope lineof pyr., 48.30736 " 
 (3.) AC, perpend, to horizon, passage 37.9908 " 
 A reason for this becomes manifest. Take the two rela- 
 tions of diameter of i to a circumference of 314159, and 
 circumference of i, to a diameter of 318309. Their sum 
 is 632468, and their mean value will be 
 
 316238. 
 37.9908 inches, -4- 12 = 3.16590, showing a difference of 
 .00352 of a foot, to verify all that has been said. The 
 use then is the mean of the abstract values stated X by 12. 
 
 SECTION IX. 
 
 LOCATION OF INTERSECTION OF FLOOR LINE OF ASCENDING 
 PASSAGE-WAY, WITH THE ROOF LINE OF DESCENDING PAS- 
 SAGE. 
 
 § 73. The dimensions of the descending passage-way 
 give the juean measures, 
 
 Height vertical, 52.7058 inches. 
 
 Height perpendicular to incline, 47-178 " 
 A variation on the last of these measures, to locate the as- 
 cending passage way, is taken at 
 
 Height perpendicular to incline, 47.3083 inches. 
 (Professor Smyth's measure, 47.3000) " 
 
 Having these data, the next step in order is to ascertain 
 the point of intersection of the floor line of the ascending 
 with the roof line of the descending passage-way. 
 
 [a.) The author found a point in common between the 
 measures of Colonel Vyse and Professor Smyth of the de-
 
 132 Construction of the Great Pyramid. § 73. 
 
 scending passage-way ; which point turns out to be of im- 
 portance as to the location of the ascending passage-way. 
 Colonel Vyse commenced his measures from B, giving 
 the total length B D at 3850 inches. (The edge of the 
 
 roof stone B, is a broken and an uneven edge, and for a 
 finish may have projected beyond its present face). From 
 B, he says, to the junction of the first ascending passage- 
 way is 758 inches. Professor Smyth measuring from A, 
 gives AB' at 162.3 inches, then from A' to C, that is, 
 " from basement beginning to joint 18 situated up in a hole 
 which is the continuation of portcullis blocks," (or of the 
 upper line of the ascending passage-way), " of first as- 
 cending passage-way, and in their inclined line," 981.9 
 inches. C is at this point, or joint. Then from B to C' 
 by Mr. Smyth, is 981.9 — 162.3 — 819.6 inches. He gives 
 the distance from O, or joint 17, to C as 60.0 to 60.3, 
 inches ; then from B to O is 819.6 — 60.2 = 759.4 inches. 
 Take it so, 759.4 inches. 
 It is to be seen that the point O is at the junction, and 
 Colonel Vyse says it is distant from B, 758 inches. This 
 seems to raise a common objective point of measure for 
 these gentlemen, with a difference of 759.4 — 75S = 1.4 
 inches ; which perhaps may be accounted for in their points 
 of beginning to measure, respectively. It is from these data
 
 § 73- The Location of Ascending Passage-Way. 133 
 
 that, it is thought, the location of the point C can be re- 
 covered. 
 
 Colonel Vyse gives it, B D — B 0= 3850 — 758 = 3092 
 
 inches ^ O D. 
 Thislastresult suggests, at once, a Parker (and pyramid) 
 measure — viz.. 
 
 Standard circumference, 2d6i.2 inches. 
 Increased by its one-half, 1030.6 
 
 a 
 
 Together, 3091.8 
 
 By Colonel Vyse, 3092.0 
 
 Difference, .2 
 
 (< 
 
 or — of one inch, in this many thousands of inches. 
 10 •' 
 
 Let it be taken that this measure of 2061.2 -|- 1030.6 = 
 
 3091.8 was intended, as in inches, for the distance from O 
 
 to D. Professor Smyth gives the value O C at 60.2 inches, 
 
 or 5.01 feet, and the distance C C measuring from the 
 
 basement beginning, at 1022.2 — 963.0 = 59.2 inches, or 
 
 4.933 feet ; or O C + C'C = 60.2 + 59.2 = 119. 4 inches ; 
 
 or 5.01 + 4.933 = 9-943 feet. Then for the distance C D, 
 
 3091.8 — 119.4 = 2972.4 inches, 
 
 or, 247.70 feet. 
 
 By calculation. Colonel Vyse's measures of this distance 
 
 would have been, 247.71 feet. 
 
 Let the distance C D, then, be taken at, 2972.4 inches, 
 
 or 247.7 feet. 
 
 Floor line of ascending -passage-way, -with relation to the 
 base of the pyramid, to the levels of the queen's and king's 
 chamber, and to the vertical axial line of the mass, 
 {b.) From data obtained 
 
 A C = 247.70 feet. 
 Angle B A C = 26° 28' 24^1 
 
 " ACB = 63°3i'35"9 
 " B=- 90°
 
 134 Construction of the Great Pyramid. § 73. 
 
 Then A B will equal 
 " BC " 
 
 C H (§ 72, e, 3,) 37.9908 inches 
 
 Then CB + CH = BH = 
 
 221.726871 feet, 
 no. 419458 " 
 3.16590 " 
 
 113-58535 " 
 
 Note. — To get B C and AB, there are proportions to be found 
 in § 64 : for there A C -|- D B = 153.2476, and A B = 343 7745. 
 Now, AC being given at 247.70, and being part of the same 
 lines, we have the proportion, 
 
 343-7745+ : 153-2476+ =: 247.70 : 110.419458 feet, 
 and, 3437745: 307.7273 :: 247.70 : 221. 736S71 feet. 
 
 But, from H to K', the base of the pyramid, is 100 feet, 
 as has been taken ; then, B H — H K' will equal B K', 
 or the vertical elevation of the point A, or intersection of 
 the floor line of the ascending with the roof line of the de- 
 scending passage-way above the base. 
 
 This distance, or B K' = 113.5853 — 100 = 13-5853+ 
 feet. 
 
 (c.) For the measures of the lines in the diagram, con- 
 nected with the ascending passage-way, reliance is had on 
 the measures and results of Professor Smyth. His care 
 and painstaking, one may say, even increased, as to the 
 accuracy of his measures, as he ascended. Very great re-
 
 § 73- The Location of Ascending Passage-Way. 135 
 
 liance is evidently to be placed in his results, even to hun- 
 dredths of inches. He gives, as elements to work by — 
 (i.) The distance A M of the floor of ascend- 
 ing passage, 123.683 feet 
 The angle N A M = 26° 6' 
 (2.) The distance ML of length of grand 
 gallery floor line, to where it strikes the 
 south wall of same, 156.9 feet. 
 The angle L M R, 26° 17' 37'' 
 From these angles, A M N = 63° 54' 
 and M L R r= 63° 42' 23" ; 
 and, with these angles, the following are the values of the 
 lines : 
 
 (3.) AN = III. 07 1 feet 
 
 NM= 54.413 " 
 (4.) MR= 140.666 " 
 LR= 69.502 " 
 {(i.) AN + MR = 111.071 + 140.666 
 = AF= 251.737 feet 
 
 C H, taken at 37-99o8 [§ 72 {e-) (3) ], G H 
 
 will be 29.8379 inches, or, in feet, 2.48649 " 
 
 The distance from G to the vertical axial 
 
 line of the pyramid was 32.42377 " 
 
 Deduct GH, 2.48649 " 
 
 equals from, say, H or B to the axial line, 29.93728 " 
 or A B + this distance = 221.726871 4- 
 
 29.93728= 251.66415 " 
 
 A F has been shown to be 251.737 " 
 
 Difl^erence, ,073 '* 
 
 7 
 or — of a foot, to which distance A F is made to project 
 
 be3^ond the vertical axial line of the structure ; or this ap- 
 proximation would go to show that the south wall of the 
 grand gallery and the vertical axial line Avere in common, 
 because so slight a variation was hardly to be intended. 
 At any rate, this is considered to have been the case, from 
 the showing.
 
 136 Construction of the Great Pyramid. § 73. 
 
 (e.) Take the vertical distance of L, on the south wall 
 of the grand gallery, above the base of the pyramid — 
 
 (i.) LR= 69.502 feet 
 
 NM= 54.413 " 
 
 B K' to base of pyramid =^ 13-5853 " 
 or a total of 137-5003 " 
 
 as the height at which the floor line of the grand gallery 
 strikes the south wall of the same, above (vertically) the 
 base of the pyramid. 
 
 Take 4 times the length of the king's 
 chamber, or 34-3774+ X 4, and it is 
 equal to 137.50980 feet 
 
 Compare these results — 
 
 L K on the diagram, 137.5003 " 
 
 4 times the king's chamber length, 137.5098 " 
 
 Difference, -0095 " 
 
 or 9 I 1000 of a foot. 
 
 li ynay be taken, then, that the intention of this height, 
 as to what it should be, zvas, that it should be four times 
 the length of the king's chamber, as enlarged on the stand- 
 ard, or four-tenths the length of the descending passage- 
 way. 
 
 This value has already been referred to ; for 137.5097-f- 
 feet, are 1650. 1176 inches, and this value is a diameter to a 
 circumference of 5184, or the characteristic value of the solar 
 day, which is 5184-000"'. Here we can see a linking 
 together of values ; for the dimensions of the descending 
 passage-way, are of a nature that seems to bear relation 
 to the square of the earth's equatorial diameter ; and they 
 are so framed, and located, as to give this vertical height, 
 of a diameter of a solar day value. A result of this kind, 
 fitting so accurately to the uses of the Parker forms, fully 
 compensates for the detailed trouble of arriving at it.
 
 § 74* Interior Geometrical Construction. 137 
 
 SECTION X. 
 
 ABSTRACT GEOMETRICAL ELEMENTS. 
 
 § 74. As all of the elements of measure indicated are 
 seen to spring from the use of one geometrical problem, it 
 is necessary to group the results springing from that prob- 
 lem, as applicable to these various locations, together. 
 
 {a.) The discovery of an enlargement on the standard 
 measure, that is, standard 20612, enlargement 20626.- 
 470017 (§ 43, § 51, § 54), growing out of a principle — viz., 
 to obtain from 20612, circumference, to 6561, diameter, the 
 formula — 
 
 (i.) 20612 : 6561 : : I : 3183097224917, 
 by which there is obtained a circumference of tintty, to a 
 diameter of 318+, becomes of greatest consequence in the 
 construction of the pyramid. The application of this en- 
 largement on the standard has served, as shown, to develop 
 the measures of the king's chamber, with other features ; 
 and now, in connection with a geometrical exhibition, it 
 will serve to bring out the various relations indicated at the 
 heads of this section. 
 
 {b.) The standard base of the pyramid is 763.4074074+ 
 feet. 31.8309722491 + , the numerically new diameter 
 value to a circumference of unity, if multiplied by 24, = 
 763.943333980-I- feet, as the enlargement on the standard 
 for that base side. Take the standard measures of the 
 pyramid, viz., height 486 feet to base side 763.4074, and 
 find, with these, an extreme, of which 486 is a mean -pro- 
 ■portional, as follows : 
 
 (i.) 763.4074+ : 486 :: 486 : 309.3970502, 
 and represent this geometrically, where, as per diagram, 
 A D=: 763.4074+, 06 = 309.3970502, and CD =1486. 
 It is seen that the diameter of the circle to represent this 
 mean proportional is 763.4074 + 309.397 = 1072.80445+ ; 
 and the radius is 1072.80445 -f- 2 = 536.40222+ : and these 
 measures are in reality a commingling of standard and en-
 
 138 Construction of the Great Pyramid. § 75. 
 
 largement ; for the proportion is of the same nature with (i.) 
 
 in (a). 
 
 c 
 
 Length of King's Chamber Level. 
 
 § 75. Let A be the edge of the great step, in the upper 
 and south end of the grand gallery ; A B, the passage-way 
 level to the king's chamber, and BC, the width of the king's 
 chamber. 
 
 I — 
 
 3 
 
 — +— 
 
 c 
 
 It has been shown that the width of the king's chamber 
 is an enlargement on the standard of 17.17666+ feet, or 
 ten cubits, and is 206.2647+ inches, as enlarged on 206.12. 
 Professor Smyth gives the measure A B as 330.3^ inches. 
 Add the two lengths : 206.2647 + 330.3 = 536.5647 inches. 
 Compare this with the radius value above : 
 
 Radius value, 536.40222 inches. 
 
 This level length, 536.5647 •' 
 
 Difference, -1625 " 
 
 Consider the king's chamber width as used for this pur- 
 pose at the standard y and then add the lengths 206.12 + 
 330.3= 536-42 inches. 
 
 Radius above, 536.402 " 
 
 (< 
 
 Difference, .018 
 
 These correspondences are thought to show the origin 
 of this line.
 
 § 76. Interior Geometrical Construction. 139 
 
 JVote, that if this .018 of an inch is taken as the correction of 
 330.3, as 330. 2S3 inches, then we had the equatorial diameter of 
 the earth as 7926. 926S ~ 24 = 330.2886, thus showing a wonder- 
 ful exactitude of relation. 3302886 — 330.282 = .0066 of one 
 inch difference. This is a very strong corroboration of the truth- 
 fulness of all the measures taken as cJiccked hy tJiis result. As 
 seen, this result is the half the equatorial diafneter of the earth, 
 as radius., divided into 12 parts ; showing a measure of time and 
 earth distance relations. How exquisite and exact this is, in con- 
 nection with the Hindu system, displayed in the king's chamber, 
 for working out sines, cosines., tangents., co-taitgents., and ■plan- 
 etary orbits ! 
 
 Elements of Dimensions of ^iccn^s Chamber. 
 
 § 76. This geometrical form gives also the grand out- 
 lines of the queen's chamber. The form contains, as seen 
 (§ 74), the standard elements of measure of the outside shape, 
 and this outside was clothed in -white as a color. Now, the 
 queen's chamber is in tuhite, in contrast with the king's 
 chamber, which is in red. The white of the queen's 
 chamber may, then, indicate a relation coming from the 
 same source or elements with the measures of the exterior. 
 Take it that this is so, and that the angle of the roof of 
 that chamber is but a copy of the geometrical form and an- 
 gle C B E, § 74. The angle C B E = 57° 31' o6".3 X 2 =- 
 115° 02' I2"6, and this is taken to represent the angle of 
 the roof of the queen's chamber. The line C E corre- 
 sponds with the north and south length of the room, and 
 Professor Smyth gives this length — 
 
 On the east side., at 206.5 to 204.7. 
 
 On thQ west side, at 206.0 to 206.3. 
 These but serve to indicate the real measure of 206.12 
 inches, as a radical standard measure. There is given, 
 then, the length C D = 103.06, and the angles C, D, and 
 B, to find the lines D B and C B ; and these are — 
 
 (i.) DB= 65.5766 inches. 
 CB = 122.108 " 
 As this is but a reduced form of the geometrical problem, 
 then —
 
 140 Construction of the Great Pyramid. § 76. 
 
 (2.) 309-397 : 65.5766 :: 763.4074 : 161.803, 
 and the circle of the queen's chamber, thus indicated, would 
 have a diameter of 161.803 + 65.5766 = 227.379+ inches ; 
 and, in fact, this does indicate the measured length, east 
 and west, of this very chamber, for Professor Smyth gives 
 this measure at — 
 
 On the south wall, 227.4 
 
 On the north wall, 226 to 226.5 
 Compare this measure, 227.379 
 
 with Professor Smyth's, 227.4 
 
 Difference ( of an inch | , .021 
 
 \ 100 ) 
 
 Thus the proportionate and basic measures of the queen's 
 chamber, as to all but the heights from the floor, which is 
 in the rough and unjinishcd (which seems to show that the 
 elements of measure as relates to the floor were not to be 
 taken into consideration), become restored in terms of this 
 geometrical problem, and in the use of the standard meas- 
 ures (as in contrast with those of the king's chamber, which 
 are in measures enlarged on the standard), as follows: 
 (3.) Lengthof the room north and south, 206.12 in. 
 
 *' " " E. & W. (one meas.), 227.379 " 
 " of incline of roof, 122.108 " 
 
 Height of room in the gable, 65.5766 " 
 
 Not only so, but these measures are all connected to- 
 gether under one problem, inasmuch as the height line re- 
 jected as indicated by the unfinished floor, is, yet, set forth 
 in another element — viz., the length east and west — as 
 227.379, as the diameter of the circle, of which the extremes 
 are 161.803 and 65.5766, to copy the form in § 74. Sub- 
 ject to the different measures raised by reason of the biased 
 line, the beautiful harmony and outcome of these measm-es 
 from these proportions, seems to stamp them as correctly 
 taken, agreeably with the basic or standard idea of the 
 architect. 
 
 It is but right to say that there is a serious discrepancy 
 between the measures of Colonel Vyse and Professor 
 Smyth as to the measured height of the walls, and of the 
 gable, or D B distance. Colonel Vyse gives the total
 
 § 76. Interior Geometrical Construction. 141 
 
 height at 243 inches from the floor (or from some recognized 
 mark or line above the rough and unfinished bottom). 
 
 He gives the distance D B as 66. inches, 
 closely approximating 65.5766, considering the difficulty of 
 obtaining this measure. How he took his measures is not 
 known ; but it is strange that in the number 243 he has hit 
 upon the exact numerical value of the half height of the 
 great pyramid taken at the standard, and 243 — 65.5766 = 
 177.4234, which is extremely close to 355 X .5 =^ 177-55 to 
 a diameter value of 113 X -5 =56.5, which is the founda- 
 tion measure of Moses in the construction of the Taber- 
 nacle. Had these proportions been intended, the gable 
 would have been 65.6, and the diameter would have been 
 
 .06 
 227.46; differing from Professor Smyth's by of an 
 
 inch — an allowance very readily to be made in the difficult 
 conditions of the room. 
 
 (a.) (It is well to note here, that in this queen's chamber seems 
 to be the use of the 1 13 to 355, or Hebrew form, with relation to, 
 or in connection with, the Parker or pyramid relations 6561 to 
 5153 X 4= 20613. One such relation has just been shown. 
 Great stress is laid in the Bible upon the word for hcel^ occurring 
 as it does in the Garden of Eden, and being the name of yacob^ 
 who was the father of the division of the year into 12 and 13 
 months. Reading the values of the letters of this word which 
 is iDpT^, and there is 712 (which may also be used as 217). 
 
 Mark the uses, or one use — 
 
 712 : 226.63, or 113.31 X 2. 
 
 356 : 113 31 
 
 6561 : 226.62 
 
 113-355 ' 356-115 
 It thus appears that 713 is a circumference to 226.62 as a di- 
 ameter. It was shown that 1 13.+ was a circumference to 36, and 
 that two were used in the Garden of Eden, or 113 X 2 = 226. 
 (See §62 («.), §86, §87.) Now, it is most strange that in the 
 Hindu personified representation of this garden, a female is repre- 
 sented as bending the heel of the left foot before and touching the 
 mouth of the pudenda, which of itself is characterized by the 
 number 7, as the female time originating number, and circle of 
 
 355 
 
 113 
 
 20612 
 
 356 
 
 20613 
 
 712 
 
 6561 
 
 20612
 
 142 Construction of the Great Pyramid. § 76. 
 
 the week; so, thus 713, or the heel, in this use, thus becomes 
 marked as the pudenda, or a circle of time [§92, (a.) (<5.) (d.) ]. 
 In fact, Hargrave Jennings, in Rosicrucians, page 332, says: 
 " The late Dr. Donaldson has a dissertation upon the word ^p V? 
 Jacobs which is translated ' heel^ in Genesis iii. 15. He adduces 
 Jeremiah xiii. 22, and Nahum iii. 5? and comparing the words 
 made use of in the original, shows that the '•heel' is a euphem- 
 ism, as are the ''feet ' in Isaiah vii. 20. His exhaustive argument 
 demonstrates that the part intended to be signified by the word 
 is pudenda muliebria." One value of the words Garden of 
 Eden^ as added, is 177, and this is the height with the gable of 
 dd, which Colonel Vyse takes to make up his 243. When Jacob 
 
 had his name changed, it was to Js (or Jcs), R A L, J^CVU'*', 
 or 13-213; where, from " y (or yah), is heel" or 712, it now 
 becomes " yes (or ycsus), is 213," which is also the Hebrew 
 word head, or t^X")' ^^ " y^^ (Ji^^ ^ form of ' man '), is hcadf 
 and head, or 213, is 355 X 6 = 213.0, the form of the first word 
 in Genesis.) 
 
 There is some confusion in the methods employed by 
 Professor Smyth. He takes the height of the walls at 
 
 " 182? 184.5? Mean, 183.2 
 181? 182? " 181.5 
 
 Mean, 182.4" 
 
 apparently bringing out the value 182.5 x 2 ^ 365. It is 
 possible that this was intended as permissible, in a variable 
 height, or as leaving an open value. Independently of this 
 he takes the gable measures at 
 
 245.4 244.9 niean, 245.2 
 
 244.2 000. " 244.2 
 
 243.9 000. '* 243.9 
 
 Mean, 244.4 
 
 ■which show that there may have been some indication or 
 mark noticed by Colonel Vyse, fastening him to the meas- 
 ure 243. Professor Smyth then works out 244 — 182.4 = 62. 
 inches, for the gable height, in place of 66. by Colonel 
 Vyse. 
 
 There is but this to be said, that where the floor is in the
 
 § 77* Interior Geometrical Construction. 143 
 
 rubble, and evidently uneven, it would seem that a set of 
 measures on the sides, averaged, would not be at all a cer- 
 tain measure to be deducted from the gable measures, taken 
 in the center of the room, because one is not sure of a com- 
 mon -plane of measure. Any departure from accurate 
 measuring, however, or from a sound judgment as to proba- 
 ble relations of parts, would be a wonder in the practical 
 labors of Professor Smyth. 
 
 Passage to ^ieen''s Chamber. 
 
 § 77. Bearing in mind that the level of the floor, from 
 the edge of the great step to the king's chamber, comes 
 from the geometrical formula (§ 74) {b.), (2.), (see also § 75), 
 and that, by a proportional use of the same, the proportions 
 of the queen's chamber are produced, the following, giving 
 the length of the passage-way to the queen's chamber, 
 from the use of the values in the same problem, seems to 
 have weight. 
 
 {a.) The number 309.397050 is but an enlargement on 
 
 the value, as to its kind, of 20612, as follows ; Add to the 
 
 latter the half of itself, and there results, in standard 
 
 measure— 
 
 (i.) 20612 -f- 10306 = 30918. 
 
 The enlargement on the king's chamber, taken at the stand- 
 ard measure of 34-3533-f-? was — 
 
 (2-) 34-3577450' and this X 9 = 309.397050, 
 as above. Then, 309.397050 is but an enlargement on the 
 standard measure 309.18. The difference is .217050. 
 Raise this difference, thus — 
 
 (3.) 217.050 X 7 = I5I9-35C*. 
 If this be taken as 1519.350 inches, it agrees with the 
 length of the passage-way from the north wall of the grand 
 gallery foot to the entrance of the queen's chamber, as fol- 
 lows — 
 (4.) Professor Smyth's measure of same, 1519.400 inches. 
 
 From (3) above, 1519.350 " 
 
 Difference, of an inch. .05
 
 144 Construction of the Great Pyramid. § 78. 
 
 Hence, it would seem that this passage-way is seven times 
 the difference between the standard 30918, and the enlarge- 
 ment on the same of 30939705-I-, or the extreme of the 
 g,eometrical problem. 
 
 There is a slight confirmation of the fact of 1519.350 
 being used as a multiple of seven times this difference, in 
 the closing description of the length of this passage, as to 
 its being marked off in certain divisions. Professor Smyth 
 says : " The above measures for length being the mean of 
 two sets, nowhere differing more than 0.3 inch, and hav- 
 ing been further tested for the whole length, by a third 
 measuring carried on by rod lengths of 100 inches, may be 
 pretty safely depended on. Hence, whole length of hori- 
 zontal passage from north wall of grand gallery to north 
 wall of queen's chamber (inches), 15 19.4 
 
 " One-seventh of the above, 217. i 
 
 *' South length of passage with low level, 216. i 
 
 " North length, without roof, measuring to mean 
 ■place of the two cuts-off in grand gallery 
 floor, 217.8." 
 
 It may, then, be taken that the source whence this length 
 of 1519.35 is obtained is as stated; and that, very likely, 
 it has something to do with seven of the spaces or stripes 
 of the grand gallery. 
 
 Heights from Floor of Subterranean Passage -Way to 
 the Gable Roof of CampbelPs Chamber. 
 
 § 78. {a.) A still further application of this same geo- 
 metrical problem, it is thought, can be made as to the 
 heights of the various chambers terminating in Campbell's 
 chamber, above the floor level of the king's chamber ; that 
 is, from the gable of Campbell's chamber to the king's 
 chamber level. Upon a careful examination of the angle 
 of the roof inclines of Campbell's chamber, on Perring's 
 plates of Vyse's measures, it measures ii5°d=, and appears 
 to be the same angle with that of the queen's chamber roof. 
 That they are intended to represent this same angle, is, in 
 a measure, confirmed by the fact that, while the rest of the
 
 § 78. Interior Geometrical Construction. 145 
 
 chambers, up to this one, are in red granhe, return is made, 
 in the roof of this chamber, to the -white of the exterior, 
 and of the queen's chamber. Referring to the geometrical 
 problem (§ 74), it is seen that the angle spoken of is made 
 by use of the number 309397050, which has been shown 
 to be an enlargement on the standard of 309.18, which last 
 is the measure giving rise to the point of intersection of 
 the descending with the ascending passage-way. 
 
 Take, now, the standard and enlarged lengths of the 
 king's chamber, and multiply them by 9 — 
 
 (I-) 34-35333+ X 9 = 309-18 feet, 
 (2.) 34.3774X9 = 309-397050^^^1, 
 giving these identical values. 
 
 (<5.) By the Parker time problem — 
 
 (i.) 20.612 X — = 27.4826664-, 
 o 
 
 which, agreeably to Mr. Parker, " is the exact value of the 
 
 passage of the moon round the earth over the value of a 
 
 complete circle, the time being in circular days of 23h. 
 
 51' 23" 20'" each (5153-000'") ; and therefore 27.482666+ 
 
 X 5153000'" (the value of one circular day) = 141618181.- 
 
 333"^ — '~ 5184000'" (the value of one solar day) = 27.- 
 
 3183220164, which, reduced to the proper divisions of solar 
 
 time, equals 27d. 7h. 28' 23" i'" 20"", which, I say, is the 
 
 exact time of the passage of the moon around the earth." 
 
 To this is to be added 4' 40" 46'", or the difference between 
 
 one circular and one sidereal day, as shown in § 13. 
 
 {c.) Divide the Parker formula by 12, where 20.612 is 
 
 taken to be in inches, and there results — 
 
 4 27.48266 
 (I.) i.7i7666x|-= -^^7^—, 
 
 where the first term has become the value of one cubit in 
 British feet, and the last term has become the circular value 
 
 of — of one lunar month. Multiply by 10, and there re- 
 sults — 
 
 4 274.8266 
 (2.) 17.1766+ X^= '^^^ ,
 
 146 Construction of the Great Pyramid. § 78. 
 
 where the first term, or standard width of king's chamber, 
 
 10 
 
 has become 10 cubits, and the last has become — of one 
 
 12 
 
 lunation. 
 
 Clear of fractions, and there results — 
 
 12 4 
 (3.) 206. — X -= 274.8266+, 
 o 
 
 where the first term has become 120 cubits in British feet, 
 and the last has become 10 lunations. (As to the great es- 
 timation of the Parker form 20612, raised to the value of 
 
 12 
 120 cubits, or 206. — British feet, see Appendix, iii.) 
 
 But while this result is so, agreeably to Parker, the 
 standard length of the king's chamber multiplied by 8 
 gives this very value^ or — 
 
 (4-) 34-35333+ X 8 = 274.8266+ feet. 
 
 {d.) The standard circumference of the 
 pyramid is 36643.55+ inches to a height of 
 486 feet. But 366.4355+ is that value which 
 Mr. Parker says is "the exact time of the 
 earth's motion round the sun, over the value 
 of a complete circle in space, the time being 
 in circular days," on which he proceeds to 
 give the exact value of the year in solar 
 time. One-fourth of this 36643.55, reduced 
 to feet, is 763.4074+ , the base side of the 
 pyramid ; and, by the geometrical problem — 
 (i.) 763.4074+ : 486 :: 486 : 309.397050, 
 whereby it is seen that this 309.397+ is a re- 
 duction of the measure of solar time, while 
 274.826+, or 8 times the length of the king's 
 chamber, is a measure of lunar time. It is 
 also seen that while 763. to 486 is in the form 
 of I : 314159, 486 to 309.397 is in the form 
 of .318309 : I. 
 
 {e.) Take, then, the following measures 
 for comparison ; 
 
 i
 
 § 78. Interior Geometrical Construction. 147 
 
 (i-) 34-3533 X 9 = 309-18 standard. 
 
 34.3774 X 9 = 309-397 enlargement. 
 34-3533 X 8 = 274.826 standard. 
 (2.) Let A B = 309.18 feet. 
 
 Let C B = 274.826+ feet. 
 Then AB — BC = 34.3533+ feet, or the standard 
 length of the king's chamber. 
 
 With C as a center, and AC, or 34-3533+' as a radius 
 (see preceding diagram), describe the inner circle A D ; 
 then — 
 
 (3.) 274.826 — 34-3533+ = 240.4733, 
 or 34-3533 X 7 = 240.4733- 
 Now, instead of the standard measure 309.18, make use 
 of the enlarged measure 309.397050; then — 
 
 (4.) 309.397050 — 274.8266 = C E = 34-570383+- 
 Then, with C as a center, and C E as 
 radius, describe the outer circle E E' ; 
 then — 
 
 (5.) EE'=34.570383X 2 = 69.140766 
 
 feet ; 
 and this is taken to equal the height of 
 the gable of Campbell's chamber from 
 the level of the floor of the king's cham- 
 ber ; while E B is taken to be the total 
 distance from that gable to the floor of 
 the passage to the subterranean, by the 
 rejection of the number value of 216330, 
 on which value the entire pyramid 
 works seem to be founded. 
 
 A B. Roof of Campbell's chamber 
 to level of king's chamber floor. 
 B C. Space filled above C. 
 C D. Distance to base of pyramid. 
 D E. Distance to subterranean pas- 
 sage floor. 
 
 E F. Distance of 2.16330. 
 
 jp.. 
 
 E
 
 148 Construction of the Great Pyramid. § 79. 
 
 (6.) From A to F, the dotted line, probably marked in 
 
 the subterranean chamber, is 309'397050 feet. 
 
 AB, as taken in (5.), is 69.140767 
 
 B C is the filling of the king's 
 chamber level above the 
 intersection of the floor 
 line of the grand gallery, 
 with the south wall there- 
 of. Professor Smyth 
 makes this 7 inches, or 
 •5833 of a foot. Take 
 it at .583183 
 
 C D = (§ 73, E) (to base of 
 
 pyramid), 137.509800 
 
 D E = (to floor of subterra- 
 nean passage), 100.000000 
 
 E F = as taken, 2.163300 
 
 309.397050 feet. 
 Thus it is seen that the detailed measures, as variously 
 found, as to vertical heights, amount in the aggregate to 
 the extreme of this geometrical problem, which is em- 
 braced in the angle of 115° (§ 76), and is marked on the 
 diagram as D B (§ 74). All the values have been worked 
 out and accounted for, save^ only, the 183 of .583183 for 
 
 •5833 » where of a foot has been borrowed, or rather 
 
 taken from Professor Smyth's measure. What is of the 
 greatest significance seems to be the number value of 
 
 216330, 
 to make up the perfect value of 309.39705. 
 
 Height of Level of Passage to ^iccn's Chamber^ above 
 the Center of the Sphere, in -which the whole Pyramid 
 is Supposed to have been Placed. 
 
 § 79. Rejecting 216330 from the radius of the circle 
 [§ 55 (^0]' o"" 610.63823 216330=610.42190, that ra- 
 dius becomes 610.42190 feet. From this deduct 586 (the
 
 § 79- Interior Geometrical Construction. 149 
 
 standard height of the pyramid, or 486, fliis the distance 
 vertical, from base of pyramid to bottom of subterranean 
 passage-way, or 100 feet), and there remains, from the 
 bottom of the subterranean passage-way to the center of 
 the sphere (216330 rejected), the distance of, as shown — 
 
 24.42190 feet. 
 Add the distance from bottom of subterra- 
 nean passage-way, less the height of 
 the passage, or 100 — 3.16590, = 96.82530 " 
 
 Add from the base of pyramid to the level 
 of the intersection of the ascending 
 and descending passage-ways =: IS-S^SSS " 
 
 Add height from this intersection to level 
 
 of queen's chamber passage = 54.41300 " 
 
 Add, as borrowed, one cubit, i. 71766 " 
 
 And there results a total of 190.96321 " 
 
 or, a wonderfully close approximation to ten times the 
 height of the king's chamber, or 190.98583 feet. 
 Compare the value 190.96321 " 
 
 The difference is, .02262 " 
 
 or, numerically, just one of the lengths of the queen's cham- 
 ber itself, or 113 X 2 ^226. Let the formula be recalled 
 from § 35 (3), as follows : 
 
 (i.) 113 : 355.0001-f :: 36 : 113.0973 + , 
 
 where, as was shown, the object was to get 't,6, or the factors 
 
 6 X 6, as a straight line value, in place of a circular value, 
 
 as in the king's chamber, where 19.0985 is proved to be a 
 
 diameter to a circumference of 60. Multiply this fourth 
 
 term by 2. 
 
 (i.) 113.0973+ X 2 = 226.1946, 
 
 and the above difference is found to be the of one. 
 
 1000 
 
 It is quite interesting in this connection, as to the dimen- 
 sions of the queen's chamber, that while its — basic length 
 
 north and south has been shown to be 5153 X 2 ^ 103.06 
 inches, or twice the value of the area of the circle inscribed
 
 150 Construction of the Great Pyramid. § 79. 
 
 in the square, under the Parker forms, in its basic length 
 
 cast and west it is thus seen to be 113 X 2 = 226 inches, 
 
 or twice the Metius diameter. 
 
 (fl.) The rejection of 216330, and the use of a cubit 
 
 value of 1.71766+ to produce these singular results, calls 
 
 to mind a phase of the self-same nature in this strange 
 
 work. Refer to the diagram, § 55 («.). Take the full radius 
 
 line of the sphere ; 
 
 It is 610.638234 feet. 
 
 Reject from this .216330 " 
 
 And there remains 610.421904 
 
 Enlarge this by one cubit, 1.7 17666 
 
 <( 
 
 And let this be a new radius of 612.139570 " 
 
 Then making use of the formulation in § 56 (5.) : 
 
 Si7i. 81° 51' i4."5 9-995595 
 
 Sin. 38°o8'45."5 9-790754 
 
 Log. 612.139570 2.786850 
 
 Log. 381.9517+ 2.582009 
 
 as the value of the line of 30° to F, to that extent O D", at 
 
 which it intersects the slope line of the pyramid. The sine 
 
 of this as an angle of 30°, is -, or 190.975+ feet, or .010 
 
 of a foot less than ten times the king's chamber height. 
 Take the values found above, and add them. 
 
 (i.) 190.985 
 
 19 0-963 
 3810948 
 The mean of these values is 190.975 feet, 
 or this very result, thus arrived at by another way, but at 
 the same time by use of the same rejections. 
 
 (3.) This number 216330 becomes again manifested in 
 very important measures — viz., those of the king's chamber 
 level, and those of the base of grand gallery — thus : 
 (i.) From edge of great step to south 
 
 wall of the king's chamber (§ 75), 536.402 inches. 
 (2.) MR on the diagram [§73 (<^.)], 
 or base of the grand gallery triangle , 
 to south wall of same, 1687.992 
 
 Or a total of 2224.394 
 
 ((
 
 §8o. 
 
 Interior Geometrical Construction. 
 
 151 
 
 61.00 inches. 
 
 But there has been in these additions a 
 lap of the length of the great step, 
 which by Professor Smyth is meas- 
 ured at 60.8 to 61 inches. Deduct 
 the larger measure, 
 And the result in inches and decimals of 
 
 an inch is 2163.394 " 
 
 or che appearance in this quarter of this remarkable num- 
 ber. 
 
 A Method of -placing a Salient Height Line for the 
 Interior Construction of the Pyranzid. 
 
 § 80. Take a line equal to the standard length of the 
 base side of the pyramid. On this line raise a square, 
 which divide into four equal squares. And, on the base 
 line, construct the exterior lines of the pyramid. 
 
 A B = 763.4074 feet. Then F'D will equal 381.7037 feet, 
 as will also A F'. On A Braise 
 the pyramid in the standard 
 measures. Then C F' = 486 
 
 feet. At D with — ^the standard 
 
 2 
 
 /n 
 
 e 
 
 // 
 
 \\ 
 
 U— 
 
 \> 
 
 / ^ 
 
 \ 
 
 486 
 
 height, or — = 243 feet, meas- 
 
 ure down to F ; then with the 
 value 243 for height, draw in 
 the pyramid D E E', and it will 
 be, as to its dimensions, reduced 
 
 by just one-half from the original — that is, its half base 
 side, now, will be 190.8513 + , on which the enlargement 
 190.985+ has been shown to play so great a part in the pyr- 
 amid measures. By this process, it will be seen that the 
 works on the E E' level, with these proportions, would be 
 precisely as if they were located on the base of the larger 
 pyramid ; while, at the same time, an elevation has been 
 obtained to work out other results. 
 
 (i.) In § 73 {e.), the vertical distance from the base of 
 the pyramid to the level of the true floor of the king's cham-
 
 152 Construction of the Great Pyramid. § 81. 
 
 ber was shown to be four times the length of the king's 
 chamber taken as enlarged, 
 
 or 34-3774 X 4= 137-5096 feet. . 
 
 D F' is equal to 381.7037 — 243 138.7037 " 
 Difference in excess, 1.1941 " 
 
 In § 73 [a.), to obtain the distance 247.70 feet, from the 
 foot of the roof line of the descending passage-way to the 
 point of intersection of the floor line of the ascending 
 passage-way, we had the primary distance 3091.8, and from 
 this there was deducted to get the point desired, 119. 4 
 inches, or 
 
 3091.8 — 119.4= 2972.4 inches, 
 = 247.7 feet. 
 
 The distance of the remove, then, of this 
 point was by a deduction from the 
 primary value of ii9'4 inches. 
 
 To obtain a like remove to get a particular 
 vertical height, as just shown, requires 
 a deduction from a primary value, of i-i94 feet. 
 
 All which goes to show, that probably all the interior 
 work of the pyramid, is to be obtained by use of squares, 
 in their subdivided parts. 
 
 § 81. It is thought best to close the effort at reconstruc- 
 tion of the great pyramid at this point. Many more meas- 
 ures and harmonies could be shown — as of the coffer and as 
 of the descending passage-way relations ; but it is thought 
 that all has been shown that is necessary for this work. 
 Now, let the reader reflect upon what has been done or ex- 
 hibited, (i.) An abstract elemental relation of geometrical 
 shapes. (2.) A special numerical integral relation is shown, 
 as applying to the notation and working together of these 
 shapes. (3.) With this relation, as connected, it is thought, 
 with very beautiful geometrical displays, the pyramid 
 structure, as to its outside and as to its inside works and 
 measures and proportions, has been reproduced in measure 
 after measure, little and great, in angle after angle, and in 
 general relations of parts to parts ; all, so that, one may say, 
 the results answer absolutely to the Briiish measures as
 
 § 8i. Interior Geometrical Construction. 153 
 
 taken. Surely, then, the diagrams and intentions of the 
 architect have been displayed and set forth, as to the prac- 
 tical architectural work. But, wliat is more, is that it is 
 just as certain that his mathcfuatical, and astronomical, 
 and geographical, measuring intents have been disclosed in 
 a general sense ; and even more than that. It only re- 
 mains to discover those curious underlying laws for cosmi- 
 cal construction, certainly known to him, by which the 
 cosmos could be so outlined that the sizes and times of 
 planets could be numerically notated, and, by a practicable, 
 realizable, unit of measure, co-ordinate one with the other. 
 If this statement is true, then it must be admitted that all 
 that has been set forth has depended upon the work, and 
 numerical elements applied to geometrical shapes, of John 
 A. Parker. 
 
 As to what the extent of ancient knowledge really was, 
 modern opinions are becoming more and more liberal with 
 increased research. 
 
 Mr. Rawlinson, in App., Book XL, chap, vii., says : " No one will 
 for a moment imagine that the wisest of the Greeks went to study in 
 Egypt for any other reason than because it was there that the 
 greatest discoveries were to be learnt, and that Pythagoras or his 
 followers suggested, from no previous experience, the theory (we 
 now call Copernican) of the sun being the center of our system ; or 
 of the obliquity of the ecliptic, or the moon's borrowed light, or the 
 proof of the milky way being a collection of stars, derived from the 
 fact that the earth would otherwise intercept the light, if derived 
 from the sun, taught by Democritus and by Anaxagoras, according 
 to Aristotle, the former of whom studied astronomy for five years 
 in Egypt, and mentions himself as a disciple of the priests of 
 Egypt, and of the Magi, having also been in Persia and Babylon. 
 The same may be said of the principle by which the heavenly 
 bodies were attracted to a center, and impelled in their order, the 
 theory of eclipses, and the proofs of the earth being round. 
 These and many other notions were doubtless borrowed from 
 Egypt, to which the Greeks chiefly resorted, or from the current 
 opinions of the ' Egyptians and Babylonians,' the astronomers of 
 those days, from whose early discoveries so much had been de- 
 rived concerning the heavenly bodies. Cicero, on the authority 
 of Theophrastus, speaks of Hycetas of Syracuse, a Pythagorean,
 
 154 Pyramid Symbolization. § 8i. 
 
 having the same idea respecting the earth revolving in a circle 
 round its own axis ; and Aristotle observes that, though the 
 greater part of philosophers say the earth is the center of the 
 system, the Pythagoreans, who live in Italy, maintain that fire 
 is the center, and the earth, being one of the planets, rotates 
 about the center, and makes day and night. This heliocentric 
 system (having been lost) was finally revived in Europe," etc. 
 
 The trouble was that this kind of knowledge was of the 
 friestly caste, and therefore was utterly unknown to the 
 world; for this caste, with its power of influence, would 
 discourage any theories tending to the truth, and would, if 
 possible, make any one recant a pretended discovery, if it 
 chanced to militate against the hidden knowledge. 
 
 Here, it has been shadowed forth, not only how exten- 
 sive and valuable this knowledge was, but the very nature 
 and groundwork of the knowledge itself, yohn A. Par- 
 ker's tnethod of quadrature, and his proble?n of three re- 
 volving bodies, evidently did lay at the base of the famous 
 Egyptian and Pythagorean systems. 
 
 Thus the lines of the admeasurements of the interior 
 work of the pyramid, having their origin from the inter- 
 section of the floor line of the descending passage-way 
 with the sloping side line of the exterior, close themselves; 
 and that so accurately, tested in such various ways, that it 
 seems it can be safely said that this work exhibits the res- 
 toration or reconstruction of the pyramid, agreeably, in a 
 general way, to the architectural plan and measures of the 
 original designer — what is left to be discovered being the 
 particularities or minute details of elaboration of his 
 thoughts and measures. 
 
 SECTION XL 
 
 PYRAMID SYMBOLIZATION. 
 
 § 82. (a.) In terminating this effort at reconstruction of the 
 pyramid, it is well to give symbolic representations, with their
 
 § 82. Pyramid Symbolization. 155 
 
 meanings, of its elements. It is seen in § 55 (a.), that the orig- 
 inal pyramid from whence the real pyramid of the Nile springs, 
 is directly constructed from the original elements of relation of 
 diameter to circumference of a circle. This is circular elements 
 one. On the lines of this original pyramid springs another, 
 whose elements are circle fwo. In § 74 (^.), out of the elements 
 of /wo, another set of elements is obtainable, governing the in- 
 ferior work of the pyramid proper ; these elements are those of 
 circle three. 
 
 The elements of one are : 
 
 (i.) Height, 6561 inches, 546.75 feet. 
 
 — base side, 5153 " 429.416-I- " 
 
 2 
 
 — base diagonal, 7287.44-}- " 607.28-I- " 
 
 Radius, 7327.65-I- " 610.63+ " 
 
 The elements of two., as has been shown, are taken from the 
 
 elements of one. Whereas, the full circumference of base of one 
 
 is 5153 X 8 = 41224 inches, or one hundred times the length of 
 
 the king's chamber, the circumference of the pyramid proper is 
 
 5153 X 4 (= 20612) X ^ — 36643.55-j- inches ; and on this the 
 
 pyramid proper is constructed. 
 The elements of two are : 
 (2.) Height, 5832 inches, 486 feet. 
 
 — base side, 45S0.44 " 38170 " 
 
 2 
 
 — base diagonal, 6477.72 " 539-8i " 
 
 2 
 
 Radius, 6513.47 " 542.78 " 
 
 The elements of three are : 
 (3.) Height, 3712.76 inches, 309.39 feet. 
 
 — base side, 2916. " 243.00 
 
 (( 
 
 2 
 
 — base diagonal, 4123.84 " 343-^5 " 
 
 2 
 
 Radius, 4146.60 " 345-55 " 
 
 Where these elements are derived from elements in (2.) ; and 
 where the height is one of the extremes of the geometrical prob- 
 lem, § 74 (3.) 
 
 These are the circles whence the complete pyramid, as to its
 
 156 Pyramid Symbolization. § 82 
 
 outside^ and as to its inside^ is fitly framed, and put together, 
 giving the measures of the heavens and the earth. 
 
 The symbol, then, should be of three circles, one within the 
 other, with the triangular representation of the pyramid con- 
 tained, or else a ■pentagon^ or the pentapla of Solomon ; but the 
 triangle would be more pertinent. While the triangle represents 
 the pyramid, the triangle and circle represent the elements from 
 whence the plane measure of the square^ of the base of the pyr- 
 amid, is derived. 
 
 (i5.) Now a tmit of measure is desirable, for translation of 
 geometrical combinations of shapes into their proper numerical 
 equivalents, for working out the co-ordination of tifjie with dis- 
 tance relations. 
 
 While the two sets of values, 6561 : 20613, and 113 : 355, are 
 essentially connected together, and are in some way but varia- 
 tions on each other, so that 113 and 355 carry with them by im- 
 plication a decimal value, as springing from 6561 to 20613, yet, 
 as they stand, they bear a beautiful differential relation to each 
 other, as follows : 
 
 (I.) 6561 : 2o6i3 :: 113 : 355 gi^ 
 
 / N r- ^ r 3061 1 
 
 (2.) 30612 : 61^61 : '\^K : 112 — - — 
 ^ ^ ^ ^^^ 20612 
 
 In this last formulation, the fourth term is a dia?neter or straight 
 line value; and, as regards 113, is seen to differ from it by just 
 ofie unit as a straight line (or diameter value) one^ of the de- 
 nomination of 20612, the elements of a perfect circle or cir- 
 cumference, and this difference is implied in the Jehovah 
 or mn* value, which, as will be seen hereafter, springs from 113. 
 This difference of i — 20612 implies the entire pyramid scheme, 
 for a right line^ as | or — , signifies a solid unit or cube, whose 
 edge is | or — , or one ; and here the denomination of this one 
 is 20612, the perfect circumference value, and for original meas- 
 ure taken as inches; therefore, the straight line one^ or | , is 
 of the value of an inch cubed, or is a cube of an inch to the 
 edge. Take off the value of the 20612 onto the edges of this 
 cube, and each edge (there being 12) will be of the value of 
 1.71766-J-, which is a reduction by scale of the cubit value in 
 terms of the British foot. This has been before set forth ; the 
 diflerence is that here the scale is reduced from the least tinit 
 measure^ viz., that of the inch. This reduced form of subdivis- 
 ion is actually to be found in the coffer measures of the king's
 
 § 82. Pyramid Symboltzation. 157 
 
 chamber, as, for instance, one line of that measure, by Professor 
 Smyth, 
 
 is 90.175 inches. 
 
 Now, 1.717666-f- X 75- = 90.1774 " 
 where 1.71766 is the cubit value reduced to the scale mentioned. 
 
 Thus can be seen the magnificence of the value, because the 
 exactitude of the Jehovah diameter value lays in the implied use, 
 which will derive di. perfect^ yet combined, unit value, which, as 
 seen, is | , as a straight line of the denomination of 20612, 
 which is an abstract ^^r/(7C/ circular and circular area value. 
 
 (c.) This is shown to have been the case otherwise. To ex- 
 press this value by symbol, the picture would be of | as a straight 
 line and a O as a circle, or, together, 10, which is the perfect 
 form of one, and at the same time expresses the value of ten, or 
 10. With the Hebrews, it is kabbalistically said that the ten is 
 the one, and the one is the ten. 
 
 " Kabbala says : ' This number 10 is the mother of the soul, 
 and the light and the life are there united ; since the number one 
 is born from the spirit (in the New Testament, spirit is John the 
 Dove, and John the Dove, or fonah, by the fsh use, becomes 
 Jehovah), thus the unity (i) has made the ten (10), and the ten 
 (10) the unity (i)." (Hermes xiv., quoted from Sod., p. 57.) 
 
 The reason of this definition can be made obvious. The 
 primal one contained all the elements oi generation, and there- 
 fore included the male idea and ihe female idea in itself Thus, 
 I contained | as a male, and O (a circle) as a female, yet it was, 
 as a primal conception, but one. But these two, as separated 
 parts of one, arranged together, were 10, or ten; therefoi-e, the 
 interrelation of i = 10, 10 = i. But, again, with the Hebrews, 
 I was taken by itself, under another form, as combining in itself 
 two, i. e., it was susceptible of division into two parts which 
 
 I 
 should make one., and each of these parts was necessarily—, or 
 
 — , or .K, which was the letter H, or the wo7nb letter, from whence, 
 10 
 
 the rabbins say, God created all things. But add .5 and .5, and 
 
 we have i ] o, or the male female again, or the perfect ofze- 
 
 Again, this 10, or the perfect one, was denoted by the Hebrew letter 
 
 ♦, a sacred letter, denoting the word fah or fehovah, meaning 
 
 what has been said (among other things) ; for * stands for i, the 
 
 male, and o, the female. But o was esteemed (as female) to be 
 
 equal to the word for a. fsh, taken asfeffzale, or the letter ^ raised
 
 158 Pyramid Symbolization. § 82. 
 
 to another scale of value, ^, or «, or from .5 to .5 X 10 ^ 5.0, 
 where we have 5 — o, or H feminine, and o feminine. Now, the 
 letter J, or «, was named, and was the word Nun, oxjish, or pj), 
 and its values were 565, which word and values are considered 
 fcjninine, because raised frotn a feminine source. But 565, or 
 Jish, or womb of 5 — o, or j (for .5 or n)» is equal to 113 X -5 = 
 56.5, where 113 is man (a straight line or phallus value) mul- 
 tiplied by Hi or the womb value ; and this, as seen, equals 1*)J, 
 or Jish, or 5 — o. Now, the eqtiivalent of pj, 565, is XV\T\i or 
 565, and XV\T\ is "Cae female part of the great word mUN or Jeho- 
 vah, which thus assumes this word form as the eqtiivalent for 
 the tnalefemale uses above shown. But as the parallelism must 
 be maintained to preserve the unity of the God-head, as male- 
 female, and yet its separated cortdition^ we have the values, 56.5 
 X 10 (as a form to show this) = 565, where, by the letter forms, 
 for 565.^ ", we have T\'SiV '■> JK^A after all, this amounts to 56.5 X 
 10 ^ 565, by completing the multiplication, or reproduces XV\T\i 
 or the phallus is thus concealed in the primal emptiness or 7ioth- 
 ingness, which is Bohu, "^HD? or Muth, mother, JlID* or Venus, 
 or Eve, i. e., the primal emptiness out of which reality sprung: 
 (And this concealment is allied to, and in exact harmony with, the 
 same idea in another form, or word form, and nu?nber form com- 
 bined, for \}i\^ flux word is Nun, pj, or, in itself, the female, as 
 fsh. This is O, and because its value is 56.5 (113, matt X Si 
 woman') ^ it is the equivalent of the samCi with '^y\T^^> which also 
 equals 565. Thus, niH i^ the female, by this equivalence ; but, 
 being so on its word face, it nevertheless conceals within itself 
 the value 113 (because 113 X 5 = mil)? which is a straight 
 line or diameter value, or " ifiaji^^ and therefore, as opposed to 
 O, is male. Therefore, the harmony.) And this shows that the 
 mother idea was, after all., the primal one, and that the Roman 
 Catholic conception is right. How exceedingly beautiful the 
 display is. For while we have the full form niri~*5 ^s male- 
 female, yet it so springs that this form is evanescent, as 56.5 X ^ **? 
 because, completed, the perfected form becomes TWHi or 5^5? the 
 10, or % having vanished or concealed itself. 
 
 (d.) Then, here, we have man ^113 diameter {phallus') to a 
 circumference of 355, multiplied by .5, or womb == mn> the fe- 
 male part of Jehovah ; and this, as 56.5 (or fsh, pj) multiplied 
 by 10 equals 56.5 X 10 ^ TX\T]'^i the great name, which, after 
 all, is 10, or primal one. As seen, when 113 : 355 is compared 
 with 6561 : 20612, the perfect circular element, we have to
 
 § 82. Pyramid Symbolization. 159 
 
 1 2061 1 ,1 , , ,.-- 
 
 make up the ii-^, as 112 — -^ 7 — =ii'?; where the clif- 
 
 ^ ^ 20612 ' 20613 ^ 
 
 fercntial is a one straight line {jyJiallus') of the denomination of 
 
 the perfect circle {yoni), or 20612 ; and this is thus seen to be 
 
 necessary to make the 113. But 113 X '5 ^ 5^-5' ^^ TVST] ', thus, 
 
 // is also necessary to make this value: but 56.5 X 10 = TV\TV '■> 
 
 therefore, it is also necessary to make tip this value. But this 
 
 value is Jehovah ; wherefore, the necessity is a straight line one^ 
 
 of a denoi7ii7tatio7t 0/20612, or ihe perfect one, and jfehovah has 
 
 been shown to be this. 
 
 So, while jfehovah expresses ihi?, perfect one, under the Parker 
 forms, through the Metius use it also expresses a larger diameter 
 value, as 565S derived from 113 X -5 = 565, and 56.5 X ' '^ 
 (= ,*7"^n») = 565, where 113 is diameter to circumference of 
 355. The involution of the Parker and Metius forms seems to 
 be in the queen's chamber in the pyramid. 
 
 Besides this, the two words of vvhich fehovah is composed, 
 make up the original idea of male-female, as the birth originator 
 (for the * was the membrum virile, and Hovah was Eve). So, 
 it is seen that the perfect one, as originator of measures, takes 
 also the form of birth origin, as hermaphrodite one; hence, the 
 phallic form and use. 
 
 So the perfect symbol is made up of three circles — one within 
 the other — a triangle inscribed, and in this the word mUS as the 
 originating one of all things. 
 
 As I H S, or tJ^n*, or (the values being added) 3i8-|-, it would 
 give diameter to a circumference of one; and, therefore, I H S 
 is a Jehovah form. 
 
 (c.) It would take up too much space to go into particulars ; 
 
 but it could be shown that the word XVXV should be placed in 
 
 the darkness, around the borders of which an intense light, 
 
 above the brightnes of the sun, should reside as issuant from the 
 
 Word. (Also, that in the symbol 10, the i, as another symbol.
 
 i6o Pyramid Symbolization. § 82. 
 
 may be supposed to represent the word John^ and should stand 
 on the 'western or autum7ial side of the celestial circle?) If, in- 
 stead of the word, a diameter line is drawn across the circle, this 
 form, of itself, would be expressive of \ki^ great word, and thus 
 the circle, with its diameter line, would again express the number 
 10. Another, and very beautiful symbol, might be placed in the 
 pyramid triangle, viz., that of an oblongs or two squares, bearing 
 the form of an open book ; but this is more appropriate, as in- 
 cluding the ark of Noah in the pyramid symbol. This figure is, 
 by cutting it in two, the origin of the Hebrew letters jf and ^. 
 The value of H is 8, and that of H is 5. The number 5 was the 
 birth number, as its letter Hi its sign, was the symbol of the 
 womb. The number 8 signifies the use of 5. In the Hebrew 
 conception, everything made by the Creator was a perfect one, 
 and by this method was z. perfect cube, as one. But birth neces- 
 sitates the two opposites of inale and female, each of whom had 
 to be in itself perfect. To combine these two so that the duality 
 may be preserved, and yet a perfect OJie result^ if the originat- 
 ing cube be used eight times, the result is another perfect cube, 
 combining the two opposite or separated capacities for produc- 
 tion within itself This is exemplified in the family of Noah. 
 To make a perfect productive one, they had to be eight; and so, 
 in fact, they were, as they entered the ark. Now, the values, as 
 applied to Noah, would give us his name as HH (or 8-5, and the 
 larger cube from 5 would make one of 10 to the side, or a Jeho- 
 vah cube), whereas it is f^j, and for this reason : there is no 
 change determined on the value of 5 (as H) by the use of ^ or n, 
 because J is 5 only enlarged from J^, in the ratio .5 X 10 = 50, 
 or 5 X 10 = 50. The j, or n, is used to get \\\e. fish letter, as 
 nun, or pj, or 565, the Jehovah form, as shown ; and this, taken 
 as a cube, eight others make up the equivalent larger one, or 10, 
 or Jehovah. Showing the Noah glyph to be a Jehovah one, or 
 Jah-is Noah, or T\^i which is the British inch — that cubic one 
 above shown forth. 
 
 Note that this is of great importance. Take the origin of (IJ 
 in nn ; this, by symbol, is 8 — .5, where .5 is a womb cube ; but 
 to fructify, it must combine male and femple in one ; so it takes 8 
 to make the next larger perfect cube, whose face will necessarily 
 be .5 -|- .5 = i.o, or a unit one. Jehovah is also a unit one. 
 Then, Jehovah and Noah are equal, or one equals one; and, by 
 contraction, the expression of this will be ^J"^ I-nch, where the 
 concrete form is " Jah (or Jehovah) is (or equals) Noah" or, to-
 
 i. ■'' . I 
 
 § '^2>- Pyramid Symbolization. i6i 
 
 gather, they signify I-nck. If J is taken for T], this only changes 
 the value by ciphers, which, instead of enlarging; can be taken 
 as smaller subdivisions ; or, in fact, the ciphers may be dropped 
 by Hebrew usage. The pyramid is built on the British inch, as 
 shown ; the Garden of Eden, etc., is the expression of the same 
 thing under another style of setting forth. It seems, then, clearly 
 evident that our English word inch is, in fact, from the combination 
 of the Hebrew unit designations, viz., Jah and Noah, or (1^"% 
 or, literally, I-nch. 
 
 The ark of Noah was, in dimensions — 
 
 (i.) 300 X 50 X 30 = 450,000 cubits. 
 
 The cube of .5, or the letter H? or J (its equivalent), is 125 ; then — 
 
 (2.) 450 -- 125 = 3.6, or 36; 
 
 and 36 = El-h^ T\)^-> ^^ Elohiiti^ while 125 equals the Hebrew 
 word |^{<, abn, stone, or Peter; so, here, we run directly back 
 to a Jehovah use, and to a factor base of 6 X 6 = 36, and which, 
 as will be shown, is the Garden of Eden form. So — 
 
 (3-) 360 -^ 8, or n = 45» 
 the characteristic value of the cubical contents of the ark itself. 
 Once, again, the woman is nifl^ and * is the male — together, the 
 perfect number 10; but 10 is a circumference to a diameter of 
 318-I-, and this, in one form, took the idea of the birth of time, 
 as of ^eyear; therefore, in this form, mH^ would indicate also 
 the ferfect year; and 318 was a Christ value. As the perfect 
 year, the circle divided by a horizontal diameter line, would be 
 the symbol of the perfect one, or ,1111% while, to denote the sepa- 
 rated functions, the upper or sunny half would be ^, while the 
 lo-voer half would be the niH, or dark, or Eve portion of the year. 
 
 The Trowel Face. 
 
 § 83. It has been seen that the commencement of the 
 pyramid proper is by means of placing an ideal pyramid, 
 constructed on the elements of (i.), § 82, in a sphere. The 
 results there displayed are through geometrical proportions. 
 The base of the interior construction is seen to rest upon 
 the geometrical problem displayed in (5.), § 74. In that 
 problem, all the pyramid elements of construction are dis- 
 played ; for AB is the standard base side of the pyramid, 
 C D is the standard height, and D B, with the angle C B E, 
 are seen to enter into the aggregate height lines, and the
 
 i62 Pyramid Symbolization. § 83. 
 
 roof lines of the interior levels, and chambers. Moreover, 
 A D and C D are but reductions from the original forms 
 as given by Mr. Parker. The shape of the inclosed figure 
 A C B E, could be changed so as to display the exact pyr- 
 amid standard relations ; for by doubling the line A D, or 
 763.4074 X 2 = 1526.8148+, the proportion of C D : 
 A D X 2 is that of diameter to circumference of a circle, 
 and is the exact proportion, and in the exact numbers of 
 height to twice the base side of the pyramid. Architectur- 
 ally, this is valuable for symbolization ; for by doubling AD, 
 and inclosing the extension by the lines A C, C B, B E, and 
 A E, the new form displayed would be that of the mason's 
 trowel face : so that a trowel constructed after these propor- 
 tions, and on the scale of the British inch, would afford to the 
 mason the whole elaborated plan of his work with the re- 
 lations of the elements from whence these plans took their 
 rise. 
 
 It was an old tradition that in the accomplishment of any great 
 and good work involving the more abstruse and recondite knowl- 
 edges, the workmen would be beset by the powers of the realms 
 of darkness, with their frights, and horrors, and scares. As 
 against these, the master workman would protect his work by the 
 display of the seal of Solomon, the wise man, and the king, even 
 over the Efreets^ the yinn, and the Jann. But even here, he 
 had to summon up an amazing amount of lesisting force ; nor 
 could he do this unless by the assistance of the unseen powers of 
 light, of truth, and of goodness. As encouragement to the fail- 
 ing power and courage of the master workman, on whom the 
 whole charge rested, a voice, like as the Bath-Col^ Daughter 
 of the Voice^ would come, in terms, like the following which 
 were given to Hasan El Basrah in his terrible trials : 
 " I disposed thine affair at the time when thou wast in thy moth- 
 er's womb, 
 And inclined her heart to thee so that she fostered thee in her 
 
 bosom : 
 We will suffice thee in matters that occasion thee anxiety and 
 
 sorrow ; 
 So, submit to us, and arise : we will aid thee in thy enterprise.
 
 § 84. The Temple of Solomon. 163 
 
 CHAPTER IV. 
 
 THE TEMPLE OF SOLOMON. 
 
 § 84. Kabbalistic tradition, passed down in Succoih, 
 states that when Solomon was about to erect the temple, he 
 found the measure wherewith to build it, by placing the name 
 of 'Jehovah^ XXS'sV ^ upon th€ round mouth of the well-hole in 
 digging the foundations ; and, again, it is said, by placing 
 this name upon the bung-hole of a cask. The " round 
 tnoiith " and the " bung-hole " were circles. The Israelites 
 converted circular and spherical measures into square and 
 cubic measures, in their representations of them. It will 
 be shown that the, or one of the, values of the name "Jc- 
 kovah, was that of the diameter of a circle ; and it espe- 
 cially meant the unit measure of a right-line, or square- 
 sur/ace, or cube-solid, having a purely circular value. 
 Hence the definition of the architectural idea of construc- 
 tion is thus conveyed in Succoth, if this was the channel 
 of the tradition. 
 
 The description of the temple measures are to be graded 
 in the following order : 
 
 (i.) From the Book of Kings. (2.) From the descrip- 
 tion of the Tabernacle ; because it was perfect in all its 
 proportions, and Solomon could do no more than to repro- 
 duce it, however much he might vary the style of archi- 
 tecture. (3.) From the Book of Chronicles, not so au- 
 thentic, but rather a targum, or paraphrase, on Kings ; and 
 (4) from Jose^hus. 
 
 The Details of Dcscriptiott. 
 
 (a.) The entrance to the temple faced toward the cast, ^' 
 and the holy of holies was in the extreme west end. 
 
 As to the ground plan, the description in i Kings, 6, is 
 concise, plain, and specific. This ground plan has three 
 distinctly separated parts : (i.) The house, ''Bayith." (2.)
 
 164 The Temple of Solomon. § 84. 
 
 The temple, or open vault of heaven, before the face or 
 door of the house, ^^Hecal" (3.) The forch before the 
 face or door of the temple, ^'-Olatim" Verse 2 says: 
 "And the house which King Solomon built for the Lord 
 (Jehovah), the length thereof 60 cubits, and the breadth 
 thereof 20, and the height thereof 30 cubits." Verse 3 
 says: *'And the porch before the mouth or door of the 
 temple of the house, 20 cubits was the length before the 
 face of the breadth of the house, 10 cubits the breadth be- 
 fore the face (or door) of the house." Verse 17 says: 
 "And 40 cubits was the house, that is to say, hua, the tem- 
 ple, before its face (or door)." 
 
 There is, then, the house, hayith, 60 cubits ; the temfle, 
 htcal, 40 cubits; and the length of the -porch, olaum, 20 
 cubits, one length connected with another, for the ground 
 plan, or a total length of 120 cubits. This gives, or em- 
 braces, in the house and temple inclosure, the length of the 
 tabernacle and court inclosure, of 100 cubits. As to the 
 porch, olaum, in front of the temple, 2 Chronicles, chapter 
 iii, verse 4, says: "And the porch that was in the front, 
 the length was according to (or agreeing with) the breadth 
 of the house, and the height an hundred and twenty 
 (120) cubits, and he overlaid it within with pure gold." 
 Here, it is observable that the holy of holies was lined with 
 gold ; it was at the extreme end of the length of 120 cubits. 
 Here, the base of the porch, or bottom of a height of 120 
 cubits, of the same dimensions as to the length, and 
 one-half the width of the most holy place, is also lined 
 with gold, going to show that the connection of these gold 
 lined rooms had to do with the distance of 120 cubits. 
 Josephus says there was a superstructure above the house 
 equal to it in height (30 X 2 = 60), and then doubled, 
 making a total height of 120 cubits. 
 
 What the inclosure of the temple, hecal, part was, as 
 distinguished from the house, bayith, is not specified ; but 
 it is simply stated that the door of the house opened into 
 the temple part, and the door of the temple part into that 
 oi the porch. It may have been an intermediate court like
 
 § 84. The Temple of Solomon. 165 
 
 the court of 60 cubits before the tabernacle structure ; the 
 difference not being in the sum of the lengths, which, in 
 either case, was 40-|-6o= 100 cubits, but in the one case 
 the court is 40, and in the other 60 cubits long. The tem- 
 ple, likely, was a court looking to the open vault of the 
 heavens, and surrounded by other inclosures. But what 
 became of the altar of incense? Of the table for show 
 bread? Of that for the golden candlestick? These sup- 
 posed to be placed in the most holy place before the vail, 
 as in the tabernacle, then the only further change of ar- 
 rangement seems to have been simply in the location of 
 the brazen sea in the northeast corner of the house inclos- 
 ure, part of the court before the tabernacle, now, or here, 
 placed under roof; the great brazen altar being located be- 
 fore the house in the temple part. 2 Kings, 16, 14, men- 
 tions this as in the forefront of the house, and this is again 
 implied in i Kings, 8, 64. It could not be located within 
 the house, as there would be no space around it. This 
 fact of its being before the house, gives a distance between 
 the house and the porch, as the temple part, i Kings, 6, 
 says that there were two ■pillars — Jachtn, which, according 
 to Josephus, was on the south side, and Boaz, which was 
 on the north side of the porch entrance. They were 18 
 
 I 
 cubits in height each, or, together, 36 cubits, or the — 
 
 of 360° ; and they girded 12 cubits. 
 
 The holy of holies was a cube of 20 X 20 X 20 cubits, 
 located, as stated, in the west end of the house, bayith. 
 Five colors seemed to be involved about and in it. It 
 was, according to Josephus, built in ivhite^ or the color of 
 the ether. Inside, it was lined with red cedar. This, 
 again, was lined with orange gold. The interior was 
 closed against light, and was in the blackness of darkness, 
 as the proper place for the ark of the covenant (or the meet- 
 ing together of two opposite principles). It is thought that 
 these colors were typical — red, of the earth ; golden, of the 
 sun in general, or the sunny part of the year, when, or as, 
 contrasted with the brazen sun of winter ; white^ or silver
 
 i66 The Temple of Solomon. § 84. 
 
 color ^ of the moon : and black, of the night, of the womb, 
 of the nadir. The condition of the room as to colors would 
 seem to indicate time and earth measures, and also the 
 place where those earth measures were to be found, or to 
 be originated, as down in the depths at the center of a mass, 
 in the dark ; like finding a starting point of construction 
 by placing a pyramid in a sphere. 
 
 (3.) The holy of holies was divided, as to its cubical 
 contents, by the placing of the cherubims. There seems 
 to be no especial meaning to this word, fitting it for such a 
 place. The meanings usually assigned, though perhaps 
 proper enough, after a fashion, as man, angel, cherub, are 
 really not proper to the term. The word comes from !l*ll!) 
 = Carab, or Carab, meaning -prehensile, to seize, grasp 
 as -with talons, or between talons ; as substantive, it means 
 a bird (as a griffin or eagle), fierce, because of its quality 
 of closing upon something, or anything, with its talons. 
 It is the British word crab, that seizes with its circular 
 pincers ; also the word grab, as closing the fingers upon 
 something. On looking at the zodiac signs for yune and 
 aV October, it will be seen that they are represented as closely 
 
 alike — one as the scorpion, and the other as the crab ; and, 
 in fact, for the zodiac, these two answered, as stretching 
 over or embracing the two cubes representing that quad- 
 rant of the year between cancer and scorpio, just as the 
 cherubims stretched over and embraced the covenant or 
 meeting of the two halves of the ark. This word is es- 
 pecially used as to the Garden of Eden, guarding the way 
 to the tree of life in the center of the space, the place of 
 covenant or o( meeting. In one sense, they may be taken 
 as the hooks barring the opening of the sistrum. It is used 
 as spanning half the space over the ark of the covenant; 
 and the same use is here made as for each one spanning 
 half the space over 10 cubits. The real value of the word 
 is thought to be /;/ its numerical value, which is D = 20, 
 ^ == 200, ^ — 2, or a total of 222. These cherubims were 
 10 cubits in height, and stood with outstretched wings of 5 
 cubits in length, 'each touching, as to each, the wall upon
 
 § 84. The Temple of Solomon. 167 
 
 one side, and the tip of the wing of the other, in the midst. 
 Underneatii the meeting or covenant of the wings was the 
 division line, either of separation or of meeting of the two 
 rectangular solids of the ark of the covenant (signifjdng 
 the two sexes). 
 
 Comparison of the Afcasures of the Tcmj^le zvith those 
 
 of the Pyramid. 
 
 {c.) (i.) As to the ////«r5. 18 cubits = 20.612 -|- 10.306 
 feet, or 30.918 feet; and these are the numerical values, 
 divided by 10, to give the standard measures of the vertical 
 axial line of the pyramid, to embrace the distance be- 
 tween the top of Campbell's chamber and the base of the 
 pyramid, and between the base and subterranean (§ 78). 
 
 30.918 ^ — =25.765, and — the length of the ark is 25.765 
 12 2 
 
 inches. The girth of the pillars was 12 cubits = 20.612 
 feet, showing that the circumference was in terms of a per- 
 fect circumference value. Whether the sum of the heights, 
 or 36, was to represent a reduction of the circle of 360°, is 
 a matter of conjecture ; but it is strengthened by the fact 
 that Boaz was the representative of Typhon, or the North., 
 or the dark or winter part of the year, and fachin was the 
 opposite, and as a division of the standard circle of 360°, each 
 would indicate the half, or 180° : and they are each noted 
 as 18. If the conjecture is right, one entered the temple 
 through the gateway of the birth of the year circle. This 
 is perfectly paralleled by the qualities of the descending 
 passage-way in the pyramid, as it involved both the circu- 
 lar elements and their application to the measures of the 
 earth in its equatorial value of 360°, by its diameters in 
 miles, and then the measures of the time circles about the 
 sun made by this very equatorial. As to these applications, 
 see § 72. This view is partly confirmed by the name given 
 to the location, or olaum, or porch ; for, by the interchange 
 of ^^ for ^, and this is rulable, this may, as q^ij^ for 
 qS«)j;, be taken for the otherwise similar word which means
 
 i68 The Temple of Solomon. § 84. 
 
 time without end, eternity, revolving ti7ne, or Aeon, or 
 Age. "The Oidoniini {Aeons), Yq\q.q., and Spirit, and 
 word." ( Jetzira, 9, 10). " The fools did not know that 
 the Aion (Aeon, age) is not any essence {pusia) existing, 
 but some division indicative of time." (Theodoret Haeret. 
 V, vi.). Wisdom says : " I was effused from Oulaum (Aeon, 
 time), from the beginning, from the earliest time {mi- 
 hadmi) of the earth." (Proverbs viii, 23.) (All from 
 
 Sod. p. 76.) 
 
 12 
 (2.) T\vQ. forch was 120 cubits high, or 206. — feet, that 
 
 so familiar value of the pyramid. It w^as 20 cubits long, or 
 
 34*3533+ f'^^t, or the standard length of the king's chamber 
 
 in the pyramid. It was 10 cubits broad, or 17.1766+ 
 
 12 
 
 feet, or 206. — inches, the standard width of the king's 
 
 chamber. (3.) The -porch, temple, and house lengths, 
 
 12 
 together, were 120 cubits, or 206. 'feet, also; while the 
 
 holy of holies plus the most holy place, or 40 cubits in all, or 
 68.7064 ft., was, as to measure, and comparative location, the 
 veritable measure of the king's chamber region, with respect 
 to its like location in the 120 cubit height in the pyramid. 
 (4.) The temple and house lengths, together, or 60 -|- 40 
 = 100 cubits = 171.766+ feet, or 2061.2 inches, was that 
 beautiful proportion, as extending from the base of the 
 pyramid to the point C, marking the center point of the 
 king's chamber region (refer to § 78). From the base of 
 the pyramid to A is 137.509 + 68.7066=206.12 feet, or 
 120 cubits (taken at the standard measures). The king's 
 chamber region taken from the point C, with a radius of 
 34-3533+ f'^^t, is 68.706 feet, or 20 cubits x 2 = 40 cubits. 
 There can be no mistake as to the sameness of intention as 
 
 12 
 regards these like measures. (The value 206. feet, or 
 
 120 cubits, was a great governing measure, and as it im- 
 plied also the full numerical value 20612, being constructed 
 from it, it was the great number and value, after all, of 
 all construction, as is fully set forth in this work. This 
 number of 120 cubits, then, thus composed, is 206, and
 
 § 84. The Tempi.e of Solomon. 169 
 
 its use thus, and in its original term of 20612, is implied 
 in the great measuring word throughout Scripture and 
 Kabbala. That word is Dabvar, "1^1, or 206, and is the 
 Logos word.) 
 
 (5.) The holy of holies^ as a cube of 20, was ji^st ^ 
 
 of the cube of the king's chamber region in the pyramid, 
 or the full cube of the length of the king's chamber. (This 
 use, emblematically, is referred to elsewhere ; but it is of 
 so curious a nature that it is well to state it again. The 
 primal one, or cube, was taken as containing all material 
 and all life within itself. It was male-female ; but when 
 disintegration took place of the one into two separated and 
 opposed existences, as oi male ixnd female, each had to be 
 a perfect one, also, in its special construction. To make, 
 therefore, z. -perfect one, which will combine these opposed 
 relations, they are to be used together, and it requires just 
 8 of the smaller cubes, viz., 4 males and 4 females, to- 
 gether to make the larger. The king's chamber regioii is 
 the great cube of this union ; and the king's chamber, as 
 to its length of 20 cubits, was the eighth part of the whole 
 cube, and, of itself, was, as to its length, an oblong of 
 two cubes, or, in itself, male-female.) The division by the 
 cherubims divided it into halves, making a nearer approxi- 
 mation to the king's chamber proportions. The ark, though 
 similarly a small rectangular solid or oblong, placed in the 
 holy of holies, as the cofter was in the king's chamber, was 
 differently proportioned, showing a difference of use in 
 measurement. 
 
 (6.) As to colors, the white, and red, and black of the 
 temple tallietl with the like of the pyramid, the golden 
 being an exception. 
 
 (7.) As to the ark, it was 2- cubits long, or 51.53 
 
 inches, or, numerically, the area of the circle inscribed in 
 the square of 6561. Its height added to its breadth:^ 3 
 cubits, or 5.153 /<:(?/; showing, for one thing, that it was 
 so contrived as to be reducible back to the elements whence
 
 170 The Temple of Solomon. § 84. 
 
 its, and all the temple measures, were derived ; and this 
 could not be done, by possibility, except by the intervention 
 of two grades of measure, and those were, respectively, 
 the British inch and foot. 
 
 (8.) But the sameness of relations of the temple with 
 those of the pyramid seems to be confirmed by the use of 
 the cherubims. They were 10 cubits high, and by their 
 use marked out the division of the holy of holies into 10 
 cubit measures. Take some pyramid developments : 
 
 (i.) 5153 X 8^41224 inches^ the circumference of the 
 
 base of the pyramid placed in the sphere. 
 
 206.12 
 (2.) 5153 X 2 = 20612. = 17.17666 feet, or 10 
 
 42 
 cubits. 17.17666 X -^ = 3053+ feet, or 36643.55 inches, 
 
 or the circumference of the base of the pyramid proper. 
 
 o this circumference is 381.7037-I- feet, or, 
 
 222.222+ cubits. 
 // is thus seen that the use of the 10 cubits value devel- 
 ops the — base side of the great pyramid in the measure of 
 
 112 cubits. It is seen that in the development of the holy 
 of holies, the ark contains the original measures. It is 
 placed in a space of 10 cubits. This 10 cubits measure of 
 division is made by the use of the 3*15, or cherub, and the 
 
 numerical value of cherub is 
 
 222. 
 
 There is a most strange and far-reaching value connected 
 with this cubit value of 444.444 for the base side of the 
 pyramid. The 4 sides would equal 1777-777+ cubits. The 
 pyramid was constructed from that value of the Parker el- 
 
 42 
 ements of 20612 X -5 = 36643.55+ for circumference value, 
 
 42 
 and 6561 X ^= 1 1664 for diameter value, or for height. 
 
 Now,
 
 §84- 
 
 The Temple of Solomon 
 
 171 
 
 (I.) 36643.55 ^ 20.612 = i777-77» and 
 
 (2.) 11664. -i- 6.561=1777.77; 
 
 or, numerically, this very pyramid base value. This is 
 
 42 42 
 
 brought about by the factor -^as common to both. ~= 
 
 16 
 
 — ; and, as was shown, this expression embraces the fac- 
 tors of the square foot British, because 16 X 9 ^ 144- The 
 reverse use or 16 -=- 9 = 1777. 777+, showing that these fac- 
 tor numbers, by another change of use, at once lay the 
 foundation of the pyramid and temple works ; the knowl- 
 edge of the scales of measure, and the use as applied to 
 geometrical elements, being implied. Somehow, all the 
 systems — Hmdu, Egyptian ^ Hebrew, 2ind British — belong 
 to one another, and are, in fact, one system. 
 
 So, here in this temple, and its holy of holies, and its 
 ark, we have the ear-marks of the full use of the pyramid 
 measures, under another style of architecture. Was there 
 ever such a concordance of measures, unless attended by a 
 similarity of use? 
 
 {d.) The representation of the holy of holies, in verti- 
 cal cross section, is as follows : 
 
 Red 
 
 G ol tl^n 
 Blaek. 
 
 tJachln. 
 
 The ark was the residence of Jehovah, and he specifies 
 his place as at the meeting of the cubes of the ark, be-
 
 172 The Temple of Solomon. § 84. 
 
 tween the cherubims. What was his numerical essential, 
 to accord with all these measuring properties? He was the 
 perfect one, or i — O, or a straight line, one, of a denom- 
 ination of the perfect circle, O — viz., 20612; reduced 
 evenly and by scale, to an inappreciable minuteness, not 
 to be seen by the eye, nor conceivable by the senses, yet, 
 nevertheless, this -perfect one. 
 
 Kabbalistic Matters Connected with the Temple De- 
 scription. 
 
 [e.') The astronomical features about the temple were 
 plain. The entrance was toward the rising sun, or the 
 vernal equinox. The holy of holies was in the west of the 
 structure, toward the place of the setting" sun , the autumnal 
 equinox. The great quadrangular was oriented and faced 
 to the four winds, or N., E., S., and W. The brazen sea 
 had on its ledges the ox, the cherub or man, and the lion. 
 The lion was the sign of the summer, the man of the win- 
 ter, and the ox of the spring. The sign of autumn, or 
 Dan, was left out — that worm all-devouring, never-dying, 
 the scorpion. This has an architectural parallel. Nork 
 relates that the temple oi Notre Dame, in Paris, was form- 
 erly a temple of the goddess Isis, or the sign Virgo. On 
 this temple was sculptured the zodiac with its signs ; that 
 of Virgo [Isis) was left out, because the whole temple was 
 dedicated to her. So with the temple. The whole relig- 
 ious cultus of the Israelites was located in the sign Dan, or 
 Scorpio, for it was here that " I have waited for thy salva- 
 tion, O Lord [fehovah).'" Under another form, Scorpio 
 was the gate of the woman, for it was the door of the eve- 
 ning, or darkness. In Genesis, God says of the evening, 
 or darkness, that it should be called Lilah, Prefix the 
 letter D, or hieroglyph of a door, and there results D-lilah, 
 or '■^ Door of darktiess," or gate of the woman, or the 
 place of the new conception — that gate into which Sam- 
 son, as the sun shorn of his beams, his 7 golden locks, 
 type of the 7 sunny or prolific months, had to enter in the 
 autumn of the year. It is said that anciently the signs
 
 § 84. The Temple of Solomon. 173 
 
 Virgo and Libra were somehow held as one ; then there 
 would run the three months of July, August, and Septem- 
 ber, as embraced between the signs of Cancer, the crab, 
 and Scorpio — that is, Leo and Virgo, or the male-female, 
 would be embraced between the two similar creatures, the 
 crab and scorpion, or between the two cherubims, just as 
 were the two cubes of the holy of holies. Water was a 
 female element sacred to the womb, or producing power. 
 "Born from the womb upon a flood." Brass was a metal 
 symbolizing the nether world, or the winter sun, or the 
 darkness of the year, which was that of the womb where 
 life should be given to the new year. The recurring year 
 was symbolized by a serpent swallowing (one or more units 
 of its length) the end of its tail ; and thus was a female 
 emblem as reproducing itself. The word for serpent was, 
 in Hebrew, Nahash. But this is the same term for brass, 
 and has, also, these singular meanings in this connection : 
 "Properly the firm, hence the basis, ground-suf fort' oi 
 the bottom of a kettle standing on the fire ; figuratively, 
 the female ■pudenda.^'' The brazen sea was Typhonic 
 then. The brass works belonged to Dan, who held the 
 gate to the depths of darkness. All this is conveyed in the 
 description of the building of the temple. Take the two 
 squares of the zodiac, representing two quarters, or quad- 
 rants, of the year ; one lorded over by Leo, the lion, next 
 to the summer solstice, and then going west and down- 
 ward, the second quadrant is reached, extending to the win- 
 ter solstice, and lorded over by Dan, the scorpion, who 
 holds the entrance. This upper square, or cube, is 
 golden, the male, full of the fructifying power of the 
 sun ; the lower one is the female, and black, the womb, the 
 brazen part. Now it will be seen that Solomon, the son 
 of David, of the tribe of Judah, whose sign was the lion, 
 made all the gold work. But it was Huram that made the 
 brazen sea and all the brass work. Who was Huram ? 
 The son of a widow, a woman of dark or black weeds, of 
 the tribe of Dan, whose sign was the Scorpion. He made 
 the work pertaining to his portion of the zodiac — that is.
 
 174 The Temple of Solomon. § 84. 
 
 the place of Typhon, of winter, of darkness, of woman, 
 of the womb, etc. So, here is represented the western 
 half, and the summer and winter quarters of the celestial 
 sphere, squared, or cubed. Hur is the same with mount 
 Hor, as opposed to Mt. Sinai, where the two mountains 
 represent the same types as above, under the forms oi fire 
 and cold. This same figure is attached, also, to the build- 
 ing of the tabernacle. Touching the male and female 
 cubes, the name mn% as embracing both, is also male and 
 female in his name, the two being married. Separated, ♦, 
 is the phallus, and mil is Eve^ or the womb, or the dark- 
 ness, or brass, or serpent. Separated so as to be distinct, 
 and mn becomes widowed, or a widow, with a right to 
 weeds as dark as the blackness of the depths which her 
 quality represents (yet cunningly enough carries the   con- 
 cealed). The year, personified by the sun, was as God, 
 supposed to be thus married, but at Scorpio the worm was 
 represented as separating the male from the female parts, 
 whereb}'' one and the female part of the deity, going down 
 to her own -place of the dark womb, into the waters, be- 
 came, as brazen rays, or rays deprived of the golden fruc- 
 tifying power, widowed. And thus the astronomical types 
 are expressed. This double cube, red as representing 
 the earth, seed measure of construction, should be, one 
 black, and the other, white; and, in fact, the earth was 
 supposed of itself to be made up of like double cubes, fitly 
 framed and matched, to its full and just proportions. 
 
 Solomon, who built this structure, was the son of David, 
 who was the son of Jesse. In Hebrew, this word is *tJ^*, or 
 ISI. In Hebrew, the word V, or being, existence, is 
 puncted so that in English it reads Jes. From this V was 
 derived ♦C^*, or Jesse, and this, in the New Testament, is 
 the Hebrew name of Jesus. The English word, and the 
 Greek translation, is Jes, with the idiomatic suffix us, and 
 eus, not belonging to the word. In many cases, and in 
 many manuscripts, this word V^ , Jcs, is written C^^X, aish, 
 man, from the form \^^,fire. There is but little doubt but 
 that all these words are organically and generically the
 
 § 84. The Temple of Solomon. 175 
 
 same. The implication is that, while man is a being, he 
 is also of the primary jlame^ or fire. Carried to the ex- 
 tremes of meaning, and Jesus, as God in the personifica- 
 tion of man, was also the highest essential fire, which, by 
 parallelism from the spiritual to the real, in the material 
 world, is the sun in the heavens. While the derivation is 
 good as y«-us from t^% the other was a positively intended 
 alliance in the name, by the framers of the New Testament, 
 because by them he is called ^'- son ofijnan," the Ben Enosh 
 of Daniel, and son of Seth ; and this necessitates the other 
 form of derivation. ''Son of man"" was Enosh, {i^1y^?, 
 and in this name, as relates to the fire and sii7i meaning, 
 there is a determinative enforcement, for the letter values 
 read 365 — i, or the phases of the solar year. 
 
 There is something peculiar as to the opening of the 6th 
 chapter of i Kings : "And it came to pass, in the four hun- 
 dred and eightieth year after the children of Israel were come 
 out of the land of Egypt, in the fourth year of Solomon's 
 reign over Israel, in the month Zif, which is the second 
 month, that he began to build the house oi {Jehovah) the 
 Lord." The chronological date here pointed out has been 
 a very great vexation and stumbling-block to commentators. 
 It is generally looked on as a date falsely taken. But it is 
 well enough a determination of the meaning of the struc- 
 ture which was about to be built, for 480-1-4 + 2=486, 
 
 which, in feet, as coming from 6561 X — ■= 11664 inches, 
 
 was the height of the great pyramid, or sun measure, the 
 interior works of which were copied after in the temple, 
 as has been shown.
 
 APPENDICES. 
 
 The ancient kno^vledge will again abound, and overflow, as water, 
 upon the earth. The remains of this knowledge are everywhere about us, 
 in cvery-day use, and ^perfect. Its revival will point to the restoration of 
 the period prior to the conficsion of lip. The prophet saw a valley filled 
 with a confusion of dry bones ; but the bones were perfect and all there : 
 so with us are the vestiges of this knowledge. At the tvord, bone came to 
 its bone; the perfect framework of the ma7i. "And he said, son of man, 
 can these bones live.? . . and behold a shaking, and the bones came to- 
 gether, bone to his bone : . . Then, thus saith the Lord God; come from 
 the four zvi?ids, O breath, and breathe upon these slain, that they may 
 live." This is coming to pass. Then shall the people know HIH^
 
 INTRODUCTION TO APPENDICES. 
 
 § 85. It is claimed that, in and under the letters and 
 words of the narrative form, the Books of the law of 
 Moses, as the foundation of the whole Bible, contain the 
 same cosmical developments with the pyramid, and that by- 
 means of numerical values ; that this is enforced in illus- 
 trative and determinative ways by the narratives, and by 
 the hieroglyphic values of letters and words running par- 
 allel with the narratives, but by change of meaning point- 
 ing to and determinating the cosmical lessons, or exact 
 problems; that while the three ways — viz., narrative^ 
 mathematical, and hieroglyphic— -Z-xq diverse from each 
 other, yet they all display themselves without harm to each 
 other, in its special way or sense : that is, the narrative 
 may be true, the mathematics may be well taken, and the 
 hieroglyphic reading may be exactly defined and true to 
 its scope. While this is so, each method may in some sort 
 help the other, by, in some way, setting it forth. 
 
 The Opening Sentence in Genesis, 
 (a.) The first sentence in Genesis is. 
 
 It must be borne in mind that in the scroll-reading the let- 
 ters are not separated, but run together, without point di- 
 visions, from which fact there are two readings to this 
 sentence, as follows : 
 
 (i .) B'rashith bara Elohim eth hashamayim v'eth h'arets. 
 
 (2.) B'rash ithbara Elohim eth hashamayim v'eth h'arets. 
 where the verbal dara, to create, instead of the per/cct of 
 Kal, may be thrown into the third person sin gn] ar yut tire 
 of hithpacl: (This reading pointed out by Rev. Dr. Ju- 
 lius Goldammer.) The translation of this sentence is, " In 
 
 the beginning God made the heavens and the earth ;" and 
 
 (179)
 
 i8o Introduction to Appendices. § 85. 
 
 this is the narrative form of the sentence. Suffering a closer 
 analysis, this narrative form assumes a cosmical interpreta- 
 tion, thus : " ^" is a prepositional prefix, signifying in the 
 largest sense in, and with material, carrying the idea of 
 in, or out of, ox from, as of material. Rash = head, and 
 is a masculine noun, but here used with a feminine termi- 
 nation, it signifies with the prefix and the terminative, "/« 
 the substance of,'' or " out of the head, as a material, or 
 essential.'" Elohim is a compound made up of El, a mas- 
 culine singular, meaning the all-embracing God ; to this 
 n, or h, is added, as separating the elements of El, and out 
 of them constituting El-h, or male diVid female. It is the 
 compound of two characteristics, involving the use of two 
 offosites from whence to mold, as, in sexes, the duality 
 of man and woman ; as, in forces, the duality as centripetal 
 and centrifugal — for example, electricity combining two 
 opposites under the manifestation of modification of one 
 initial force. To this El-h, thus combining these two op- 
 posites, a plural termination is added, indicating the two in 
 combination, thus, '■^ God in the {assumed) double relation 
 of two opposites.'" Then follows, not " they created, "" as 
 of gods, but ''He created:'" and then, not the heavens, as 
 we laxly take it, but " the two, or duplex heavens;'''' for 
 in Hebrew, from the force of a double construction, the 
 term is dual, not singular. So the sentence reads, "In (or 
 out of) his own essence as a womb, God, in the manifesta- 
 tion of two opposites in force, created the two heavens, and 
 the earth," as to the heavens, the upper, or light, and the 
 lower, or dark; signifying the opposites of heat and cold, 
 day and night, expansion and contraction, summer and 
 -winter; in short, the all-embracing cosmical relations. 
 
 By this reading, a mere meaningless abstract enuncia- 
 tion assumes a general form of shadowing forth the ineans 
 and use by which creation was effected. 
 
 Its Parallel Numerical Reading. 
 (3.) Now comes the basis of a more specialized and 
 exact reading, yet supported by the narrative style and the
 
 § 85. Introduction to Appendices. 181 
 
 closer reading. Referring back to § 34, there is shown the 
 great use of the differential El, as 31, to link together cir- 
 cular with plane measures, all of wliich are turned to cos- 
 mical uses ; for, taking the limits of the British measures, 
 and diffe7'cntiating hy EL or 31, we have 
 
 (I.) 144 — 31--113 5184— 3i = 5i53» 
 
 thus introducing two bases of relation of diameter to cir- 
 cumference. Now, El is the first god-name, and the great 
 working number 31 ; and, by parallelism, in the construc- 
 tion of the pyramid interior works, where the cosmical 
 enunciations are made, the starting ^oint is the intersection 
 of the floor line of the descending passage-way with the 
 exterior slope line of the outside of the structure, and on 
 this starting point all else interiorly is made to defend. 
 Now, it is seen, § 64 (2), that this point of opening into the 
 interior is located at a vertical height of 31 cubits ; the 31 
 thus beinor the starter number of the entrance. But this 
 being so, the dimensions of the descending passage-way 
 depending on this point, are seen to be, § 72 {c), a combi- 
 nation to iret a mean between diameter of i to a circumfer- 
 ence of 314, and a circumference of i to get a diameter of 
 318 ; so that the end, or foot, may give a line of a slight 
 variation on this same mean value, looking to the expres- 
 sion of the value of the square of the earth's equatorial 
 diameter /;/ miles. It will be further noticed that the pyra- 
 mid itself is a change on the standard values, so that its 
 
 - base side and the height of its king's chamber shall 
 4 & o 
 
 obtain the factor 6, of 36 ; and so likewise here after the 
 radical, and radical use, of El, or 31 , is had, it is made her- 
 maphrodite by the addition of the letter H, or 5 ; together 
 framing the number 6 X 6 = 36. So these two numbers, 
 31-1-5 = 36, denote the pyramid work for cosmical meas- 
 ures. 
 
 Take, now, the more exact enunciation of this sentence : 
 B' — rash is 213 — 2, and 213 is 355 (one of the pyramid 
 forms of circumference to a diameter of 113) X 6, or
 
 1 82 Introduction to Appendices. § 85. 
 
 355x6 = 213-0; where also 355 is the Hebrew word 
 shanah for the lunar year. But, by § 35 (3), 
 
 (!•) 113 : 355-OOOI '.'. Z^ '- 113-098. 
 
 Take, therefore, a circumference value of 355.0001, and 
 cross it by 6 diameters of 113. 100, thus subdividing it into 12 
 compartments; and, by means of the form of 36 : 113.098, 
 as denoting a straight line diameter value in 36, the whole 
 value can be changed into square forms of 6 X 6, or 36 X ^d' 
 The word rash, signifying this, the letter B, ov 2, shows 
 that this form is to be used twice, either together or sepa- 
 rated. If this is done, then 113.098 becomes 226.2 ; and, 
 as to this, see the measures of the queen's chamber, § 79. 
 Kabbalistically, the form is used twice as signifying the 
 '■'measure above'' and the '^ measure below"" of the heavens 
 and of the earth ; that of the heavens being the celestial 
 circle of 360°, and the circle of the same value served to 
 belt the earth. 
 
 Now, this use is determined by the use of the full word 
 form Elohimy D*(l7K, used numerically, and in a determi- 
 native form of what is being done in a general way; for, 
 place the word in a circle, 
 
 and then reading the values from left to right, we have 
 314^5' or the relation of circumference to a diameter of 
 one; which word, as a whole, then, is made to signify the 
 effect of the detailed values of the radical words 31, and 5, 
 or El, and h. This enforces the parallelism made. But 
 the use of these forms in the pyramid are shown to develop 
 the measures of the heavens and of the earth ; so here, for 
 the narrative says, that in them (take the hithpacl form 
 of the verb) developed themselves the heavens and the
 
 § 85. Introduction to Appendices. 183 
 
 earth, a perfect parallelism in one way and use, as will be 
 seen, of the same forms. Beyond this, taking the words 
 '■''heavens'' and earth:'" heavens is shdmayim, D^!Dt^, and 
 add the letter signs, we have 3-J-4-I-1 +4=12. Earth is 
 Arcts, 10i<, and add the letter signs, and we have 14-2 + 9 
 = 12. Then each of these words, for one value, sets forth 
 the value 12. Both words are used with the definite ar- 
 ticle n, or 5, and this can be used either as 5 or .5 ; so that 
 the words may denote the use of 12 with the factor .5, and 
 12 X -5 =6» where the factor 6 is again indicated as twice 
 used to form a line of 12, showing use of the same factor 
 value as to the heavens and the earth, with a fixed rela- 
 tion 12. 
 
 Thus, out of the opposite relations of diameter, or straight 
 line, to circumlerence, or curved line, a factor value is 
 raised to apply to a comparative knowledge of the heavens 
 and the earth, the word Elohim determining \h& details of 
 work, and the use of the exact circular relation ; therefore, 
 the narrative form justifies and shadows forth the exacter 
 mathematical and astronomical use. 
 
 This use and factor form underlies all that follows. Take 
 tlie unit value 6, as connected with the British measures, 
 § 30 («), and let it be the factor number of the hours in a 
 day. A day was a circle, and was divided into day or 
 light, and evening or dark, and these qualities were sexed, 
 as light =^mah., and nights female. By the Hebrew 
 usage, circles were displayed as squares, and a day, of day 
 and night, was a perfect square ; but, as each perfected 
 work had of itself to be perfect, and the day was male, and 
 the mghtyemale, here was (by division of the 6 factor cubes, 
 or squares, into two parts each) an oblong for each, which 
 would not do, so the perfect square was divided into 4 
 others, which were perfect in themselves — i. e., two ferfeet 
 males and two perfect females. Now, the division into 
 smaller circles of hours carried the same necessity of per- 
 fection, and therefore, in hours, the perfect day was divided 
 into 12 males and 12 females. (The factor square di- 
 vided = 2, one male, one female, each an oblong ; divided
 
 184 Introduction to Appendices. § 85. 
 
 again, and each factor sqnare becomes divided into /our 
 parts, each a perfect square, or two males, two females, 
 or, for the whole 6 factor squares, twelve males, twelve fe- 
 males.) Such being the condition of preparation after 6 
 days have elapsed, on the sixth day the results of the sixth 
 day's labor culminating in the fructifying principles of 
 sacr, membrutn virile and nckahvcih, yoni, (see Gen. i., v. 
 27), are commanded to multiply. In 6 days there are thus 
 made 72 hours of night and 72 hours of day, and 72 X72 
 = 5184, or that subdivision of a solar day, which, with 144, 
 constitutes the limits of the British long measures, 
 
 144 and 5184 ; 
 and these limits are here united in the sixth day, for now 
 the number of hours are 144, and the multiplication or 
 square of their division into 72 and 72 produces the other 
 limit 5184. Then, as above, by use oi El^ or 31, we have 
 
 144 — 31 = 113 5184 — 31 = 5153; 
 
 thus showing that the sixth day introduces us to the use of 
 the Parker and Metius forms of 
 
 6561 : 20612 and 113 : 355, 
 on which the pyramid relations are all based. And, in 
 fact, this does introduce to the seventh or circular day. 
 
 Arets, earth; Adam, man; and h-adam-h, earth; are 
 cognate to each other, have a like signification, and 
 are personified under one form. 
 
 (c.) Now, there should be some enunciation, which 
 WQuld, in a generalized or narrative descriptive way, rec- 
 ognize this numerical or measuring use as connected with 
 the phallic ox fructifying form; some term which, by 
 stated qualities, would cosmically embrace all under these 
 uses. This was the case, and the showing will prepare one 
 to enter into the further meaning of the combination of the 
 measuring W\\h iho. phallic scheme, (i.) An earth iovm. 
 was built on a man form in the Bible, for the word Adam, 
 for man, by a suffix h, became Adani-h, or h-adam-h, or 
 the fruitful earth. These words were founded on the rad- 
 ical Dl, dm for blood, whence Adam (which radical un-
 
 § 85. Introduction to Appendices. 185 
 
 derlies the word Dann\scus, connected with Ellczcr^ or 
 318, the steward of Abraham's house). Now, from D1, 
 dm^ there comes the form Adaf/i, Olii ; and this, as a verbal, 
 has the meaning /o be 7-cd or blood-colored, and also to 
 bind, to jit firmly to one another. The Hifil participle is 
 DnK"/t3, or Mddini, and this, among the Hebrews, was the 
 name iov Afars. [See Nork's Worterbuch, under '■'■£^sau" 
 and in other places. He quotes from Jalkut Rubeni. The 
 Rev. Dr. Julius Goldammer has furnished, also, as au- 
 thorities for this :. (I.) Talmudic; Pirke, of Rabbi Eliezer, 
 c. 18 ; Midrash on Proverbs, c. 9. (2.) Maimonides, in 
 his "Moreh Nebuchin." (3.) Solomon Ibn Gabriel, in 
 his "Crown of the Kingdom." (4.) 77ie Sohar.~\ Seyf- 
 farth Sciys (Chronology, page 33) : "In what language did 
 the ancient Egyptians write? This was, of course, the 
 Coptic. . . . Now, it has been ascertained that the 
 ancient Coptic was far more nearly related to the ancient 
 Hebrew, or Chaldee, than to any other language in the 
 world ; that a great many grammatical forms, and nearly 
 all the Coptic (Egyptian) roots, are derived from the ancient 
 Chaldee," and more also to the same effect. He certainly 
 establishes this by the constant occurrences of examples. 
 
 Now the Egyptain god-name for Mars was Artes, Jf}r/^^, 
 Ertosi, Eprcoac, and the word is but the use of the Chaldee, 
 or Hebrew form Arcts, or earth. This can be seen at once 
 by taking the consonants of the word and dropping the ac- 
 cessory vowels : thus the Egyptian word is ARTS, and the 
 Hebrew word is ARTS ; and just as in the case of Adam 
 tor man, Mars, and earth, here there is Arets for earth and 
 Mars. The fact seems to be that the word Mars was not 
 so much a person as a generalized term for the cosmical 
 phases oi production and destruction, or birth and death. 
 Blood was life, and the shedding of blood was as much 
 the type oi conception as of death, or slaughter. And so, 
 in fact, did the Egyptians esteem this god as the Primal 
 Generative Principle, combining the springing of all things 
 of heaven, of earth, and of humanity, in himself. As to 
 this, Seyffarth (Beitraege zur kenntniss), under "/Ir/C5,"
 
 i86 Introduction to Appendices. § 85. 
 
 Mars, quoting, says: " Addit Cedrenus (Salm. i,C.): 
 Stella Martis ab ^gyptiis vocatur Ertosi (plantare, gene- 
 rare). Significat autem hoc omnis generis procreationem 
 et vivificationem, omnisque substantias et materice naturam 
 et vim ordinantem atque procreantem." So, it seems, that 
 his being the god of war, and of bloodshed, was but a sec- 
 ondary idea flowing out of the primary one of shedding of 
 blood in conception, for the first time. Thus, the words, 
 are the same for ARTS, Hebrew, and ARTS, Egyptian, 
 and combine the primal idea of earth as source; precisely 
 as in the Hebrew itself, under another form, Adam, and 
 Madim, Jkfars, are the same, and combine the idea of earth, 
 with Adam, under the form of h-ad(ini-h. 
 
 Now, Mars was the Lord oi birth, and oi death, oi gen- 
 eration and of destruction, oi ploughing, of building, of 
 sculpture or stone-cutting, of Aj^ chit e dure, of the origin 
 of measures, and of their uses; in fine, of all comprised 
 under our English word ARTS. He was the primal prin- 
 ciple, disintegrating into the modification of two opposites 
 for prodriction. Astronomically, too, he held the birth- 
 place of the day and year, the place of its increase of 
 strength, Aries, and likewise the place of its death, 
 Scorpio. He held the house of Venus, and that of the 
 scorpion. He, as birth, was Good; as death, was Evil. As 
 good, he was light; as bad, he was night. As good, he was 
 man; as bad, he was woman. He held the cardinal 
 points, and as Cain, or Vulcan, or Pater Sadie, or Mel- 
 chizadek, he was Lord of the ecliptic, or balance, or line of 
 adjustment, and therefore was The fust One. The an- 
 cients held to there being seven planets, or great gods, 
 growing out of eight, and Pater Sadie, the fust or Eight 
 One, was Lord of the eighth, which was Mater Terra. 
 The pictured, or delineated, symbols of his power, were : 
 Membrum virile, oi '■'■ Martis generatorisf Testis and 
 Toni, " truly the female pudenda sacred to Mars," and 
 equal to the egg with the central germ, or the circle zuith 
 the central point, a Pythagorean emblem ; the triangle; 
 the pcniapla, or the outlined form of the pyramid with its
 
 § 85. Introduction to Appendices. 187 
 
 apex and base corner-points ; the Scala for measures ; also, 
 the rota, or crossed-wheel or circle ; and many others. 
 
 Thus, the Mars idea is a generalized one, comprehend- 
 ing, by -pcrsonijicationy all the properties hereinbefore com- 
 bined ; and is an enunciation which will, in a general way, 
 recognize the numerical, or measuring system, with the 
 ■phallic, as combining the heavens and the earth, and man 
 and woman. This is a brief outline of the volume of facts 
 derived from historical records, from hieroglyphic, and 
 Egyptian, and other, sources, to be found in the work of 
 Professor Seyffa-rth ; which work seems to be of great value 
 as to the real truths regarding these matters. 
 
 So, Arcls, earth, and Adam, man, and Adam-h, or h- 
 adam-h, earth, are cognate under the primal form oi source, 
 in Mars. The idea was to commingle and commonize all 
 things, whether earth, man, woman, time, distance, and 
 solid shapes, under a one; yet, again, to separate the one 
 into a working, living, fructifying two. 
 
 Enigmatical Constructions appearing in the First Face- 
 Readings of the Bible Narratives. 
 
 {d.) Besides the class of readings of the narratives of 
 the Bible mentioned, there are still others, which, while 
 not being of much depth, are yet removed a little from the 
 first face-reading, and require for non-orientalists some lit- 
 tle instruction to realize. These serve to take one a step 
 further in the development of the first face-reading. In 
 regard to the Garden of Eden, for instance, it appears on 
 the first face simply as a locality for the construction of the 
 woman ; whereas, by an orientalism, it appears as an initi- 
 ation of the knowledge of the sexes. The allegorical use 
 or purpose of the Garden of Eden description of the dis- 
 integration of one into two, in its descriptive terms, for the 
 elaboration of production, is very happily illustrated in a 
 note to " The Story of the City of Brass," in Lane's ele- 
 gant translation of '-'■The Thousand and one Nights." It 
 is as follows : '* A certain king saw a beautiful damsel upon 
 the roof of her house, and was captivated by her charms,
 
 i88 Introduction to Appendices. § 85. 
 
 and learning that she was the wife of his Wezeer, he sent 
 this minister to examine the state of one of the provinces, 
 and went to pay her a visit. But he received from her a 
 reproof which confounded him. He quitted her abode 
 abruptly, leaving his seal ring by mistake, in his confu- 
 sion, beneath the cushion against which he had been re- 
 clining ; and w^ien the Wezeer returned to his house, he 
 happened to put his hand beneath the cushion, and there 
 found the king's seal : so he separated himself from his 
 wife for the space of a whole year, not even speaking to 
 her. She knew not the cause of his anger ; and at length 
 when she was wearied by his conduct, she complained to 
 her father, who went in to the king, and finding tlie Wezeer 
 in his presence, and the Kadee of the army before him, 
 accused the Wezeer in these words : ' May God (whose 
 name be exalted) amend the circumstances of the king ! I 
 had a beautiful garden, which I planted with my hand, and 
 I expended upon it my wealth, until it bore fruit, and its 
 fruit was ripe, when I gave it to this thy Wezeer, and he 
 ate of it what was pleasant to him, after which he aban- 
 doned it ; so its flowers withered, and its beauty departed, 
 and its state altogether changed.' And thereupon the 
 Wezeer said, ' O king, this person hath spoken truth in 
 that which he hath said. I guarded it, and ate of it ; but 
 one day I went to it, and saw the footstep of the lion there ; 
 so I was afraid of him, and withdrew myself from it.' The 
 king therefore understood that the footstep which the Wezeer 
 had found was the king's seal that he had left by mistake 
 in the house ; and upon this he said to the Wezeer : ' Re- 
 turn, O Wezeer, to thy garden, and thou wilt be safe and 
 secure ; for the lion drew not near it. It hath been told 
 me that the lion came thither ; but he did it no injury, by 
 the honor of my fathers and my ancestors ! ' So, the 
 Wezeer, on hearing this, said, ' I hear and obey.' " It must 
 be remembered that the mental characteristics of the ori- 
 entals are the same to-day, as they were when the descrip- 
 tion of the Garden of Eden was drawn ; not only so, but 
 there are very strong evidences that " The Thousand and
 
 § 85. Introduction to Appendices. 189 
 
 One Nights" are of enigmatical construction, containing 
 even the same pyramid problems, based on the same sys- 
 tem, herein set forth: this being the method of its hand- 
 ing down. The author has never examined very carefully 
 into this matter; but refers, as instances, to "The Story 
 of Noor-Ed-Deen and his Son," and to that of " Hasan-El- 
 Basrah," in Lane's edition. 
 
 For the purpose of merely showing an allegorical dis- 
 play, barely concealed in the narrative, take the following 
 two instances, which will amply suffice the purpose : 
 (i.) The word Samson means the sun, and the narrative 
 is a history of his travel in his orbit. Samson, root value 
 C*^'C* = the sun. " Tell me, I pray thee, wherewith thou 
 mightest be bound ? And he said unto her. If thou w^eavest 
 the seven locks of my head with the web." Again : " If 
 I be shaven, then my strength will go from me. 
 And she called a man, and she caused him to shave off the 
 seven locks of his head (i. e., the seven months of the fer- 
 tilizing power of the sun) ; and his strength went from him. 
 But the Philistines took him, and put out his eyes, and 
 brought him down to Gaza (or Goat, zodiac sign of De- 
 cember, or winter solstice), and bound him with fetters of 
 brass ! (the change of color from the golden rays of sum- 
 mer;) and he did grind (or continue his orbital path) in 
 the prison-house. Howbeit the hair of his head began to 
 grow again after he was shaven (his power increased after 
 the winter solstice). And they called out Samson out of 
 the prison-house, and he made them sport ; and they set him 
 between the pillars" (2.) Job was the personification of 
 the history of ihe year. The prosperity of Job was checked : 
 (i) at the time of plowing; (2) at the time of the summer 
 solstice ; (3) at the time of the disposing of the harvest ; 
 (4) at the time of the vintage. At this last time a whirlwind 
 came from the desert, and blew down the house. (p5y = 
 Tsauphon = Typhon=T3'phoon = the North, the ^-z^Z/side 
 of nature, as also the arid heats. Teman was bounded north 
 by the desert. The desert was significant of Typhon. 
 Typhon, the brother of Osiris, held sway beyond the gates
 
 ipo Introduction to Appendices. 85 
 
 of Sheol, and was also represented in the whirl-wind^ 
 "Then Job arose, and rent his mantle, and shavcd\\\'& head." 
 (The priests of Baal, the sun, were tonsured.) 
 And said. Naked came I out of my mother's womb, and 
 naked shall I return thither. The Lord gave, and the 
 Lord hath taken away. . . . And he sat down among 
 the ashes." (A cloud of fresh ashes is much like a fall of 
 snow.) "Now, when Job's three friends heard of all this 
 evil that was come upon him, they came every on^ from 
 his own place. ''^ This '-'•from his own place ^^ is extremely 
 significant, and is explained by the meanings of the names 
 of his three friends to properly carry out the astronomical 
 allegory. Take the names as they come : (i.) Eliphaz = 
 
 riD-^7N= God of Gold = Pluto ; Temanite = [Dfl = ptD = 
 The Concealed. The place of Pluto was, then, the five 
 sections under the royal arch, the Pit, the Inferno, of which, 
 as an Evil, Typhon held the gates bordering on Libra. 
 
 (2.) Bildad = "nS"p = son of lateo = D"lS = Pluto ; Shu- 
 hite = mt^= Grave, or cave, or dark -place, or, again, the 
 Pit. (3.) Zophar = n5i; = Death; Naamathite = HD^^J, 
 of whom the Rabbins say : '•'•She was the mother of the 
 demons.'" Thus explains itself the declining of Job under 
 the portals of the royal arch into the_;ft^^ of winter. This 
 expression, " to his own place, ^^ is also made use of as to 
 Judas Iscariot in the Acts. Seyffarth says that as the hie- 
 roglyphs of one sentence might contain the necessary con- 
 sonants of one or more other sentences, to avoid confusion, 
 the special use was settled by a determinative hieroglyph. 
 So with Job. To fix more determinatively the recurrence 
 of the seasons by law, to Job was at the last given three 
 daughters = the Three Fates (what had happened to him 
 was fated by the necessities of the seasons) = (i.) Keren — 
 happuch = Cornucopia = weaving or beginning of life. 
 (2.) Jemima = DV = day = ^w/arg-Zw^ the days of life. 
 (3.) Kezia = ^^Vp=<:«//z«^== the cutting the threads of 
 life : and this betokened that the same history was con- 
 tinually to be repeated. 
 
 The sameness of Arets, earth, and Adam, man, and
 
 § 85. Introduction to Appendices. 191 
 
 h-adani'h^ the earth, and the Garden of Eden, and the 
 womati, and the seventh day, can now be shown, and in 
 such a manner as to confirm what has been taken above, 
 as the numerical system of the Bible. It must be stated 
 that the differing meanings based on the hieroglyphic idea 
 are so conjluent and so radiating from one to another 
 subject, 3'et all united, that it is extremely difficult to place 
 the results of deciphering i^i course; and, therefore, a 
 little repetition here and there in these appendices, and a 
 little running off here and there into matters not specially 
 germane to the proper subject-matter in hand, at any place, 
 must plead this difficulty as an excuse and an apology.
 
 192 
 
 Appendix 1. § 86. 
 
 APPENDIX I. 
 
 The Ga7-dc)i of Eden. 
 
 § 86. The earth was of two qualities, one named sub- 
 sequently to, and in sequence of, the other ; as (i.) Arcts, 
 and (2.) Adain-h, or TP-Adam-h. Commentators have 
 made of (i.) the dry, arid, tcnprodactivc earth; of (2.) 
 they have made the soil, or the prepared form to germi- 
 nate. Proceeding out of the basic numerical values, as ab- 
 stractions, it has been seen that the factor value 6 has been 
 made to spring. Take the word JPArets in its numerical 
 use of 12 X -5 =6. Here the factor base is 6, while the 
 desired number is the aggregate of 12, of which there is 
 no even square root. It is given as an abstract quality, in 
 itself an idea, and in itself dry, or un/ruil/ul. But from 
 the transcendental form of a number, as of a line having 
 length, but without breadth or thickness, or any other sub- 
 stantive quality, or reality, change the use (preserving the 
 length idea), by converting it into the area, or positive, or 
 real form ; and so, 12- = 144, or the square of 12 equals 
 an area of 144. But this value is a vjord, and the word is 
 D"1J^, or Adam. Supply the suffix H, or h, or 5 (which, as 
 the half of one, or of ten, can be used either as .5 or 5), 
 or the female quality, making the word hermaphrodite, 
 and there results n"Q1N, or 144-5, or Adam-h, v/hich is 
 the word earth, alike with Arets, earth; and, as thus seen, 
 proceeds from its use. Proceed as if the form meant mul- 
 tiplication, and so 144 X .5 = 72. Taking this as an ab- 
 stract number, and turning it into an area form, and 72^ ■= 
 5184, or the characteristic value of one solar day. But 
 the word used for earth, thus derived, is, as it were, the 
 completed form JI- Adam-h, or Adam, \\\\\i a prefixed as well 
 as suffixed H, or h, or 5. Having 72, as Adam-h, then 
 for H-Adam-h there is 72 X 5 or by .5, and this equals 
 360, or ■^G, or the great measuring, astronomical, and geo-
 
 § S6. Appendix I. 193 
 
 graphical circle. So, Arcls, ov 6-|-6 = i2, the abstract 
 form, becomes Adaiu-h, or 144-5, and h-Adam-h, 5-144-5, 
 another or squared form of itself, with the factor value 5 at- 
 tached. Now, it is said that Elohim took Adam, or man, as a 
 fractional portion, from h-Adam-h, the earth; or, he took 
 him as 144 from 5-144-5 — that is, Adam, man, or 144, is thus 
 derived, and is the square of 6 + 6 = 12, or is a square of 
 foursquares of6x6==36 each; and 36x4 = 144, and 
 144 X -5 = 72 ; and 72 is the square root of one solar 
 day value; which 144 is the area value of the British foot 
 in square inches. Here Arcts, earth. Mars, becomes 
 Adam-h, earth. Mars, and also Adam, man. Mars; while 
 the paralleled mathematical use is seen to event. It may 
 be observed that the word "l£3^, ofhr, for "■dust,'" is rather 
 broken, ox fractional farts, the idea of dust being second- 
 ary, as a comminuted condition of parts of the earth. 
 
 Take the word j"T^"p, Gan-Odcn, or Garden Bden, and 
 add the letter signs as they run, or 3 + 5 + 7+4-1-5 = 24; 
 the numerical value is 24, and, to show the factor 6, this 
 becomes 24 -r- 4 = 6, or the 24 indicates four parts, of 6 
 each. Cross 12, or a line of 12, on itself, and there results 
 the sign of the letter il, or tau, whose sign value is 4, and 
 w^hose symbol /5 +. Complete the square on each factor 
 of '6, and there results the completed square of 12 X 12 = 
 144, composed of four small squares of 6 X 6, or ^6 each. 
 This is the nucleus form of the garden. In this garden, 
 the Lord God — that is, Jehovah Elohim — placed the man, 
 as Adam. As Ada?n, he -was 144, and thus he is himself 
 the nucleus of the garden. Up to this Biblical phase, the 
 god-name has been Elohim, among whose indications was '' 
 that of circumference to a diameter of ^«<?, or 31415. Now, 
 the other god-name is brought tbrward, or mH*, or yeho- 
 vah. For one use, this is to indicate a diameter value, 
 either as a straight-line one of a denomination of 20612, as 
 has been shown, or else as follows : The running values 
 of the word are 565 ^ , as the letters read. It has been seen 
 in Adam-h how suffix or prefix may be used as the factor
 
 194 
 
 Appendix I. 
 
 §86. 
 
 5, or .5. So here the use of * may be similar. Take the 
 form 113 : 355, where 113 is the diameter value. 113 X. 5^ 
 56.5. The letter values for this are Hin, or Eve^ or 
 womatiy and, as a word, this is the half of this word 
 niiT . * = I or 10. Then 56.5 X » % or the full letter form 
 r\T\y', equals 113 X 5 = 565. Thus it is seen that this word 
 is from the value 113, a diameter value. The use of the 
 two words, Jehovah Elohim, or Lord God, then denotes this 
 character or condition of values of shapes in this Garden 
 of Eden production. In § 35 (3.) is to be found the form — 
 (i.) 6561 : 20612 :: 1.90985 : 6 
 
 (2.) 113 : 355.0001 :: 6 X 6 = 36 : 113.098+, 
 where these circular values are made to produce, and in- 
 volve themselves with the factor 6. 
 
 
 
 
 
 
 
 
 
 
 & 
 
 ss 
 
 
 6 
 
 
 Take the form of the nucleus of the garden, or four 
 squares of 6 X 6 = 36 each ; all equal to one square of 
 12 X 12 = 144. Change 36 from area into line value, 
 then the cross -\- becomes extended so that the four arms 
 are each 36 in length, or as to each arm, have now be- 
 come equal to the third term of (2.), for a diameter value 
 to a circumference of 113.098 (or a circumference value to 
 the king's chamber height number of 1.9085 x 6)* Complete 
 the large square; and now, Adam, or 144, being the nu- 
 cleus, the garden has enlarged to four squares of 36 x 3^ 
 each, or 1296 in area each, the numerical value of the 
 square yard British ; or, again, each one is now Jared, or 
 IT, or Yard, the source of descent (§33, (6.) note). The
 
 § 87. Appendix I. 195 
 
 aiTgregate of the four squares is 1296 X 4 = 5184 ; or the 
 Garden of Eden is now become a unit measure of time^ 
 based on the value of the solar day, raised from \}a^ factor 
 6, through the terms of land measure — viz., the inch, 
 ihe/bot, and the yard; and, as to this last, it has been seen 
 that it indicates the other limit of the British measures — 
 viz., that of the acrr, and that of the mile value. (§ § 58,59.) 
 This being the framework, and these being the different 
 kinds and qualities of measures involved, proof can now 
 be made that all that has been said has been well taken as 
 the Biblical intent. Our cross line has now become 36 and 
 36, together equal to a length of 72 ; but ^6 comes under 
 the form 113.098+ circumference : 36 diameter, which 
 form was derived from another, as follows : 
 
 (3.) 113.098+ : 36 :: 355-OOOI '■ "S- 
 There is now to be exhibited the collateral use of the last 
 part of this form — viz., of 355.0001 : 113. 
 
 The Production of the Woma?i from the Man, 
 
 § 87. Eve was the wife of Adam, and she was taken 
 out of his side. And H^Ada^n, DlNTT, the man, said : 
 "She shall be called wojuan, because she was taken out 
 of man (or aish, or CJ<) ;" where, for the matt out of whom 
 woman was taken, the word now becomes changed from 
 Adam to Aish, from DIN to C^'N. And this is the basic 
 determinative of the process of construction of the woman ; 
 for aish, or J^^N, is, adding the letters 311, or reading them 
 as the word runs, and the numerical value is 113 ; which, 
 underthis word fl;/^/^, gives for use the form of 113 : 355.0001, 
 connected, as seen, with the other form of 113.098 : 1,6; 
 which last form, in the value 36, eventuated above, from 
 the placing of Adam in the garden. So, from Adam, man, 
 144, comes aish, man, 113. 
 
 (a.) It is observed that this 113 is a straight line, or di- 
 ameter value, and, as the cross line, which is 36 and 2^, 
 indicates 113.098 for each ;^6, we can take the 113.098 for, 
 or as, the equivalent expression of 36 ; and then the varia- 
 tion of 113 for 113.098; both belonging to the same form.
 
 196 
 
 Appendix I. 
 
 §87. 
 
 Then we have for 36 and 2^, 113 and 113. Now, this is 
 an abstract, or mere length relation. Convert it into an 
 area value, either by raising a square on the line 113, or 
 else by taking the square root of this value. Take the 
 latter plan, and so — 
 
 (!•) 7113^10630+, 
 as the value of the side of the man, or of the square, thus 
 reduced, far enough for the purposes intended. Divide this 
 resulting square into four others, thus producing the crossed 
 condition of the interior, making the figure similar to the 
 Adam form above ; then, each side of this square, of the 
 value of 10630, will be divided into two values, each of 
 which will be — 
 
 (2.) 10630-^2 = 5315; 
 and this is the sought for result that shows that this was 
 the process of obtainment. For, place the Hebrew letters 
 lo this result, as — 
 
 (3.) n V N n 
 5315 
 
 and this word thus framed, in Hebrew, is by translation — 
 (4.) The zvoman. 
 (d.) In form, the geometrical figure now conforms with 
 the others made of the garden, thus — 
 
 J o c a o 
 
 SOI^ 
 
 S 13 S 
 
 
 
 the interior cross lines, showing the division made, the 
 horizontal cross line cutting this reduced form of man, or 
 113, in his side. The side thus shown is the middle of his 
 height. Now, after having the grand determinative of the 
 basic value 113 given, as that the ivoman was to be taken
 
 §87. 
 
 Appendix I. 
 
 197 
 
 out of ais/i, vian, or 113, this determinative is accompanied 
 by a natural one, running with the narrative. 113 : 355 
 is a circular form denoting diameter to circumference. The 
 reduced form of ^nan shows that the woman value is but 
 a reduction from this original form, and, as shown, it is the 
 Aa/y cross line of the square, indicating a radius, or half 
 diameter value. Under the form, this would correlatively 
 indicate a se7ni-circumfcrencc. Now, the narrative reads 
 that the woman was taken not only out of the side of the 
 man, as shown, but also that she was thus taken as a rib. 
 And this is the determinative, for the rib of a man extend- 
 ing from the backbone around to mid-front, is a senii- 
 circumfercnce. 
 
 The Woman Form of the Garden, the Source of the 
 '■'Holy of Holies," and of the Four Typical Rivers. 
 
 {ci) (i.) Draw a square, crossed interiorly, to exhibit 
 to the eye what has been done, and on the cross lines, 
 place the numerical values of the results (i. e., the woman 
 or 5315)' thus— 
 
 / 
 
 s\ ms 
 
 53\. \S 
 
 9 
 
 i 
 
 The woman, or the definite article the, or ,1> and woynan, 
 or Ash-h, or HCK, is produced from man, 113. Separate 
 the definite article, or H, or 5, from the remaining figures 
 of the word, into the central square shown, now triangu- 
 lated with respect to the large one. There results two 
 cross lines of 5 -|- 5 each (or, if the central figure be made 
 to assume the form of a square, on these lines, there re- 
 sults a square of 5 -|- 5 =^ 10 to the side), as to its dimen-
 
 198 Appendix I. § 87. 
 
 sions. But the number 10 is the perfect one, and a 'Je- 
 hovah value (§ 82), and by Hebrew Kabbalah, the letter 
 n, or number 5, is the womb. " The Rabbins have a say- 
 ing that God made all things out of the letter ,1." (Sod. 
 Genesis, p. 196.) " Jl and ^ wedded (that is, il,wo/nd, and 
 », mcmbrimi virile'), begot the 1, or letter z'^z/, which stands 
 as the center pillar of the visible." (Dr. Goldammer, as 
 from Sohar [The World].) Thus, also, the number 10, or 
 letter *, as of 10 cubits, is the value of the holy of holies 
 in the temple, as to its most sacred precincts, between the 
 cherubims. Here this holy of holies, this 10 combining in 
 its pictured form both phallus and yoni, is the perfect one 
 cube com.posed of eight othersof the valueof 5, or T\, each, 
 the total forming the male-female in one, 10, as here the 
 ■womb of the Garden of Eden, or Paradise. Plainly, the 
 woman part of woman is the womb ; all the rest is con- 
 nected with its egress-way to the light: therefore, \\-\Q.four 
 ways marked from the center, are the four great rivers^ 
 as denoted in the narrative. In the narrative, these rivers 
 are designated as flowing from the garden, and are taken 
 as having their rise in its midst. 
 
 (2.) But, as one kind of symbolization but leads to an- 
 other, and as the mathematical and geometrical system is 
 the essential one, these arrangements, while perfectly con- 
 forming to one or more other kinds of conditions, should 
 become subservient to the more essential uses ; and such is 
 the case. Having dropped the prefixed letters, or num- 
 bers, in the center, where they especially belong, make use 
 of those left, in the order found, by placing them in a cir- 
 cle, thus : 
 
 And here, by reading the values, one finds the form 
 
 113 : 355
 
 § 37. Appendix I. 199 
 
 ready made to his hand. Compress the values to read two 
 and two, from right to left, and the form of 
 
 5 5 3 
 
 311 
 results ; where, in addition to the above, we have the great 
 differential value 31, connecting the extremes 144 and 5184 
 of the British measures, as /ow^.and time measures, with 
 the forms 113 : 355, and 5153 X 4 = 20612 : 6561 (§ 35 
 (3.) (4.), actually accompanying the forms it thus gives rise 
 to ; for, while the form is 113 to 355, after reading the dif- 
 ferential 31, there follows the reading 5153, the Parker 
 area of the circle inscribed in the square of 6561, and the 
 base of the form 20612 : 6561. Thus this form of the 
 crossed garden raises those forms of original measure, 
 which are emblematically displayed by a mayi fastened or 
 nailed to a cross. § 21. 
 
 Other Dcteryninatives. 
 
 (d.) Besides the determinatives given, there are others, 
 
 here and there in the narrative, pointing and determining 
 
 the process of elaboration of the numerical and geometrical 
 
 forms, as being correctly taken. Some can be given. 
 
 (i.) When Adam is placed in the garden, preparatory to 
 
 the woman being taken from his side, it is said : "And the 
 
 Lord God caused a deep sleep to fall upon //'Adaju, and 
 
 he slepty The verbal and he slept is the determinative of 
 
 the process. The word is |tr*^"), vyishan, and, supplying 
 
 the values, they run 61 135. Supply a cipher for the 10 
 
 in ♦, and we have 601 135, which, bent into the circular 
 
 form, runs, or reads, 106135, where 106 is the running 
 
 determinative of the J of 113, the first three figures of 
 
 which are 106, and the remaining figures, or 135, are the 
 
 result to be derived, or woman, or nt^J<=i35. (2.) At 
 
 the close of the process there is the following statement : 
 
 "And he brought her unto the Adam.'" This is a double 
 
 determinative, connecting the woman, who has been taken 
 
 from aish, man, with the other form of man — viz., Adam. 
 
 The Hebrew words are Dli^H/J^n, Ha El Ha Adam, and
 
 200 Appendix I. § 88. 
 
 the running values are 5135 — 144, or the -woman with 
 Adain,\\'\G. otherformof ?;^««. (3.) Besides other things, there 
 is reference to a small square in the center, on the crossed 
 lines, giving rise to further reference values. The smallest 
 squared division of the square of 144 is the small square of 
 3X3=9- Four of these on the crossed lines in the center 
 of the Adam square give a unit square of 6 X 6== 2)^, as a 
 total. There are then 4 squares of the square of 3, where 
 the factors 3 and 4 are designated, or, together, the equiv- 
 alent of the golden candlestick arrangement of 3 + 4 = 7. 
 But each small square is of 3 X 3 == 9. Then the numbers 
 7 and 9 are used, or can be used, in relation to this smaller 
 square. It is observable that this small square is the one, 
 then, at the center of the Adam square, or at the cleft or 
 division lines of the garden. The Hebrew values for 7 
 and 9 are characteristic of the letters ^ and V- Put them 
 together, and there results Vj7, or ots, or the word for tlie 
 tree in the garden. But, as by the division, it is two trees 
 twisted or bound in one, then 7 x 9 = 63, which, read in 
 the reverse, is 36, or the value in area of this small square, 
 or the unit factors 6 X 6 = 36 ; and this, reading in the re- 
 verse, is rulable by Kabbala. 
 
 (e.) In the forms (i.) 113 : 355 and (2.) 36 : 113.098, 
 while the first, or (i.), is used as the abstract form, there is 
 an indication that, under the form of aish^ C**N = 113, the 
 circumference value of 113.098 is implied ; also, the 113 in 
 (i.), as seen, is a diameter value. The indication of the 
 second use is thought to be in the word anashiin, D^uOi^, 
 men, plural of ^*'K, man ; for, bend this into a circle, and 
 we find a reading of the continuous numbers 31415, or of 
 circumference to a diameter of one. 
 
 The Garden of Eden as the Seventh Day. 
 
 § 88. It will be shown how 355, as the circle of 113, was 
 used for the purpose of correlating natural periods of time 
 with this abstract circular value. It has been seen how 
 this form, with that of Mr. Parker, is connected with square
 
 § 88. Appendix I. 201 
 
 measure in the use of the factor 6. It has just been shown 
 how the Garden of Eden assumes the function of assimilat- 
 ing both methods. Now, with the 6 days closed the square 
 measure form, and with the 7th, came its application to the 
 circular relation. This 7th day was the day set apart as 
 the woman or circular day. Just as it has been seen that 
 the holy of holies and the sacred 10 are designated sex- 
 ually as connected with the substance of the garden, as 
 being the womb, or productive element, so the 7th day, in 
 its turn, is but a correlated form of this same garden, in the 
 form of a circular day. The sameness is observable in 
 one respect, for it is seen that the numerical value of the 
 largest extension of the garden is the value of four square 
 yards, or 1296 >< 4 = 5184, or the characteristic value of 
 one solar day. Then the 7th day /s the Garden of Eden, 
 and is allied in holiness with the holy of holies and the 
 perfect value 10. Of this day it is said that Elohim (31415) 
 blessed and sanetified it. Just as the word zacr, or sacr, 
 the special word for incinbrum virile, is translated by the 
 generalized term male, just so the word sanctijicd is, by 
 translation, wrested from its proper specialized meaning, 
 as having relation to this day. The sacr was that with 
 which the Lord should be memorialized. The custom was 
 to make memorial before the Lord with the sacr. The 
 word being retained, but losing its primitive use and force, 
 became the Latin sacr^/actuvi, then saerifacio, then the 
 English sacrifice; and is at the foundation of the word 
 sacrament. The signification is obvious : Just as the sacr 
 denoted the means of germination of a nezu existence, so 
 its use, as related to man's connection with another realm of 
 life, shadowed forth, in whatever other use was being made, 
 as of bread and wine, that in these means resided the germ 
 of that existence, and that, like the sacr, these (bread and 
 wine) were the vehicles of its planting. The word sanc- 
 tified is kodcsk, t^np, and this was a word for prostitution, 
 for holy purposes, at the temples — esteemed to be a pure and 
 sacred use. Kodesh, uHp, to he fresh, nezu, -pure, shin- 
 ing, is the same with kodesh, or chodesh, i^^pf ^'^ he fresh,
 
 202 Appendix I. § 88. 
 
 ^ure, new, young; which last word, as substantive, has 
 the meaning of the time of the new moon, which period of 
 lime in nature regulated or marked the recurrence of the 
 menstrual flow, as 7 X 4= 28 days. The character of the 
 meaning exactly fits to the meaning of the word as applied 
 to the 7th day. Here it has reference to the quality of the 
 7th day. The word blessed is the verbal b'arak, or *]*1D, 
 and giving its values is 222. While this is the same value 
 with ^"1^, cherub, which is taken to signify the cubit half 
 base side of the pyramid structure [§ 84 (3.)], and which 
 measure is specified in the narrative description of this gar- 
 den, it is thought here to have reference to a like relation 
 to the number 7, as this 7th day, for 2.22-[- is the diameter 
 to the number 7 taken as a circumference. Now, it has 
 been seen that the idea of the garden was that it should be 
 a source of birth of time, and oi distance measures, under 
 a womb use. It was a part of the cosmogony, that all 
 things arose from a common unit source, to which, by links, 
 they could be made to refer co-ordinately. Having thus 
 symbolized the use, how was it to be made good? Here, 
 again, comes corroboration of the system ; for it was only 
 through the woman that the proper relation could be ar- 
 rived at and shown. As the factor 6 lay at the foundation 
 of other kinds of measure, so did the number 7 for this 
 especial use: for 7X4=^28 days, a menstrual period; 
 28 X 10 = 280 days, a period of gestation, and 28 X 13 = 
 364 days, a luni-solar, or week, year, as 52x7^364' 
 And this was the numerical factor, which, as applying to 
 human birth, would practically co-ordinate human birth 
 with the other system of measures set forth in this garden. 
 Such being the use of the 7th day — viz., harmonizing it 
 to show forth this especial use — there is very much to con- 
 firm what has been said regarding this use. In the second 
 volume of Sharpe's history of Egypt, page 202, he says : 
 
 " The Eleusinian mysteries, withhi the temple of Ceres (bread) 
 and Proserpine (gate of Scorpio, autumn, and wine), in the south- 
 east quarter of Alexandria, which had been brought into the city 
 in the reign of Philadelphus, had now lost their sacredness, and
 
 § 88. Appendix I. 203 
 
 very much of their secrecy. The priestesses had, for four cen- 
 turies, walked in procession through the streets, carrying a sacred 
 basket; and, latterly, it had become known that this basket held 
 a live serpent^ supposed to be the author of sin and death." 
 
 He quotes from Eusehius fracp. Evang.^ Lib. III. 12. 
 He also copies from a coin in the Pembroke collection, 
 which represents a basket with raised lid and a serpent is- 
 suing forth. The basket is surrounded b}' a wreath of 
 Jlowcrs and frtiit, but the flowers are of a kind that bloom 
 but once a month, and the fruit is the basket or scrotum 
 representation. 
 
 " The mystic basket" of the mysteries contained, among other 
 things, " thejigure of a serpentP (De Sacy, 318, 319.) "Also, 
 in the most ancient mysteries of the Greeks, they shouted Eva! 
 and at the same time a serpent was shown. (Orelli, Sanchon, 
 pp. 14, 45.) " The Bacchi celebrate the mysteries crowned with 
 the serpents^ shouting aloud Evaf' " The name Hevia (Evia) 
 roughened, is interpreted ihe female serpent" — that is,, chouva, 
 TDT]^ ^ov T\')'n, Eva. (Clemens Al. Cohort, ad Gentes, it, 12.) 
 (Qiioted from Sod. pp. 105, 106.) " The cry made by the females 
 in their lamentations in these mysteries was Eva!' " (Land- 
 marks Freemasonry, Vol. II., p. 4S0, note.) 
 
 The letter is the symbol, at the same time, of a serpent 
 and a basket. It is 3 X 3 =9, and is at the center of the 
 garden. The name of David was basket., " prop, a thing 
 woven, for figs." A very slight change from this v/ord 
 DUD, or DUDI, is the same in meaning as basket., but in 
 the plural is '•''love-apples,^^ etc. (Song of Solomon, vii. 14.) 
 Thus the scrotum is signified with the male-female combi- 
 nation, which was sin, and by a figure was birth under a 
 form of death; just as it is a fact that the, to some lugu- 
 brious, S3'mbol of scull and crossed bones, as signifying 
 death, to bthers is the most precious emblem of life. See 
 also Dr. Inman's pictured descriptions of the asheras or 
 groves. A vertical narrow door, closed with thongs, sur- 
 mounted by a radiating fan-shaped ornament of 7 rays, sur- 
 rounded by bunches of flowers, the number of the bunches 
 being 6+7 = 13. This is a symbol of the Garden of
 
 204 Appendix I. § 88. 
 
 Eden. The Hindu representation of the garden is still 
 plainer. 
 
 Note. — The mystery of the cross deepens, rather than 
 clears, as uses of it are found here in the substance of this 
 garden, and also primordially. The Hebrews have handed 
 down by targuins, readings which have been obscured by 
 translation. Joshua viii. 29, they read in the Arabic, and 
 in the tar gum of 'Jonathan, " The king of Ai he crucified 
 upon a tree." The Septuaginta rendering is of suspension 
 from a double -wood or cross. (Wordsworth on Joshua.) 
 The word is (l/D, Tdlah, and may derive the cross idea 
 from the fl, or +. The strangest expression of this kind 
 is in Numbers xxv. 4, where, by Onkelos (?), it is read, 
 '■'■Crucify them before the Lord {fchovah) against the stm." 
 The word here is j^p\ to nail to, rendered properly (Fuerst) 
 by the Vulgate, to crucify. The very construction of this 
 sentence is mystic. The symbolization of the connection 
 of 113 : 355, with 20612 : 6^61, hy 3. crucified man, \s vlv.- 
 mistakable, and here it is found as essential in the structure 
 of the Garden of Paradise. The theoretical use of cruci- 
 fixion, then, must have been somehow connected with the 
 personification of this symbol. But how? And as show- 
 ing what? The symbol was of the origin of measures, 
 shadowing forth creative law or design. What, practically, 
 as regards humanity, could actual crucifixion betoken? 
 Yet that it was held as the efligy of some mysterious work- 
 ing of the same system, is shown from the very fact of the 
 use. There seems to be deep below deep as to the myste- 
 rious workings of these number values. Not only are they 
 shown to work in the cosmos, but also they are made use 
 of by Daniel, the -prof hct, as the guide to his prophetic ut- 
 terance. By sympathy, they seem to work out conditions 
 relating to an unseen and spiritual world, and the prophets 
 seem to have held knowledge of the connecting links. 
 Reflection becomes more involved when it is considered 
 that the power of expression of the law, exactly, by num- 
 bers clearly defining a system, was not the accident of the
 
 § 88. Appendix I. 205 
 
 language, but was its very essence, and of its primary or- 
 ganic construction ; therefore, neither the language, nor the 
 mathematical system attaching to it, could be of man's in- 
 vention, unless both wertijvunded upon a -prior language, 
 -which afterward became obsolete. For instance, the word 
 aish, C***^, man, is probably the ^/'/;;/(9r^/rt/ word — the very 
 first word possessed by the Hebrews, whoever they were, 
 to carry the idea, by sound, of a man. The essential of 
 this word was 113 from tlie beginning, and carried with it 
 the elements of the cosmical system displayed. Whence 
 then the language, and its power as the vehicle of a natural 
 cosmical system, tml ess from an unseen spiritual source? 
 And if this is so, all that pertains to the showing forth the 
 conditions of the working of this law, as by these symbols, 
 and their real personification, would seem to have determi- 
 nation in the same spiritual realm.
 
 2o6 Appendix II. § 89. 
 
 APPENDIX II. 
 
 Time Calculations founded on Abram, Mclchizcdck, 
 Hebron, Joshua the Son of Nun, a^id Caleb the Son 
 of 'Jej)hunneh, as Connected with the Narratives rC" 
 latino to these Personages. 
 
 § 89. Thus there has been unveiled, in the opening of 
 Genesis, the Parker and Metius forms, used in and about 
 the construction of the pyramid, with also the blending 
 of circular with square measure, by means of the factor 6. 
 So there has been shown a numerical use involving, ex- 
 actly, the scales of positive land measuring as contained 
 in the British measures, founded on \}[\Q.sqiiare inch; which, 
 in the pyramid, is shown to be the practical unit of meas- 
 ure raised on the source of the cubit value, in the number 
 20612, a circular value, which, cubed and unfolded, pre- 
 sents the symbol of the cross. Undoubtedly the work of 
 construction in the Bible is, in sequence, the process of cal- 
 culation of time and distance running co-ordinately to- 
 gether with geometrical construction, until the perfect pyr- 
 amid is to be found at the period described as that of the 
 food, as will be shown. But, because of inability to trace 
 clearly this building process, with its detailed applications, 
 another method must be resorted to — viz., that of closing 
 back to these conclusions, by setting forth salient positive 
 exhibitions of uses of this system, which can be found in 
 the text. The exact method resting on the Parker and 
 Metius forms are the furtherest off, and the most carefully 
 obscured. On these, however, collaterally, were raised 
 calendar systems, exact enough, and for general use, sub- 
 ject to correction, at long intervals, by means of the deeper 
 and more obscured knowledge of cosmic construction. 
 The showings of both methods run parallel with each 
 other ; and the commoner or calendar methods involve such
 
 § 89- Appendix II. 207 
 
 uses of the other system, tliat their presentation will help 
 to lead one to the recognition of the elaboration of the pro- 
 founder method. One of the phases of calendar calcula- 
 tion is so marked and prominent, so wide in its limits, em- 
 bracing such an extent of the Scripture narratives, that it 
 is well and instructive to give it. 
 
 Mr. John Bentley, in his Hindu Astronomy, sets forth 
 the war in heaven, as given by the Hindus, as but a figure 
 of the calculations of time periods ; and goes on to show, 
 that among the western nations, this same war, with the 
 like results, took the form of the war of the Titans. This 
 was the same (Sir William Drummond) with the war of 
 the kings, in 14th Genesis. All the results are but identi- 
 cal with time calculations of the pyramid, or Parker num- 
 bers. The key of the position is in the names, among 
 which the most prominent are those of Adram and of the 
 royal Melchizedec. The uses of the numbers involved in 
 these names, to produce time periods, bring in the Gnostic 
 value of Christ in the New Testament, and consequently, 
 serve to show the prevalence of this kind of knowledge, 
 down to the times of the Christian era. Mr. C. W. King, 
 in "The Gnostics and their Remains," page 13, says: 
 " The relations of the Sephiroth, or -.^ons (Ages), to one 
 another the Kabbalists represent by a number of circles in- 
 tersecting in a mysterious manner, ad infinitum, or else by 
 the figure of a man, or a tree, formed out of such circles. 
 This figure of the man, Seir Anpin, consists of 243 num- 
 bers, the numerical value of the letters in the x\?imQ. Ahrani 
 signifying the different orders in the celestial hierarchy. 
 The original idea was apparently taken from the Hindu 
 figure of Brahma, and the various castes typified by the 
 several parts of his body ; in fact, the names Abram and 
 Brahma are equivalent in numerical value." From the 
 writings of Godfrey Higgins, quoting from St. Barnabas, 
 it is to be seen that the value of 318 was a great value of 
 Christ, as was also the number 608. This is to be found, 
 also, in " CEdipus Judaicus," by Sir William Drummond ; 
 and also, as to 608, in the work of Professor Gustav Seyf-
 
 2o8 Appendix II. § 89. 
 
 farth on " Chronology ;" and also in the hymn of Mar- 
 tianus Capella. The 318 is the same with the 318 trained 
 or instructed servants of Abraham, in 14 Genesis; or, as 
 by another version, the 318 circutncizcd xn^n of his house- 
 hold. It is to be found in the same place, obscured in the 
 name oi Eliczer of Damascus, or the 318 of the Pit — a foil 
 against the promise of offspring that should be the 318 of 
 the vernal ascendency. The value 318 has reference to 
 the base of astronomical calculation, used, as shown, so 
 much in the pyramid numbers, as a diameter value to a 
 circumference of unity ; 6 times the amount of which, or 
 318-I- X 6, gives the height of the king's chamber, which 
 height involves the square root of the solar year, and the 
 measure of that year upon the celestial measuring circle of 
 360°, as shown. 
 
 (^.) Now the value of the name of Abram, as given in 
 the Hebrew, is 243, and 243 is the one-half of 486, the 
 height of the great pyramid, in its standard measure, as 
 shown in the text. This was a sun measure. But a change 
 was made in the name of Abram to Abraham ; by which, 
 numerically, 5 was added to 243, so — 
 
 Abram = 243 
 
 Abraham = 248 
 
 (<5.) One Gnostic value of Christ being 318, another 
 was 608 ; and this last involves the personage Mclchizedec, 
 to whom St. Paul likens Christ, saying of him that he was 
 a priest forever, without beginning or ending of days, after 
 (or in likeness of) the order {ox number) of Melchizedec — 
 that is, he was an Aeon, or oulaum, or [see § 84 {c.) (i.)] 
 porchway of the temple, or the continually recurring flux 
 and rebirth o{ tifne without end. The Hebrew word for 
 Melchizedec is a compound word, composed of ^D/O, 
 '•^melchi" my king, and pllf, '■'tscdck,'' in the construct, 
 meaning the quality of exact probity, righteousness, or the 
 equivalent exactitude, rightness. (He was as Cain, or 
 Vulcan, Pater Sadie the "Just One, holding the balance 
 of the year, and the distributor of its fruits of bread and 
 wine.) The word comes from a verbal, and has another
 
 § 89- Appendix II. 209 
 
 co-ordinative derivative pHV, tsadik, having the precise 
 same meaning, with one remarkable difference noted in the 
 dictionary as ^^ spec, mtscrtcors" — that is, the specialty of 
 mercy, or pity, or forgiveness. Christ was especially 
 represented as having all the attributes of an exacting 
 God, under the law (so Paul), softened by these very qual- 
 ities. 
 
 (i.) Now, the word Melchize'dek, or p1V"*D7D= 40 -f- 
 30 + 20 + 10 = 100, -f- 90 + 4 + 100 = 294, while the cor- 
 related exception of Melchizadik, or pnV"07D = 40 -[- 30 
 + 20 -f- 10 = 100, + 90 -(- 4 -f 10 -}- 100= 304. As seen 
 here, the word Melchizedek can be changed to Melchiza- 
 dik, by which change mercy, <xx\d pity, TxxiA forgiveness 
 are worked as additional qualities on the first word, by the 
 addition of the value of 10 the perfect one. As a fact, the 
 narrative determines this very change, for Abram is repre- 
 sented as paying tithe, or the tenth, to Melchizedek, or 10 
 to the number 294, thus making it 304. (Now, Abraham is 
 represented as pursuing with his 318, to Dan. But Dan, 
 as will be shown, is astronomically in Scorpio, the zodiac 
 sign, the gateway to the descendant, the place of the cru- 
 cifixion of the year ; the place where D-Lilah received 
 Samson (the sun) into her, so represented, dark and treach- 
 erous embrace ; the place called shiac, ll^t^*, or the pit, a 
 word from that verbal, the hifil participle of which is 
 Bfsiach, TX'^12, as he who causes to go down into the pit, 
 as here, astronomically, for the salvation of the world.) 
 
 (2.) Abratn, then, is 243, the half of the sun measure 
 486 ; and Melchizadik (the tithe, or 10, being paid) is 304, 
 the half of 608, or the other Gnostic value of Christ, or 
 M^siach. Give the other value as of Abraham, or 248, 
 and make use of the values found. 
 
 {a.) Abram = 243 
 
 Abraham = 248 
 
 Make use of these with 304 X 2 = 608, the Christ value. 
 
 {b.) 608 — 243 = 365; 
 
 or the solar year value, 
 
 608 — 248 = 360
 
 2IO Appendix II. § 89. 
 
 — the value of the celestial circle of three hundred and 
 sixty degrees, or that on zvhich the year is measurable. 
 
 (c.) Cassini, in the last century (according to Godfrey 
 Higgins), discovered the great cycle of 600 years as be- 
 longing to the Hebrews, as well as to Hindus and Siamese, 
 and shows that Eusebius' (who, with Constantine, secularly 
 founded the Christian Church) chronology agrees with its 
 use. It is the great divine avatar, or incarnation period. 
 The greatness of its value consists in the fact that it serves 
 to measure the time of conjunction of the sun and moon in 
 the heavens, in the same -place, by recurrence ; whereby, 
 by astrology, a new birth should ensue. Cassini said of 
 this, that it was one of the finest astronomical periods 
 known, and worthy of all praise. It is one that remains 
 perfect from cycle to cycle, by the intercalation of i.-|- days 
 in 600 years. 
 
 (i.) Here, again, the pyramid values come into play, 
 
 for 190. 9853+, the numerical value of the — base side 
 
 of the pyramid, or 10 times the height of the king's cham- 
 ber, or 31.8, the Christ value, X 6, is the diameter to this 
 very value as a circumference. So, also, as a straight line 
 value, it is represented for circumference by 1130.98 -f- 6. 
 (i/.) Now, Godfrey Higgins finds 608, also a cycle in- 
 dex, connected under the system with that of the 600, and 
 attributes the difference to difference of value of precession 
 of the equinoxes discovered. But in this he seems to lack 
 strength of proof. Cassini, as has been said, showed the 
 value of the 600, as co-ordinating lunar with solar cycles. 
 If you wish to measure solar time as of days in the year, 
 for 600 years, on the great circle of 360°, the formula will 
 run — 
 
 (i.) 365 - X 600 = 360 X 608+ ; 
 
 whereby the 608, or Christ, or Melchizadik, value becomes 
 a measure of transfer, or of equivalence of solar time into 
 the division of the zodiac into degrees. Hence, both these 
 personages, under the number form, were means of meas-
 
 § 8g. Appendix II. 211 
 
 lire of transfer of solar time in days into degrees of the 
 time circle. 
 
 (c.) Here, however, it will be said, or objected, that a 
 foreiern value has been introduced to bring about this re- 
 
 suit, viz., - of a day has been added to the 365 obtained 
 
 4 
 by the use of Abram and Melchizadik — that is, that the 
 
 3'ear is now used as corrected in the calendars, viz., by the 
 intercalation of i day in 4 years ; or, by another showing, 
 to 365 X 4= 1460 days, one day has been added, making 
 the period that of the bissextile^ or leap year, or a full 
 period of 1461 days. This is true; and, true to the need, 
 this very correction is provided for, and most prominently 
 marked, in the -place of residence of Abram, which was 
 Hebron, formerly called Kirjath-Arba — which latter 
 name means the city of 4. 
 
 Hor Apollo says : " They (the Egyptians) further rep- 
 resent it (the year), by a quarter of an acre,'" or aroura ; 
 and, " The acre, divided \n\.o four, denotes the bissextile 
 paiiod o( four years" (Volney's Ruins, page 134). It is 
 thought that this is also noticed by Professor Seyfl'arth. So, 
 the city of ^, or Hebron, or Kirjath-Arba, the place of 
 Abram's residence, would serve to denote the measure of 
 the bissextile year, and was thus the proper place of resi- 
 dence of Abram, the sun measure. When the .three men 
 (angels) came to see Abram, he was seated in the opening 
 of his tent, representation of the pyramid, the time being 
 spoken of as midday. Here was the sun directly over the 
 apex of the pyramid, of which the height was indicated by 
 243. The contrast of this kind of measure is in Lot, 
 Abram's brother, being seated in the gates of darkness, or 
 Sodom, or woman's lust, at evening. (There is a very 
 curious affinity between the words for Hebrew, for Hebron, 
 or rather Chebron, and iox Hebron. The word for Hebrew 
 is 'yy^, which, as ober, means to pass over; but, also, a 
 imion, a joining together — and this word equals Hebcr, or 
 Chcber, ")2n, whence Hebron or Chebron, the residence
 
 212 Appendix II. § 89. 
 
 of Abram : but this is in affinity with Hcber^ "IDH, " to 
 divide in pieces; hence, figuratively, to divide off., to de- 
 termine the heavens, after the manner of astrologers." 
 Hence the glyph of Hebron, as a united yet parceled-off 
 heaven, appears in the run of the word.) 
 
 ( /.) But the above statement does not rest for its sup- 
 port upon its intrinsic strength, or upon its curious fittings 
 in the connections made. It is fully confirmed. Of the 
 children of Israel who left Egypt, only two were permitted 
 to enter the promised land. One was Joshua, the son of 
 Nun, or of the_;f5/^, and the other was Caleb, the son of 
 Jc-phiinneh, or the dog the son of the female dog. Both 
 were astronomical types. (Nork, in Worterbuch, says that 
 Joshua ... is the biblical ^sculapius soter, inas- 
 much as ^sculapius had the dog for a companion, even as 
 Joshua had Caleb (the dog) ; also Hermes Kunocephalus, 
 \\iQ. fire dog \x\. the summer solstice, in the month of the 
 lion, when Sirius rises heliacally with the sun, and dogs 
 are offered to ^sculapius ; for Caleb's father is the solstice, 
 or turning-man (11^5% Strophios, Vergilius), and to the dog- 
 headed Anubis the predicate Strophaios [hinge) belonged.) 
 Joshua was a type of the sun, and Caleb was a type of the 
 great cycle of the sun, which cycle, as the Sothic period 
 among the Egyptians, was marked by the rising of Sirius, 
 the dog-sidiV, in Egypt, heliacally with the sun. (Joshua, 
 as fsh, was also a Jehovah numerical form, for Nun, fish, 
 is pj = 565 ; and the Jehovah form is 56.5 X 10= mr7* 
 = 565 = also, 113 X 5.) The Sothic period was that of 
 the vague year of 365 days, corrected to the true solar 
 
 value. Falling back — of a day each year, in 1461 years 
 
 the correction would take place, by dropping a vague year 
 from the count ; it being simply an enlargement of the bis- 
 sextile correction of 1460 and 1461 days in the period of 
 four vague years. So, Caleb was the dog, sure enough ; 
 but he was the dog-star, to determine a point for bis- 
 sextile correction, or for correction of the Sothic period or
 
 § 89. Appendix II. 213 
 
 cycle. When he entered the promised land, where, in it, 
 was his possession assigned to him? Why, of all places, 
 he was assigned just that one that proves all that has been 
 said — viz., Hebron, ox Kirjath-Arba, the city 0/ ^, the resi- 
 dence of Abram the sun measure, significant of the bissex- 
 tile correction in days of 1461 for 1460, and of the Sothic 
 cycle correction of 1461 for 1460 years : "which place," the 
 record goes on to state, " before that time, was Kirjath- 
 Arba, which mafi was great among the Anakims." That is, 
 the c/iy of 4, which {tnan, or 113 circumference to 36, or 4 
 squares of 6 X 6 each, for the city of 4), was great among 
 the cabiri, or stroiig ones (Gibborim), or planets, or cycles, 
 for the correction of their recurring periods. 
 
 A hint is observable in the Biblp as to indications of time 
 cycles. '"'- Enoch ^'' connected with the year circle, '■'■walked 
 with God, and he (was) not: for God took him." Noah 
 was " perfect in his generations ; Noah walked with God." 
 Noah was pre-eminently a period marker. ^^IIeb?'on, 
 therefore, became the inheritance of Caleb, the son of 
 Jephunneh, the Kenezite, unto this day; because that he 
 wholly followed the Lord God of Israel;" and Caleb was 
 the detcrminaior, by correction, of the leap year and the 
 Sothic period. Of Melchizedek (Pater-Sadic), Hebrew 
 learning has handed down that he was without beginning 
 or ending of days. True, but he was a means also of de- 
 termining both by correction, holding the balance of the 
 ecliptic. (As to the value of Melchizedek of 294, this is 
 49 X 6 ; and as to the number 49, or 7-, attention is called 
 to "Proposition 2, Theorem," and to "Proposition 3, 
 Theorem," of a " Quadrature of the Circle," and "The 
 Square Root of Two," by W. A. Myers, of Louisville, 
 Ky. (Wilstach, Baldwin & Co., Cincinnati.) It may be 
 that Mr. Myers has reproduced an ancient method for the 
 calculations of circular elements as sines, cosines, etc. 
 His Proposition 3 is as follows : 
 
 " ( I .) If a circle be described with the square root of two for a ra- 
 dius, and the onc-fftictJi of the square described on the radius be 
 deducted therefrom, the square root of the remaining ybr/j'-w/w*; 
 fftictJis can be extracted exactly. (2.) The square root of the
 
 214 Appendix II. § 90. 
 
 — so deducted will be the sine of the given arc. (3.) The square 
 
 root of the remaining:-'^ will be the cosine of the eiven arc." 
 
 In many respects, his work is well worth attention.) 
 § 90. Commentators are struck with the marked simi 
 larity of the histories of the lives of Abram and Isaac. 
 They seem to be phases of some one underlying subject- 
 matter. Suppose this to be so, and that this subject-matter 
 is astronomical, or numerically connected with astronomy; 
 then it is observable that the age of Abram, or 175 years, 
 added to the age of Isaac, or 180 years, amounts to just 
 355, the Hebrew word for year, or shanak, or H^JT ; and 
 also the circumference of a diameter of 113, together the 
 Garden of Eden measures. So Abram and Isaac, together, 
 are but one circumference, and that a year circle, for as- 
 tronomical determinations. 
 
 Take, therefore, the calendar keys here presented in the 
 showing of the bissextile and Solhic cycle correction. As 
 a whole there is 355 the combined value of Abram and 
 Isaac, the abstract circumference value of which 113 is the 
 diameter. 113 is ma7i, and from him in the Garden is 
 worked out the connected Parker form of 6561 : 20612, 
 with other uses. While 113 is 7nan, however, 355 is the 
 Hebrew word shanak, or year ; and here, in Abram-Isaac, 
 the man, 355, as tho. year, eventuates. But with Abram as 
 part of this year value, the natural year of 365 days is 
 worked out, and also its measure circle, 360 degrees. But 
 360 was also with the ancients a year day value. So there 
 is elaborated in this use three year day values — 
 
 (I.) 355 360 365; 
 where, by the order, and very relation shown, the reason 
 of the form, as applied to time measure, is shown ; for it is 
 a comparison of an abstract circtimference value, 355, with 
 the natural year value, 365, and is also connected with it 
 by use of another jy^ar value, 360, which is also a celestial 
 and geographical measure. The beauty of the form con- 
 sists in this, that 360 is the mean between the abstract and 
 natural year circle value.
 
 § 90- Appendix II. 215 
 
 It is seen that while ordinary calendar systems can be 
 formed on this form, so, also, it links, in 355 > with the 
 forms for exact cosmical determinations. 
 
 Now, with the ancients the picture of a year was of a 
 serpent swallowing the end of his tail (or one or more units 
 of its length). Take the woman form of time production. 
 It is— 
 
 (2.) 7 X 4 = 28, and 28 X 13 = 364, 
 and this is the luni-solar year day value. This is seen 
 to be one day less than 365, the vague year day value. A 
 serpent of 365, then, swallowing i unit of its length would 
 symbolize the expression 365-1, or, in Hebrew, C^I^K, or 
 Enosh son of Scth, the son of man (Daniel), or the com- 
 bination of the two kinds. By sympathy, 355 would take 
 the same form as 365-1 : so the numerical formulation 
 for the different year values, combined into a system, 
 connecting itself with land measures, and pyramid, and 
 Garden of Eden, and temfle, and tabernacle, construc- 
 tion, would be — 
 
 (3-) 355 ^ 360 r 365 
 I ( I ) I 
 
 354 ) 359 ( 364 
 In truth and in fact, while 355, or shanah, is the Hebrew 
 word value for year, the true Hebrew and ancient year 
 value of this kind was — 
 
 (4-) 355 — I == 354 days. 
 And here its origin is laid bare. So, also, the working of 
 the woman sexual form of the garden is seen to harmonize 
 with every other, or connect with every other. In truth, in 
 calendar calculations, the woman sexual use, under the 
 number 7, seems to have been a fundamental one. It is 
 true, too, that while the Garden of Eden involves 355 
 through 113, so it has also reference to this very value 
 354 as a circumference instead of 355, or as well as 355. 
 Take the form 113 : 355, multiply by 5, and there results 
 565 and 1775. But take 355 — i = 354 and-multiply by 5, 
 and there results 177-0. Now, by adding the yv^// values 
 of the letters in the words Garden Oden, or pI^-3-3, and
 
 2i6 Appendix II. § 90. 
 
 there results 3 + 50 = 53, + 70 + 4 H- 50 = 177 ; which is 
 significant of this change, for 177 ~^ 5 = 35 •4- Strange it 
 is that bend this into the form of a circle, and 354 may be 
 read 345, which is the name Moses, 111^0, or 345. But 
 this name seems rather to have reference to the radius 
 value of circular elements (3.)» § 82, having reference to 
 the interior works, of calculation of astronomical admeas- 
 urements, in the great pyramid. 
 
 Uses of and developments of this form (3.) will be 
 shown hereafter, with confirmations as to its ancient recos- 
 nitions.
 
 § pi. Appendix III. 217 
 
 APPENDIX III. 
 
 The Word, or Logos, connecting with yohn, or Jonah, 
 or Dove, with "J-hovah, and with "Jcs-us, through the 
 Fish. 
 
 § 91. {ai) Attention is desired to the formula of — 
 
 12 4 ^ ^^ 
 
 (I.) 206. — feet, x—= 274.8266, 
 
 o 
 
 as arising from the original Parker formulation of — 
 
 (2.) 20612 X —= 27482.66+, 
 o 
 
 in § 78 (c.) (3.), valuable as giving the standard height 
 
 from the base of the pyramid of 137.4132-}- feet, -f- the 
 
 standard height of the king's chamber region of 68.7068 
 
 12 
 feet, equal to 206. — feet; or 80 cubits + 40 cubits =120 
 
 cubits : and also developing the same measure in § 78 
 
 (6.) (2.), in 274.826 — 2o6.i2 = 68.7o6-f-feet, or the king's 
 
 chamber region. 
 
 The use is the origin of measure 20612, where it is 
 
 12 
 worked into 2, foot and cubit y\\wQ of, respectively, 206 
 
 feet and 120 cubits, to obtain a form of measure for regu- 
 lating the interior works of the great pyramid, having 
 reference to the comparison of lunar with solar time, and 
 the correlation of distance measure — all cosmical, or of 
 divine adjustment. It is seen that the form retains, numeri- 
 cally, the origin of measure, in the abstract number 20612, 
 
 then uses it as 20612 inches (seen in § 78), then as 206 — 
 feet, which is 120 cubits. In 120 cubits there is the num- 
 ber 12, or 6 -{-6, the means of application of the Parker 
 forms to earth measures; which, as composed of 6, is in- 
 dicative of the change worked on the standard measures to 
 obtain actual, or real pyramid measures : for 6 is circum-
 
 2i8 Appendix III. § 91. 
 
 ference to the well-known, number i. 90985 -f. This con- 
 
 12 
 dition, then, of the number form, as of 206 -feet, or 120 
 
 cubits, is a great controlling one, as at the base of cosmic 
 
 and earth measures, in construction. In this form of 
 
 ^ 12 . . .12 
 
 206. — it carries the decimal — as implied ; that is, to 
 
 100 ^ 
 
 express the value 120 cubits, one would say, "It is 206 
 
 feet," meaning, or intending to mean, the exact value of 
 
 12 
 
 206 feet and of a foot. This numeral 206, thus used, 
 
 100 ' 
 
 gives the interpretation of the great word L,ogos, or The 
 Word, used so mysteriously in the Scripture. This is from 
 and but another form of the Hebrew word 'y^'^, ddbvar, or 
 word. Kabbalistically it was, that by the Word, or dabvar^ 
 God created all things. The value of ddbvar lays in the 
 numerals, or values of its letters, which, added, are 
 
 206, 
 having reference to the perfect circumference 20612, under 
 the form of that part of the expression — viz., 206, used as 
 a whole number, in feet, for the expression of 120 cubits. 
 
 The New Testament being, after all, but an unfolding 
 of the mysteries of the Old, under another dress, is 
 the best illustrator we have of the mysteries outside 
 of the ancient books ; the Hebrew Kabbala being of 
 less use, because of the care used to conceal its teachings. 
 Therefore, the New Testament can be resorted to, to ex- 
 emplify and teach the hidden wisdom of the Old. What 
 is stated as to this value (which also implies the Jehovah 
 value of a one of the denomination of 20612) is exempli- 
 fied in the opening passage of the Gospel, ^^ according to 
 {or agreeing with) yohn;" premising that the Greeks trans- 
 lated Elohini by Thcos, and 'Jehovah by Ktcrios, as the 
 English do, respectively, by God and Lord. This opening 
 sentence is a type of the opening sentence of the first verse 
 in Genesis. John says : 
 
 "/« the beginning was the Word, and the Word was 
 with God, and the word was God."'' 
 
 It has been seen that the word Elohim stands for the re-
 
 § 91- Appendix III. 219 
 
 lation of 31415, or circumference value to i, or diameter of 
 
 unity. Now, the Word, or Ddbvar, its Hebrew prototype, 
 
 is the expression of a whole number of 120 cubits, under 
 
 12 
 
 the value of 206 feet and of a foot. It thus carries 
 
 100 
 
 with it the numerical value 
 
 20612, 
 or the value of a perfect circumference, raised to just that 
 value, on which such sublime results as have been traced 
 could be produced. 
 
 John, then, was simply setting forth the law of creation, 
 in the terms of 31415, or circumference to a diameter of 
 unity, raised to this very form or value. The Word, then, 
 as 20612, was but a play upon Elohhn, or God, as 31415' 
 
 'John the same with Jonah. 
 
 (d.) The use of the name ^'John," as this opening sen- 
 tence is '■'■ according to John,'' is perfectly appropriate to 
 the expression; for John, in Hebrew, is H^V, or Jonah. 
 The value of the name, adding the letter values, is 
 
 71; 
 or the - of 355, the circumference of 113 (which raised, as 
 
 stated, is a Jehovah value). So that, while the Word im- 
 plies the relation 20612 : 6561, John shadows forth that 
 
 of 113 : 355. 
 
 Th c Word '^ Begin n ing. " 
 
 (c.) The word '■'beginning'''' is also appropriate in the 
 
 connection, and is here as the first word in Genesis. It 
 
 is used for the equivalent Hebrew word V^TS, rash, for 
 
 head, or substance, or beginning. The value of the word, 
 
 in Hebrew, is 213, and is equal to 355 X 6 = 213-0: so 
 
 that John, or 71X5 = 355, and this X 6 = 213-0, or be- 
 
 ginning, or head. 
 
 John and Jonah as Dove. 
 
 (d.) This word John, in Hebrew Jonah, is also the 
 
 Hebrew word for 
 
 Dove,
 
 220 Appendix III. § 91. 
 
 which last word, as used in the description of the flood, 
 symbolized the use of this very circumference value of 355, 
 because, it will be seen, on the reading of the narrative, 
 that the word is used in the connection just 5 times, or in 
 all 71 X 5 = 355- For this reason, with others, it became 
 one of the greatest symbols among all the ancients. 
 
 The Fish, as connected with the Dove, or 'John, or Jonah. 
 
 (^.) By a most curious, but exquisite use, this word 
 Dove, thus indicating a circumference value, was made 
 convertible into a diameter value, through the intermedia- 
 tion of 
 
 The Fish; 
 of which Joshua was the son. The relation of this word 
 jish to the divinities is also not only to be found among the 
 records of the heathen, but at the base of the Christian 
 Books. One derivation of its value is from a mathematical 
 postulate, that any two quantities which, relatively, are 
 equal to a third, are equal to each other. The Hebrew for 
 jish is pj, nun (the ecclesiastical English word nun, a fe- 
 male devotee), and giving the values of the letters as they 
 run, the power of the word is 
 
 56s 
 
 But the word for woman, or Fve, or the feminine part of 
 J-hovah, is HIH, and, giving the values of the letters in 
 the same way, the word and value is 
 
 565 
 
 mrr. 
 
 Thus it is seen that nun, jish, becomes equal to, and thus 
 is the same with Eve, the woman, or hovah, or mil, the 
 feminine part of J-hovah, as a diameter value, because 
 113 X 5 =565 (which, by change of enlargement, as seen, 
 becomes circumference to a diameter of 36). Now, place 
 the numerals over the letters of the word John, or Jonahs 
 or Dove, as 
 
 5561
 
 § 91. Appendix III. 221 
 
 and it is seen tliat all the values of J-hovah, as 565', are 
 used, but the arrangement is changed in the last part of 
 the word as to the order of the number hovak, or 565, leav- 
 ing the ♦, or I, or 10, which is the y, or yah, of y-hovah, 
 standing isolated. If, therefore, the fish swallows the 
 word, and casts it up from its belly, it symbolizes a birth 
 of the subject-matter in the j^5// or nun form, or 
 
 556 becomes 565 ; 
 or the dove as 71 X 5 = 355 5 a circumference value, is, by 
 use of the fish as a womb, or flux, made to assume the 
 value of a diameter to this very circumference, for 
 
 113X5 = 565- 
 To 565 as the re-arrangement of the 556 of the fish form, 
 
 or birth, add the head of the word — viz., the y, or yah^ or 
 male part, which has suffered no change — and now 
 Jonah, or John, or Dove, as 556-1, 
 becomes J-hovah, as 565-1. 
 
 So much for the^/f^/^ or nun use. (When John, or Jonah, 
 or Dove, Baptist, was beheaded, his head, or ^ or jod, was 
 delivered, or added to, the woman, or hovah, whereby, by 
 typical change, she became, gnostically , J-hovah ; but his 
 body, or 556, or his equivalent hovah part, was buried in 
 mother earth, or went into the gate of Scorpio, or the 
 womb, or the fish's mouth, which of itself was hovah sym- 
 bolically carrying the phallus concealed. It was but a play 
 upon these types. Astronomically, also, while J-hovah 
 stood as the emblem of the complete circle of the sun's cir- 
 cuit, or the year, the y, or ♦, represented \\\q. power of the 
 sun above the equinoxes, while the hovah, or female part, 
 represented all below, as the winter, or water, part. So, 
 yacoh, the heel, § 92 {b^, after his before morning struggle 
 with that angel, who was Esau, passing upward, had his 
 name changed as the morning sunbeams fell upon him. 
 He changed his before feminine qualities, and now became 
 yes — 213; i. e., "ijj^^-j^^ = Jes-rael, or yt:5-us head^'^LS 
 the Greeks would have had it. The mark of separation 
 between the two conditions was the brook Penuel or Jab- 
 bok. A very happy illustration of the dove and^fs/^ use to
 
 222 Appendix III. § 91. 
 
 make 'Jcho'vah can be given from ancient sources. "The 
 Syrians, or Phenicians (says Nigidius), assert that a dove 
 sat several days in Jiic^hrates (one of the rivers of the 
 Garden) on tlie egg of a Jish, whence Venus was born." 
 (Note to Volney's Ruins, p. 168.) Here the whole trans- 
 formation is shown by symbol. The result is ivonian as 
 Venus, the primal conceptio7i, or jlin, or Eve, which is 
 113 X 5 =565, concealing, as shown, a man value] the 
 whole being mn*.) 
 
 The Te Deutn and the Birth of the Savior. 
 
 (_/".) The early church recognized just such uses, as can 
 be gathered and shown from Clemens Alexandrinus. Nor, 
 indeed, was there any departure, in so doing, from the most 
 perfect reverential observance. In the Te Dciim, a song 
 of praise to the Deity, in the recognition of His works, it 
 says : " We praise thee, O Elohim! ive acknozuledge thee 
 to be the Jehovah." Then, speaking of the Savior, it is 
 averred that He was, as a man, not only born of a woman, 
 but, further, that that woman was a virgin. How, then, 
 could such a thing be, consistently with the truth and the 
 laws of nature. It has been seen that the woman could be 
 truthfully, and most perfectly mathematically, taken as a 
 rib from the side of a man, without the exercise of any 
 natural procreative function ; and, in fact, from the same 
 source, it was just as easy to produce man, or aish, or Jes, 
 from the woman, by the slightest possible use of change. 
 The woman, as coming from the man, or ^113, was 
 
 5315; 
 but if man is to be restored from the tlements of the wojnan , 
 
 add the values of the letters composing her name, and there 
 
 results n = 5 , + J^ = 300, _f-{<=i,-|-rr = 5, = a total of 
 
 311. Now, C^*N, 7nan, is, adding the values, ^ = 300, 
 
 + *> =^ 10, -f- }<= i, = a total of 311 ; or, reading the values 
 
 as the letters run, the value is 113. The woman then is,
 
 § 91' Appendix III. 223 
 
 in this phase, 311, or man. Place her thus, with man as 
 113, and they stand face to face 
 
 311— 113, 
 just as they are described in Genesis. Thus, however, it 
 is seen how the 7nan, ycs-wa, could be born of a virgin. 
 But so born, he is as aish, also 113, and 113 X 5 ^565, or 
 nun, who was the mother of Joshua the Savior. As to the 
 first expression — viz., "We praise thee, £/o/iim ; we ac- 
 knowledge thee to be the 'Jehovah'''' — it symbolically be- 
 comes, "We praise this principle of i : 31415, of which 
 the working values are 56,5 X '^ = mfl*, or 113 X 5 = 565 ; 
 or, in the other form, as exhibiting a perfect one, straight 
 line, of a denomination of 20612, the perfect circumference. 
 
 The Dove tiscd in Calculations of the Year, 
 (g:) The dove was one of the divinity emblems through- 
 out antiquity, in its character of 71, as the — of 355. The 
 
 calculations of time for the solar year sprung from the 
 taken value of the lunar year, which word in Hebrew was 
 Shanah, or H^ti*, the value of which was 355. It is pre- 
 cisely the same whether a circle of 355 is exhibited divided 
 into subdivisions of 5 each, of which the factor will be 71 ; 
 or whether the original circle be taken as 71, or the dove, 
 which, by subdivision, as 355 will exhibit the same ulti- 
 mate subdivision by 5. In fact, the values 70, 71, 72, and 
 73, were famous values as denoting 70 x 5 = 35o» 7^X5 
 = 355' 72X5 = 360, and 73X5 = 365- The ancient 
 method of symbolically exhibiting the year, was by a ser- 
 pent swallowing one or more units of its length. Take 71 
 as the value of the circle to obtain the lunar year. Let it be 
 subdivided into 71 X 5 =355 parts, or Shanah. Bendtiiis 
 into the form of a circle, represented by the serpent swal- 
 lowing one unit of this amount, and the resulting value is 
 
 354; 
 which was the universally accepted value, anciently, of the 
 
 lunar year. And this was because it correlated the human
 
 224 Appendix III. § 91. 
 
 method of obtaining this vahie, viz., 52 X 7 — 364? which 
 is 365 — I = 364 ; and to compare, or correlate, 355 — i = 
 354. These interpretations are interesting as unravehng 
 the meaning of the source of ancient mythology, and as 
 showing a common possession, and common origin, as 
 stated by Clemens. By tradition, the origin of religion in 
 Greece was held to have been by the introduction from 
 Egypt of two black doves. By the change worked on the 
 dove value by the fish, two doves would become two fishes 
 as 565, and 565, the zodiac sign of the fish month; or like 
 use could be made of the value 71, through circumference 
 values, etc. 
 
 New Testament Use. 
 
 (Ji.) In the Christian form, the man, or aish, or t^•*^{, 
 (this form gives the other of yes, from C*% or in Greek or 
 English Jes-us, signifying the Jirc, or sun, or Deity, or 
 man. This word by the masoretic points, which point al- 
 most undoubtedly to the true former pronunciation, was 
 pronounced t^*J<, or ish, or Jcs, for man; the feminine 
 form was PfCJ^, or Issa, or woman, or Egyptian Isi-s, Isis. 
 A collateral form was ^Ji'% or ycsse, or Isi ; feminine 
 Egyptian, Isi-s. But Isi vvas Jesse, the father of David, 
 who was the father of Jesus, as Isi. So, indeed Isis, 
 Egyptian, was the feminine form of Isi, or yes-, He- 
 brew, as a form of aish, man,) was yes-us. But an- 
 other form for Jesus was by Christian tradition, and 
 Gnostic use, Ichthus, the Jish. Now the river Jordan is 
 derivable from the Hebrew 11*, yared, to descend, jlow 
 down; hence, river, with an appended ^, or n, or nun, or 
 Jlsh; or by name and determinative \it{\.<t\', Jish-river : or 
 it may be taken as lar-Dan, or ^''-lar, and p, Dan, or 
 the river-Dan. Jesus the man descended into and stood 
 in the waters of this river Dan, ov Jish. Now in fact both 
 Dan and Jish symbolized the same thing. The zodiac sign 
 of the tribe of Dan was in Scorpio ; and to the tribe of 
 Dan was geographically assigned the place Dan, embrac- 
 ing the sources or springs of the river Dan, which, as com- 
 ing up out of the nether world, was the manifestadon of the
 
 § gi. Appendix III. 225 
 
 fabled river Styx. So, indeed, as it signified the place of 
 entering another condition of existence by death, it also 
 represented the allied condition of a new birth. So ycs-us, 
 the man, descending into the waters of this river Dan, 
 Scorpio, ov gate of the woman, where, by a new birth, " I 
 await thy salvation, O Jehovah" (Gen. 49, 18), was, as to 
 his body, become ixjish, or nun, whereby the w«;/ becomes 
 ychovah. But in standing in the water the body is the 
 fish, or in the fish's mouth, while the head is the ♦, or num- 
 ber 10, or a circumference to a diameter of 318-}-, which 
 number was a Gnostic value of Christ. But who causes 
 him to go down into the water? John, or Jonah, or Dove. 
 And here the transformation is gone through witli by sym- 
 bol. Then the mati, having become hermaphrodite, half 
 male, half female — i. e., half ♦, and h^Xi Jish, or mm, or 
 hovah, mn — came up out of the water (type of the resur- 
 rection), and immediately the Holy Spirit descended on 
 him in the for7n of a dove; which is simply a final deter- 
 minative indexing the perfecting of the ritual or S3^mboli- 
 zalion. A voice is heard : " This is my beloved son." He 
 was now become the son of both Elohim and Je-hovah ; 
 he was both diameter and circumference. His head was 
 Rash, or 213-0 = 355 X 6 ; and as he " was about 30 years 
 {shanahs, 355) of age" (Matthew, 16), then 71 X 30 = 
 2130: or the dove, 71, coming down on h.\s head, multi- 
 plied by his shanahs, or years, equaled 71 X 30= 2130, 
 or the head, or beginning of creation in the first word of 
 first Genesis. He was called sofi of man, after the words 
 of Daniel the prophet. This word is taken by Daniel from 
 the 26th verse of 4th Genesis: "And to Seth (Hi^*, the 
 year, ' on coins, and in Phenician HJC^, Hu ,' Fuerst, 
 under n^C^*), was born a son, whose name he called Enosh," 
 or Ben Enosh. This Enosh was the " Son of utan^'' and 
 placing the values of the letters as the word runs, one gets 
 the meaning of the solar year, 365, and the luni-solar year 
 indirectly, or by implication ; for the word is C^"lJ3"J<) and 
 
 365-1=364,
 
 226 Appendix III. § 91. 
 
 which last is the woman year of 52 X 7 = 364. And, in- 
 deed, Scth, nC^, implies this form of use for 3-1-4 = 7. 
 
 JVote as to Fishes. 
 
 The symbol of the ^'■Jisk'^ was a favorite one among all 
 the ancients. Mr. Bryant shows its origin, in the mythol- 
 ogies, to have been in the figure of the Deluge ; the type 
 being of a fish with the head of a man. In Phenicia, 
 especially, it was of great import in the idol Dagon. 
 The Christian Kabbala, or Gnosticism, deals very largely 
 in the mention of fishes ; in such sort, that it may be said 
 to be rested upon the symbol, though its use ever}' where is 
 made to appear as incidental and natural. The New Tes- 
 tament narratives have been so highly colored by the kab- 
 balistic import, that, commonly, too sweeping or embracing 
 a quality has been given to the idea of fishermen, as ap- 
 plied to the apostles. The character of Jishertncn, it is 
 true, is attached to Peter and Andrew, to John and James ; 
 but, beyond the little that is said of their catching fish with 
 nets in boats, no great stress is laid on jishing as a trade, 
 or fixed occupation. There was sufficient to introduce the 
 use of the ancient symbol, without departing from what 
 might truthfully have been the case as to fishing in the 
 Jordan. The fishing, as conducted by these men, was 
 in the sea of Galilee, or of Tiberias. This lake, or sea, is 
 but an enlargement of the river Jordan, where it spreads 
 out into wide water, or small lake, or rather pond, of some 
 ten to twelve miles in length by about six miles in breadth. 
 The fishing carried on in it was in ships, or small fishing 
 vessels, with sails, by means of seines or nets. The popu- 
 lation to be supplied was a dense one at that time, and the 
 occupation is represented as pertaining to quite a class, 
 thus exhibiting a settled business. It seems impossible 
 that this could have been the case. The only condition by 
 which fishing of that kind could have existed, and could 
 have been carried on as a trade, in such a piece of water, 
 would have had to depend upon a constant supply of 
 fish to catch, from some large body of water as a breeding-
 
 § gi. Appendix III. 227 
 
 ground, the fishing taking place in what is called the rtiJi 
 of the fish, at stated seasons. Communication with such a 
 body of water — as, for instance, the ocean — would stock such 
 a pond with a few fish at all times, but not in such quantity 
 as to justify an occupation as described, save at certain 
 seasons of the year. This is a simple and truthful state- 
 ment, justified by all the registered experience in such mat- 
 ters. But the conditions of the Jordan river are fearful for 
 sustaining fleets of fishing vessels plying the trade on the 
 waters of the sea, or pond, of Tiberias. It is almost a 
 straight stream, with a very rapid descent from its source 
 to its mouth (it is called The Descender)-, save when it en- 
 larores out in the morass of Merom and into the waters of 
 this inland sea. Its condition parts of the year is that of a 
 brook. It rises in the springs of Mount Hermon, and, 
 after a run down hill of 150 miles, empties into the as- 
 phaltum lake, in which no fish can live or breed. If the 
 country was far enough north, brook trout might abound to 
 some extent in its waters ; but these would have to be pre- 
 served with care, for it would require but little angling to 
 depopulate it of this species. The whole of the fisheries 
 of the Sea of Galilee would, therefore, have to depend 
 upon its own breeding-grounds, of which, it may be said, 
 there can be none, save of the species of what are called 
 mud or cat fish, which were prohibited from use, as having 
 no scales, and a few others, utterly unfit to found a fisher}^ on, 
 as a business of continuous calling. The conclusion seems 
 irresistible, that to have supported a mode of fishing, such 
 as commonly thought and taken to have been the case, 
 would have required a continuous miracle of keeping up 
 the supply. 
 
 iMl this seems to confirm the idea that the relation of 
 fishing was to raise a symbol, comporting with and neces- 
 sary to display ancient uses and meanings.
 
 228 Appendix IV. § 92. 
 
 APPENDIX IV. 
 
 A Method of Construction of the fulian Calendar^ from 
 the Different Tear Values of the Aneients. 
 
 § 92. (ff.) An advanced step can now be taken, even to 
 a way of the construction of the Julian calendar, from means 
 obtained from the Garden of Eden data. By 7V"<3r>^, the 
 Garden of Eden was one of the birth of time and of man. 
 Nork was right, and his conjecture is supported by the hid- 
 den reading in the description of this garden. It is shown 
 elsewhere that one numerical form for this garden was for 
 the production of the -woman from man^ or 5315 from 113. 
 The woman having been thus formed, from her, again, as 
 a source of generation, the production of man commenced. 
 But it has been seen that 113 is diameter to a circumfer- 
 ence of 355 ; and that 355 is converted into 73i year measure 
 under its value in the Hebrew word skanah, year, while, 
 also, 1130-I- is a circumference to a diameter of 360, which 
 was the standard year. So, while one phase of the garden 
 glyph is given up to the production of humanity, under an- 
 other phase, by another numerical system, there is shown 
 a springing of time measures. The two phases touch each 
 other in a numerical link. The full form, as already 
 given, is 
 
 355 ^ 360 r 365 
 
 I > I J I 
 
 354 ^ 359 ^ 364 ; 
 
 where, from 355, 365, the first being the Hebrew shanah, 
 
 or year word of 355, and the second the solar vague year, 
 
 by a reduction of one, there is obtained the ancient lunar 
 
 year of 354, and the luni-solar year of 364. It is seen 
 
 that, through the value 355, the man value, and through it 
 
 the woman value, is linked on to a system of time measures. 
 
 Now, the Garden of Eden, under another phase, is but the
 
 § 92- Appendix IV. 229 
 
 use of the number 7, as the 7th day, and is, in the disphiy 
 of this use, pictured variously by the different ancient na- 
 tions. That of the Hindus is the most clearly marked, as 
 descriptive of the Hebrew intention. The picture is that 
 of tlie woman hermaphrodite, Indrance-Indra, the nature 
 goddess, or tlie Issa of the Hebrews, which, in all proba- 
 bility, was the Isis of the Egyptians, seated on the ground, 
 the top of a tree, which springs from h-er back and shoul- 
 ders, spreading over her head, tlius indicating her as the 
 connectinjT link between the measures of the heavens and 
 of the earth ; the top of the tree indicating the celestial 
 circle of 360°. She is but a play upon the values 113 : 355. 
 But passing from these values to the display of others : In 
 one form of this woman, the heel of the left foot is bent for- 
 ward, so as to be presented to, or before, the mouth of the 
 pudenda, which is closed by bands, distinctly marked as 7 
 in number. Of course, this location is significant of birth, 
 and here the basic numerical value is 7, thus attaching this 
 as the holy number of generation. How is this number, 
 then, connected with any feminine trait, having relation to 
 the generation of man and of ti7ne? Very simply. 7 is 
 the number of natural days in the week, and a day is a 
 natural measure of time. 7 X 4 = 28 days, the time period 
 in days for the occurrence of the menstrual flow, which is 
 indicative of periods of conception. 28 X 10= 280 days, 
 is the period indicative, in medical jurisprudence, of the 
 birth of man, whose value is 113 diameter to a circumfer- 
 ence of 355, as shown. 28 X 13, or 52X7,= 364 days, 
 which is the period indicative in nature of the birth of the 
 3"ear. The number 7, then, as at the base of these, is the 
 holy birth number factor. The method of deriving the year 
 values has been shown as 
 
 355 — I = 354 360 365 — I = 364, 
 
 and here through the use of 7, the mark on the pudenda 
 of the woman (who is elsewhere shown to be derived from 
 the ■jnat! as 113 or 311 ; and, in fact, who becomes by add- 
 ing up the values attached to her name 311, or the value 
 of the man again in this number, so that the two stand face
 
 230 Appendix IV. § 92. 
 
 to face, the countermart (ITJIJID) ot" each other as 311 — 113, 
 yet so that read either way, and the one is the other, the 
 hermaphrodite idea again cropping out), is seen to spring 
 the time' value 364, which thus is shown to be a connecting 
 link, worked up to, through the methods of use. In other 
 words, there is shown to be a correlation between the birth 
 of man and the birth of time. Such being the case, the 
 circle of the pudenda, once being selected as correlating 
 time with human birth, can be taken as symbolizing any 
 stage or condition of such birth : either it may be 28, as a 
 mark of conception, or 280, a mark of human birth ; or taking 
 the result for the process, it may be taken as 113, man, this 
 as a diameter value implying its circumference of 355, 
 and also the scale of time measures 355, 360, and 365, 
 proceeding from it; or, again, as 364, a year time value; 
 and so on, agreeably to any connecting value. Anciently, 
 this same idea was displayed, by implication, in the Egypt- 
 ian astronomical charts of the 28 lunar mansions, as the 
 birtli circle of time. This subdivided for the 28, into 13 
 each, would indicate the 364; and this last would be rep- 
 resented by a seJrpent of 365, bent into a circle and swal- 
 lowing one unit ojf its length. In Hebrew, both serpent 
 and brass, for another meaning, had that of the female 
 pudenda ; but the serpent had the hieroglyph of the 
 letter 13, or 9, which is also the base of 6561, the Parker 
 form. 
 
 (The mouth of the pudenda, as signifying tjie place of 
 birth, or source of all things, is also significant of another 
 striking feature, in this, that, as virgin, no conception, and 
 therefore no birth, can take place without, first, the shedding 
 of blood. This perhaps may have been the source of doc- 
 trinal teaching, as aflx)rding a type of the spiritual birth, in 
 the plirase that " ruithoitt the shedding of blood there can 
 be no remission o_f sins,'" — i. e., no birth unto righteousness. 
 The very word siti, in the Garden of Eden scene, conveys 
 the idea of sexual intercourse, and this idea is held to mod- 
 ernly, in the phrase "INIarie conyue sans peche." Of this
 
 § 92. Appendix IV. 231 
 
 intendment, circumcision, or the bloody circle, was but a 
 
 Advancing from the source to the development of divis- 
 ions of the year, if the forms 
 
 365 ^ r 355 
 
 ^ 360 j 
 
 364 ^ ^ 354 
 
 are taken as measures of year time, where the year value 
 
 of 365 is based on another of 360 days, of 12 months, of 
 30 days each, with the intercalary number of 5 days, with 
 the other forms arising from the number 7, as indicating 
 the woman use, from these there can be derived, it is 
 thought, a scheme for the construction of the Julian cal- 
 endar. 
 
 (i.) One style of year is that of 364 days, based upon 
 the menstrual month of 28 days, as follows : 
 
 28 X 13 =^364 days. 
 
 (2.) Another style is that of 360 days, based upon the 
 month of 3a days, as follows : 
 
 30 X 12= 360 days. 
 
 (3.) (2.) was taken as the standard, to which, at the 
 close of the year, 5 days were to be added, to make up the 
 full solar year of 
 
 365 days. 
 
 (4.) Therefore, take the standard at 12 months of 360 
 days, of which one month had to be the characteristic of 
 the style under (i.), or of 28 days. Then there will be 11 
 (eleven) other months of 30 days each, or 330 days, with 
 a needed surplus of 2 days, to make the full year of 360 
 days, and a requirement of 5 more days to make up the 
 solar vague year of 365 days. It will be seen that the sur- 
 plus days thus needed, are in number 7. 
 
 (5 .) Now, to make combination of all these subdivisions, 
 so as to make a one year circle of 365 days, divided into 
 12 divisions, or months, and yet so as to indicate the pro- 
 cess, proceed to the distribution of these 7 days, as far as 
 possible, among the months, isolating the one month of 28 
 days, then there will result :
 
 232 Appendix IV. § 92. 
 
 (6.) I month of 28 clays, 28 days. 
 7 months of 31 days, 217 " 
 4 months of 30 days, left as a resi- 
 due over, of the standard year, 120 " 
 
 Making a total of the Julian calendar year, 365 " 
 agreeably to its known divisions; which, in fact, was the 
 work of an Egyptian, and which, ancientl}-, belonged both 
 to the Egyptians and Hebrews. " Macrobius says that 
 Ceesar was indebted to Egypt for his correction of the cal- 
 endar : ' Nam Julius Cgesar . . . siderum motus . . . 
 ab vEgyptiis disciplinis hausit.'" (Rawlinson's Herodo- 
 tus, note 6 to Book H, chap. 51.) See also Sharpe's 
 Egypt* Vol. H, p. 52. 
 
 The Possible ^^HccP^ Meaning of the 217 Days. 
 
 (5.) The word heel, of which, or as to which, the real 
 substance is placed as noted in the Hindu picture of the 
 Garden of Eden, is also of very great moment in the Hebrew 
 glyphs. It is the name Jacob (Dpl^"% or yah-is heel), who 
 notoriously, in his children, was the founder of the year of 
 12 and 13 months. (See Nork, Worterbuch, under 
 "Jacob.") It is used significantly, among others, as to 
 these very relations, in the garden description, in the phrase 
 " Thou shall cover to it a head, and it shall cover to thee a 
 heel." It is seen that the heel is placed before, as touching 
 the mouth of the pudenda. In the above scheme for the 
 formation of the calendar, the mouth of the pudenda is 
 taken as the woman month of 28 days. Then there is 
 taken seven months of 30 days each, plus the distribution 
 among them of a week of seven da3's, in all 217 days. In 
 Hebrew, the word heel is DpJ/, okbv, the character values 
 running with the word being 712, or, in the reverse, 217 ; so 
 that this heel standing before the woman month of 28, as a 
 foundation, may be added to it, as, in fact, an additional 
 value of 217 (or 712) of the pudenda, the two amounting 
 to 28 -f 2171= 245 days. For another style of calculation 
 to make up the standard year of 360, there will be lacking
 
 § 92. Appendix IV. 233 
 
 115 days ; the 360 being, perhaps, indicated by the spread- 
 ing tree top over the woman-man's head, indicating rash^ 
 or 213, or, as the number 113, the diameter 36 or 360. 
 Then 28 -j- 217 + 115 = 360, and adding the epagomenai 
 5, the year value becomes 365. Thus this hccl^ or 217, 
 seems, by change, to become the pudenda itself, with 28 
 (and, as has been noted. Dr. Donaldson ascribes this mean- 
 ing to the word). 
 
 This leads to hazarding a suggestion as to possible deter- 
 minative sentences in Genesis as to this purpose. It is 
 stated in \h^ fourth chapter : "And she conceived and bare 
 Cain, and said, I have measured (otherwise, gotten) a 
 man (113), even Jehovah." It is extraordinary that, in the 
 Hebrew, the word Jehovah is here in affosition with the 
 word man, there being no such reading, by possibility, as 
 '■''from the Lord.'"' Man, as 113-0, is circumference to a 
 diameter of 360 ; and fehovah, for one of its symboliza- 
 tions, is the year. Now, the pudenda, or woman, having 
 become 28 + 217 = 245, it requires just 115 days to make 
 up the full complement of the perfect standard year of 360. 
 Now, she says as to Cain, that having borne him, she has 
 measured a man, or a circumference to a diameter of 360, 
 even the perfect year, or Jehovah ; possibly meaning that 
 she had produced the full complement to make up that 
 amount, or, in other words, that in bearing Cain, the full 
 standard year was completed : for the value of the word 
 Cain, [♦p, is, as the letters run, 115, or just the number 
 required to make this complementary number good. This 
 view is strengthened by that which follows consecutively 
 on this — viz., the birth of Seth (or jlSi^, the year), and the 
 birth to him o{ Enosh. It is stated : "And to Seth, to him 
 also, there was born a son ; and he called his name Enosh: 
 then began men to call themselves fehovah'' The two 
 passages are, beyond doubt, connected together for an oc- 
 cult purpose, by, in one, the term '■'■ measuring a man even 
 fehovah;'' and, in the other, tlie term '■'■men calling them- 
 selves fehovah:" for these are the only such uses of tlie 
 word "Jehovah" in all the Bible. Seth being, as the word
 
 234 Appendix IV. § 92. 
 
 can be taken, the year (Fuerst under il^^), the name of his 
 son Enosh, or CIJ'N, gives the other and two final values 
 of the year, in the expression of the values of the letters, 
 as they run — viz : 
 
 365 — 1 
 
 C^IJ - N* ; 
 where there is the full vague year, with the unit one, by 
 which can be taken the form 365 — i = 364. In this 
 special connection, the word Jehovah must be taken as the 
 glyph of the perfect year circle of 360. 
 
 The above Use somewhat strengthened by the Zodiacal 
 
 Sign of the Fishes. 
 
 (c.) Man and woman, in the garden scene, being but a 
 play upon the value 113, on which 355 is raised, the other 
 scheme connected with the -pudenda of the woman is but a 
 play upon the use of this number as a foundation, the ram- 
 ifications of which have been somewhat set forth. The 
 above method of construction of the Julian calendar is in a 
 measure clinched as rightly taken, when the character sign, 
 or symbol of the month of 28 days, or the menstrual 
 month, is considered. On the astronomical charts, the sym- 
 bol of the month of 28 days is the Jish. In the glyph of 
 "Jonah and the jish, the Hebrew name for Jonah is also that 
 of the dove. This is but a play upon the ark of Noah and 
 the dove. Jonah goes into the fish's belly, and, correla- 
 tively, the dove goes into the ark. In the description of 
 the flood picture, the word dove is used just five times. The 
 value of the word dove, or Jonah, is 71, and 5 times this 
 value is 355, or the circumference value under considera- 
 tion. Now, five times the value of the man, or aish, is 
 113 X 5 =565. The word-for_/f5/z, or nun, is 565, also, or 
 in fact, the multiple of 113, this very diameter value. In 
 this symbol of the month of 28 days, the reference is very 
 salient, as the astronomical sign of this month in the ancient 
 zodiac was that of two fishes, or 565 X 2 = 1130 ; and, as 
 has been shown, 1130 + is circumference to a value of 360, 
 the value taken as standard for the year. Then, indeed,
 
 § 92- Appendix IV. 235 
 
 the sign of the menstrual month of 28 days is 360; but 
 this month is based on the pudenda as 7, and as a time 
 measure this is also the heel, or 217. 28 + 217 = 245, and 
 360 — 245 = 115, or Cain, of whom the woman says he is 
 the measure of Jehovah (or even Jehovah himself), which 
 can stand for the year circle. Then 360 being the stand- 
 ard, and 28 and 217 being already had, to make the full 
 vague year requires 120 days, or just 4 months of 30 days 
 each, so that 28 -f- 217 (= 31 X 7) -f- 120 (= 30 X 4) = 365, 
 the Julian year in its known divisions. 
 
 The xuord Paradise, as having a Bearing on this Subject. 
 Another confirmation of the time birth use of the Garden 
 of Eden is to be found from kabbalistic sources, in the 
 meaning of the term Paradise. This word, so far as com- 
 mented on, has no meaning, and is supposed to be derived 
 from a foreign source. By Fuerst, it is a word used for 
 metaphysical purposes, or for mystic uses. It is a word for 
 which the reputed authority of the Savior is given as being 
 correctly used for the heavenly Garden. It is the word 
 used for the Garden of Eden by the Seventy. The mean- 
 ing of the term is a very simple one. It is a Hebrew com- 
 pound of the verbal Par ad, 115, to divide, and the ap- 
 pended letter samech, D, signifying the circle bounded by 
 one side of a square. The letter 5a;;zfc/z stands for 60, and 
 the face of a square being 60, the full cube (to represent the 
 full sphere) having 6 faces, would represent 60 X 6 = 360; 
 so that the term Pardess, or Paradise, would signify the 
 division of the circle of 360. In fact, Kabbalism takes the 
 samech as the divided circle, which the Hebrews repre- 
 sented in -plane forms, as of the square for circle, and as 
 of the cube for sphere. Taking the Garden of Eden, under 
 this Paradise use of 360, then it becomes the year value 
 of 360 days of 12 months, of 30 days each, as a standard 
 on which to construct the changes mentioned through the 
 man-woman. So, also, 60 designates the height of the 
 
 king's chamber in the pyramid, as also — its base side.
 
 236 Appendix IV. § 92. 
 
 The Heel Vahie, aff caring as Connected with the Meas- 
 ures of the ^lecn^s Chamber. 
 
 {d.) Heel is, as said, 712, the reverse use of 217 having 
 been used above. Making use of the value as 712, it 
 adapts itself directly with the pyramid measures in the 
 queen's chamber, for 
 
 56.5 : 177.5 : : 72 : 226.1946 :: 226.63 : 712; 
 or 712 is thus exhibited as a circumference to a diameter of 
 226.63, which is the length of one of the sides of the 
 queen's chamber in this pyramid. It is a very curious 
 circumstance that the length of the opposite side of this 
 room is given at 227.-I-J and, in fact, the Hebrew word for 
 mcnihrum virile is ^3t, or, reading its values in the reverse, 
 227. It is very curious also that 217 {heel) X 3 =651, or, 
 numerically, recurrence of the Phoenix time period, marked 
 by the crossing of the disc of the sun by the planet Mer- 
 cury ; as also, by Parker, the complete travel of the mag- 
 netic pole about the earth. 
 
 {ei) How strange it is that, whether the keys of these 
 matters, as connected with the Garden, are taken from the 
 narrative, or from numbers, or from the elemental geomet- 
 rical elements, the phallic use is always to be found as the 
 underlying one. The Parker forms rest on the relation 
 (transcendental) of the equilateral triangle, and of the 
 circle, as being at the opposite extremes of nature ; and so, 
 because the former is measurable, the latter through it 
 can be made measurable. The measure itself becomes 
 manifest in terms of the square. Now, by Kabbala, of the 
 interlaced triangles, the one with the point down is female. 
 So is the circle. The pointed obeliscal shaft was squared, 
 and was universally looked on as phallic. The uses then 
 carry these emblems as the enunciations of the uses of 
 these geometrical forms. It is the phallus which is the 
 vehicle of enunciation ; and truly enough, as the sacr, or 
 carrier of the germ, its use passed down through ages to 
 the sacr-factuni of the Roman priest, and the sacr-fice and 
 sacr-7uent of the English-speaking race. It is perfectly
 
 § 92. Appendix IV. 237 
 
 true that, anciently, even with the Hebrews, the highest 
 religious or spiritual types were (to us grossly) sexual. 
 The Christian type of a spiritual birth was, by the rite of 
 baptism, a wonderful refinement, while the symbol of the 
 same means of birth. But more anciently, the same type 
 was, by circumcision, a right performed on the sacr. It, 
 too, symbolized a birth, or rather marriage, indicative of 
 birth. The great symbol was in the shedding of the blood 
 of separation, and yet of union, typifying generation by 
 marriage. 
 
 As this is descriptive of a simple fact of ritualism, its 
 force, as casting light on what has been said as to marriage 
 conversation, is manifest. A wonderful illustration of the 
 underlying meanings of the rite, as sexual, can be offered. 
 When the sons of Jacob offer conditions to the Scheche- 
 mites, they say (Gen. xxxiv. 14) : " Der eine vorhaut hat, 
 denn eine schmach wiire das fiir uns," which is a better, 
 because more literal, translation than the English. But 
 the word schmach, in the English, "for that {were) a re- 
 ■proach to us," is not a literal, nor is it a good translation. 
 The Hebrew word is HS'irT, charaphah, which is translated 
 schmach and reproach. The primary and real meamng 
 of the word is " (i.) prop, jissiire, split, therefore ragina, 
 female pudenda.''^ (Fuerst.) The proper translation is : 
 For he — " who has a prepuce, — that (or the prepuce, >?in) 
 
 is a mark of a vagina to us ("l^/rTfi^lfT'^)." In other words, 
 and in short : He who has the prepuce, is a woman to us. 
 This idea is continued to modern times, for Lane (at the 
 time of his translating the Thousand and One Nights) no- 
 tices, in a note, as to the preparations for the performance 
 of the rite of circumcision of j^outh, that, up to the time of 
 the ceremony, they are paraded around, dressed in girls' 
 clothes, or, to use his expression, m feminine attire. The 
 type of the spiritual rebirth, by circumcision, was the 
 shedding of blood in the consummation of the marriage 
 rite. This view is fully enforced. Under |nn, chathan, 
 Fuerst says : 
 
 " Properly, one allied, married ; hence (i.) at a marriage feast,
 
 238 Appendix IV. § 92. 
 
 a bridejo^room, who rejoices in conducting home the bride, Is. 
 
 62, 5, and, like the latter, exults in that day (see H/D), jfef- 7' 
 34; 16, 9; 25, 10; who wears a chaplet, So7ig- of Sol. 3, 11, 
 and encircles his head like a priest, Is. 61, 10 ; who, with joyful 
 spirit, and full of life's enjoyment, goes forth from the bride- 
 chamber (Hijn^irT) with the feeling of vigor, yo. 2, 16; Ps. 
 1.9, 6 ; after he has become, in the wedding night, by the offering 
 of the maiden's blood, a D\t3T jiini chathan damim — i. e., one 
 allied by the maiden's blood {Ex. 4, 25, 26), an idea which was 
 subsequently transferred to circumcision. (2.) A bridegroojn 
 of circumcision — i. e., who is allied to God by the dedication of 
 the blood of circumcision, called from the consummation of 
 marriage.^''
 
 § 93- Appendix V. 239 
 
 APPENDIX V. 
 
 The Flood and the Ark of Noah, with their strange 
 Kabbalistic Biblical Relations. 
 
 § 93. It must be borne in mind that the substance of the 
 Old Testament lays in the books of the Lazu. All the re- 
 mainder is but expansion, explanation, targums, enforce- 
 ments, etc. The Law is divided into the framing of the 
 ritual, and the enunciation of moral precepts, as the cor- 
 related enforcements of the law in the workings of the souls 
 of men. There is far more space taken up in the estab- 
 lishment of the ritual than in the inculcation of the moral 
 precepts. The ritual properly rests upon the construction 
 of the great pyramid, with its contained measures. The 
 building of the pyramid in the books of the Law occupies 
 all the first chapters of Genesis, to the construction of the 
 ark of Noah. The determinatives marking the completion 
 of the pyramid structure are very marked, and are con- 
 tained in very brief compass. The Parker and Metius 
 measures, in the queen's chamber especially, and elsewhere 
 in the pyramid, unfold the Jehovah, or, more properly, the 
 Mosaic or Pharoah measures of 113 to 355. It would 
 seem, then, that the queen's chamber answers to a special 
 part of the Biblical Garden of Eden. 
 
 The Biblical Containment of the Pyramid Structure. 
 
 (a.) It has been shown how the numerical formulations, 
 on which the pyramid is to be constructed, are to be found 
 in the hieroglyphic construction of the Garden of Eden. 
 Leaving out that which intervenes as having no recog- 
 nizable key of solution, the determinatives marking the 
 completion of the -pyramid as to its mass, are, as above 
 stated, very marked and strongly outlined.
 
 240 Appendix V. § 93- 
 
 From Adam to the jlood embraced an interval of 1656 
 years (or shanahs, or 355's). It is most likely that these 
 numbers had a use, just as they read in value ; but there was 
 another and kabbalistic use of, on occasion, reading a value 
 backward^ or, for 1656, reading, as the more occult and 
 more exact meaning, 6561, and this is the Parker square, 
 the source of the enlarged measures of the pyramid of 
 Egypt, as has been fully shown. Such a use, were it in- 
 tended, should be accompanied by other dcterminaiive 
 marks of the correctness of its being thus taken. In this 
 instance, these are abundant enough, and salient enough, 
 and far-reaching enough. Some of them may be given. 
 
 The use of the names Shem, Ham^ and yaphet, as De- 
 terminative of Pyramid Measures^ in connection with 
 the 600 Tear Period of iVoah, and the 500 Year Period 
 to Shem, Ham, and faphet. 
 
 {b.) Noah, or the Stop, or £!nd, or Pest, was 600 years 
 of age at the time of the flood (years, shanahs, 355 X 600 = 
 213, Push). 6561 is the source of the enlarged values of 
 the pyramid as seen. Now, 600 is just the circumference 
 to the height of the king's chamber multiplied by 10, 
 
 or 190.985 + , or to the — the base side of the pyramid as 
 
 190.985+ feet; and the variation on this, or 190.237-}-, 
 raised from feet to inches, and multiplied by 4^^ to equal 
 the variation on the entire circumference of the pyramid, 
 equals the true solar year ; while the correlations of this 
 value give the earth's diameter in miles. So also this 600 
 is the period of Divine incarnation, by the conjunction of 
 the sun and moon, as by Cassini : — that measure of which 
 Christ was the foundation, in 318, and the measure of 
 transfer onto the celestial circle of 360°, in the number 608. 
 But this period of 600 years is signalized by another of 
 very great value — viz: "Noah was (500) five hundred 
 years old, and Noah begat Shem, Ham, and fafhet." 
 (Years, shanahs, 355 X 5 =i775-) This is a great deter- 
 minative sentence. The number five (5) is the jl, or the
 
 § 93* Appendix V. 241 
 
 womb, or fructifying number ; for the rabbins have a say- 
 ing that God made all things out of the letter il. Two of 
 these fives in the center of the Garden were equal to the 
 numerical value 10, which is the perfect one, or yah, which 
 is the number of the holy of holies, in its divisions by the 
 cherubims, and which is a circumference to the Christ 
 value of 318. The pyramid thus shadowed forth, in its 
 familiar number measures, is now strongly lined out, be- 
 yond all mistake, by use of the power (or number values) 
 of the expression of the three names of the sentence — viz., 
 '■'•Shem Ham, and yaphcti" The Hebrew expression is — 
 
 (I.) □ t:' 
 
 D rr 
 
 n £) 1 
 
 Give the character values to correspond with this position : 
 
 (2.) 4 3 
 
 4 8 
 
 I 
 48 6 
 
 And let these values be read as they stand, thus : 444 is the 
 numerical value of the side of the base of the pyramid, in 
 cubits {or cherubims ^222 -{- 222 =. /\i\^ ; 381 is, in feet, 
 the half base side of the pyramid ; and 486 is, in feet, the 
 height of the pyramid : — all in the standard measures of the 
 same, as coming from the original Parker elements, which, 
 in the construction of the Garden of Eden, have been seen 
 to be shadowed forth, by the use of the Metius values of 
 ^^3 • 355- And so, the work completed, or the pyrapnid 
 mass outlined, it was the completion of the grand Stop, 
 or Rest, or Noah; a condition which, by Bryant, was the 
 origin of all mythology. 
 
 Method of Calendar Correction contained in the Flood 
 
 Narrative. 
 But while the means were occultly being laid for the 
 exact determination of cosmical phenomena, such as astro- 
 nomical times and earth measures, agreeably to the Parker 
 method, to co-ordinate, it would seem also that the narra-
 
 242 Appendix V. § 93. 
 
 live contains other methods more popular, though less 
 exact. The description of ihe Jlood seems to contain cu- 
 rious methods for the correction of time periods, and the 
 fastening them to the earth. 
 
 Correction of the 600 Tear Period. 
 
 {c.) One of the commonest methods for the computation 
 of time was by. taking the number of degrees of the celes- 
 tial circle, for the number of days in the year — viz., 360 
 degrees were made to stand for 360 days. Correction was 
 made by the addition of 5 days, called cpagomenai 
 {iTzaybfjiZvax ■fjfiipac'). Thus, counting to the end of the ce- 
 lestial circle of 360 degrees, for 360 days, there was made 
 a stop, or rest, or Noah, and five days were allowed to 
 pass by without count. As the day was marked by the 
 rising and setting of the sun, the giver of light, and the 
 circle of the day, the process was symbolized by, as it were, 
 placing five days in a box or ark, thus consigning them to 
 oblivion, by blotting out the light, or letting the day pass 
 without count. It was the necessary step to the rebirth of 
 the year. The process was that of setting a watch by the 
 sun. If the watch has gained, say, five minutes on the 
 sun, correction will be made by stopping the watch for 
 five minutes, and then starting it again. The similitude 
 between the watch and the sun lays in the connection of 
 the passage of the sun through the signs, as it has relation 
 to the seasons; that is, from year to year, the sun's place 
 in the signs should be accompanied by a corresponding 
 condition of the seasons, whatever that might be, as spring, 
 summer, autumn, or winter. If there is a constantly re- 
 curring need of correction, the quantity should be known, 
 so that, being made at the appropriate time, the coalescence 
 between the sun in his signs, and the proper season, should 
 always be maintained. 
 
 It is very evident that, prior to the time of the flood, as 
 narrated, the 365 day value of the year was known ; and 
 it may be taken that the correction, by means of the epa- 
 gomenai, was in use. The relation of the 365 day period
 
 § 93* Appendix V. 243 
 
 to the 364, or luni-solar year, seems to be pointed at in the 
 name Enosh, or 365 — i, as seen, especially as the name 
 niy may be taken as i/ie year. Also, by Philo, Enoch, 
 son of Jared, was the father of the solar year, marked by 
 the 365 years of his life. The period of the flood seems 
 to mark the Stof, or JVoak, for a greater correction. If 
 the correction of 5 days in the year be followed some length 
 of time, it will be found that the seasons will begin to fall 
 
 back — of a day a year, or a whole sign in 120 years. 
 
 Now, the celestial sphere, with the earth, was divided into 
 12 compartments, and these compartments were esteemed 
 as sexcd; the lords, or husbands, being, respectively, the 
 planets presiding over them. This being the settled 
 scheme, want of proper correction would bring it to pass, 
 after a time, that error and confusion would ensue, by the 
 comparttnents coming under the lordship of the wrong 
 planets. Instead of lawful wedlock, there would be illegal 
 intercourse, as between the planets, *^ sons of Elohhn,^'' and 
 these compartments, "daughters of H-Adam," or of the 
 €arth-xx\2iW ; and, in fact, the 4th verse of 6th Genesis will 
 bear this interpretation for the usual one — viz: "In the 
 same days, or periods, there were untimely births in the 
 earth ; and also behind that, when the sons of Elohim came 
 to the daughters of H-Adam, they begat to them the off'- 
 spring of harlotry," etc., astronomically indicating this 
 confusion. Such being taken to be one of the objects of 
 the glyph, the astronomical period taken is that of the 
 Stop, or JVoah, which was 600 years. How many days 
 would have to be put in a box, or ark, as consigned to ob- 
 livion in count, to work the correction of this period ; so that 
 the seasons, now in confusion with respect to the planets, or 
 signs, lording over them, would come back to their proper 
 places in the original scheme, or every woman come back 
 to her proper lord? Or, how long should the watch be 
 stopped before starting again, at the corrected period? 
 The number of years being 600, the period of confusion,
 
 244 Appendix V. § 93* 
 
 or error, at — of one day a year, would for this time 
 
 amount to 
 
 150 
 days, as the amount of the Stop^ or Rcst^ or Noah. Truly 
 
 enough, this was just the length of duration of the flood 
 over the compartments of the earth, wiping off the old 
 marks, and again setting the seasons right with the stations 
 of the sun. The idea conveyed by the termination of the 
 flood was that the scheme for the correction of the 600 year 
 cycle was perfected ; and the whole is contained in the 
 closing verse of the 8th chapter, which is, as it were, a 
 general determinative of the process, use of the same, and 
 the result. The Lord, or Jehovah, says, as it can be read : 
 "Circling, winding, or turning in circles, all the days or 
 periods of time of the earth — viz., seed time and harvest^ 
 and cold and heat., and siunnier and whiter, and day and 
 night, they shall not be separated from the aecomflished 
 condition of correction." They should not cease to be in 
 their proper and appropriate places, with irelalion to the 
 sun. Before this, by error, the seasons, by name, had be- 
 come inappropriate to, or incongruous with their meanings ; 
 but now, harvest, by name, should apply to the actual 
 season of harvest ; summer, to the actual season of summer, 
 and so on, without further change or alteration, for the 
 proper amount of correction and its use was now known. 
 
 The fixing a Limit for the Closing and Opening of the 
 Year at the Winter Solstice Point, by the Figure of the 
 Subsidence of the Flood and the Grounding of the Ark. 
 
 (d.) But while a cycle correction for 600 years was 
 thus made, it seems to have been upon such grounds as to 
 admit of accommodation to a fixed point or location in the 
 circle of the simple year. Bearing in mind the method of 
 correction of the 365 dav year on that of 360 days, by 
 means of the epagomenai, or the putting of 5 days in a 
 box, a scheme can be suggested as of ancient use of deter-
 
 § 93- Appendix V. 245 
 
 mining such a point and location at the winter solstice. In 
 the form 
 
 355 360 365 
 
 360 being the mean between 355, the abstract circumfer- 
 ence value (connecting the year calendar forms with the 
 Garden of Eden and the pyramid forms of 113 : 355 and 
 20612 : 6561) and the solar year value of 365, because of 
 this, seems to have been used as a standard of measure of 
 time. The equivalents of these forms are to be found in 
 the numbers 70, 71, 72, and 73, by considering them as 
 circles, to be subdivided in five units for each unit of their 
 vakies, respectively, as 70 X 5 = 35°' 7^ X 5=355, 
 72 X 5 = 360, and 73 X 5 = 365- 
 
 {d.) (i.) Take now the standard measuring circle of 
 360, and fasten some point on it to correct the year time to 
 some phenomenal point of the solar year proper, say the 
 winter solstice. Then, having counted 360 days to this 
 point, the five epagomenai days are put in a box, or blotted 
 out, with respect to this measure circle; but, on the other 
 circle of 365 days, are continued on to make the full solar 
 year, now made correct with the seasons to a definite end 
 or stop ; from whence, after the lapse of four years, the 
 bissextile correction of one day can be made. This seems 
 to be a scheme of subordinate showing under the large cor- 
 rection of the 600 year cycle in the flood narrative — that is, 
 while, upon some base of calculation, the 150 days of the 
 prevalence of the flood was the correction of the 600 year 
 period, denoted by the beginning of the rain of 40 days + 
 no days of the bearing up of the ark, this very subdivision 
 of time was also to denote a point of the year in which the 
 correction should be marked, as thereafter to be the close 
 of one and the beginning of another year. 
 
 (2.) The detailed relations of the flood are interesting. 
 As usual in Hebrew, there were diff'erent words expressive 
 of the same idea in the English translation. The word 
 ''flood'' is used in various places, but the special word in 
 Genesis is tnabtil, or m'bul. The root word is bul, and this 
 was the name of the month, or sign, of the occurrence of
 
 246 Appendix V. ^93- 
 
 rain, or of the rm'ny j/wni/i ; and, as one of the moon, 
 run from the new moon of November to that of December 
 (Fuerst.) This month is set down as the eighth in the Jew- 
 ish calendar, or it was probably the third month of the an- 
 cient year, extending to the winter solstice, or birthplace 
 of the year; just where, for correction, the stop should be 
 made — viz., at the end of the old year, by the ark being 
 raised up from the earth so that the earth might pass on 
 under it, while it remaining still, or slop, or JVoah, would 
 at last, with the sinking of the waters, drop at that time, and 
 place, on the earth, where the signs were thus made to be- 
 come correct with the seasons. This place was similar with 
 our Easter period, which, regulated by lunar time, oscillates 
 between certain fixed solar limits. The count for correc- 
 tion of the great calendar period of 600 years, run from 
 the entering the ark, or box, and continued 150 days ; but 
 this latter space of time was divided for some reason. 
 There is a count from the 17th day of the second month 
 (sun in Scorpio) of 40 days, which would carry to the 27th 
 day of the third month, or Bui, or the solstice month, as 
 presented on the Egyptian charts. It looks as if the word 
 for -flood had reference to this month word ; and apparently 
 this view is confirmed. 
 
 (3.) Noah entered the ark, or Theba, or box, on the 
 second (2d) month, the 17th day of the month. Referring 
 to Seyffarth's Chronology (p. 211) he says: "November 
 8th, Julian style, i. e., 17th day of 2d month, the deluge 
 commences in the 600th year of Noah." It seems that 
 Epiphanius specifies the date on which Jesus received his 
 baptism at the hands of John, on the 8th November like- 
 wise, so that Jesus went down into the water, or type of the 
 pit, or womb, or of death and birth, on the anniversary of 
 Noah's going down into the hollow of the ark. Seyffarth 
 (same, p. 182) says : 
 
 " The baptism of Christ, and the beginning of his prophetic 
 ministry, are, first of all, determined by the testimony of St. 
 Luke. For, since the fifteenth year of Tiberius, in which the 
 Baptist entered upon his prophetic ministry, is, by our present
 
 § 93- Appendix V. 247 
 
 calculation, brought down two years later (than by Petavius), 
 Christ must have been baptized in the 29th year after the com- 
 mencement of our era, 'at an age of nearly (wot/) thirty,' to enter, 
 forty days latcr^ upon his prophetic office. On the same day, 
 the 23d December, Christ was thirty years of age ; and as Christ 
 was, as he says, ' born under the law,' and consequently obliged 
 to enter the priestly office on the first day of the 31st year, he 
 must have commenced his public ministry on the 22d of Decem- 
 ber, A. D. 29, and received his baptism on the 13th November 
 (that is, 40 days earlier). Epiphanius specijies the ?>th Novem- 
 ber^ simply because^ on account of the shfting of the epagome- 
 nai {the intercalary days) his 8th November corresponds with 
 our i-^th.'' 
 
 This quotation is made to show how the 40 days from the 
 8th November terminated at the limit of the 22d day of 
 December, of our day, the point of the winter solstice, 
 under the explanation of Seyffarth, of the correspondence 
 of the 8th day of November of Epiphanius, and the 13th 
 November of the solar year, by use of the five intercalary 
 days ; which would go to show that, by Epiphanius, the 
 360 year period closed November 8th of the solar year, or 
 the 17th day of the 2d month, then by blotting out or re- 
 serving from count five days, the 17th day would continue 
 over this period, so that it (the 17th day) would correspond 
 with the 13th day of November of the solar year. Just 
 what has been said above as the count on a circle of one 
 kind (360) stopping, the days thus blotted out would still 
 be counted on, on the circle of another kind (365) ; in this 
 case to the commencement of the flood. 
 
 (4.) Now, Noah entering the ark on this I7lh day of the 
 2d month, or the 13th of November, solar year time, it 
 rained 40 days, the ark not as yet being lifted up. At the 
 end of 40 days the ark is lifted up, and at the end of 150 
 days from the beginning of the flood (the full correction of 
 the 600 year period), or no days after the end of the 40, 
 it descends on the peaks of the mountains, which could not 
 have been very high, as the depth of the flood is stated at 
 15 cubits, or 25 -f- feet. This arrangement is simply to de- 
 signate where in the year the landing was to take place,
 
 248 Appendix V. § 93. 
 
 viz., December 22d, the winter solstice, for it is to be con- 
 sidered that it was at that point when it was lifted up, and 
 afterward simply remaining stationary, while the earth 
 passed on under it, the remainder of the time of the 150 
 days — vizo. no days — was perfected, or brought to a close, 
 the waters abated, and the ark made its landing on the 
 22d of December of the solar year, the winter solstice. 
 This then was the great turning point, or arpoipa'to:;, or 
 hinge, fastened by the flood calculation, in a calendar way. 
 (It is to be noted here, what is constantly the case, that the 
 data connected with the working out of some one particular phase 
 seems to be fitted for radiating off to the accomplishment of some 
 other or others. The number no is extraordinary in other rela- 
 tions. Joseph died in Egypt, being "an hundred and ten years 
 (no) old ; and they embalmed him, and he was put in a box, or 
 ark, in Egypt." (Gen. 50, 26.) The narrative of his burial is 
 reserved to 24th Joshua, 32, as it were, to be mentioned in con- 
 nection with the death of Joshua, the son of Nun, of whom it 
 says, in the 29th verse, that he " died, being an hundred and ten 
 (no) years old;" showing a bringing together of this number 
 1 10, thus twice used, and once as connected with an ark or Theba. 
 So, as to this number: 365 — 354^ u ; and 365 X n =4015? 
 and 355 X 1 1 = 3905 ; and 4015 — 3905 = 1 10, this very number. 
 This shows some subtle use, as to which Joshua, as the son of 
 Nun^ or 565 = 113 X 5? niay have been connected. It has been 
 shown that 27 -f- 217 ^= 245 days-f- \\$ (Cain) =360. Taking 
 the same ground form, 27-1-217 = 245 days -|- no days = 355 
 days, or the Dove year, or 71 X 5 ; and this is probably the use 
 of the no) 
 
 Other number Rests, or Stops, in the Flood Narrative. 
 
 (e.) It is a curious matter to mark some of the other 
 uses of the number rests in the description of the flood. 
 
 "The history of the deluge is based upon the solar 
 months of 30 days each" (Seyff'arth, Chronology, p. 170), 
 with which statement the foregoing workings agree. From 
 the isl day of the ist month, therefore, to the 17th day of 
 the second month, was 47 days. The flood prevailed 
 150 days. Then the raven and dove were sent forth, 
 the dove returning. A lapse of 7 days. The dove was
 
 § 93- Appendix V. 249 
 
 sent forth again, and returned with the olive branch — i day. 
 Then a lapse of 7 days. That is, in all, 47 + 150 -[-40 -f- 
 7-(-i-|-7 = 252 days. Then, to make a full solar year of 
 365 days, would require the additional number of 113, or 
 the famous diameter value of 355, or the Hebrew word for 
 year. But to make this year of 355 days would require 
 an additional number of 103, or one-half of 206, one of 
 the lengths of the queen's chamber. 
 
 If, however, instead of following the count thus, in days, 
 as mentioned, the months and days be taken, then — 
 " On the tenth month, were the mountains seen ;" 
 
 10 months, 300 days. 
 
 *'And it came to pass at the end of forty days," 40 " 
 "And he stayed yet other seven days," 7 " 
 
 Dove sent out and returns, i day. 
 
 A lapse of seven other days to the end, 7 days. 
 
 Or a total of 355 " 
 
 which is the lunar year circle itself; precisely a similar oc- 
 currence with that of the sums of the ages of Abram and 
 Isaac, being 355, showing a power of unification of many 
 various matters with one concrete form. 
 
 The JVtimber Values of the Birds. 
 
 (y.) The term Raven is used but once, and taken as 
 cth-h' orebv, ^"l^nTl^^ = 678, or 113 X 6? while the Dove 
 is mentioned five times. Its value is 71, and 7^X5= 355- 
 Six diameters, or the raven, crossing, would divide the cir- 
 cumference of a circle of 355 into 12 parts or compart- 
 ments ; and 355 subdivided for each unit by 6, would equal 
 213-0, or the head in the first verse of Genesis. This di- 
 vided, or subdivided, after the same fashion, by 2, or the 
 355 by 12, would give 213-2, or the word B'rush, C'J^TD, 
 or the first word of Genesis, with its prepositional prefix, 
 signifying the same concreted general form, astronomically, 
 with the one here intended. Moreover, 213 X 2 = 416, or, 
 as shown, the width of the descending passage-way into 
 the pyramid.
 
 250 Appendix V. § 93- 
 
 Mount Ararat, or yared, or Yard, and its Signijications. 
 
 is"-) (^') T'he mountain on which the ark rested was 
 called Ararat, and this has been shown to be Mount 
 Jared, TH*, or the Mount of Descent, a figurative expres- 
 sion for the basic source of calculation ; as it is the square 
 yard, four of which, or the one solar day value, constitute 
 the Adam form of extension of the Garden of Eden, as 
 based on the square of 3 X 3 =9, and 6 X 6 = 36 ; the key 
 enlargement of the Parker and Metius forms, to work a 
 change to the factor 6, to convert circular into astronomical 
 and earth measures, in the squared or plane form. Here 
 it would seem to imply The Mount of Descent, having 
 reference to the like uses of the various kinds of measures 
 found in the pyramid mass ; and it is to be likened to 
 the three mountains in one — viz., of Ibarim, or heaven- 
 dividers, or Hebrews; oi JVebo, or the wisdom behind the 
 arch of the sun, and of Pisgah, or the afex whence one 
 would stand to review, or look down on, a system of di- 
 visions made, which were those, combined in one, on which 
 Moses went up to review the astronomical and geographical 
 work which he had done. 
 
 The Place of Ararat, or Mount yared, in the Adamic 
 
 Chronology. 
 
 (2.) Take the place of Jared as the mount of descent, in 
 its position, for another phase, in the Adamic chronology. 
 As to its order, it will be thus found : 
 I. Adam; 2. Seth ; 3. Enosh ; 4. Cainan ; 5. Mahaleel ; 
 
 6. Jared ; 
 7. Enoch; 8. Methuselah; 9. Lamech ; 10. Noah; 11. 
 
 Shem, Ham, and Japhet ; 
 where Jared stands as the connecting link between two sys- 
 tems of 5. Two 5s = 10, and 10 is circumference to 318-f-, 
 and 3i8x6=i90-[-)and 190-l-is diametertoa circumference 
 of 6, and 6 is the factor connection between circular and plane 
 shapes. Here Jared, or yard, or 6^ X 6^ = 1296, stands 
 as the center or apex of the system. Curiously enough, as
 
 § p3- Appendix V. 251 
 
 the 6 days of the week, and then the 7th day, stand as the 
 base of various calculations as shown ; so here, Jared, the 
 yard, and Enoch, the father of the solar year (as 365), 
 stand, respectively, as the 6th and 7th in the order of this 
 table. Add the ages to Jared, inclusively, and the sum, 
 nf the mount, to give its character, in one phase, is 
 130 -}- 105 + 90-1-70 + 65 + 162 = 622 years. 
 622 \sthe sumqftwo men — viz. ,311 + 311 =622 ; but while 
 311 is man, aish, it is also the woman, as 5 + 300 +1+5 
 = 311 ; and, as another form of aish is 113, we have the 
 622, as exhibiting — 
 
 311— 113. 
 or the ivoman-man, ox man'ivo^nan, or hermaphrodite form 
 of the source of the Garden of Eden, reproduced, which, 
 in its extension under the Adam form, we have seen to be 
 Jared, or yard, squared, and multiplied by 4. Thus the 
 numerical enunciations of the types are seen constantly to 
 head the various phases; from whence, in detail, the va- 
 rious ramifications arise from the concrete form. Reverse 
 the reading of 622, as 226, and this is diameter to the cir- 
 cumference of 712, the heel of Jacob, and found in the 
 queen's chamber measures. The use of 113, as a meas- 
 ure, is reinforced in its use in the post-Adamic chronolog- 
 ical table, where, of Pcleg, it is stated that in his days the 
 earth was divided. The value of Peleg, ;|^t), equals 80 + 
 30 + 3 = 113. 
 
 Astronomical Personijlcation. 
 
 (3.) Thus, Ararat is shown to be Mount Jared, or 
 yard, and also to be the monumental sign of the mark in 
 the year, of its changes from old to new, or of the hinge 
 or cardinal point of the winter solstice, or the 22d Decem- 
 ber. What is the fcrsonijication of this? Is it not Janus 
 Bifrons of the Romans? Who stood with double face, 
 looking upon the past, and, prophetically, upon the coming 
 year? If there is any one thing clearly shown in the 
 books, it is that the Roman Catholic Church holds Janus 
 Bifrons as St. Peter. It was Peter that first hailed Jesus
 
 252 Appendix V. § 93- 
 
 as the Christ. Christ founded the Church on Peter. Peter 
 was but a form of Ararat, or Mount Jared, marking the 
 winter solstice as December 22d. While the triumph- 
 ant Christ, as Mcshiac, sat in Leo, holding under his con- 
 trol the cross (origin of measures), Peter's place was below 
 his, or at his dental, holding also the cross. Reference 
 to this is certain under the tradition of Peter beinsr cruci- 
 fied head down-ward, as the opposite of his Lord. Peter 
 as a stone was the cube of that letter il, or 5, by which the 
 Hebrews say that God created all things. " Thou art the 
 stone," and " on this stone" are the words. The Hebrew 
 word for stone is p}<, abn, and reading the letters as they 
 run, it is 125 ; and 125 is the cube of ^. Five and five are 
 10, or the space between the cherubims, or the cube of 10. 
 See ! to make this cube of 10, or the -perfect one, uniting 
 within itself the perfect male and perfect female, in their 
 conditions as separated from the hermaphrodite form, as 
 shown, requires just 8 cubes of 5 each. But the 10, as the 
 perfect one was Jehovah. Under the Noah form, this is 
 represented by 8 persons, 4 males and 4 females, going 
 into the ark, and Noah's name as nil, or HJ, is the hiero- 
 glyph of this use. Then, Mt. Ararat, or Mt. Jared, or Mt. 
 Janus Bifrons, or Mt. Peter, or Mt. Cubical stone of $, 
 xho. fotmdation stone, and the winter solstice mark as the 
 2 2d December, were all one. The whole was founded on 
 Peter, or 125, and in building, 8 of these cubes became the 
 10, ov perfect one, or Jehovah (and for this use, while (?(5« 
 is 125 as the letters run, by adding them the sum is 8); 
 and 10 is circumference to the diameter 318, which was the 
 Gnostic Christ. How strange it is that it is left to the 
 Epistle of Peter — i Ephes.,chap. 3, verses 20,21 ; 2Ephes., 
 chap. 2, V. 5 ; and chap. 3, v. 6 — to make reference to 
 Noah and the Flood. But as to Jesus, in this connection, 
 his baptism by John, or the dove, in the River-Dan, or Fish- 
 River, was an answering to the entering of Noah, or Peter, 
 into the ark. The 40 days elapsing to his entering upon 
 his ministry, corresponded to the 22d December mark of
 
 § 93- Appendix V. 253 
 
 the lifting up of the ark, and the place of its descent no 
 days thereafter, whereby all things became new. 
 
 Other Types and Teachings. 
 
 (h.) The figures, or displays, however, of one class of 
 problems were co-ordinately made to serve the purpose of 
 explanation, or the teaching in astronomical figures of 
 others. A most striking and far-reaching teaching or 
 feature of the astronomical circle of the signs was in the 
 conditions of the sun, agreeably to his station in the signs 
 of his acquired power, and of his death. The balanced 
 signs were Aries, the lamb, and the balances, =0=, opposite. 
 Out of Aries, the lamb, the sun now having acquired his 
 fructifying power, enters the sign of the Bull, presided over 
 by Venus, the type of love and of germination. The bor- 
 der of the sign of the Lamb, then, was that of Taurus. 
 Opposite to this, the sun, descending from the lower edge 
 of Libra, or the balance, entered into Scorpio, presided 
 over by Mars, with his hasia (as Libra was by Cain, or 
 Pater Zadic, the Just One, who, being, a Mars form, and 
 carrying the hasta, as the sun descends to the lower edge 
 of the balaYice, -pierces it with his spear, just as it is de- 
 scribed as to Abel ; for it is not the word to slay, or kill, but 
 to pierce, that is there used) ; the mark of the use being not 
 only to pierce, but also as impregnating the place Scorpio, 
 or the gate of the woman, or Delilah, with the germ of a 
 new life. The whole type was made to answer to the life 
 of man. The point of greatest anxiety, and of dread of 
 expectancy, was of course that in Scorpio, or of the death 
 of the sun. Personified, the tribe to which this sign was 
 appropriate was Dan; yet it was in Dan that "we await 
 thy salvation, O Lord." (The sign Scorpio, being the gate 
 of the woman, is opposite to the sign Taurus, and they 
 meet at a point in the center of the sphere just where they 
 arc met by the line ef the balance or Pater Zadiei) The 
 place Scorpio was the pit, or the Hebrew word TV^, shiac, 
 the place of death, the door of Hades, or of Sheol. But 
 true to the type, as the sinking sun was held to be a dead
 
 254 Appendix V. § 93- 
 
 sun, on entering the door of the devouring worm, the nighty 
 or Lilah, or woman, prepared to give birth to the new one. 
 So, by parallelism, the soul only passed the door as a 
 preparation for resurrection or new birth. In the heathen 
 representations of this place of condition, under the form 
 of a woman, over the mouth of the womb, was drawn the 
 picture of the scull -with crossed bones. The symbol was 
 that of the door of life, as but a note of change from the 
 condition of death. As death w^as to be considered the 
 greatest evil, the place was hateful, and considered bad, 
 and full oi sin; so that here all that was evil, dreadful, and 
 sinful, was the very accompaniment of all that was to be 
 most hoped for, most delightful, and most enjoyable. This 
 at once makes plain the unaccountably horrid qualities an- 
 ciently attributed to woman, down to as late a period as the 
 early church fathers. 
 
 The author of "The Origin and Destiny of Man," page 
 145, has collected various holy statements as to this: 
 " Corpus mulieris ignis est," says a holy person. O malum 
 et acutissimum telum diaboli, mulier 1 exclaims St. Chry- 
 sostom ; Per mulierem Adam in Paradiso diabolus pros- 
 travit, et de Paradiso exterminavit. St. Augustine says : 
 Mulier docere non potest, nee testis esse, neque fidem 
 dicere, neque judicare, quanto magis non potest imperare? 
 St. John of Damascene says; Mulier jumentum malum, 
 vermis repens, atque in Adamo domicilium habens, men- 
 dacii filia, Paradisi custodia, Adami expellatrix, hostis 
 pernitiosa, pacis inimica. St. Peter Chrysologus, Bishop 
 of Ravenna, says that she is malis causa, peccati auctor, 
 sepulchri titulus, inferni janua, et lament! necessitas tota. 
 St. Anthony : Caput peccati, arma diaboli. Cum mulierem 
 vides, says he, non hominem, non belluam, sed diabolum 
 esse credite. Her voice is serpentis sibulus. St. Cyprian 
 would sooner hear basilicum sibilantem, than a woman 
 singing. St. Bonaventura compares women to the scor- 
 pion, which is always ready to sting man. They are, he 
 says, arma et balista diaboli. Eusebius of Cassarea says 
 that woman is saggita diaboli. Gregory the Great : Mulier
 
 § 93- Appendix V. 255 
 
 recta docere nescit. St. Jerome : Si mulicr suo arbitrio 
 relinquatur, cito ad deteriora delabitur. And again : Op- 
 tima foemina rarior est phoenice. And again : Janua 
 diaboli, via iniquitatis, scorpionis percussio, nocivum genus. 
 The church's opinion of women would be something fearful 
 to contemplate, in connection with the necessity of their 
 being the only mothers, sisters, and refining companions 
 of man, were it not that this opinion was taken from these 
 ancient glyphs and unificating necessities. 
 
 The word tl''^^, s/ii'ac, is in Hebrew the same word as a 
 verbal, signifying lo go down into the^it. As a noun, it also 
 means _^//, -place of thorns ; also, the complaining word. 
 The hijil participle of this word is PT^JTO, or Messiach, or 
 the Greek Mcssias, or Christ, and means ^'- he who causes to 
 go down into the ^it^^ a manifest attributed function of the 
 Savior as held by Christian teaching. A very careful 
 analysis and comparison of the Hebrew and Greek forms 
 leads to some almost astounding developments, as to the 
 twofold conditions of the Messianic character. Nork says 
 most truly of Jesus, that he never was anointed either as 
 high priest or king, where he is showing that the term 
 Christ is not applicable to him as the one anointed, as 
 high priest or king. A setting forth of the Messianic 
 meanings will throw a flood of light on the New Testa- 
 ment narratives. There are two words in the Hebrew from 
 whence the Greek word Messiah can be derived. The 
 first is the verbal HC^D, mashach, or participle passive, 
 mt^D, Mashiiach, made to read equivalently H^J^D, Ma- 
 shiach, or Meshiac, the very word used by the Greeks for 
 Messiah. This verbal means /# besmear, to anoint as with 
 oil in dedicdtion (Fuerst). The second word is n'tT, shiac, 
 same with niC^. As a noun it has the meaning oi fit, 
 grave; hence, to sink as into a -pit or grave. It also has the 
 meaning to speak; hence, as substantive, word, or speech, 
 lamentation , grief, humiliation ; further, to walk among 
 bushes, thorns. The hifl participle of this word is (1*1^0 = 
 Meshiac, or Messias, naturally, and without making any 
 equivalent change whatever. Now, with what has been
 
 256 Appendix V. § 93- 
 
 said as to the woman character, or quality of the sign 
 Scorpio, which is so often confounded by the early church 
 fathers with the woman ; especially as to its being the pit 
 of the grave, while it is the vagina, as indicating resur- 
 rection, and new birth: and, with the remark of uVork, 
 that Jesus never was anointed as high priest or king, take 
 this circumstance of his life into consideration — viz., He, 
 as viortal, was never anointed but once; then by a woman ; 
 and not as high priest, or king; but, as He said, '•''She did 
 it for my burial,'"' — which of the two Hebrew words giv- 
 ing the term Mcshiac is most fitting and appropriate? But 
 the fact is there were two Messiahs: One, as causing him- 
 self to go down into the pit, for the salvation of the world ; 
 this was the sun shorn of his golden rays, and crowned 
 ■with blackened ones (symbolizing this loss), as the thorns : 
 The other was the triumphant Messiah, mounted up to the 
 summit of the arch of heaven, personated as the Lion of 
 the tribe of "Judah. In both instances he had the cross ; 
 once in humiliation (or the son of copulation), and once 
 holding it in his control, as the law of creation, He being 
 Jehovah. As strange as this development is, its strange- 
 ness is enhanced, when it is to be shown that the Greeks 
 had also a double form of derivation to run parallel with 
 that of the Hebrew as given. Fuerst, in noticing the pow- 
 ers of the two Hebrew letters H and 11, likens the first to 
 the smooth, and the second to the rough, aspirate of the 
 Greeks, and sa3's, moreover, that ll can be taken as the 
 Greek ;f. Then for the double form : In the Greek there 
 is the word yj>'uo, whence yocazo:;, to anoint with oil; there- 
 fore equivalent to the Hebrew M^shiac, having the same 
 meaning. Now, considering what Nork says, as to there 
 having been no such anointing, and what is said as to the 
 real anointing for burial by the woman, take the equiva- 
 lent of y, in the rough breathing (in fact, Hadley gives y 
 as the rough aspirate), and we find the word pr^ac^, or ypqat::, 
 a word, speech (taken as from ptoi, and ipco). Passing from 
 this to the other form of the rough aspirate, or y, and con- 
 sidering these as equivalent forms, we do find ypdto, " in
 
 § 93- Appendix V. 257 
 
 the earliest examples of the active, of the gods and their 
 oracles, to give the 7iccdfiil answer^ give a response ;" 
 then Y.nazijpcoz (from xpdio) of'' or belonging to an oracle; 
 then '^()-qaz-qi)tov, the seat of the oracle^ an offering for the 
 oraele, generally a sacr-ficial victim, a sacrifice^ victim. 
 Thus iho. fated sacrifice of the word. Then came the short- 
 ened use of this form in y^prj<TTO(; (from yjiaco), to run -par- 
 allel to y()cazoz. Thus the paralleled double form is com- 
 mon to both languages. While, also, this is appropriate 
 to the structure of the Greek language, Godfrey Higgins, 
 in Anacalypsis, Vol. i, p, 569, gives authorities confirming 
 the fact of the double use of the two terms Christos and 
 Chr'estos. The learning is very singular, as showing the 
 gradual suppression and elimination of the esoterism, by 
 which Scripture teaching has been thrown into confusion, 
 and its real system has been subverted. The Greek of 
 I Pet. II, 2, is: " If so ye have proved that (xprjazb:: 6 
 xufJioi;) Chr'estos is the Lord." To prove that the reading 
 has been that of a: proper name, Bishop Marsh says : 
 " I Pet. II, 3 : ypr^azo^^ others ypcaro::." St. Paul, in 
 Philipp. I, 21, is made to say : " For me to live is Christ, 
 to die is gain." Dr. Jones says of this, that the sense " re- 
 quires yjnazoq, in the sense of yp-qazo^^ to correspond with 
 y.zpooci {gain)." St. Paul seems to mean here, " For me to 
 live is death {yprjozo<:), to die is to live (gain) ;" having ref- 
 erence to the resurrection in Christ, or yptazoz- It involves 
 the idea of 5«<;r-ifice, or new-birth, by death unto righteous- 
 ness, or this very yprjaro::, or M'eshiac, condition. Justin 
 Martyr calls the Christians by name of ypr^aztavot. And 
 so on. To a late day, the terms Chr'estos and Christos 
 for Christ, were used interchangeably. The two condi- 
 tions were necessary to the full proportions of the whole 
 Christian system. Jesus, as the siffering sacrifice, could 
 not be the trium-phant Christ until he had passed through 
 the sacrificial Chrest condition. At Scorpio, he was Chres- 
 tos, in the pit, among the thorns, or blackened rays; but 
 thence, passing around the circle, until the summit was at- 
 tained, at Leo He became the triumphant Christos, as the
 
 258 Appendix V. § 93' 
 
 Lion of the tribe of fudah, who had subdued all things 
 under himself. The cross was common to both conditions — 
 once to denote suffering, and the phallus, and then to de- 
 note the origin of measures, or Creative Law, or Jehovah, 
 
 The Meshiac Condition connected with the Geographical 
 Location of the Head- Waters of the Jordan River. 
 (/.) To the tribe of Dan, geographically, was assigned 
 the place in which were the head-waters of the Jordan, or 
 the River-Dan The word, in Hebrew, bears this mean- 
 ing, and thus it becomes the River of Judgment (for Dafi 
 \s Judge, or judgment), or Dan, or of Sheol, or of Hades, 
 or of Styx, where was located the place of judgment of the 
 departed spirits. Therefore the river Jordan had its head- 
 waters in the springs of Scorpio, or the gates of death, or 
 the vagina of the woman. Baptisms in this river, as can 
 he seen, were therefore bu*^ types of the going down into 
 the pit, and of the resurrection therefrom. The word Jor- 
 dan also may bear the analysis of the word, as 11% tofow 
 down, with an appended | final, which may be taken as 
 a determinative, in the hieroglyph, of the fish; for this let- 
 ter is Nun, or fish, and thus determines the river as the 
 Rish River. 
 
 Now, it can be seen how perfectly the Christian scheme 
 was made to answer to its ancient prototype. When, for 
 the first time, Jesus asks his disciples, "Whom do men say 
 that I the Son of Man am ?" (Son of Man is the Ben Enosh 
 of Daniel, and the Son of Seth (the year) in Genesis,) 
 Simon Peter (Simon Bar Jonah, or the son of the Dove, and 
 also as Peter the stone, Abn, pN, 125, or the cube of 5, 
 or letter H, or womb) answered, and said : " Thou art the 
 Meshiac, the son of the living God." (Matthew 16.) Now, 
 all this depends for its real significance on just that on 
 which no stress would ever be laid without instruction. 
 Tlie verse (13) is : " When Jesus came into the coasts of 
 CcBsarea Philipfi, he asked his disciples, saying, Whom 
 do men say that I the Son of Man am?" The location 
 gave rise to all the rest. Caesarea Philippi was the site
 
 § 93- 
 
 Appendix V. 
 
 259 
 
 of ancient Dan, out of which very spot welled forth the 
 ^reat spring of the Jordan river. He had gone to the 
 localized type of the pit, the gate of death, or of Sheol. 
 Jesus in Dan was in the shiac, or pit. He had caused to 
 go there, therefore He was the H^J^O, the Meshiac. He 
 was enacting His going down into the pit agreeably to the 
 ancient types and symbols. Astronomically, it was the 
 death of the sun, but a death which was the precursor of 
 the JVczu Sun. The death planted life in the womb of 
 darkness, of Lilah, or of Egypt, and " Out of Egypt have 
 I called my son." 
 
 A consideration of the salient dates in the life of Jesus 
 seems to strengthen the astronomical exposition made. 
 From Seyffarth is to be gathered : 
 
 "According to solar months (of 30 days, one of the calen- 
 dars in use among the Hebrews) all remarkable even ts of the Old 
 
 Testament happened on the days of the equinoxes and the sol. 
 
 stice& 4. for_^nstancej_the foundations and the dedications of the 
 temples atjiLaltars^and consecration of the taFernacle). ^n~ 
 tHe^m ecardinar days, t he most rem arkable events oFthe New 
 Testament happen ed ; for instance, the ^""t^ 5^£i£tion^_Uie_birtfi7' 
 the" res urrection oTXrhnst^ andlhe" birth ofTohn the Bap tist." 
 ^'"Anmhus we learn that all remarkable epochs of the New Tes- 
 tainent were i^pically sanctified a long time before by the Old 
 Testament, beginning at the day succeeding the end of the Crea- 
 tion, which was the" a^ayof the vernal equinox." "During tliF 
 crucifixTonTon the I4ttrday orT^Hsan, Dionysius Areopigita saw, 
 in Ethiopia, an eclipse of the sun, and he said, Now, the Lord 
 (Jehovah) is suffering something." "Then Christ arose from 
 
 the dead on the 22d March, 17 N isatz, Sunday^ jhej iay of the 
 vernal equinox (Sey f., quoting Philo de Septen .) — that is. on 
 Easter, or on the da^^when t he sun gives new life to the earth.^ 
 cr^g~:;^^;^7-^f^l^nThrBaptist, ' lie must increase, but I nvust 
 decrease,' serve to prove, as is affirmed by the fathers of the 
 church, that John was born on the longest day of the year, and 
 Christ, who was 6 months younger, on the shortest," — 22d June 
 an d 22d December, the solstices." 
 
 This only goes to show that, as to another phase, John 
 and Jesus were but epitomizers of the history of the same 
 sun, under differences of aspect or condition ; and one con-
 
 26o Appendix V. § 93. 
 
 dition following another, of necessity, the statement, Luke 
 ix., V. 7, was not only not an empty one, but it was true, 
 that which "was said of some, that (in Jesus) John was 
 risen from the dead." (And this consideration serves to 
 explain why it has been that the Life of A^ollomus of 
 Tyana, by Philostratics, has been so persistently kept back 
 from translation and from popular reading. Those who 
 have studied it in the original have been forced to the com- 
 ment that either the " Life of Apollonius" has been taken 
 from the New Testament, or that the New Testament nar- 
 ratives have been taken from the "Life of Apollonius," 
 because of the manifest sameness of the means of con- 
 struction of the narratives. The explanation is simple 
 enough, when it is considered that the names fesus, He- 
 brew J^^ and Apollonius, or Apollo, are alike names of 
 the sun in the heavens ; and necessarily the history of the 
 one, as to his travels through the signs, with the personifi- 
 cations of his sufferings, triumphs, and miracles, could be 
 but the history of the other, where there was a wide-spread, 
 common method of describing those travels by personifica- 
 tion.) It seems also that, for long afterward, all this was 
 known to rest upon an astronomical basis ; for the secular 
 church, so to speak, was founded by Constantine, and the 
 objective condition of the worship established was that part 
 of his decree, in which it was affirmed that the venerable 
 day of the sun should be the day set apart for the worship 
 of Jesus Christ, as Sun-dixy, There is something weird 
 and startling in some other facts about this matter. The 
 prophet Daniel {true prophet, as says Graetz), by use of 
 the pyramid numbers, or astrological numbers, foretold the 
 cutting off of the M'eshiac, as it happened (which would 
 go to show the accuracy of his astronomical knowledge, if 
 there was an eclipse of the sun at that time) ; which fastens 
 the event, say, of the eclipse of the sun at that time. Now, 
 however, the temple was destroyed in the year 71, in the 
 month Virgo, and 71 is the Dove number, as shown, or 
 71 X 5 ^355» and with thefsh, a Jehovah number. Is it 
 possible that the events of humanity do run co-ordinately
 
 § 93- Appendix V. 261 
 
 with these number forms? If so, while Jesus Christ, as an 
 astronomical figure, was true to all that has been advanced, 
 and more, possibly, He may, as a man, have filled up, under 
 the numbers, answers in the sea of life to predestined 
 types. The personality of Jesus does not appear to have 
 been destroyed, because, as a condition. He was answering 
 to astronomical forms and relations. The Arabian says : 
 "Your destiny is written in the stars." So also, in this 
 connection, while from Adam to the flood was 1656 years — 
 a mark in the reverse reading of the Parker astronomical 
 square, or 6561 — the late Dr. Mahan, in "Scripture Nu- 
 merals," shows that, from the establishing of the Levitical 
 Dispensation to the destruction of the Temple, was also 
 1656 years, or, reversing again, a terminal square of 6561 ; 
 thus showing the squaring out, or cornering out, of the 
 entire Dispensation from Adam to the destruction of the 
 temple, in the mystical values of the measuring square. 
 
 Other M'eshiac Types and Shadows. 
 (/.) (i.) The application of the same type accounts for 
 the means of conversion of St. Paul. He was Saul of 
 Tarsus before that event ; that is, he was Shcol, Hebrew 
 for Saul, and Tarsus was a city founded by the lonims, or 
 the people of the Dove. He was on his way to Damas- 
 cus, the pot of blood; and when struck with blindness, or 
 darkness, a type of being in the pit, he was in Dan, through 
 the territory of which he had to pass on his way. In the 
 old pictures of the scene, he is represented as being thrown 
 from a horse, falling backward, because of the vexing by 
 a serpent of the horse's heels ; and the Bible says of Dan, 
 " an adder in the path, that biteth the horse heels, so that 
 his rider shall fall backward." The horse was, by reason 
 of his four legs, symbol of a square, or of the four cardi- 
 nal points, the one bitten being of Scorpio, or Dan, so the 
 serpent biting the heel carries back to the Garden glyph. 
 Saul was undergoing the Meshiac, or Chrcst, condition ; 
 having passed out of which, straightway he preached Me- 
 shiac, or Christ, to which he had arrived by his initiation ;
 
 262 Appendix V. § 93. 
 
 and afterward his name is changed to Paul, the Little (so 
 said), or smaller type of Christy having dropped the Sheol 
 characteristic. 
 
 It must be borne in mind that our present Christianity is 
 Pauline, not Jesus. Jesus, in his life, was a Jew, con- 
 forming to the law; even more, He says: "The scribes 
 •and Pharisees sit in Moses' seat ; whatsoever -therefore they 
 command you to do, that observe and do." And again : 
 " I did not come to destroy, but to fulfil the law." There- 
 fore, He was under the law to the day of his death, and 
 could not, while in life, abrogate one jot or tittle of it. 
 He was circumcised and commanded circumcision. But 
 Paul said of circumcision that it availed nothing, and he 
 (Paul) abrogated the law. Saul and Pc?z^/— that is, Saul, 
 under the law, and Paul, freed from the oblifrations of the 
 law — were in one man, but parallelisms in the Jlcsh, of 
 Jesus the man under the law as observing it, who thus died 
 in Chr'estos and arose, freed from its obligations, in the 
 spirit world as Christos^ or the triumphant Christ. It was 
 the Christ who was freed, but Christ was in the spirit. Saul 
 in the flesh was the function of, and parallel of, Chrestos. 
 Paul in the flesh was the function of, and parallel of Jesus 
 become Christ in the spirit, as an earthly reality to answer 
 to and act for the afothcosis ; and so, armed with all au- 
 thority in the flesh to abrogate the human law. 
 
 (2.) The same types are to be seen in the histories of 
 Saul and David. Saul was Sheol, the son of Kish (or of 
 113). By name he was Hades, or the pit, as Paul was 
 under his Saul name. He was the type of the going down, 
 and down he went. David, on the other hand, was the 
 ruddy blooming youth, growing in his strength to the be- 
 coming the Lion. The types are Aries, Leo, and Dan. 
 The determinatives of the types are, in part, as follows : 
 Saul was taken to be king while hunting for his father's 
 asses, while David was taken to be king from following his 
 father's flocks of sheep. The sheep mark was the sym- 
 bol of the sun in Aries ; while the ass was the symbol of 
 Typhon, or the devil, lord of the descendant.
 
 § 93- Appendix V. 263 
 
 (3.) The acrostic use is to be found in the mysteries of 
 the Bible. The nth verse of the 96th psalm is an in- 
 stance of this kind : 
 
 " Let the heavens rejoice and the earth be glad." The 
 first letters of the words, put together, form the great word 
 mn% or Jehovah. This play upon words is confirmed as 
 proper by Christian usage, in the acrostic forming the z'c/i- 
 thiis, ox fish ^ as Christ. 
 
 As the words *' Shem, Ham, and Japhet," have been 
 shown to be determinatives of the pyramid structure, so 
 they are t3^pes, setting forth, by way of acrostic, the Jesus 
 and the Christ meanings. Tiie first letters of the names 
 are S, H, and I. 
 
 (i.) These, read in the reverse, are IHS, the mono- 
 gram of Christ, as given by St. Barnabas. The values 
 are, by adding, equal to 318, and this is the numerical 
 value attributed to Christ by St. Barnabas, meaning a di- 
 ameter to a circumference oi one. 
 
 (2.) Placed agreeably to the reading of 318, and the 
 arrangement of the letters becomes changed to SIH, or 
 n^t^, Hebrew shiac, the pit, or source of the Meshiac. 
 
 (3.) Changing the breathing, and the 11 becomes H, or 
 changed into the Latin or Greek e, and there results lES, 
 or Jes-Ms,. 
 
 (4.) If the character values of IHS are taken in the re- 
 verse, they are 381, the half base side of the pyramid. 
 
 Jesus was I-am before Abraham was born. But, further, 
 since the shiac was the fit, and the pit was in the sign 
 Scorpio, and the shiac is convertible into IHS, one great 
 monogram of Christ, the whole becomes explanatory of the 
 great badge of the Roman Catholic Church ; and which, 
 according to Godfrey Higgins (Anacalypsis, Vol. II., 
 p. 202), is placed on the breast of the Pope. The badge is — 
 
 or it is the monogram of the earthly condition of the repre-
 
 264 Appendix V. §93- 
 
 sentative of the spiritual Christ. It is the Jesus condition 
 of Chr'estos, or y^cir^aroc,-, or descender into the pit, under the 
 astronomical sign Libra. The sign Scorpio, which is that 
 of the Shiac, this birthplace, or causer of the Christ con- 
 dition, is directly under and bordering on Libra. Hence 
 the glyph. The Church temporal — i. e., every member 
 thereof — headed by the Pope, must obey this sign before 
 assumption can be made of the blessed Christ condition.
 
 § 94- Appendix VI. 265 
 
 APPENDIX VI. 
 
 Grand Determinative at the Close of the Flood. 
 
 § 94. (a.) The grand work of construction of the 
 means of setting forth the creative law of God, both as to 
 the measures of the heavens and the earth ; of the ways 
 of sh.owing man's spiritual obedience to this miinhcr law 
 of creation ; and of laying, through this law, the founda- 
 tion for the power of prophetic utterance, was finished. 
 Then came a grand explanatory determinative, showing 
 that the scope of the knowledge of this creative law was 
 tmivcrsal. It was not confined to any one part of the earth 
 exclusively., but belonged to all peoples and to all races. 
 This knowledge was a commonality for the guidance of the 
 world. Briefly, the Great Book discloses a secret in the 
 eleventh chapter of Genesis. The first words are : 
 
 "And all the earth was of one lip, and of one form of 
 making an orderly use of the -power letters or numbers of 
 the alphabet ;" where the basic word for an orderly string- 
 ing together of words or syllables into one whole (see 
 Fuerst, under ")D"T), as might be expected, is the Logos 
 word "HDI, or ddbvar, or 206; and where the power of 
 enunciation is termed lip, to denote merely the instru- 
 mentality of the voice, as one mode of expression of the 
 uses of 206, or of the 1D1. 
 
 The inhabiters said, one to another, Let us build us a ^ 
 
 tower. What for? Architecturally to set forth the same 
 problem, just finished. From the narrative one would sup- 
 pose that they did build the tower, but not completel}'- the 
 city. Then it is said : "And the Lord said, The people is 
 one, and they all have one lip. ... Go to, let us go 
 down, and there confound their lip, that they may not un- 
 derstand one another's lip." What is determined? Not
 
 266 Appendix VI. § 94- 
 
 that their knowledge of the dabvar, or 206, or of the 
 creative law^ was to be confounded, but simply that their 
 means of expression by lip, or voice, of this knowledge 
 should be diversified into different forms of oral communi- 
 cation. All had the like knowledge, but by confusion of 
 lip, one part became Phenician, or Chaldee, or Egyptian, 
 or Etruscan, or Pelasgic, and so on. It is most likely that 
 some one portion held to the original form, and the Phe- 
 nician seems to have been that form. But, notwithstand- 
 ing this confusion of oral expression, the lesson is taught 
 that the esoterisms displayed in the Hebrew Bible, were 
 likewise the property of other races ; and this abundantly 
 displayed even in our day. Of course, it is not a matter 
 for discussion here, as to how greatly this esoteric knowl- 
 edge might, or did become confused, or even perhaps, 
 among some peoples, lost. 
 
 An Evidence of Common Possession. 
 
 (b.) An evidence can be furnished of the commonality 
 of this knowledge, in such form, also, as to guide toward 
 unravelingthe Bible glyphs. The thought of the ancient Jew 
 may, perhaps, have been to spurn the devotee of Bacchus 
 as an idolator ; and perhaps, at that time, he was. But 
 see : Bacchus was saved out of the waters of the Nile, in 
 an ark, by lo, or Ino, the daughter of Luna. Such was 
 the tradition. Moses was saved out of the same waters by 
 the daughter of Pharaoh. The mystery begms to clear 
 away, as also the distinction, when the numerical meaning 
 of the name Pharaoh, H^Dfi, is known to be 355, or the 
 value of that circular term of the Hebrews, s/iana/i, njlT 
 (equals 355), f^e name of the lunar year period. The 
 serpent, symbol of ever revolving time, swallowing one 
 unit of its length of 355, becomes 354, the ancient, or He- 
 brew, or Egyptian, or Pharaoh lunar year. The daughter 
 of Pharaoh, then, was the daughter of the lunar year, or 
 of Luna, equally with the savior of Bacchus. The power 
 of explanation is in that the pagan glyph is less obscured
 
 § 94- Appendix VI. 267 
 
 than the Hebrew one, inasmuch as a lunar quality is plainly 
 given ; but once taken, the Hebrew is by far the most valu- 
 able, inasmuch as it gives the very value of the quality — 
 viz., 355 — 1:=354. Faintly, the mission of Moses before 
 Pharaoh can now be disclosed. Moses stands before the 
 pyramidal flame. His name, TM^D, equals 345. To what 
 the value refers is a mystery. It may be taken. as the 
 radius of the elements of circle three, § 82 (3.), as connected 
 with the pyramid interior works ; or as the numbers 3 — 4 — 5 , 
 for the sides of a right-angled triangle ; or as 435, for 217 
 X 2 ; or it may be taken in connection with the problem of 
 Mr. Myers, given in his Quadrature, connected with 7^ = 
 49 -f I =: 50 (and as to which there is curious rabbinical 
 learning in Land Marks of Free Masonry, Vol. 2, p. 432, 
 note, London ed.) The pyramidal flame may involve the 
 word s/iadd/, HC^, the god-name, as 318 (T doubled by 
 dagcsh), or 314, diameter to a circumference of one., and 
 circumference to a diameter oi one; the mean being 316, a 
 great value connected with the foot of the descending 
 passage-way in the pyramid, or 381. The Lord, or Jeho- 
 vah (a diameter value growing out of 113, and the perfect 
 one of a denomination of 20612), appears to him. He says 
 he has selected him to go before Pharaoh, or 355, the cir- 
 cumference of 113. As a proof, he tells him to throw the 
 rod (a diameter) he has in his hand (value 5) down upon 
 the ground (113 X 5 = 565 = TV\T\, or Eve, or woman half 
 of Jehovah). It becomes a serpent. He tells him to take 
 it by the tail (the value 5 for hand is also the letter H, or the 
 womb, and taking the tail of the serpent in the hand is 
 equivalent to the process of making the year scale, as 
 365 — 5 ='360 — 5 = 355), and it is now the year value. 
 But having done so, it becomes again a rod, or diameter 
 value, or the lesson is taught. Here are numbers, values, 
 and symbols of the calculations, in terms of the lunar year 
 values, for the serpent is one symbol for the calculation of 
 the lunar year in the terms of the values 113 : 355. With 
 these, Moses is to go before Pharaoh, who is the lunar year, 
 as 355-
 
 268 Appendix VI. § 95- 
 
 Egypt was darkness, or the womb, or mother, in oppo- 
 sition to Mount Zion, which was male. It was out of 
 Egypt that God deigned to " call his son." (Seyf. Chro., 
 p. 191.) She was the woman of the garden, or rather the 
 garden itself, whose number was that of the 7th day, or 7, 
 and which was based on 113 : 355. The river Nile was 
 one of the passage-ways from the center of the garden, or 
 the place of the birth of time. Pharaoh, or 355, was 
 Egypt, because he was lord of Egypt ; and Moses was the 
 calculator, or Hermes. Again, from these connections, it 
 now becomes plain why Solomon (the son of Shcbu, or 7, 
 and who afterward entertained the queen of darkness, or 
 S/icdd), together with his other buildings, erected a porch 
 (type of revolving time or aeon) for Pharaoh's daughter, 
 adjoining his judgment (Dan) hall. It is but a figure for 
 calculations of time, the hall of judgment being the place 
 of Hermes, or the Egyptian Thot, the god of knowledge, 
 and the calculator. It is possible that light is thrown by 
 the Moses glyph upon the shipwreck of St. Paul. Paul 
 shipwrecked, while kindling a fire, the rods or sticks being 
 in his hand, a serpent escaping from the flame (mystic), 
 or pyramidal sun measure, wraps itself around his fore- 
 arin. Here seems to be the recurrence of the type under 
 a change of form, after a fashion approximating the 
 fpkillin use, a note as to which is to be found in the con- 
 clusion to these appendices. 
 
 The Construction of the Tahcrnaclc. 
 § 95. The greatest expansion from the Garden of Eden 
 (on and in which it is rabbinically said that the whole law 
 rests, but that its containments are too subtle to be found), 
 architecturally, was the tabernacle, which Moses built just 
 after his serpent exhibitions before Pharaoh. In various 
 places, especially see Smith's Dictionary of the Bible, 
 where a most beautiful eye-pleasing structure is framed, 
 and the Bible correctcdhy an F.R.S., descriptions of the 
 tabernacle are to be found, as an apparently pleasing tent 
 structure to the eye ; but a careful reading of its descrip-
 
 § 95- App5;ndix VI. 269 
 
 lion in Exodus, with an attempt to put it together, will cor- 
 rect the ardent desire of most to have of it a stylish oriental 
 structure. They will soon see, who try this, that the setting 
 forth and combining of measures was the object of the 
 mention and detail of its various parts. The grand object 
 of this tabernacle wms that it should be a residence of Je- 
 hovah. Now, the work was made up by the offerings of 
 the people. There were just 603550 people enumerated as 
 offering a helcah apiece. There were two bekahs to the 
 shekel; therefore, there were offered — 
 
 603550 -^ 2 = 301775 shekels. 
 But there were 3000 shekels to the talent. So there were 
 just- 
 In talents, 100.00 
 With remainder over, of, in shekels, 1775.00 
 
 It may be stated in another way. There being 603550 
 bekahs, there being 6000 bekahs to the talent, then there 
 are 100 talents, with a remainder over of 3550 bekahs 
 (where the use of 113 : 355 crops out as 1130 : 3550, 
 where 11 30 is circumference to a diameter of 360). 3550 
 shekels -^ 2 = 1775 shekels, as above. 
 
 This was the actual division made ; for, of the 100 tal- 
 ents were made the sockets of the pillars, and of the re- 
 maining 1775 shekels were made the hooks of the pillars. 
 These last words, the hooks of the fillars, 
 
 are said to be of very great kabbalistic value ; so much so (it is 
 said) that, in the scrolls of the law, the commencement of a 
 section is, where possible, made by the letter r-a?/, the f age 
 itself being considered as the omudim; because, it is said of 
 them, that they carry the key power of the tabernacle con- 
 struction. By the same authority, it is said that the word 
 DmiDI^, omudim, can be taken as meaning cubits; hence a 
 meaning oi mother diwd fore- arm. In one way, apart from 
 this departure, the difficulty is not very great, with the helps 
 we have of construction. The house was to be the place 
 of residence of Jehovah, and Jehovah is but a play on the 
 value 113, or diameter to a circumference of 355, or Pha-
 
 270 Appendix VI. § 95. 
 
 raoh ; while it is also the value of the straight line one, of 
 a denomination of 20612. We have the form — 
 
 (i.) 113 : 355 •: 56.5 : 177-5 
 and 
 
 (2.) 56.5x*°=mn»: 177.5x10=1775- 360:1130+. 
 
 In the 3550 bckahs, whence the 1775 skekels, we have cir- 
 cumference to 1130-f- ; which last is circumference to 360, 
 the standard year or Jehovah year value, as a perfect cir- 
 cular element. Here, in (2.), we have the form of the 
 1 775' or hooks of the -pillars of the house of ychovah, di- 
 rectly connected with Jehovah, in the form 56.5 X i** = 
 mUS where Jehovah is shown to he the diameter to this 
 very 1775 ^-^ <^ circumference : so, in fact, the Jehovah value 
 is being raised, in -pari ^assu, with the 1775 shekel value 
 of the hooks of the -pillars. In heathen mythology, the 
 hooks of the pillars may have indicated the hooks binding 
 together the opening of the sistrum, sacred to Isis, or the 
 woman ; and this, as the Garden of Eden, was the womb 
 of time, virgin, because it was productive of itself. The 
 origin of measures, however, was also a Jehovah expres- 
 sion, as 10, or picture of a circle, with its diameter straight 
 line, the perfect or straight line one, hermaphrodite, and 
 of the perfect circular value 20612, the source and begetter 
 of all things, the infinitely small, but of the same realizable 
 proportional value as i — 20612, invisible, intangible, yet 
 resident at the meeting of the male and female cubes, over 
 the ark, and between the cherubims. As the 7th day was 
 the kodcshed day, the pure virgin day or circle, so also, 
 when the tabernacle was completed, as a badge of all its 
 containment, the high priest wore on his forehead a plate 
 of pure gold, bearing the inscription 
 
 where the same feminine trait as of the 7th day is predicated 
 of the great word. Kodesh VJchovah was holiness to the 
 Lord. By the various hieroglyphic powers of this combi- 
 nation, the various purposes of the tabernacle, for measure^ 
 sacrifice, and worship, are to be found indicated. 
 
 (a.) There is one fact in regard to Moses and his works
 
 § 95- Appendix VI. 271 
 
 too important to be omitted. When he is instructed by the 
 Lord as to his mission, the foiver name assumed by the 
 Deity is, I am that I am, the Hebrew words being 
 
 a various reading of ^'^^T^ Now, Moses is HC^D, and equals 
 
 345- 
 Add the values of the new form of the name Jehovah, 
 
 21 -{- 501 + 21 = 543, or by the reverse reading 345 ; thus 
 showing Moses to be a form of Jehovah in this combina- 
 tion. 21 -T- 2 = 105, or, reversed, 501, so that the asher 
 or the that in lam-that-Iam is simply a guide to a use of 
 21 or 7X3- 501^= 251 + , a very valuable pyramid num- 
 ber, indicating the distance from the intersection of the 
 passage-ways to the central axial line of the structure. 
 The analysis of this form really conducts one back, by ref- 
 erence, to the Garden of Eden form, on which the pyramid 
 resulted. Very frequently, however, the simplest form of 
 symbol use is the most important. Bend 345 into a circle, 
 and we can read 354, which is the result of Bnosh, as 
 C^"IJ{<, or 365 — I == 364, which has for the other extreme 
 ■3^ t — I = 354, where 364 comes from the kodeshcd use of 
 the 7th day, as 7 X 4 = 28, and 28 X 13. or 52 x 7>= 3^4 ; 
 thus showing Kodesh V Jehovah truly enough ! And, 
 again, it can be read 435, and 435^2=217+, or the 
 heel use.
 
 272 Appendix VII. § 96. 
 
 APPENDIX VII. 
 
 The Fourth Chapter of Genesis. 
 
 § 96. The attempt at guiding one's way through one set 
 or kind of hieroglyphic readings spurs out, here and there, 
 hints which may be used as helps to other kinds of con- 
 struction. Rabbinically and kabbalistically, it is averred 
 that the entire Biblical knowledge is held in the first four 
 chapters of Genesis ; but it is also taught that the subtlety 
 of teaching, or its comprehensiveness, is such as to prevent 
 recognition in many ways and details. One great cloak to 
 blind as to determined readings of the narrative style is in 
 the making use of the hermaphrodite condition ; for in- 
 stance, a personification combining the idea of male and 
 female may be treated of as -di feminine quality^ through 
 determinative construction, while at the same time it may 
 be characterized by superficial description in its other quality 
 as male. Thus the name Jacob, ^pl^"% or J^i^^ is heel, is 
 hermaphrodite, where, as regards the whole concreted 
 name, Jah (or Jehovah) is masculine, while heel is the fem- 
 inine part. Jacob evinces this by seizing with his hand 
 (1» :^ I _|_4 — 5) the heel of his brother. The word T, or 
 hand, has a sexual meaning masculine, while the heel is 
 feminine, and yet as a pictured hieroglyph, and as 5, it is 
 the womb, a creative number. Thus a double combination 
 of Jacob's hand, male, with Esau's heel, female ; or of Esau, 
 male, with Jacob, in his feminine quality oi heel, as female, 
 which betokened the changes of relationship which they 
 should take to each other on the celestial circle. So also 
 with relation to the glyphs of Sodom. Nork shows, clearly 
 enough, that the controlling characteristics of the Sodom 
 description are feminine. Its geographical location was at 
 the salt lake, and Venus sprang from the salt foam. It was 
 the as^haltum or bitumen lake, — to that extent a Typhonic
 
 § 96. Appendix VII. 273 
 
 emblem of darkness^ or the pit, — also feminine. It was at 
 evening, when the angels went over from Abram, the sun 
 measure (who, as typifying this measure, was at midday 
 seated in the door of a pyramidal structure, under the ver- 
 tical rays), to his brother, or countermart (or sister), Lot, 
 seated in the gate of a fortress^— 2\\ feminine traits. The 
 recondite meaning connected with the place was as of the 
 abyss, ecclesiastically paralleled to woman^s desire; and 
 thus " those^^ (men?) of Sodom who attempted to seize the 
 male guests of the patriarch's brother, though his daughters 
 were offered a"5«^r-fice, are clearly enough determinative 
 of the real natural fact that they {'■'■ those^^) were women. 
 Further determinations are made. It is Lot's wife that 
 turns back with longing desire, and is converted into a 
 pillar of salt, a monument of combination ; while it is 
 Lot's daughters to whom the impulse of repeopling the 
 world is given. The tracing of the subtle substitutive in- 
 volutions of these qualities becomes the necessity for the 
 reading of the more important teachings of the esoterism. 
 It is under just such a cloak that the feminine character of 
 Hebcl, or Abel, is concealed in 4th Genesis. 
 
 It has been seen that the Garden rested on the Adam or 
 144 form, as 4 squares of 6 X 6 = 36 each, around a central 
 point ; then the crossed lines are extended out, so that the 
 area 36 is expressed in line measure of that number ; which 
 36 is diameter to 113 o-f- ; which brings up the 113 : 355, 
 from whence the woman and the Parker numbers, con- 
 structive of the pyramid. Now, subdivide these lines of 
 36 by 4, or 36 X 4 = 144 each, and in number we have 4 
 of them. The operation is indicated by 4^, or 36 X 16 = 
 576, as 144 X 4, and the letters of Cam's name, pp, added 
 as to their full values, gives the character value of 16, as 
 100+ 10 -{-50= 16 — o. The Garden has now become, 
 under this use, one of a square of 144 in the center, or 
 Adam, expanded into four such squares, or, together, a 
 large square of 144 X 2 = 288 to the side ; or, ctibcd, the 
 Adam or hermaphrodite cube, as a primal one, is, in sep- 
 arating into male and female, each a perfect one, enlarged
 
 274 Appendix VIL § 96. 
 
 by 8 other cubes into another perfect one, where, however, 
 it is composed of the separated unities. The circumfer- 
 ence of this large square is 144 X 2 — 288 to the side, and 
 288X4=1152 for circumference, and as indicating this 
 we have the first values 115, by reading the letter values 
 of Cain's name, as they run, in ^p, or 115. The measure 
 of a horizontal line passing through this garden, then, will 
 be noted from verge to center, as 144 — 441 ; counter farted ^ 
 so as to exhibit separated qualities, just as it was in the ex- 
 pression of woman-man, as 311 — 113; and this is the 
 meaning, or source of meaning, of the kabbalistic use of 
 reverse readings. It was always the double cube — i. e., 
 male-female, i. e., white-black; and it explains the read- 
 ing given of 1656 — 6561, or 6561 — 1656, already had. But 
 a most interesting feature now presents itself in this subdi- 
 vided value of this garden. 144 is 12 X 12, and the side 
 of the great square of 144 — 441 is 12-J-12, or 24 in length, 
 where 144 is taken as, say, inches, and reduced to feet. 
 24 is four sixes, or 6 X 4 = 24. Now, this is exactly the 
 measure of the base of the great pj^ramid in this identical 
 scale of measure ; for i^o.^S^-\-feet, which is diameter to 
 
 I 
 a circumference of 600 feet, is numerically just - of the 
 
 side of the base of that structure, and 600 X 4 = i\oofc€t, 
 as the circumference to the base side in feet, taken as a 
 diameter value. 
 
 (Perhaps a simpler way of explaining the likeness is this : The 
 pyramid base side" is diameter to a circumference of 2^00 feet, 
 which can be used as its equivalent ; and 24 feet is the charac- 
 teristic of this base side. 2^ feet is 28S itiches, or 144 X 2. 144 
 is Adam, the nucleus of the garden, and may be taken as the 
 square of 12, for area, or as 144 for the side of a square. Place 
 this in the center of four squares of like size, and the side of the 
 larger square, so framed, will be 288, or the characteristic of the 
 base side of the pyramid in inches. 288 X 4 = 1152, the total 
 circumference. Besides this, this 1152, as designative of this cir- 
 cumference, is symbolized by the letters INRI,'standing for earth, 
 air, fire, and water, the elements composing the cosmos which 
 the pyramid measures. Bend these letters into a circle, and their
 
 § 96. Appendix VII. 275 
 
 number values read 1152. This is referred to in the last part of 
 this Appendix.) 
 
 Here the characteristic value is taken in 24 feet. Again, 
 referring to the garden form of the crossed lines being 
 36 — 6^, these indicate 113 — 311, for 113.0+ is circumference 
 to 2^ as a diameter ; and 113 X 5, if this be so subdivided, 
 equals 565, or JllH, or Eva, or hovah. But to indicate the 
 cube of 8, enlarged from the cube of one, the letters H and 
 n are, together, an oblong of two squares (p. 160), or the 
 Phcnician fence ^ giving these two letters — viz., divided — 
 and one part of this oblong is H, and the other H ; but H is 
 the womb letter, or 5, as showing the half of the -primal 
 one, and taken as the single cube, it requires just 8 others 
 for the enlarged cube, and the letter 11, the other part of the 
 oblong, is 8. Therefore, mil, or primal Eve, and Hin, or 
 Eve separated to be the -prodiici^ig mother, are simply de- 
 terminative of this, as the one is H (or 5), Eve, and the 
 other n (or 8), Eve. This enlargement is based on the 
 idea that for every perfect woman there must be a perfect 
 man ; hence the combination is a black cube and a white 
 cube, the practical value being in the meeting of the cubes 
 or covenant: so that while (H)-ouva, or !lXi^)> is woman, 
 (Ch)-ouva, or nXn)» is woman having a husband. But 
 this doubled form is an oblong, and, to make it a perfect 
 square, four must be taken, or 8 such alternating cubes, to 
 make another perfect cube. The commingling of Adam 
 with Eve produced the welding together of the two Garden 
 forms in Cain, or yehuvah, who was the divider, or meas- 
 urer, or distributor. Cain was Vulcain, and Vulcain, 
 with the Egyptians, was the greatest of the gods, or of the 
 Cabirim. Vulcain was Pater-Sadic, the Right One, or the 
 Just One ; and by Fuerst : " Sanconiathon calls one of the 
 constellations Mizor, 1?/D, a brother of Sadie, pH^ (same 
 with Melchi-Sadic, the Just One) — i. e., Jupiter;" which 
 simply shows that Mitsar, or Mitzar, ll^'D, Egypt, was the 
 same with Mizar, 1?0, and was both wife and sister of 
 Jupiter, who was the Melchizadik of the Hebrews. 
 SeyfFarth, Part 2, p. 74, gives Cabiri?n as Gibborim, "the
 
 276 Appendix VII. § 96. 
 
 mighty men of renown in those days," in 6th Genesis. 
 And Fuerst says of the Cabirim (planets) : "A name of 
 the 7 sons of pH^*," or Pater Sadie, or Cain, or Jupiter. 
 As the expression '■'-Adam (144) knew Eve (56-5 or 
 56-8), is but the commingling of the Garden of Eden ele- 
 ments, and as the Cain form is but another use of the same 
 elements, it is most interesting to read the teaching of 
 Irenaeus (xxxiv) (Adam and Cain being one), that "the 
 father and the son lie with the woman ^ whom they call 
 Mother of all that live (Eva)." (Sod., p. 74.) How true 
 it is here, for it is the intermingling of the squared forms 
 of earth measure (Adam-Cain) with the circular measures 
 taking their rise from the woman (HJJ^Nn, 5315) ; whence 
 Eve, as shown. 
 
 Before proceeding to the reading of 4th Genesis, a 
 governing determinative should be taken into considera- 
 tion. Cain has, in one respect, the same quality with 
 Adam — viz., he is " <z divider of the Adam-h^'' or tiller of 
 the soil," and as with Adam, it may go to show the use of 
 measures in right lines, though connected with circular 
 values. This seems to be determined bv the fact that 
 Cain is said to be "Jehovah; and the other fact that in all 
 the conversations in this glyph, the god-name Elohim (or 
 31415), circumference value is dropped, and Jehovah^ 
 mn* (or 113 X .5 = 56-5 X ' " (= nin*) = 565 > Eva), a di- 
 ameter value is alone used. Such being the main idea 
 (whatever the uses under it, which no doubt involve time 
 and earth measures), when this special phase of the problem 
 is worked out, and perfectly ended in the Cain glyph, as a 
 variation on the general workings of the main problem, the 
 subject is resumed under the other form ; for, as determina- 
 tive of this, the TVsTV form is dropped, and that of circum- 
 ference is again taken up in the expression " for God hath 
 appointed me another seed instead of Abel," where, lor the 
 first and only time in these connections, the term Elohim 
 (31415), God, is used. The seed was TW, Seth, the year, 
 ts values being 3 X 4 = 12, and, as an origin, 34-4 = 7. 
 
 (a.) (i.) The first sentence in 4 Gen. i, is : "And Adam
 
 § 96. Appendix VII. 277 
 
 knew Eve, his wife ; and she conceived and bare Cain, and 
 said, I have gotten a man from the Lord," agreeably to the 
 accepted translation, which is manifestly a false rendering. 
 A better and more literal rendering is : "And Adam knew 
 Eve his wife ; and she conceived and bare Cain, and said, 
 I have measured a man, even ychovak." The reading is 
 ka'nithi aish eth Jehovah ^ or 
 
 Here the proper name is taken as a measure. Wordsworth, 
 in a note on 4 Gen. i, on this passage, says : 
 
 " Cain — I have gotten\ — Katn, from Ka'nithi., I have gotten. 
 Here is an instance of the principle on which names were given 
 in primitive times — namely, a desire to indicate some leading 
 characteristic of the person, or thing, to which they were given. 
 See (Genesis) ch. iii., v. 20. Kain intimates acquisition., and 
 Eve's next son was called by her Abel — i. e., vanity., 'weakness'^ 
 
 This principle, as laid down by Dr. Wordsworth, is found 
 everywhere to be a right one. Here, while the name may 
 stand for a great variety of uses (a phenomenon of the 
 hieroglyphic), one fundamental recognition is oi the fact 
 denoted b}'- the act of Eve — viz., / have measured^ is fol- 
 lowed by the substantive form, a measure, or Cain, or ye- 
 hovah. The word of the text is derived by Wordsworth 
 from ka'nithi, I have gotten. The derivation is good, for 
 the verbal is kanah, HJp. We find this as H^p, a substan- 
 tive, meaning measuring stick, or rod, the beam of a bal- 
 ance, from the verbal HJp of Wordsworth, which is "iden- 
 tical in its organic root with IIJD, or Cdndh, to divide, 
 separate.'' (Fuerst.) So, also. Sir William Drummond 
 takes the same derivation — viz., as a measure. (Qidipus 
 Judaicus, p. 196, on chap. 15, v. 22, and chap. 17, v. 9, 
 of the Book of Joshua.) The derivations run off into other 
 significations ; as, for instance, H^D, Cdndh, to divide, sep- 
 arate, is same as 11^11, chdndh, both meaning to fierce, as 
 " n^n, chdndh, (i.) to incline, to bend ; (2.) to fierce of a 
 tueapon, organic root of which T\'T\, chn-h, also lies in |p, 
 Kn (pp, Kan), belonging to pp, Kay in, Cain (proper 
 name)." (Fuerst.) As exceedingly pertinent to this sub-
 
 278 Appendix VII. § 96. 
 
 ject, after HJH, chdndh, and next in order of words comes 
 the word " 111^11, chanoch, noun proper, (i.) of the son of 
 Cain (meaning Instructor, Initiator), by LXX, e'vw;^, (2.) 
 of the son of Methuselah, who founded the 365 year." 
 (Fuerst.) It is so pertinent, because of showing Cain to 
 be the measure, in Chanoch his son, the instructor, or ini- 
 tiator, of the astronomical circle and the solar year. And 
 also, likewise, " The god of //;«e was worshiped under the 
 names of pfl, chiun, by the Egyptians ; clearly taken from 
 p3, ciun'^ (Fuerst, under pD, ciun, a name of Saturn, or 
 Seth) ; and V\'2, diun, is same with pp, Cain. Th^ pillar 
 was a mark of the year, and Nork says of Cain that he 
 was as the German pfeil, pfcilcr, spear, ox -pillar, or the 
 god with the hasta or spear point. Thus one has the word 
 Cain as a dividing, splitting, ox piercing measure of time ; 
 and, besides, he was the earth measurer. Now, Vulcain 
 was the Pater Sadie, or Melchizadik, and as a form of 
 Mars, with the Egyptians, he held the ecliptic. Libra, or 
 the balance, and also was the piercer, with the sign of 
 Mars, or the hasta, or spear. Tubal-Cain, son of Cain, 
 has been taken by commentators as Vulcain, but there was 
 no need of going so far for the sameness. The very name 
 Vulcain appears in the reading, for in the first words of 4 
 Gen. 5, is to be found V'elcain, or Vulcain, agreeably to 
 the deepened u sound of the letter vau. Out of its imme- 
 diate context, it may be read as, " aiid the god Cain,'^ or 
 Vulcain. If, however, anything is wanting to confirm the 
 Cain-Vulcain idea, Fuerst says : " Pp? Cain, the iron 
 point of a lance, a smith (blacksmith), inventor of sharp 
 iron tools and smith work." Cain, as a number value, is, 
 as the letters run, 115; adding the full values 160, or 
 character value of 16, or adding the character values (as 
 I -|- I -f 5) is 7. He is at the head of a system of calcula- 
 tion, PS Seth is ; Seth, TS^, being 3 — 4, as the letters run, 
 adding the character values, is 7, or multiplying them, 
 3 X 4=12. But Seth seems to be the more perfect value, 
 for it is composed of the productive numbers 3 and 4. 
 Mars and Vulcain, or Cain, or Pater Sadie, are forms of
 
 § 96. Appendix VII. 279 
 
 each other. Under the Egyptian forms of the celestial 
 system, by one or other form, Mars held the solstice and 
 equinox points. But Mars was the generator.^ while Vul- 
 cain was the divider or measurer. 
 
 (2.) Cain, as son of Adam, 144, was Adam ; and, as 
 son of the woman^ he was 113, man; and 113 X. 5 = 
 56.5 X ' " (= XVSXV) = 565 = mn = Eva ; where, in 56.5 
 X ^^, Jehovah springs from 113, ox man: so, thus Cain, 
 the measure^ was man, as 113, and Jehovah as 565*. 
 And so, also, Cain thus welding together the Adam and 
 woman forms of the garden, thus becomes really a 
 determinative of what has preceded in the narrative. 
 He was 144, and its feminine, or circular derivatives ; and 
 this is determined, for it is said "Cain was a divider (by 
 measure) of the earth." The words are rTD"1N ID^, obed 
 Adam-h. The verbal obed, is to divide, to separate, to 
 mark by long stripes or furrows ; and these are the more 
 radical meanings, the secondary derivation being to till, to 
 cultivate. It is thus expressly said that Cain is a divider 
 of the Adam-h, or of the 144-5, or 720. Taken literally, 
 and always in division keeping the counterpart form, the 
 divisions of the square would be 720 -^ 2 = 360 — 063 ; 360 
 -^ 2 = 180 — 081 ; 180-^ 2 =90 — 09 ; where the division has 
 come to its lowest integral terms in the square of 3. But, 
 virtually, it is seen that this is but the Garden form. It is 
 very curious that the counterpart values present strange 
 co-ordinations with the general subject-matter ; for, 6-;^, = 
 9X7, and 7 is characteristic of ^, and 9 is of >^, or together 
 ^^, ots, the tree of the Garden; 81 is the side of the area 
 square of 6561, the Parker base; while 9, the last sub- 
 division, with the 16 of Cain's name, gives 9 X 16 = 144, 
 or a curious restoration of the Adam form of 144 in its sub- 
 division of the cube of 3, and the square ot 4 ; and 16 -^ 9 
 = 1777.77+, the cubit value of the base of the pyramid. 
 Cain's function seems to be marked as of the quadrant di- 
 vision lines of the square, or of the cube, or he seems to 
 represent the cross division lines. It has been shown that 
 for calendar purposes, Cain, as 115, was the complement
 
 28o Appendix VII. § 96. 
 
 lo make up the standard year of 360 days, or the celestial 
 circle of 360 degrees, as 28 + 217 -|- 115 = 360 : and that 
 on this, as a standard, the addition of the 5 epagomenai 
 days made up the full solar year of 365 days. Thus, Cain 
 can be taken as this value of 360 degrees, of which he 
 holds the crossed lines as exactly balanced, because he was 
 the yust One. This was the standard celestial circle, of 
 which the horizontal diameter was the ecliptic, to which 
 plane all movements of the heavenly bodies were referred. 
 The divisions of the Zodiac (ring of life) were laid off on 
 this circle in 12 compartments. The compartment of Sag- 
 gitarius bounded on the winter solstice, and was called 
 Tohi as a month; then followed the Goat, Waterman, 
 Pisces, Aries, Taurus, and Gemini, six divisions closing 
 up to the summer solstice in Gemini, which was called Pani. 
 But by this distribution Scorpio falls to the second sign be- 
 low the autumnal equinox. The actual distribution of the 
 full solar year months, on these signs, did not accord with 
 them ; but June being Cancer, as a month, to accord with 
 the signs, fell back on to the sign Gemini, of the standard 
 circle or zodiac, 22 degrees, or days, so that June 22, for 
 the month, accorded with the boundary line of Pani. By 
 this arrangement, which was the correct one, Scorpio would 
 also fall back, as a month, to within ten degrees or days 
 of the boundary line of the autumnal equinox (September 
 22 to end of month inclusive 9 days -\- the ist day of Oc- 
 tober) ; which ten degrees, or ten days, was the amount to 
 be added to the 355 year, or Abram-Isaacyear, to make up 
 the full complement of 365 days. Putting these ten days 
 in a box, carried the last day of the 355-day year over this 
 gap of ten degrees, which, as blotted out, carried or con- 
 tinued the equinoctial to the first day of Scorpio, not as next 
 to, but as the actual first day of October. And, indeed, 
 this was the adjustment as made by the Hebrews ; for 355 
 was their basic year value, and hy Xheiv squared /orm, they 
 followed the order of the actual months, so that the third 
 quadrant of the year run : Leo, Virgo as the corner square, 
 and then Libra. By this arrangement, this or the holy
 
 § 96. Appendix VII. 281 
 
 square, or cube, was embraced, between Cancer and Scor- 
 pio, depicted as so much alike as to represent the cheru- 
 bim, measuring the holy cube in the holy of holies. It 
 was the function of Cain, to adjust these unequal qualities, 
 the one to the other; i. A standard year base; 2. A 
 standard zodiacal circle ; 3. The arrangement of the 
 actual year of 365 daj's for distribution on this circle. But 
 it is seen that under the squared form Scorpio could be 
 treated of as Libra on the standard circle, so that the same 
 phraseology would apply to each. By this month arrange- 
 ment, also, the same figures would apply to the same sea- 
 sons perpetually ; while, by the fixed value of the signs of 
 the Zodiac, they would fall away from fixed locations of 
 the year by the lapse of time, as they have done. 
 
 Thus, under this explanation, one of these cross lines 
 leads from Scorpio, and this was the place of piercing the 
 dying sun, or rather of impregnating the deaths with the 
 new sun. Here, at the autumnal cross, as referred to the 
 center of the square, was the piercing of Abel accom- 
 plished ; but unfortunately for what is called orthodoxy, 
 the bloodshed was chdthan ddnii, *D"1 [riH, or the bloods 
 of the bride chamber. How exceedingly wonderful the 
 connecting links of this esoterism are ! Jesus was the son 
 of man, the Ben Enosh, or Enosh, or 365 — i = 364, the 
 son of the year, or Scth, TW ; but the patriarch Judah, son 
 of Jacob, the Leo or lion of the Zodiac, and renewer of 
 this Garden of Eden glyph, in his ^hase of working, found 
 Tamar on the same crossed lines, at the same place (the 
 solstice line crosses the equinoctial at the center ; the cross- 
 ing being in common, Judah looked down to his opposite 
 for Tamar, and met her in the center, just as Scorpio met 
 Taurus at the same place), but at harvest, along the solstice 
 line between Leo and the goat, and she was the ancestress 
 of Jesus through Pharez. Now, while Enosh is the j^ear, 
 Tamar was the palm-tree, a recognized symbol of the sun 
 and of the year, in its hollowness, or nothingness, showing 
 another phase of this astronomical picture ; so that, both 
 by numbers and by types, and also by derivation, Jes-us
 
 282 Appendix VII. § 96. 
 
 was the sun, as well as a man ; and as such, Jesus and Abel 
 were one. The glyphs, as the saying is, run on all fours 
 together. Cain, a Mars form, pierces Abel, and the Roman 
 soldier, a son of Mars, pierces Jesus. Both, by Kabbal- 
 ism, are pierced at the meeting of the cubes, or covenant, 
 or at the intersection of the crossed lines. Abel is said by 
 some to be the same with Abelion, the sun. In the " Ros- 
 icrucians," by Hargrave Jennings, is a representation of the 
 astrological-theological cross. The man Jesus is depicted 
 as half male, half female ; the female, or sinister, or dark, 
 or evil side, being blackened. On this cross He is pierced 
 in the sinister side, in the venter, which by the chart is 
 Virgo (but should be Virgo, Scorpio), the place of piercing 
 being in the side of the man, or in the approach to the door 
 of Indranee, and just where the woman was taken from 
 the man's side in the Garden. But man, as 311, is the 
 woman, or the two are interchangeable under the coun- 
 terpart form 311 — 113, so that the piercing is the type of 
 the consummation of marriage, duplicated in that oj" the 
 rite of circumcision. 
 
 So Cain is Melchizadik, or Pater Sadie, or Jupiter ; the 
 Just One, or the Right One, or the Adjuster. He is the 
 ecliptic, and the balance line for equinox, and solstice. He 
 is the divided cube, representing, as to one of its phases, 
 the heavenly measures. It is not a single cube, but is made 
 up of 8 cubes of 144, each, in its subdivided form, com- 
 bining distinct males and females, for production. 
 
 (3.) The narrative proceeds, "And she again bare his 
 brother Abel ;" where the word brother is simply an ob- 
 scuration of the sex of Abel (he being hermaphrodite), 
 which in reality predominates in this glyph as /c?nale. It 
 is observable, too, that no mention is made in this case of 
 knowledge by Adam. It is so in the first verse, and it is so 
 in the close, as relates to Seth, but here there is omis- 
 sion. Abel is 7^,T Hebel, and, adding the character 
 values (3+2 + 5) equals 10, or the perfect one, or Jeho- 
 vah, showing that Abel and Cain are but phases of the 
 same form — viz., of Jehovah. As this is so, while ^^,-1,
 
 § 96. Appendix VII. 283 
 
 Jlcbcl, has its significant use as a single word, it is suscep- 
 tible to division into ^DTF, or H-Bl, or Thc-Bcl, or the 
 sun. In this form the values run 32-5, and 32 X 5 =160 = 
 Cain ; thus showing the collateral sameness. As a num- 
 ber value 10 is the perfect cube (so was Cain) ; it is also 
 circumference to 31.8 as a diameter, and this was the Gnos- 
 tic Christ, who was Jehovah. But the double form of Je- 
 hovah, as male-female, is here eliminated, because by the 
 determinatives Hebel is made to assume the feminine side 
 of his own form exclusivel3^ The meaning of the word 
 Hebel is emptiness, nothingness. This is the idea of the 
 primal God. In Kabbala, the first cause^ God, is named 
 rj<, oin, nothing. (Franck, 115, quoted from Sod. p. 67.) 
 Nothingness is used as a mark of the female. Nork says 
 that the beautiful Naamah was an astronomical name for 
 Venus ; as she was, also, he says, the Bohu, or word for 
 void in i Gen. v. 2. Take other words of like and kin- 
 dred and correlative meanings : p^^ ayin — "8 
 from p^, un (==p5<, un), same as pi<, aven, nothingness, 
 vanity (=7]3rT' ^^^^)? sin, lie, . . . but see p^, o;z." 
 (Fuerst.) Under p^, on, but in form p|^, avon, is" found 
 the idea of emptiness, with sin and cohabitation all com- 
 bined. This is determinative of the cha7-acter oi\h^ circle 
 as a personage : (i.) That it is but the circle part of the 10, 
 the straight line, or diameter value, being left out — i. e., it 
 is an empty circle ; (2.) That, sexually, Abel is feminine, 
 for the purpose of this glyph. This is again determined 
 with a new significance in the description, "And Abel was 
 a keeper of sheep," or follower of cattle. The words 
 keeper of sheep, are jj^l^. Hyi, roeh tson. This word 
 roch, keeper, is a compound of ^"1, ra, evil, bad, wicked, 
 malignant — in short, the early church characteristics of 
 woman; and with appended H, h, is not only a shepherd, 
 but a shepherdess. But take the word as a numerical de- 
 terminative, ^"1= 27, n = 5, and 27X5=135, or .1:^*K, 
 or woman. Again under p}<, avon, same as p^, un (vari 
 ously pointed), not only are the same meanings expressed, 
 but, also, it is used as On, or Heliopolis, the city of the
 
 284 Appendix VII. § 96. 
 
 Sun^ which is the hollow circle of the year. But, indeed, 
 7^n ' <^h^bcl, signifies, to conceive^ 2X^0 ^ains of birth. 
 
 And thus a feature of the glyph is of the Garden of 
 Eden: (i.) In its masculine, or right line, form of Cain- 
 Adam, and (2.) in \{s feminine , or sun circle, form of Abel ; 
 and its object is, in some sort, to show forth astronomical 
 applications of the measuring elements of one to the other. 
 But as Cain, as The Right One, holds the balances, or 
 beams of the balances, and there are two balances — viz., 
 that of the equinoxes and that of the solstices — he as di- 
 vider, or center crossed lines, of the Adam-h, cuts this 
 circle in its quadrants. It has been shown that the bal- 
 ance opposes birth and death in the Mars form. The 
 chief points were in Aries and Scorpio. 
 
 Now, there is a curious reflection. In Hebrew, the bal- 
 ances are D^JtK'D, m-oznim, while the cars of the head are 
 D*J?{<, oznijn, the precise same word, save the mem, D, pre- 
 fixed. The type is clear enough, for the division of the 
 head at the ears exhibits this very glyph of the Mars form 
 of birth and death, as balanced in the equinoctial scales. 
 To join the two symbols, as significant the one of the 
 other, in the Hindu form, over the mouth of the vagina is 
 drawn the scull and crossed bones, forming a kind of mon- 
 
 ogram for Ife. In church emblems, one finds 
 
 ^ 
 
 or crossed bones with this letter character, which is the 
 letter p, kopf, or symbol of the half of the head back of 
 the ears. 
 
 (4.) By considering the place of Scorpio, or D'lilah, in 
 its evil aspect, as connected with its feminine quality, then 
 it would come under the adjective form of evil, or J^l, ra ; 
 and the opposite to this would be good, or y\r\, tobi, as 
 designative of the two opposite qualities. Now, by the 
 ancient Egyptian charts, the zodiac sign of Saggitarius, 
 bordering on the winter solstice, carried the name Tobi, or 
 the Hebrew 'y\^, good; while the opposite sign of Gemini, 
 bordering on the summer solstice, carried the name Pani,
 
 § 96. Appendix VII. 285 
 
 or Hebrew Pant, ^J£3, /ace or aspect. The astronomical 
 course of going from Tobi, by way of the vernal equinox, 
 which, as opposed to Scorpio, was ^ood, to the summit, or 
 Pam\ would be upward to the highest point, where the 
 aspect or face of the year would change to its reverse de- 
 clining. From Panty the course of the seasons would be 
 declining, by way of Scorpio, or evil, toward the winter 
 solstice. Now, taking what is said to be so as to the offer- 
 ings, Cain being yehovak in this glyph, as a diameter 
 value, or as diameter values, has nothing to do with him- 
 self, but does in his masculine capacity shine (for the word 
 is shine) favorably upon the circle of the year, or zodiac, 
 or life; or upon Eve, Venus-Naamah. At the summer 
 solstice point is the intersection of the diameter line with 
 the curve, at the highest reach of the sun. The sun here 
 is vertical, just as at the noon point, and the standing still 
 of the sun at the noon point was called *01, ddjui, by the 
 Vulgate, and LXX, (Fuerst), and ddmi, ^01, is exactly the 
 same word for the bloods of Abel, which Cain shed. Here 
 was the fiercest power of the sun looking down vertically 
 along the solstice line to the intersection of the cross lines. 
 At the same time, his aspects change or fall to his declining. 
 This is actually described. It says : "And it burned upon 
 Cain, and his aspect, *J£3, Pani, changed to descending." 
 Now follows a description of where the sun is going to in 
 descending, by a history of his travel. The words are : 
 " If thou doest well (good, Tobi,y\\2i), there is exaltation, 
 rising'' — i. e., you will rise by way of the good side ; "but 
 if thou doest not well (when you are descending). Sin 
 (feminine nj^DIl, chattath) is a Lier-in-wait at the door or 
 opening (or Sin is at the qjiadrant line, at the opening ; 
 for YT\, rbts, the Her in wait, is also the ^th side, as of a 
 cube, or square, as well as a cotich to lie on.) Again: 
 "Sin lieth as a copulatrix, at the door or opening; 
 for J*2"), rhts, is same with '^*T\, rba, and is not only to lie 
 down, to cotich, but also to copulate. The word for open- 
 ingis in the same kindof connection, for piinfi, piththachon, 
 the opening of the mouth, and also H^nnD, fthach vah.
 
 286 Appendix VII. § 96. 
 
 or "Jail is causer to bear, where El, or Jah, is conceived 
 of as the creative world-power." (Fuerst.) In other words, 
 "At Scorpio you will find Naamah, as beautiful as wicked, 
 who is, in this instance, the feminine part of your brother 
 Abel." And now comes a great determinative, fastening 
 this interpretation, as of marriage, or the consummation 
 of marriage. In the i6th verse of the 3d chapter, as to the 
 woman, it says : "And thy desire shall be to thy husband, 
 and he shall rule over thee," which was the accompaniment 
 of sin, or transgression, or crossing, as a quality deter- 
 mined upon to be the characteristic of woman for all time. 
 Here (obscured under the male-female form) it is said as to 
 Hebel, as Sin, to the man Cain or Jehovah, "And her 
 (his) desire shall be unto thee, and thou shalt rule over her 
 (him)." This seems to mark out an unmistakable character 
 of the glyph. But it is followed by the fact, for it was that 
 they, being in the dividing of the field (rflC^"!!, B-sadeJi), 
 Cain, the rod, rose up and violated his brother. It was 
 marriage, and the bloods that were shed were the ^D1 [nH, 
 chathan ddmi, or bloods of the bride chamber; and 
 they were to be found as part of the h-adam-h, or 3600 — 
 0063. The Cain form of the garden was 144 — 441, and 
 the bloods shed are 441, or ^D"T, or by counterpart 441 — 144, 
 which simply shows that these bloods were, after all, but a 
 means of division of the garden for astronomical and other 
 purposes ; and as the sun standing still is vertical, as coin- 
 ciding with the one Cain division line, is by name ^D1, 
 ddmi, or 441, so the bloods of Abel, shed on the other, and 
 horizontal division line, are also *D"T, or 441. Considering 
 the 144 — 441 or 441 — 144 form of the Garden, and the 
 exact fittingness of these applications, as 441 and 441, for 
 ddmi, thus twice used, respectively, for solstice and equinox 
 line, with the narrative form of explanation, and the inter- 
 pretation of the glyph for this phase seems good. 
 
 (5.) But the Cain form of the Garden, 144 — 441, has 
 been shown to be in the reduced form, exactly significant 
 of the base of the great pyramid — i. e., 144 inches is 12, say, 
 feet, and 12 = 6 + 6; therefore, there being 144 X 2 to the
 
 § 96. Appendix VII. 287 
 
 side of the Garden, this is, in this reduced form, four 6s, or 
 6 X 4= 24 ; and indeed the actual measure of the side of 
 base of the pyramid is diameter to a circumference of 24. 
 Now, since from the very first line of Genesis, through the 
 Garden of Eden scene, there has been a continuous and 
 systematic reproduction of the pyramid elements of con- 
 struction, in another mode of working them, with also the 
 very foundation principles and numbers on which it was 
 constructed, to be found both in the Garden and in the flood 
 glyph, it might well be expected that this 4th chapter, like- 
 wise, would be really founded on the same method as the 
 exactly correct one laying at the base of all other phases 
 to be presented. And, indeed, the connecting link between 
 the general construction of the exterior and of the interior 
 work does seem to exhibit itself as obscurely hidden away. 
 Cain and Abel are together in the dividing of the field. 
 The word is sddch, TT]^, field, and rather means a dividing 
 as of a field. With this word is the prepositional prefix D, 
 or B ; or the whole is mtJ^ — D, B — sadeh, and for value 
 we find the character values as they run, 345-2, which 
 may designate the counterpart use of 345 — 543. Now con- 
 sider, however, that we have the exact terms of the pyramid 
 base in the Cain Garden form, as shown, and then that we 
 have the Hebel circle in connection with it. Then here 
 there are the two elements necessary for ^putting the -pyra- 
 mid ill a sphere. Now, refer to the geometrical problem 
 for the construction of the interior works, § 74. One por- 
 tion of this problem — viz., that having reference to the 
 great salient characteristics of the interiorworks — is founded 
 on " circular elements three,'' as given in § 82, namely : 
 
 "(3-) 
 
 Height, 
 
 309.-}- feet 
 
 base side, 
 
 2 
 
 243-+ " 
 
 — base diagonal, 
 
 343-+ " 
 
 (( 
 
 Radius, 345-+ 
 
 "These are the circular elements whence the complete
 
 288 Appendix VII. § 96. 
 
 pyramid, as to its inside work, is fitly framed and put to- 
 gether." 
 
 Here the radius value is given at 345, and the diameter 
 value would be 345-2. But here in the word B-Sadch, 
 T]1^*"2, yve have 345-2, this very value. Not only so, but 
 adding the full values of the letters of the word Sadck, and 
 we have t^, 300 -|- 1, 4 + H, 5 =309, which is j'usl the 
 height of \.h\s ^pyramid three, as shown. Not only so, but 
 the 343, gives the value 343 of the descending passage- 
 way. It is next to impossible to prevent the mind being 
 convinced that these lines of similitude are intentional, 
 where the various corroborative data are taken into bear- 
 ing. But, really, in connection with these pyramid coin- 
 cidences, there is one which seems absolutely to confinn 
 or establish the relation. It will be noticed that " circular 
 elements three" are connected with the problem of " /«- 
 terior geometrical construction,''' agreeably to the diagram 
 shown in § 74 {b). Referring to that diagram, it will be 
 seen that the 309.397+ referred to is geometrically con- 
 nected with that angle., which has been supposed to be that 
 of the roof of CampbclVs chainbcr, and of the queen's 
 chainbcr, in the pyramid. That angle has been shown to be 
 115*^ (see § 76). Now the name Cain, or pp, equals, tak- 
 ing the character values as they run, 115, as has been so 
 often referred to. Independently of this, in 345 we find 
 the name Moses, UtTQ, =345, used as / am that I am, 
 shown also to be 345, in the Pharaoh glyph. So, also, 
 345 X 6= 217-0, or it is a multiple of the heel, or Jacob 
 value ; while if 345 be bent into the form of a circle, it may 
 be read 354, or the lunar year value. Not only so, but in 
 
 I . 
 
 the — base side of these designated pyramid elements — 
 
 viz., in the value 243 — we find the name Abram. More- 
 over, in this connection, it has been shown that the height 
 of the intersection of the floor line of the grand gallery 
 with the south wall thereof, above the base of the p3^ramid, 
 was diameter to a circumference of 5184, the solar day 
 value. Well, 5184 = 72 X 72, and this is the division of
 
 § 96. Appendix VII. 289 
 
 the central square of 144 of the Cain Garden, or 144 -^ 2 
 = 72 — 27. So, indeed, here in this combination is Moses, 
 Abram, heel or Jacob, with Jehovah, and Christ ; and all 
 are developed in the pyramid. The divided form of this 
 Jicld would take the numerical display of 
 
 345— 543 » 
 which again presents strange features; for 543-^ 7 = 63, 
 
 and 63-H 7 =9. But 7 and 9 are the characteristic values 
 of VJ/, or <?/5, the tree of the Garden, the twining together 
 of the two parts of which indicates the *D1 \T\T\, chatha^i 
 dami^ or consummation of marriage, in its attendant blood- 
 shedding. So, also, 7 X 7» or sevenfold, seems to look 
 toward the sevenfold ot Cain, and the 70 and 7 fold of 
 Lamech. 7 X 7^49, the perfect square, to which if one 
 be added, the result is 50 ; and is the subject of the curious 
 note referred to in Land Marks of Freemasonry. So, 345 
 + 543 = 888, and somewhere this value is given as a Gnos- 
 tic value of Christ. (Moses, 345 ; I am that I am, 543.) 
 (6.) If one counts the days of the solar year frorjj equi- 
 nox to equinox, or from solstice to solstice, he will find that 
 there is not an even division. March 22, to the end of 
 March, inclusive, is 10 days ; this, or 10 -j- 30 -|- 31 + 30 + 
 31 _|- 31 -|- 22 = 185 days, and 365 — 185 = 180 days, for 
 the other half, showing a preponderance of 5 daj-^s in the 
 upper half. Include the solstice days in the lower half, 
 then the upper half has 183 days, and 365 — 183 = 182 ; 
 showing a diflerence of i day as surplus preserved by the 
 upper half. As to the solstices, from the 22d June to_the_^ 
 end of the mo Dll3-p..-mcLu'srv?ris °Q°°Ha^^^ 9 -|- 31 -|- 
 
 31 + 30 4- 31 -f 30 + 22 = 184 days, and 365 — 184 = 181 
 days, shov\?ing a difference of 3 days. Reverse by giving 
 the solstice days to the other half, and 184 becomes 182, 
 and 365 — 182 = 183 days, showing a difference of i day. 
 (Take the form in which 180 days becomes one of the 
 sides. This was the number of years of the life of Abra- 
 ham. Add the life of Isaac = 175 years, then 180 + 175 
 = 355 ; where, to make the 36o-3'-ear period, requires just 
 5 days. Add this to 175, and we have for the Isaac side
 
 / 
 
 290 Appendix VII. § 96. 
 
 180 also, and 180 X 2 = 360, or a year period of an exact 
 balance. To perfect the other, or 365-day year, another 
 5 days has to be added ; which heretofore we have found 
 to be added to the lower half, or about the time of the 17th 
 day of the 2d month, giving the preponderance to the lower 
 half of the year of 5 days, instead of to the upper, as 
 above. However, we see that by the addition of the 5 days, 
 the balance is disturbed.) It was, perhaps, this inequality, 
 or preponderance of one side over the other of the year, 
 which went to make up the mark on Cain, who was a 
 nodder, or wahbler^ or "wanderer in foreign lands," having 
 reference to the unequal motion of the earth with relation 
 to the ecliptic in its nodding. There had to be a variation 
 from a fixed standard of division, as of an even division, 
 to complete the natural year in its period of days. This 
 seems to be implied in Cain's expression, '•'•My sin is 
 greater than I can bear^^'' where the equivoque is perfect. 
 The two salient words are sin and bear, related with each 
 other by the comparative, i. e., greater. These two words 
 are very remarkable. They are : _/(?r my sin, dvoni, or 
 *^1i?, and ioxthaji I can bear,min'sho, or NIJTJ — D- A bet- 
 ter translation is: "My descending is greater than my 
 ascending^'' or " my left side is greater than my right 
 side." The word pj7, dvon, has the meaning of sin, or of 
 copulation, or of ihe Jem initie quality — found in various 
 ways, as nothingness, hollow, as given already ; and also 
 the left side by comparison. Rachel, in dying, brings 
 forth Ben — oni, or 01^ — p, whom she calls '•'■ son of my 
 guilt, or sorrow," as it is translated ; but while he is this 
 kind of a son, as related to her feminine quality of woman, 
 he was designated in another way by Jacob, who changes 
 his name at once, or in contrast, to Ben — faniin, or '-'• son 
 of my right side," or of the ^^ light, clear region, the day 
 side" as contrasted with sin, woman, dark, or left side. 
 So, also, these words give the idea of male side, as con- 
 trasted W\\h female side. In 4th Gen. 7, as already used, 
 are the words, " if thou doest well, there is dignity, excel- 
 lence, lifting up, exaltation," as in contrast with "5m
 
 § 96. Appendix VII. 291 
 
 licth as a cofidairix at the door.'''' The contrast word of 
 lifting tip, etc., is scath, nNJT, from NC^^, ndsd. Now, 
 this word is to be found as applied to Reuben by his father, 
 Jacob, where, by the translation, it is the excellency of 
 dignity, and where the words JlNt^ *^^^ yeter seath, can 
 be the prominence of my male part, for immediately before 
 is the sentence, ^'' the begitining of my strength,''^ where 
 for strength is, ''^^'^, dvoni, which is the same with Rachel's 
 *^1J/, dvoni, or femininity; and can be used as the begin- 
 ning of my sorrow, in the sense of iny source of bcgct- 
 tings^ This description is laying the foundation for the 
 conclusion, which is, "unstable as water, thou shalt not 
 excel." Why? "Thou wentest up to thy father's bed; 
 then defiledst thou it : he went up to my couch." Here is 
 an instance of what Iraneeus says, as quoted above. Par- 
 aphrased, the intent is, " Reuben, thou art my first born, 
 my eldest ; who, by right of primogeniture, art the repre- 
 sentation of myself: as such, thou art myself as to the 
 place of begettings, and the mean of begetting, because 
 thou dost represent me. . . . Yet wentest thou up," etc. 
 But to this purpose, here scath and avoni are used as meni- 
 brum virile and yoni. But further, when Jacob wrestles 
 with the angel, he does so in the dark ; and as he caught 
 the heel of his brother, so now Esau as the angel (see 
 Nork, Worterbuch) wrestles with Jacob. The conclusion 
 of the wrestling is that Jacob's thigh is dislocated, or is 
 wasted, or shrunken, as to its sinew. This sinew which 
 shrank is the same word with scath, JIJ^IT, from i^CO, for 
 " KC^:, with suffix \S*:rj, then Nn::*, more frequently ilXC^." 
 (Fuerst.) Now, while JVdsd, KC^J, is to raise up, to ex- 
 tend upward, to rise high, ndshd, T\'^^, is to extend, stretch 
 out, showing the sameness of the words as cognate : then 
 there comes, as related, Hl^'J, nashd, the large hip sinew; 
 and, in fact, the rabbinical reading of this is, according to 
 Nork, '' spannader fiir den phallus, 7X',!2n "IDJ^." (See 
 under Jacob.) So also, it could be taken as the assump- 
 tion of the feminine quality in this wrestling. After this 
 struggle in the dark, his name is changed from its feminine
 
 292 Appendix VII. § 96. 
 
 character of Jacob to Israel, altogether masculine, implying 
 here the change from the dark to the light part of the year, 
 the boundary line between which was the brook which he 
 crossed, or Pani-El, or the division line at the solstice, pre- 
 cisely as in the description of Cain, as going up from Tobi 
 and descending from Pani, the same solstice line is desig- 
 nated. Under "Jacob," Nork says : The cardinal or hinge 
 point is "therefore called Pani-El (7X"*J£3), i. e., change 
 or turning oi the {time) god, that place where Jacob 
 wrestled with the demon, in whom the rabbins recocrnize 
 Esau, from whom the name of the boundary river Jabbok 
 (pD* V. pD5»{, to wrestle), and overcome him." Pani-El and .^ 
 Jabbok are used interchangeably. ^ 
 
 His going up was Scath, or male, and his descending r 
 was on the other side toward the characteristic of that side C 
 — \\z., /einale. The male was his right side, the female 
 was his Ic/t side. Now from summer solstice to winter 
 solstice is 9 + 31 + 31+30+31+30+22=184 days, 
 and 365 — 184 = 181 ; so that the female side was greater 
 than the male side by 3 days. Or, considering the circle 
 of the year as the form of a man-w^oman, his left side at 
 the hip would be greater than his right side ; or, his sin 
 side was greater than his male side. And this goes to 
 show that the glyphs of Cain and Abel, and of Jacob and 
 Esau, are to this extent alike, as having reference to the 
 same phenomenon. Now as to the mark set on Cain. 
 The words are fllJ^ fpS Hl.T DC^^, V'yasem Yehovah 
 I'kayin, oth, where the predicate yasem, Dt^*% is the apoca- 
 pated future hifil, from shivm, Dli^. Of this word under 
 (11.), Fuerst says: " Properly, to be veiled, hence to be 
 obscured, darkened; metaphor, to be impotent, weak; fig., 
 to be on the left — t he left side bein g^re^r arded ^^jJie weak 
 - one^ the left district as the obscured, concealed one. See 
 pflV, Tsafhon; SkOC^' Samaeir Tsaphon "is the dark, 
 wintry hemisphere, the dark region, where the sun and the 
 stars are extinguished, and the light of heaven is swallowed 
 up." Samacl "is the veiled, dark region of the north; 
 what is turned to the north, the left side, the left hand.''
 
 § 9^- 
 
 Appendix VII. 
 
 293 
 
 It was reported, rabbinically, that Kin (Cain) the Evil was 
 the son of Eve by Samael the devil, who occupied the 
 place of Adam. 
 
 So the reading of the line is : "Aild__thfi_LDriLcaused 
 impotence to Cain, or weakness, or loss, on the left side, as 
 
 a mark or token," etc. ; and this corresponded with the 
 lameness of 
 
 and also with the lameness of Vulcain. 
 This impotencelias nothing to do with the left side being 
 the largest, but with its female quality ; for it is ascribed by 
 the rabbins to that of the virile power, which is extin- 
 guished in the dark or female part of the year, which 
 commences with the vintage, the sun in Scorpio, just where, 
 by the Persian symbolization, the Bull suffers castration by 
 the Scorpion, or ju st where the ^ of Jeh ovah conceals itself 
 in HovaTT. 
 '■'"^"T(7t)==-As" one after another of the allegorical uses comes 
 up, and- is explained, the aggregation all tending to one 
 elucidation, serves to clear away the ambiguity and equiv- 
 ocation from the remainder. It is seen how fitly the 
 Egyptian mode of hieroglyphic expression fits to the He- 
 brew use. As there was a common underlying use in 
 numbers and geometrical forms, as in the Bible there is 
 constant reference to a mysterious connection between the 
 Hebrews and the Egyptians, so there seems to have been 
 an interchangeable use of a common mode of expression. 
 This accords with the statement of Seyffarth (Chro., p. 34) : 
 
 " Now, we know that with Abram, 1 150 years after the flood, 
 484 yeai"s after Phaleg, during whose life the Egyptians and all 
 the other ancient nations emigrated from Babylonia — i. e., 2781 
 B. c.-— the Hebrews left their original jolace of abode. These 
 Abramidae spoke Hebrew, and consequentl}' this same language 
 inust have been indigenous in Chaldea. But as Menes also came 
 from Chaldea only 484 years before Abraham, the ancient 
 Egyptian language 7nust be itztimately related to the HebrexvP 
 
 And this agrees with what one so frequently finds as to 
 the, by statement, passing over of old Phenician radicals into 
 the formation of hieratic words, to the Egyptians, Babylon- 
 ians, even Hindus, Greeks, Latins, Germans, and espe- 
 cially British, showing a common reservoir of knowledge
 
 294 Appendix VII. § 96. 
 
 for all these ancient people. Already we have seen this 
 to be the case as to Arcts, Mars, Tobi, and Pani, in 
 especially hieroglyphic connections. The equivocation in 
 the narrative scene of Cain and his brother Abel, as to the 
 slaying, as to " cursed art thou," as to " my sin is greater 
 than I can bear," is perfect. But these are preceded by 
 one just as great in the words of warning to Eve. The 
 Garden scene was the picture of that sinful transgression 
 culminating in the universal fall of man (or better, of 
 woman), bringing upon an innocent progeny unnumbered 
 woes. In the very first exertion of his divine power, God, 
 we are led to infer from the simple narrative, set a trap for 
 his most simple-minded and ignorant son and daughter. 
 There seems to be, on the face of this "as in Adam all 
 fell," a sort oi non scquittir, as relates to the honorable and 
 merciful character of the inventor. But, manifestly, and 
 to speak seriously, as relates to humanity, the Garden was 
 the scene of the creation of and first recognition by the 
 sexes of their difference of organism ; also of their sexual 
 introduction the one to the other. Now, the little deeper 
 reading of the narrative turns the mask and shows the nat- 
 ural and true intent, thus spoiling the equivocation. While 
 Adam was in the hermaphrodite condition — i. e., before the 
 woman was taken from him — he or she is told as to the for- 
 bidden fruit, " for in the day thou eatest of it, dying thou 
 shalt die" (Gen. ii. 17.) illQ, muth, dying, mOD, Td- 
 muth, thou shalt die. That this was said to her is clearly 
 implied in verse 3 of the third chapter, where the words are 
 the same. The following, as to the Egyptian, will lend 
 further and singular reflections on this subject : 
 
 '•'■Mtith, or Mouth, was the Egyptian cognomen of Venus (Eve, 
 mother of all living), or tJie moon. Plutarch (Is. 374) hands it 
 down that ' Isis was sometimes called Aluth, which word means 
 mother. Either Man, or Alaut^ means nurse, mother. Perhaps 
 Muth is to be derived from j\Ian-tho^ materterra (Eve-Adam), 
 which being the fact, Muth differs in nothing from Isis, queen of 
 the earth (Issa, Hl^J^' tuotnan).' (Is., p. 372.) Isis, he says, is 
 that part of nature wliich, as feminine, contains in herself, as 
 (nutrix) nurse, all things to be born. ' Certainly the moon,*
 
 § 96. Appendix VII. 295 
 
 speaking astronomically, ' chiefly exercises this function in 
 Taurus, Venus being the house (in opposition to Mars, _^e«er- 
 a^or, in Scorpio), because the sign is luna, ]),hypsoma. Since 
 truly it may be taken from this passage of Plutarch, that Isis 
 Metheur diflers from Isis JSIuth^ and that in the vocable Aliith^ 
 the notion of bringing forth may be concealed, and since fruc- 
 tification must take place, Sol being joined with Luna in Libra, 
 it is not improbable that Muth first indeed signifies Venus in 
 Libra ; hence Luna in Libra." (Beitrage zur Kenntniss, pars 
 II, § 9, under Aluth.) 
 
 Now there is not a word of this description which is not 
 fitted to the scope of the Garden of Eden glyph. It is 
 part and parcel of the same learning that gives the Egyptian 
 ARTS, as the Phenician and Hebrew ARTS, in the first 
 chapter of Genesis. Now consider the correlating terms, 
 Sin with Intercourse, and the symbol of death being but 
 that of birth, as they have relation to the place Scorpio, 
 the opposite to, yet connected in the center, with Taurus- 
 Venus, and the conclusion is irresistible, that in the words 
 ''dying thou shalt die'' (that is, in Scorpio), we have by 
 correlative reading and meaning " conceiving thou shalt 
 become a mother'' And this agrees with the fact related ; 
 for she did eat the fruit, she did not die, and she did be- 
 come a another. This shows the double play upon the word 
 Muth, nits, by help of which the real intent is produced in 
 the occult way, as intended. Sin, death, and woman are 
 one in the glyph, and are correlatively connected with in- 
 tercourse and birth. This derivation once stated, finds 
 full confirmation on its own Phenician, or Hebrew soil. 
 The word Bohu, IHD, void, has been seen to be taken for 
 Eve-Venus-Naamah. Fuerst, under Bohu, IHD, says : 
 
 " In this.primitive signification was IH^ taken in the Biblical 
 cosmogony, and used in establishing the dogma (j^NQ V\ fcs- 
 (us), niaven, Jes-us from nothing^, respecting creation. 
 Hence, Aquila translates ov6h, vulg. vacua " (hence vacca, co-w), 
 " Onkelos and Samarit, ^^pH- The Phenician cosmogony has 
 connected Bohu, Ipf;^, Baof, into a personified expression denot- 
 ing the primitive substance, and as a deity, the mother of races 
 of the gods. TheAramean name n'lilD. il'inD- ^{n"*I^D' Baa;.!f, 
 Bi.i9-of, Buto, for the mother of the gods, which passed over to
 
 296 Appendix VII. § 96. 
 
 the Gnostics, Babylonians, and Egyptians, is identical then with 
 Mot (niD» our Muth), properly, Biii^ (ri""in^), originated in 
 Phenician from an interchange of b with mP 
 
 This .view assists also to another facility for interpreta- 
 tion. Each sign to be mentioned was a double sign, or 
 male-female — viz., it was Taurus-Eve, and Scorpio was 
 Mars-Lupa, or Mars with the female wolf. So, as these 
 signs were opposites of each other, yet met in the center, 
 they were connected ; and so in fact it was, and in a double 
 sense, the conception of the year was in Taurus, as the 
 conception of Eve by Mars, her opposite, in Scorpio. The 
 birth would be at the winter solstice, or Christmas. On 
 the contrary, by conception in Scorpio — viz., of Lupa by 
 Taurus — birth would be in Leo. Scorpio was Chrestos in 
 humiliation, while Leo was Christos in trium-ph. While 
 Taurus-Eve fulfilled astronomical functions, Mars-Lupa 
 fulfilled spiritual ones by type. 
 
 The workings out of this glyph of 4th Genesis help to 
 the comprehension of the division of one character into the 
 forms of two persons ; as Adam and Eve, Cain and Abel, 
 Abram and Isaac, Jacob and Esau, and so on. It helps, 
 also, to take the horrid blemish off from the name of Cain, 
 as a put-up job to destroy his character ; for, even without 
 these showings, by the very text, he was Jehovah. So the 
 theological schools had better be alive to making the amend 
 honorable, if such a thing is possible, to the goodnameand 
 fame of the God they worship. 
 
 (8.) Now, as linking together several great salient 
 points in the Biblical structure: (i.) As to the Old and 
 New Testaments ; with, also, (2.) as to the Roman empire ; 
 (3.) as to confirming the meanings and uses of sym- 
 bols ; and (4.) as to confirming the entire explanation and 
 reading of the glyphs as (5.) recognizing and laying down 
 the base of the great pyramid as ihe foundation square of 
 the Bible construction, (6.) as well as the New Roman 
 adoption under Constantine — the following is given : 
 
 Cain has been shown to be the 144 — 441 form of the 
 Garden, based upon a square of 144 X 144 in the center.
 
 § 96. 
 
 Appendix VII. 
 
 297 
 
 He has been shown to be the 360 circle of the zodiac, the 
 perfect and exact standard, by a squared division ; hence 
 his name of Melchizadik. He has been shown to be the 
 distributer or adjuster of the 365-day year on this square 
 of 360 or 36. The Hebrew year has been shown to be the 
 base, in Abram, 180 + Isaac, 175 = 355. This + 5 = 360, 
 or Cain, and 3554-10 = 365, by which the solstice and 
 equinox points of the 360 or zodiac (or life) circle are made 
 to fall back, as to the months of the 365-day year, so that 
 the equinox points shall fall, as for months, on ihejfirst day 
 of October^ or Scorpio, and its opposite ; while the solstices 
 are to be marked by Leo and its opposite. This was a 
 Hebrew use and recognition under the squared form ; they 
 taking out the 3d quadrant, cube, of which Leo and Libra, 
 bordering on Cancer and Dan-Scorpio, were the corner 
 controllers. But this corner cube, worked in on to the 
 square of the entire year, was made to preserve this same 
 order, by Leo and Dan-Seorpio being made to hold, re- 
 spectively, the two controlling corners of the great square. 
 Now, this was all founded on the Cain-Adam square ; or, 
 as shown, the square of the base of the great pyramid. 
 Take this square, as the Cain-Adam square of 144 — 441, 
 with the central or Ada^n square of 12X12 = 144 (either 
 as a line or as area) ; and, holding the numerical value as 
 inches, take the' "Same square, as reduced to feet: 
 
 1 
 
 1 
 
 
 S 
 
 
 3 
 
 4' 
 
 
 
 2 
 
 1 
 
 A 
 
 
   
 
 
 By the very force of construction, the larger square will be 
 laid off into blocks of 6 X 6 feet, and its circumferen ce will 
 exhibit a face divided into 12 of these squares, and 12X6
 
 298 Appendix VII. § 96. 
 
 = 72 feet, or for a line circumference of 24 X 4 = 96 feet ; 
 while the interior or Adam square is shown to be divided 
 into 4 blocks of 6 X 6 feet each. It has been repeatedly 
 stated that the object of the great pyramid construction was 
 to measure the heavens and the earth; therefore, its meas- 
 uring containment would indicate all the substance of 
 measure of the heavens and the earth, or agreeably to an- 
 cient recognition, Earth, Air, Water, and Fire. (The 
 base side of the pyramid was diameter to a circumference 
 vn feet of 2400. The characteristic of this is 24 feet, or 
 6X4 = 24, or this very Cain-Adam square.) Now, by the 
 restoration of the encampment of the Israelites, as initiated 
 by Moses, by the great scholar, Father Athanasius Kircher, 
 the Jesuit priest, the above is precisely, by Biblical record 
 and traditionary sources, the method of laying off this en- 
 campment. The four interior squares were devoted to 
 (i.) Moses and Aaron; (2.) Kohath ; (3.) Gershon ; and 
 (4.) Merari — the last three being the heads of the Levites. 
 The attributes of these squares were the primal attributes 
 of Adam-Mars, and were concreted of the elements. 
 Earth, Air, Fire, Water; or D^ ^ lam = Water, "llj = 
 Nour = Fire, (11") = Rouach = Air, and T\^'y = Idbeshah 
 == Earth. The initial letters of these words are INRI. 
 This square of INRI is the Adam square, which was ex- 
 tended from, as a foundation, into four others of 144 X 2 
 = 288, to the side of the large square, and 288 X 4 = 
 1 15-2, =: the whole circumference. But this square is the 
 display of also circular elements, and 11 5-2 can denote 
 this. Put INRI into a circle, or read it as the letters stand 
 in the square, as to its values of 1521, and we have 
 
 which reads 115-2 of this fact. But, as seen, Cain denotes 
 this as, or in, the 115 of his name ; which 115 was the very
 
 § 96. Appendix VII. 299 
 
 complement to make up the 360-day year, to agree with 
 the balances of the standard circle, which were Cain. The 
 corner squares of the larger square are, A= Leo, and B = 
 Dan-Scorpio ; and it is seen that Cain pierces Abel at the 
 intersection of the equinoctial with the solstice cross lines, 
 referred to from Dan-Scorpio, on the celestial circle. But 
 Dan-Scorpio borders on Libra, the scales, whose sign is 
 =0= (which sign is that of the ancient -pillow, on which 
 the back of the head to the ears rested, the pillow of 
 
 Jacob), and is represented for one symbol as ^ — — — r 
 
 as has been shown. But also the badge of Dan-Scorpio 
 
 J 
 
 is death-life, in the symbol f~ as cross-hones and skulls 
 
 or back of the head, or life-death ; and this was the mono- 
 gram of Chr'estos, and the Labarmn, or standard of Constan- 
 tine, the Roman emperor. Abel has been shown to be 
 Jesus, and Cain-Vulcain, or Mars, pierced him. Constan- 
 tine was the Roman emperor, whose warlike god was Mars, 
 and a Roman soldier pierced Jesus on the cross ; so that 
 the three unite under this characteristic. But the piercing 
 of Abel was the consummation of his marriage with Cain, 
 and this was proper under the form of Mars-Generator ; 
 hence the double glyph, one of Mars-Generator and Mars- 
 Destroyer in one ; significant, again, of the primal idea of 
 the living cosmos, or of birth and death, as necessary to 
 the continuation of the stream of life. Now, the cross is 
 the emblem of the origin of measures, in the Jehovah 
 form of a straight-line one of a denomination of 20612, the 
 ■perfect circumference ; hence Cain was this as Jehovah, 
 for the text says that he was Jehovah. But the attachment 
 of a man to this cross was that of 113 : 355 to 6561 : 5153 
 X 4— 20612, as shown. Now, over the head of Jesus cru- 
 cified was placed the inscription, of which the initial letters 
 of the words have always been retained as symbolic, and 
 handed down and used as a monogram of Jesus Chrestos —
 
 300 Appendix VII. § 96. 
 
 viz., INRI, or Jesus Nazarenus Rex ytidcsorum ; but they 
 are located on the cross or the cubed yt?rw of the circular 
 origin of measures, which measure the substance o{ £arth, 
 Air, Fire, and Water, or INRI = 1152, as shown. Here 
 is the 7nan on the cross, or 113 : 355 combined with 
 6561 : 5153 X 4 = 20612. These are the fyramid-base 
 numbers, as coming from 113 : 355 as the Hebrew source ; 
 whence the Adam square, which is the pyramid base, and 
 the center one to the larger square of the enca7npment. 
 Bend INRI into a circle, and we have 1 152, or the circum- 
 ference of the latter. But Jesus dying (or Abel married) 
 made use of the very words needed to set forth all. He 
 says Eli Eli Lamah Sabachth-ani 
 
 For, read them by their power values, in circular form, as 
 produced from the Adam form, as shown, and we have 
 
 *7K = 113, "h^ = 113, or 113 — 311: (ID? = 345, or 
 Moses in the Cain-Adam pyramid circle: nflDiT = 710, 
 equals Dove, or Jonah, and 710 h- 2 = 355, or 355—553 ; 
 and finally, as determinative of all, J% or 7ii, where ^ = 
 TVz/w, fish = 565, and * = I or 10; together 565i=mnS 
 or the Christ value. 
 
 And thus closes the relation between the Parker and Me- 
 tius forms of numbers in construction of the great pyramid, 
 with their Biblical use ; and it is seen that the pyramid 
 sto7ie book is the equivalent of the Old and New Testaments. 
 
 Attention is called to part of the 46th verse of the 27th 
 chapter of Matthew, as follows : " Eli, Eli, Lama Sabach- 
 thani? — that is to say. My God, my God, wh}'^ hast thou 
 forsaken me?" Of course, our versions are taken from the 
 original Greek manuscripts (the reason why we have no 
 original Hebrew manuscripts concerning these occurrences 
 being because the enigmas in Hebrew would betray them- 
 selves on comparison with the sources of their derivation, 
 the Old Testament). The Greek manuscripts, without ex- 
 ception, give these words as —
 
 § 96. Appendix VII. 301 
 
 They are Hebrew words, rendered into the Greek, and in 
 Hebrew are as follows : 
 
 rrnnn::' no? h^ ^\v 
 
 The Scripture of these words says, " that is to say, My 
 God, my God, why hast thou forsaken me?" as their 
 proper translation. Here tlien are the words, beyond all 
 dispute; and beyond all question, such is the interpreta- 
 tion given of them by Scripture. Now the words will not 
 bear this interpretation, and it is a false rendering. The 
 true meaning \sjust the o^pposite of the one given, and is — 
 
 My God, my God, how thou dost glorify mel 
 But even more, for while lama is why, or how, as a verbal 
 it connects the idea of to dazzle, or adverbially, it could run 
 " how dazzlingly,'' and so on. To the unwary reader this 
 interpretation is enforced and made to answer, as it were, 
 to the fulfillment of a prophetic utterance, by a marginal 
 reference to \}i\Q. first verse of the twenty-second Psalm, 
 which reads : 
 
 " My God, my God, why hast thou forsaken me?" 
 The Hebrew of this verse for these words is — 
 
 as to which the reference is correct, and the interpretation 
 sound and good, but with an utterly different word. The 
 words are — 
 
 Eli, Eli, lamah azabvtha-ni9 
 ISJo wit of man, however scholarly, can save this passage 
 from falseness of rendering on its face ; and as so, it be- 
 comes a most terrible blow upon the proper first-tace 
 sacredness of the recital. There is but one, and there is 
 one escape, and that is by having resort to the mystical in- 
 tent. The Hebrew phrase was -purfoscd as it reads, and 
 its antagonistic and false rendering was furfosed as it 
 reads. It was on the same principle already mentioned, of 
 the crossed bones and skull, as an emblem of death, being 
 placed over the door of life and signifying birth, or of the 
 intercontainment of two opposite principles in one, just as, 
 mystically, the Savior was held to be man-woman. This 
 was the idea intended, and interpreted thus, the passage
 
 302 Appendix VII. § 96. 
 
 suffers no violence of distortion. Above, the numerical 
 values of the words have been given, as connecting them- 
 selves with the INRI, or 288X4 = 1152, of the inner 
 square and outer square of the encampment, which at the 
 same time is the base of the pyramid, by equivalence. 
 But by these numbers, Eli is 113 (by placing the word in 
 a circle) ; Lamah being 345, is by change of letters to suit 
 the same values HC^D (in a circle), or Moses, while Sa- 
 bachth is John, or the dove, or Holy Spirit, because (in a 
 circle) it is 710 (or 355 X 2). The termination «/, as mini^ 
 or 565'' becomes Jehovah. Connecting this phrase with 
 INRI, and it throws light upon the transfiguration scene on 
 the mount. There were present there Peter and James 
 and John with Jesus: or D% lami, James, water; XW^ ^ 
 Peter, earth; T\T\, John, spirit, air, and "11^, Jesus, fire, 
 life — together INRL But behold Eli and Moses met them 
 there, or *^j^ and n,tD7' °'" -EH and lamah, or 113 and 345. 
 And this shows that the scene of transfiguration was con- 
 nected with the one above set forth. 
 
 As closing these appendices, it is thought appropriate 
 and instructive to insert some comments upon the ^^ Study 
 of the Bible," made by a clergyman of New York city, 
 and published in the Tribune. The difficulties surround- 
 ing the text of the Bible, as received and interpreted, for a 
 satisfactory comprehension of the contents of The Book, 
 are ably and clearly set forth. Their setting forth seems 
 to point to the existence of a key of interpretation not as 
 yet known or made use of. That part of these comments 
 which is thought pertinent to the present inquiry, is as fol- 
 lows : 
 
 " The Church is to conserve the Scriptures, because they con- 
 serve the Church. The Jewish Church made the mistake of con- 
 serving the mere letter, and hence became corrupt. The Scrip- 
 tures are not the letter, but the spirit beneath the letter, reached 
 by the letter. The Church, then, rightly conserves the Scriptures 
 when, by diligent investigation through and beneath the letter, it 
 binds the varied truth of God fast to its life by a thousand cords 
 of knowledge and affection. With this view, then, of the study
 
 § 96. Appendix VII. 303 
 
 of the letter of Scripture as the necessary avenue to reach its di- 
 vine ti'uths, and as thus following the injunction of the Savior in 
 the text, we may notice three classes of difficulties which invite 
 this study, and to the solution of which the careful and concen- 
 trated search is essential. 
 
 " The first difficulty is the apparent want of harmony in the 
 different portions of the sacred volume. This has been the favor- 
 ite battle-ground of infidelity. Here it uses with effect its argu- 
 jncntum ad speciem^ and makes its crafty conquests. The Eloh- 
 istic and Jehovistic chapters of Genesis are irreconcilable ; the 
 Pentateuch bears marks of a post-Mosaic origin in its allusions 
 to the character and the death of the lawgiver ; the chronology 
 of the historical books is hopelessly confused and false ; the two 
 genealogies of Jesus are in direct conflict ; all the accounts of the 
 inscription on the ci'oss are discrepant ; indeed, the four Gospels 
 present a hundred points of difference and antagonism. James 
 and Paul teach, as respects one another, contradictory doctrines, 
 and the New Testament presents a system of salvation and eternal 
 life wholly inconsistent with that of the Old Testament. These 
 are the chief charges that are made where prima facie evidence 
 is on the enemy's side, and, as with the majority of our race, 
 priina facie evidence is all that men care to have against any- 
 thing they wish to avoid, these charges gain a common currency, 
 and repeat themselves in every age. To meet these charges and 
 their pernicious effects, a knowledge of the media through which 
 the Divine Spirit communicated the truth is necessary. The 
 mind must take a range through 1,500 years, from Moses to John, 
 and examine the variations of language and customs, the history 
 and national economy of the Jewish people, as well as those of 
 the great kingdoms of the Nile, the Tigris, and the Euphrates. 
 We must recognize the full idiosyncrasy of each sacred writer 
 under the divine afflatus. It must explore the analogies in expe- 
 rience, where different standpoints reveal apparent discrepancies. 
 It must learn to weigh wordb as they are given us in the Semitic 
 and Hellenic tongues, and detach them from the prejudice of a 
 translation. It must find the special object that was before a 
 writer's mind, and these special circumstances in which his utter- 
 ances first took place. It must review the laws of authorship 
 and editorship, and determine their influence upon the sacred 
 books. It must become familiar with the great landmarks of 
 chronology, and be able to establish the synchronisms of the
 
 304 Appendix VII. § 96. 
 
 Scripture narrative. Only in this way can scoffing infidelity be 
 answered, and the pious mind be edified by a discovery of the 
 perfect harmonies of the Divine Word. 
 
 " A second difficulty is akin to the first, and can be easily com- 
 pared with it. It is the obscurity of the text. It does not appear 
 to contradict itself, but its very meaning is a puzzle. The ordi- 
 nary reader sees only a chaos, and either looks over the passage 
 till he finds some plain words to satisfy him, or he performs the 
 dangerous task of guessing where he has no data, and so makes 
 the Scripture to speak falsely. To overcome this difficulty we 
 need all the appliances which are requisite in reading the alleged 
 discrepancies of the Word, and these are to be used in an in- 
 tenser degree. History and geography must be ransacked and 
 arranged in the mind ; the oriental habits and styles of thought 
 must be familiarized ; bigotry and narrowness must be aban- 
 doned for a broad view of the race and a generous sympathy for 
 human development everywhere. Especially are the two lan- 
 guages of Scripture to be carefully studied — the sterility of He- 
 brew, whose obscurity lies in its poverty, and the flexible and 
 beautiful Greek, whose obscurity lies in its richness. The En- 
 glish translation is one of the best ever made, perhaps the very 
 best after the Hollandish, and this English translation is so en- 
 deared to us by tenderest associations that it would not be wise 
 to set it aside for another. If any change be made, our old ver- 
 sion must remain the basis, and only such alterations efiected as 
 truth and righteousness demand. Our holy religion does not 
 require us to be blind moles, but to use our eyesight and discrim- 
 inate everywhere between the true and the false. The religion 
 of Jesus courts the fullness of light, and loathes the conservatism 
 of conventionality, prejudice, and ignorance. With all the excel- 
 lence of our English version, it bears marks of the human im- 
 perfection of the translators, as where they hide away the word 
 ' bishops,' in Paul's address to the elders of Miletus, and call it 
 ' overseers,' and where they call the Passover the heathenish 
 name of ' Easter.' Besides such willful errors, they erred often 
 through ignorance of the language they translated. The Hebrew 
 and the Greek are far better understood to-day than in 1611. 
 
 " But I turn from the obscurity of tlTe text to a third difficulty 
 which demands search, to wit, the apparent collisions between 
 Scripture and science. The God of the Scriptures is the God of 
 nature, and the explanation of nature will only magnify the 
 Scriptures. We know that, but we must show it to the world.
 
 § 96. Appendix VII. 305 
 
 The scientific investigations of this age arc manifold and ener- 
 getic, and it is for the Christian to rejoice in all the discoveries 
 which throw litrht on God's vs^onderful works in the material uni- 
 verse. It is for him to follow the physical philosopher, and to 
 weigh his stated conclusions, to judge whether they are warranted 
 by his premises (and this does not require a scientific knowledge, 
 common sense will do it), and then bring the truth from God's 
 Word, that these truths from the natural world may help explain 
 the sacred texts, just as our historical or linguistic facts have been 
 used before. In this way the supposed antagonism between ge- 
 ology and Genesis in the questions of cosmogony, the origin of 
 the race, and the deluge, will be dissipated, and the light of the 
 Word shine the more brightly. The lowest doubts of thoughtful 
 men will be respected and overcome, and the cause of truth 
 promoted. It will not do to ignore these questions. If they at- 
 tack God's Word, we must use them as means of searching God's 
 Word. To yield to the bold assertions of science versus Scrip- 
 ture is weakness ; while to shut them out from examination and 
 dogmatically denounce them, is not only weakness but meanness. 
 The only honest and manly way is to put science and Scripture 
 together, and look at them as you do through telescopic glasses, 
 till the two views blend in a harmonious unity, and proclaim their 
 common authorship. 
 
 " ' Search the Scriptures ' is the law of His Church and the 
 talisman of His bounty. Let us, then, no longer please the 
 devil and cramp our piety by neglecting the Bible. Let us bring 
 the strength of our being to the careful and prayerful exploration 
 of the fertility of revelation, where grow the flowers and the 
 fruits of Paradise. Let us be zealous in the study of the letter, 
 that we may reach the mind of the Spirit. Let us use the In- 
 spired Word as the medial glass through which we may the more 
 clearly see and know our Lord Jesus Christ."
 
 3o6 Conclusion to Appendices. § 97. 
 
 CONCLUSION TO APPENDICES. 
 
 Authorities for an Esoteric Reading of the Bible. 
 
 § 97. As is seen, the great display of the creative law 
 of measure among the Egyptians was in that " wonder of 
 the world,''' the great pyramid. Among the Hebrews it 
 was in (i.) the Garden of Eden; (2.) the Ark of Noah; 
 (3.) the Tabernacle; and (4.) the Temple of Solomon. 
 Around these actual displays, description was conveyed by 
 the hieroglyphic reading of the narratives of the Holy 
 Writ. " Wo be to the man who says that the Doctrine de- 
 livers common stories and daily words ! For if this were 
 so, then we also in our time could compose a doctrine in 
 daily words which would deserve far more praise. If it 
 delivered usual words, then we should only have to follow 
 the lawgivers of the earth, among whom we find far loftier 
 words to compose a doctrine. Therefore, we must believe 
 that every word of the Doctrine contains in it a loftier sense 
 and a higher meaning. The narratives of the Doctrine 
 are its cloak. The simple look onl}'- at the garment — that 
 is, upon the narrative of the Doctrine ; more they know 
 not. The instructed, however, see not merely the cloak, 
 but what the cloak covers." (The Sohar, 111,152; Franck, 
 119.) So the Church: "If we hold to the letters, and 
 must understand what stands written in the law after the 
 manner of the Jews and common people, then I should 
 blush to confess aloud that it is God who has given these 
 laws : then the laws of men appear more excellent and 
 reasonable." (Origin, Homil. 7, in Levit.) "What man 
 of sense will agree with the statement that the first, second, 
 and third days in which the evening is named, and the 
 mortiing, were without sun, moon, and stars, and the first 
 day without a heaven ? What man is found such an idiot 
 as to suppose that God planted trees in Paradise, in Eden,
 
 § 98. Conclusion to Appendices. 307 
 
 like a husbandman, etc.? I believe that every man must 
 hold these things for images under which a hidden sense 
 lies concealed." (Origin ; Huet. Originiana, 167 ; Franck, 
 121, quoted from Sod. "Genesis," p. i75-) "The mys- 
 teries OF the faith not to be divulged to all. 
 But since this tradition is not published alone for him who 
 perceives the magnificence of the word, it is requisite, 
 therefore, to hide in a mystery the wisdom spoken, which 
 the Son of God taught." (Clemens Alexandrinus, Strom. 
 12.) " For we shall find that very many of the dogmas 
 that are held by such sects (of barbarian and Hellenic phi- 
 losophy) as have not become utterly senseless, and are not 
 cut out from the order of naitcre,'''' are held in common 
 with us, the token of recognition being "by cutting ofi' 
 Christ." (Same, Strom. 13.) The following reflections 
 and notes seem appropriate as pointing an application of 
 these statements in various phases of a same system ; it 
 being premised that the germ or key of all these hidden 
 meanings lay in the possession of the method of measure, 
 and in the measure which the Lord God used in the con- 
 struction of the universe. 
 
 The Esoteric Teaching Confined to the Few. 
 § 98. The author believes that no man can study the 
 Bible a great while, carefully and dispassionately noting 
 its place in the world, its surroundings, its handings down, 
 its prophetical bearings, not considered in detail, but in 
 their large and comprehensive scope, without coming to 
 the conviction that a Divine power and providence doth in 
 some way or sort hedge it about, and without coming to 
 the conviction that this Divine Power is a conscious entity, 
 just as we are ; that He is, by His superiority, wisdom, 
 and power, continually and everywhere, intelligently pres- 
 ent as the immediate cause of each sequence in all the 
 universe, however minute. (Not working by positive fixed 
 laws of construction, which, once enacted, the work can 
 forever go on, without any immediate supervision of the 
 Master, a postulate so commonly assumed ; for it is observ-
 
 3o8 Conclusion to Appendices. § 98. 
 
 able, where investigation can reach, that while every type 
 of work seems to be under a general type law, yet every 
 individual production under a type is clearly enough seen 
 to be a variation upon every other individual, thereby ne- 
 cessitating the actual intervention of creative power for 
 every individual created under such a law.) He who con- 
 siders that man alone is the only phenomenon in all the 
 wide universe of a conscious intelligence, as concreted 
 from an infinite number of blind happenings or accidents, 
 arrogates very much to the superiority of his accidental 
 position, especially when he takes into view his own ac- 
 knowledged littleness and inferiority ; for he that can make 
 nothing is yet superior to the blind working of the elements 
 to which he is indebted for himself, which elements come 
 under the general term of God or Nature. What a pic- 
 ture of self-sufficiency ! The conscious entity, man, simply 
 proves series after series of just such a class of entities, 
 graded upward, past man's power of recognition. Man's 
 ego, as connected, even, say, inseparably with his body, is 
 just that phenomenon of nature that implies an ego func- 
 tion of nature herself, as inseparably connected with grosser 
 material than that function. The only question is as to 
 whether, in man, or otherwise, this function can shed its 
 covering for another; or whether, in fact, he may have 
 two kinds of material body, one of which may continue, 
 the other perishing. 
 
 But apart from this, and as to the Bible this being said, 
 there are, nevertheless, some strange features connected 
 with its promulgation and condition. Those who compiled 
 this Book were men as we are. They knew, saw, handled, 
 and realized, through the key measure, the law of the 
 living, ever-active God. They needed no faith that He was, 
 that He worked, planned, and accomplished, as a mighty 
 mechanic and architect. What was it, then, that reserved 
 to them alone this knowledge, while, first, as men of God, 
 and second, as apostles of Jesus the Christ, they doled out 
 a blinding ritual service, and an empty teaching oi faith, 
 and no substance as proof, properly coming through the
 
 § 99- Conclusion to Appendices. 309 
 
 exercise of just those senses \vhich the Deity has given all 
 men as the essential means of obtaining any right under- 
 standing? Mystery, and parable, and dark saying, and 
 cloaking of the true meanings are the burdens of the Tes- 
 taments, Old and New. Take it that the narratives of the 
 Bible were purposed inventions to deceive the ignorant 
 masses, even while enforcing a most perfect code of moral 
 obligations : How is it possible to justify so great frauds, 
 as part of a Divine economy, when to that economy the 
 attribute of simple and perfect truthfulness must, in the 
 nature of things, be ascribed ? What has, or what by pos- 
 sibility ought myster}'- to have, wiih the promulgation of 
 the truths of God ? 
 
 Arc the Keys of this Esotcrisin Lost? 
 
 § 99. Men like ourselves, who were capable of teaching 
 the multitudes, held this knowledge, both in the times of 
 the Old and of the New Testament. If at all, when was 
 this knowledge lost? There is witness, by the emblems 
 remaining in use, that two modern bodies have at one time 
 been in possession of the keys — viz., (i) that order called 
 the Roman Catholic Church, which is catholic to the extent 
 of possession of the emblems of the universal knowledge, 
 which was confounded by tiie confusion of lip, and which 
 possession has been dropped by all sects, creeds, etc., 
 which have dropped the consideration of the basic knowl- 
 edge or dahvar ; and (2) that body of men called Free 
 Masons. It is probable that the Greek Church, and the 
 Brahmin system also, come under this category. The 
 elimination of the vestiges of the workings by the key sys- 
 tem can even be seen in the English Church ; for one of 
 the great functions of the church was to regulate the order 
 and times of its holidays. This was done agreeably to the 
 passage of the sun in his circuits through the signs ; but in 
 the preparation of the order of service, as it is to be seen 
 on the origmal rolls (see facsimile of the Black Letter 
 Prayer-Book, made in 1663, as taken from the original 
 rolls or scrolls in the British archives), it was deemed, for
 
 3IO Conclusion to Appendices. § 99. 
 
 some reason, best to wipe out those calendars teaching the 
 progress of the sun through his signs. (There is but little 
 doubt that the rules for the calculation of tables of time, 
 to mark the proper observance of religious festivals, which 
 tables are prefixed to the Book of Common Prayer, are 
 precisely the same to be found in the first chapters of Gen- 
 esis, relating to the founding the year values on lunar ta- 
 bles. Christianity is almost undoubtedly indebted to the 
 ancient Jewish and Egyptian calendar rules, on which she 
 built up the special exceptional details of her own forms.) 
 
 Resolutions of the Academy of Sciences and of the Royal 
 
 Society. 
 (i.) One of the most remarkable proofs of the existence 
 of this knowledge (of the foundation of these mysteries on 
 the Parker and Metius relations of circumference to diam- 
 eter of a circle), down to a very late day, lays, as it would 
 seem, in the resolutions passed by those two learned bodies 
 of men, the Academy of Sciences at Paris and the Royal 
 Society of London. (See Parker's Quadrature.) It was 
 in the period of the revival of knowledge, when the world, 
 possessed of extraordinary intellects and wholly athirst for 
 learning, was investigating every cranny and department 
 of nature. All recognized the fact that in nature one of 
 the most interesting relations was that of circular to plane 
 shape, and the flux of one into the other. Ordinarily, in 
 matters of research, promising great rewards, none so per- 
 sistently encouraging of interminable effort in the pursuit 
 of the obscurer realms of science as these bodies. What 
 was the reason, then, that on the production by Legendre 
 of his acknowledgedly approximate value of tt, the Acad- 
 emy of Sciences passed that famous resolution that it would 
 never entertain any thesis on the subject of the quadrature 
 of the circle? What was the reason that, in a few years 
 afterward, upon Playfair's following in the footsteps of 
 Legendre, the Royal Society of London passed, perhaps, 
 a copy of the same resolutions? Since that time, every 
 man daring to venture into that forbidden field of research
 
 § 99- Conclusion to Appendices. 311 
 
 has been, by a mysterious common consent, hooted down, 
 laughed at, and derided, by the manifestations of a mock- 
 ing false pity ; and just in the measure that his works have 
 proved valuable, just in that measure has the effort been 
 strong to remove them from the study of the people. Now, 
 it is barely possible that the keys of these old mysteries are 
 still known and held by very few ; that these few are recog- 
 nized by the very highest of the order, so that an order to 
 that effect of procurement of just such a piece of chicanery 
 as that practiced by these societies, once promulgated, 
 would be obeyed and carried into effect willingly, and 
 even zealously, by multitudes of those who might remain 
 in perfect ignorance as to the source of the order or as to 
 its real object. 
 
 There are, moreover, two evidences of the modern ex- 
 istence of this knowledge in symbolism. 
 
 (2.) In " The Gnostics," Plate VI., i, is to be found a 
 Templar or Rosicrucian emblem. It is of that "/c/o/," or 
 '■'old man,''' a worship of which was charged against the 
 Templars. It is of an old man, with his arms crossed in 
 front. At his feet, on one side, is a celestial globe, with its 
 subdivisions, and on the other side the -pentapla, or five- 
 pointed star, or seal oi Solomon. Here are displayed the 
 man, 113, or diameter value to a circumference of 355, or 
 the Hebrew man, the celestial circle, and the fyrajuid. 
 The fcntapla, as it is drawn, is but the lined display of a 
 pyramid. It is a pentagon, as well as a rayed star. Retain 
 the rays, and then join the corners by lines, and the object 
 
 of setting forth a pyramid is at once apparent. The pyra- 
 mid involves all the measures, with the purposes thereof 
 enumerated in the text ; so the whole of this picture symbol, 
 though modern in its use, really disylaps the possession of
 
 312 Conclusion to Appendices. § 99. 
 
 tlie keys of the ancient knowledge in a most masterly 
 manner. 
 
 (3.) In '•'■ Land-Marks of Free Masonry,^'' by Oliver, is 
 to be found a frontispiece, which, for magnificence of con- 
 ception and for comprehensiveness of grasp, is most re- 
 markable. It is said to contain the symbolization of the 
 genius of free masonry, and is said to have been designed 
 by Br. Com. J. Harris, P. M. and P. Z. The author ven- 
 tures to state positively that if this was really designed by 
 this gentleman — that is, if he did not compile it from simply 
 traditionary sources — then, indeed, he must have been ac- 
 quainted with the elements of the quadrature as John A. 
 Parker has, since that time, set them forth, their astronom- 
 ical application in architecture, and their Biblical contain- 
 ment, in a fashion of such wisdom that if the author had 
 possessed it in its details, his efforts in this work could have 
 been relieved of suggestion. The reading of this frontis- 
 piece by its symbols, even with the imperfect ability of the 
 avithor, is always. a source of exquisite delight and unal- 
 loyed amazement. The representation is in a rectangular 
 oblong of tzvo squares. At the center of the top line there 
 is located the triple circle, or three circles, one within the 
 other, with an inclosed triangle. In the triangle is written 
 the Great Name m^T^ Reference to this symbol, § 82, 
 will show that it exhibits the origin of vieasures^ in the 
 form of the straight line one^ of a denomination of 20612, 
 the only numerical value of the perfect circle, the straight 
 line being male and the circle female, as the ^ is male and 
 the TySTS is female ; which 20612 is the Logos, or Dahvar^ 
 or Word. The triangle and circles indicate the pyramid 
 containing the use of the measures, with the three sets of 
 circular elements necessary to the display of its various 
 problems. This emblem is in an effulgence of light, above 
 the brightness of the sun, and the One of the word is the 
 holy 10, and circumference to 318, the Gnostic value of 
 Christ, whence this spiritual efTulgence. From this upper 
 essence of effulgence, a strong bar of light descends 
 obliquely to the foot of the oblong. On the one side of
 
 § 99- Conclusion to Appendices. 313 
 
 this all is darkness, and chaos, and confusion, containing 
 darkness, and dragons, and all deeps. It is "Oa^ female or 
 sin side. At the foot of the oblong is a pavement of squared 
 blocks, in cubes, alternating in black and white chequers, 
 indicatincr the female and male elements of construction ; 
 and on the dark side, this pavement is not made, but is in 
 confusion. At the foot, on the dark side, stands a little 
 cherub, striving to work out one of these pavement cubes 
 from a rouijh block or ashler, but without success. He 
 stands holding his chisel and hammer in a helpless sort of 
 way, as if having a dim idea of what is wanted, but as 
 lacking in the requisite knowledge for elaboration. The 
 other side of the bar of light is bathed in the essence of 
 wisdom and peace. On this side the foot has a completed 
 pavement of the black and white chequers, of a general 
 oval, indicating the measure of the surface of the earth. 
 Just opposite the discontented cherub is seated another, but 
 on the light side. He is looking with a pleased expression 
 at his brother in the obscurity. His right arm is raised, 
 and he is pointing with \\\'& forefinger, the rest of his hand 
 being closed, aloft up the bar of light to its source. This 
 forefinger thus pointing is the symbol of the Hebrew jod, % 
 or Jehovah, orthe number 10, whose origin is in the male- 
 female word mn% significant of the same number as ent- 
 anating from the deity name in the triangle above. His 
 left arm is thrown over as embracing two parallel upright 
 bars, inclosing a circle, denoting the circle in the square, 
 the measures of which have been revealed to man from 
 above. The parallel bars are supported on a cube, which 
 is one of the cubes of the pavement raised out of its place 
 to the level of the floor, and the upright bars are but the 
 extension of the sides of the cube. This is the cubical 
 stone, and the square of the bars is 6561, and the value of 
 the circle is 5153. The reading is instruction on the part 
 of the enlightened cherub to his brother, telling him that 
 from the geometrical elements, with the least one of a de- 
 nomination of 20612, located aloft, as the law of the Deity, 
 the measures of work have been revealed to man, and are
 
 314 Conclusion to Appendices. § 100. 
 
 under his control, as exhibited in the circle, the square, and 
 the cube ; that with these measures the cubical blocks 
 measuring the earth are to be formed. In this is the lesson. 
 The oblong then contains the sun and the moon and the 
 stars, as further being measurable by man through this 
 knowledge. In the center of the piece there flies, or hovers, 
 a female, as the genius of the whole. Her badge is on 
 her forehead, and it is the fcntapla, or five rayed star, 
 denoting, as shown above, the pyramid as the containment 
 of all measures. The moon, with the seven planets, repre- 
 sent the Garden of Eden woman, while the sun denotes the 
 issuance of lunar measures in terms of solar. 
 
 All this condition of things goes to show that the mystery 
 held, as not to be thrown open to the people, but to be re- 
 tained as the property of a class, and a caste, in the more 
 ancient days, may never have passed away ; but, to the 
 contrary, may exist even to-day, dominating the souls of 
 men, women, and children, by keeping them in perpetual 
 ignorance, and in religions feeding them on the worn-out 
 husks of faith, without any relief, by way of setting forth 
 actual connections between man and the Deity. 
 
 The Province of Ritualism. 
 
 § 100. How plainly can now be seen the origin or 
 source and reason of ritualism. Ritualism was not an 
 empty thing. The adoration of the Deity was simply a con- 
 stant reminder of man's dependence upon, connection with, 
 and knowledge of Him. The worship, then, was the ex- 
 pression under this or that form, by gesture, action, signs, 
 voice, dress, accompanied by visible symbols of some one 
 or more of the exact mathematical formulations, or geomet- 
 rical formulations, or numerical combinations, pertaining 
 to the known method of measuring the works of the Deity. 
 A conclusion of Sir William Drummond in CEdipus Ju- 
 daicus indirectly favors this view : " The priests of Egypt 
 and of Chaldea," he says, " had made a progress in the 
 science of astronom}'', which will be found more astonishing
 
 § loo. Conclusion to Appendices. 315 
 
 the more it is examined. Their cycles were calculated 
 with extraordinary precision, and their knowledge of the 
 most important parts of astronomy must appear evident to 
 all who candidly consider the question. But the people 
 appear to have been purposely left in gross ignorance on 
 this subject. Their vague and their rural years were 
 neither of them correct. The festivals were fixed accord- 
 ing to calendars made for the people, and the religious in- 
 stitutions were only calculated to confirm the errors of the 
 ignorant, The truths of science were the arcana of the 
 ■priests^'' because they were the sources of religious cultiis. 
 Thus ritualism was an intelligible rite, one to be under- 
 stood in all its parts and ramifications ; one in which there 
 was no possible deception as to the use of a symbol, to 
 those who could read the symbol. No danger then, or at 
 that time, of paying a worship to the thing. A carpenter 
 might as easily be taught to fall down before his draw- 
 knife or plane as a religious before the instruments by 
 which he copied the sums of his Father in heaven. In- 
 trinsically, one would be as silly and fruitless of good re- 
 sults as the other. It has been the gradual and finally 
 almost perfect extinguishment of the knowledge of the 
 origin of ritualism on the part of the ^r/e5/5 themselves that 
 has entailed a superstitious use on the part of the laity. 
 
 Ritualistic Symbols. 
 
 {a.) One of the most prized retentions among the Jews 
 of religious symbols are the T^phillin. They stood in 
 place of the cross and rosary of the Christians. They are, 
 in fact, but the means of exhibition of geometrical and nu- 
 merical qualities for setting forth the substance of Elohim, 
 Shaddai, or Jehovah, in His law of working. One of 
 them consists of a flat square to be placed on the forehead ; 
 on this is a cube, lined or divided oflf into four divisions. 
 It is the Adam or Garden of Eden square, as shown. On 
 one side of this cube is the letter C^, with three prongs ; 
 on the other, the same letter, with four prongs, the 3 and 4 
 of the golden candlestick, of the cross, and of the Parker
 
 3i6 Conclusion to Appendices. § loo. 
 
 problem; which, as 4^ = i6 -^ 3- = 9= 1777.77-f- ^ the 
 pyramid base, as to its circumference, in cubits. This 
 square is fastened upon the head by a band permanently 
 tied behind by a square knot, presenting on its face a 
 square face of a cube divided into four parts, as noting the 
 
 8 small cubes, necessarily going to make up a next larger 
 one. This band around the head is the circle pertaining 
 to the square and cube, with the quality of man contained 
 as 113, the circle being the counterpart 311. The other is 
 a similar square, with a simple cube, without letters. This 
 is to be fastened on the left and bared arm, the cube being 
 adjusted over the heart ; then the band fastening it is wound 
 7 times around the lower or fore-arm, to the hand, where 
 it is so interlaced in the fingers of the hand as to form the 
 letter £^, or Shaddai. 
 
 As simple as this contrivance is, it contains the elements 
 of a pure geometrical and numerical system, with its appli- 
 cation as a.system of measures to cosmical or God uses. The 
 fore-arm was esteemed to be th^ cubit value, or yl^wwa?^ — 
 that is, '-'■ viother of measures ;^'' and, as shown, the cubit 
 indicates the Parker value 20612, source of the Ddbvar or 
 Word. The wrapping 7 times around the left arm was 
 most likely the serpent of the Garden, which, as the letter 
 D (the snake), was numerically the number 9, the inter- 
 twined numbers of the tree of the Garden as i'^, or 7 and 
 
 9 (for character values). The noose around the arm, or 
 the upper part of the fore-arm, represented the mouth of 
 the serpent, or door of Indranee, or the womb of time. 
 The word Shaddai is, numerically, either by adding the 
 letter values, simply 314, or a circumference to a diameter 
 of one, or else by adding the letters (the d, because of 
 dagcsh, being doubled) 318, or a diameter to a circumfer- 
 ence of one ; or, by giving the character values as the let- 
 ters run, 381, or the half base side of the pyramid (the d 
 doubled by dagcsh). The numbers 7 and 9 intertwined 
 are 6t^, or counterparted 36 — St,, which are of Garden of 
 Eden use. 
 
 {p.) Again, as to the cross and rosary, at the same time
 
 § lOO. Conclusion to Appendices. 317 
 
 the plainest, simplest, and most embracing of all S3''mbols. 
 The cross is the symbol of the unfolding of the cube, which 
 represented the perfect circle 20612 taken off on to its 12 
 edges, the man on it representing the 113 : 355, or Melius 
 form. The rosary is a string of bunches of beads. There 
 are five bunches of ten beads each, making 50, which is 
 the letter H, or 5 raised to the letter J, nun, ox fish, or niH, 
 or Eva. Between each bunch there is a larger bead ; of 
 these there are 5, which is the letter H; or the productive 
 womb-letter of the Hebrews. These 55 beads close the 
 circle as the distinctively feminine part. But the circle is 
 only looped together at this point ; for the string of beads 
 is continued, and next comes a bunch of three beads, as 
 by themselves, then a large bead ; and then the string is 
 terminated by the cross with the man on it. The 3, and 
 then 55, are 355. Prefix the one bead, or read in their 
 order of bunching together, and we have 1355- Bend this 
 into the form of a circle, and we have 
 
 5 5 
 
 3 I 
 or 5135, or the woman. Place the Hebrew letters, and add 
 them, and there results 311, or counterparted 311 — 113, 
 the man-woman number. Read the other way, and there 
 results 5153, or the Parker circle inscribed in the square of 
 6561, as to which 5153 X 4= 206x2, is theZ^^^^z^^r or Word 
 number. In short, the rosary and cross, simply in this 
 form, represents the deepest underlying reading of the 
 Garden of Eden, and thus is the correct representative 
 symbol of the entire Old Testament ritual and knowledge. 
 This simply shows that to attack the ritual of the Roman 
 Church to the extent of this possession is simply to attack 
 the Bible itself. 
 
 How desperately blinding becomes a superstitious use, 
 through ignorance of such emblems, when they are made 
 to possess the power of bloodshed and torture, through or- 
 ders of propaganda of any species of religious cultus. 
 When one thinks of the horrors of a Moloeh, or Baal, 
 or Dagon worship ; of the correlated blood deluges under
 
 3i8 Conclusion to Appendices. § loo. 
 
 the cross baptized in gore by Constantine, as the initiative 
 of the secular church ; of Jewish faith and constancy, 
 amidst all suffering, the dearest treasure left by way of 
 symbol being the Cphillin; — when one thinks of 'all this, 
 and then that the cause of all has been simply ignorance 
 of the real radical reading of the 3foIoch, and Baal, and 
 Dagon, and the cross, and the fpkillin^ all running back 
 to a common origin, and, after all, being nothing more 
 than a display of pure and natural mathematics, although 
 and albeit of a Divine foundation, and of Deity creative 
 7ise, one is apt to feel like cursing ignorance, and to lose 
 confidence in what are called intuitions of religion : one 
 is apt to wish for a return of the day when all the world 
 was of one lif and of one knowledge. 
 
 The exhibition of facts, and the explanation of their cor- 
 relative uses, in this work, is finished. The author believes 
 it to be shown that the elements of construction of the pyr- 
 amid, and their use, agreeably to the intention of the ar- 
 chitect, have been proved, and that these are shown to be 
 used as the foundation of the Bible structure from the first 
 chapter of Genesis to the closing scenes of the New Tes- 
 tament. But while these elements are rational and scien- 
 tific, and in the Bible rationally and scientifically used, let 
 no man consider that with this discovery comes a cutting 
 off of the spirituality of the Bible intention, or of man's 
 relation to this spiritual Ibundation. Does one wish to 
 build a house ? No house was ever actually built with tangi- 
 ble material until Jirst the architectural design of building 
 had been accomplished, no matter whether the structure was 
 palace or hovel. So with these elements and numbers. 
 They are not of man, nor are they of his invention. They 
 have been revealed to him to the extent of his ability to 
 realize a system, which is the creative system, o^ ihe. eternal 
 God ; open at all times to man for his advance into its 
 knowledge, just in the measure of his application and 
 brain abilit}'^ ; free to all as is the water we drink and the 
 air we breathe. But, spiritually, to man the value of this
 
 § loo. Conclusion to Appendices. 319 
 
 matter is, that he can actually, in contemplation, bridge 
 over all material construction of the cosmos, and pass into 
 the very thought and mind of God, to the extent of recog- 
 nizing this system of design for cosmic creation — yea, even 
 before the words went forth, Let there he! It is the reali- 
 zation of the existence and mental workings of the Divine 
 mind, by means of the little primal cube and its circle, 
 which to us are tangible realities, that goes to prove to man 
 that his soul lives, and will continue to live ; and thus he 
 may take little heed for his body, which is, however, ex- 
 quisitely constructed, but a mask, dulling the finer powers 
 of his mental whole. The author has set out to find the 
 truth. To the extent of his abihty, let hira state his re- 
 sults. The best and most authentic vehicle of communica- 
 tion from God to man, though many exist, is to be found in 
 the Hebrew Bible, the preservation of which, in its exact- 
 itudes, can only be ascribed to a spiritual supervision. But 
 the value of this would have been lost had it not been for a 
 like preservation of a real monument of the practical ap- 
 plication of the Bible secret. This monument stands to-day 
 on the banks of the Nile. But, by turn, this also would 
 have been useless to man had there not been a ■preserva- 
 tion of the actual primal measure, which has been shown 
 to be the British inch. Through the lapse of ages this has 
 been preserved to exactly fit to the solution of the whole. 
 None but a spiritual power could so have preserved all 
 these means of restoration of the ancient (and eternal) 
 wisdom. The use of the Biblical method of display of the 
 Divine cosmogony is to be found pure and truthful in some 
 of the grandest ritual features of the Roman Catholic 
 Church. There is no gainsaying it, for it is so. That 
 church uses a ritualistic symbolization, in which the idea 
 of life and the progression of life predominates ; while, 
 however, it has been, and is, perhaps, in possession of the 
 more radical methods of disphw. On the other hand, 
 Free Masonry holds to the elemental working by geomet- 
 rical disTpVay — i. e., by the harder, more exact, and purer
 
 320 Conclusion to Appendices. § loo. 
 
 outlines of the same system of problems. As between the 
 two systems, in thcindtimatc^ there is no difference at all. 
 Lord God of a common humanity ! loosen the shackles 
 from the bodies and enlarge the souls of men. Let free- 
 dom be the seed, and let wisdom, love, peace — but, above 
 and before all, charity — be the harvest. And 
 
 so MOTE IT BE.
 
 ADDENDA. 32I 
 
 ADDENDA. 
 
 (A.) (i.) There is a value produced so beautifully, and yet 
 so curiously, that it is well worthy of mention. In § 82, on page 
 155, the elements of three circles are given as springing one out 
 
 of the other. Of these, as to (3.) its height is to its — base side 
 
 2 
 
 (full base side being 4S6, the standard height of the pyramid) 
 as 309.3970502-I- : 243 feet, and its — base diagonal is 343 653895 -[- 
 
 feet, or 4123.846740-}- inches. The mode of procuring this — 
 
 base diagonal is - ^486^ X 2= 343-6538954-, and this multi- 
 plied by 12 = 4123.846740-!- inches. // /s seen that these ele- 
 ments are derived frotti the mass ineasiires of the pyramid^ 
 "ivhich are derived directly from the Parker forms. 
 
 The length of the king's chamber is sta^tdard \\2Z.a^^ and en- 
 larged 4125.29396 tenths of inches. Take these as the extremes 
 to find a mean proportional, and we have 4122.4 X 4125.29396-f- 
 = 1 70061 1 1 82074-}-, and the square root of this quotient is the 
 7nean proportional required^ or 4123.8467-1-. 
 
 So it is seen that the — base diagonal of pyramid elements 
 
 No. 3, derived from the mass of the pyramid, as shown, is the 
 mean proportional between the standard and enlarged lengths of 
 the king's chamber ; a most magnificent result, as showing the 
 
 architectural design, one may say, beyond question. This — 
 
 base diagonal value is exceedingly close on to the radius value of 
 the circle in which these relations are shown, for that radius is the 
 
 — of the sum of the extremes, and the —of 4122.4 -j-4125. 29396-}- 
 2 2 
 
 ==:4i23.84698-f. 
 
 Take the diagram, page 138, and while it gives the general 
 base of values for the interior works of the pyramid, it is also the 
 form for exhibition of the two lengths of the king's chamber; for
 
 322 ADDENDA. 
 
 AD becomes 4 1 2.529396-1-5 D B becomes 412.24, and CD becomes 
 the mean proportional between these extremes of 412.3S467 ; all 
 to a radius of the circle 412.3S469S-J-. The wonderful value of 
 circular elements No. 3, as connecting the mass of the pyramid 
 with the interior construction, is thus clearly unfolded ; and it 
 becomes plain why, around these circular elements, in 4th Gen- 
 esis, it is found that so many of the prominent Biblical names 
 {for numbers) concentrate. 
 
 (2.) Another, but symbolic or sympathetic harmony, can be 
 shown. The uses of the pyramid measures, for one purpose, are 
 evidently astronomical ; and while the symbolization of the origin 
 of measures, as the primal one, or cube, as relates to pyramid 
 construction, is set forth in the triple circle inclosing the pyramid 
 and \}i\Q. great name, this great name for one meaning is also that 
 of the pe7'J~ect one, pictured as a circle, with a diameter drawn 
 through it, as the year circle. But this year circle had three 
 values, as 355, 360, 365 ; wli^refore this symbol may be taken 
 also as expressive of these three year-circles, containing, as they 
 do, the Word ; which Word is expressive of the year circle, and 
 is productive of all things. In these connections, it is well 
 enough to remark that the letter form XX\7V was held as unpro- 
 nounceable, because it was in fact no word to pronounce, its 
 meanings being held in symbols. 
 
 (i?.) It is seen that there is in the Hebrew Bible a combina- 
 tion of the pyramid measure elements with phallic forms and 
 uses, under the guise of the man-wo/nan. Is not this combina- 
 tion expressed by the Sphinx located at the base of the pyra- 
 mid? The author has seen it somewhere stated, as a reproach 
 of obscenity against the ancient Egyptians, that the head of 
 the Sphinx is disfigured by its locks of hair being composed of 
 phallic signs. May it not be that the Sphinx was connected with 
 the pyramid as part of its reading.? And may it not be barely 
 possible that there is some passage-way connecting the Sphinx 
 with the interior of the pyramid.? (Suggested by a friend.) 
 
 (C) The Adam, or 144, relation is ihe fufzdamenfal one, 
 carrying the pyramid relations into the Bible ; and it can be used 
 by scale., for diflferent proportions, and is susceptible of any kind 
 of scale divisions or subdivisions ; for instance, imder the devel- 
 oping form of Arets, Earth, or 12, it is 12 2, or 144, giving an 
 area value, which can be extended by use of the factor 6 to a 
 larger form, while as 144 it may be used as a line on which a 
 square is to be raised, as 144 ■•^. This, as inches, gives a value
 
 ADDENDA. 323 
 
 of r3 in jfect^ whereby the word Arets^ earthy or 12, may be 
 taken as tlie Adam form reduced io feet. But as 1442, or a 
 square of 144 to the edge as a center square, then this enlarged 
 to jfour squares of 144 to the edge, each, gives a larger square 
 of 144 X 2 = 2SS to the side, or 2S8 X 4= 1152 (or the letters 
 INRI, as numbers 1521, read in a circle., or where the 144^ (the 
 interior square) is subdivided into four parts, and these letters are 
 placed, consecutively, i in each small square (rtiaterially reading 
 as earth., air.,Jire, and water., the containment of the universe) ., 
 these can be read as 
 
 I 5 
 
 I 2 
 
 or 1 152), the circumference of the larger square. But in inches 
 288 -r- 12 = z\ feet., and this represents the side of base of the 
 pyramid., for its measure is diameter to a circumference of 2400 
 (or 2\) feet. In this connection it is observable that the man- 
 cross and triple-circle Jehovah symbols are essentially the same. 
 
 (/?.) It is altogetlier probable that the key powe" oUicraldric 
 display is but a part of, and a vestige of this ancient system of 
 esotcrism. 
 
 (Zi.) The three motattains in one to the top of which Moses 
 was sent up, was in the plains of Moab; and Aloab may be 
 taken as a sheet ox plain of water. The narrative description 
 may be changed to a magnificent picture. The lower mountain 
 of the three was Ibarif?z., or Hebrews., or heaven dividers., or 
 division of the heavens., and can be taken as the subdivided cir- 
 cle of 360 degrees. The equivalent of this circle laying, as the 
 base of Mt. Ibarim, on \\\e. face of the waters., or shimmering 
 sea, may be had as a square., or as a floating ark. Over this 
 let the brilliaiit arch of the sun be bent as a bozv., which is Mt. 
 Nebo, as including the wisdom behind the sun; and let this be 
 drawn as the rainbow., showing the seven primary colors. It was 
 on the summit of this that Moses went up onto the reviewing 
 .point., or onto Mt. Pisgah. He may be taken as Enosh^ or 365 
 — I =364, or Son of Alan., or, again, as the Holy Spirit of 
 Wisdom under the form of a Dove (used in the flood picture as 
 355 -f-5 = yi)'" This is a second termination of measures, or 
 power of measuring, and is marked by the recui'rence of the ark 
 floating zipon the waters. 
 
 (7^.) Let no man suffer himself, for a moment even, to think 
 that the correlative likeness of the Son of God, the manflre., 
 fes-wa^ to the sun in the heavens, as embracing it, is in any wise
 
 324 ADDENDA. 
 
 a disparagement to the Holy Scriptures. A subtle force of life 
 is traceable through grosser material forms, in what we call the 
 phenomenon of tnoiion^ which becomes manifested in the ap- 
 pearance of Jirc ; and this includes what we call electricity^ 
 mag7zetisin^ mesmericni^ and further back a power of spiritual- 
 ism. The fire of the sun is a part of the source oi spiritual life 
 as well as of the life given to what presents itself to us as ma- 
 terial. But it is the antagonism, between cold and Jire {ox dark- 
 7tess and light)., thi^ough which the phenomena of the tnodifi- 
 cation of motion., or of life, manifest themselves. Take the 
 earth as situated at a certain fixed mean limit from the sun, where 
 it is balanced between the effects of cold and heat. Circular 
 motion on its axis once imparted to the mass, by reason of the 
 alternating effects of cold and heat on this mass, not only will 
 revolution on its axis continue as a mechanical result, but the 
 pathway of the eai"th in its orbit around the sun, will also result 
 as a concomitant effect ; and this will (between certain extreme 
 limits) be utilized cosmically by more subtle mechanical causes 
 to other cosmical effects. (See Force in Nature, Section IX.)
 
 SUPPLEMENT 
 
 TO 
 
 SOURCE OF MEASURES. 
 
 SECTION I. 
 
 MEASURES. 
 
 The Egyptians, Hebrews, Romans, and probably the Hindoos, 
 were indebted for their linear measures to one particular measure 
 which, as can be shown, has come down through the ages unim- 
 paired, viz., 
 
 TTie British inch. 
 
 This measure had its inception in the numerical integral re- 
 lation of 
 
 Diameter to circuttiference of a circle. 
 
 The area of a square of 8i to the side being 6561, the area of 
 the circle inscribed in that square is 5153 ; and by a simple geo- 
 metrical truism the diameter of a circle being taken as 6561, its 
 circumference will be 5153 X 4= 20612. 
 
 All these measures were derived from this formula 6561 : 
 20612; as to which the geometrical relation of diameter to cir- 
 cumference is an obedience. 
 
 In practical application of these numbers on a measuring stick 
 or rod, they were attached to that actual measure which to-day is 
 styled the British inch; proved by the standard yard measure 
 
 (3)
 
 SUPPLEMENT. TO SOUPCE OF MEASURES. 
 
 constructed by Captain Kater, in the year 1824, from the British 
 standard, and presented by the British government to the magis- 
 trates of Edinburgh. (Life and Works at the Great Pyramid, 
 by Piazzi Smythe.) 
 
 The reason why the value of the British inch is as it is, is be- 
 cause it was just that value which, on application, would make 
 material cosmic magnitudes correlate with the times and distances 
 of the planets of the solar system, under a law of construction 
 which, by the ancients, was esteemed to be, and doubtless was, 
 divine. 
 
 The best restorations of the ancient Egyptian cubit value were 
 those made by Sir Isaac Newton, from many measures taken of 
 the works of the great pyramid of Egypt by Professor Greaves, 
 of Oxford, England, and those made by the savans of the French 
 expedition in Egypt, from a great number of measures taken of 
 the rooms and passage-ways, as to their heights, lengths, and 
 widths of the catacombs of Osimandya. 
 
 Sir Isaac Newton (Smythe's Life and Works) found this re- 
 stored value, in terms of the British foot to be 
 
 1.7 1 7 feet. 
 
 The French found it to be, in terms of the French tfieter, 
 
 .523524 77ieier. 
 
 The meter \)€vcig 39.37079-1- British inches, then .523524 X 39- 
 
 37079-}- = 20. inches, which, divided by 12, gives its 
 
 value in British feet, as 
 
 1. 7176294- feet. 
 Take the above mentioned circumference value as 20612 inches. 
 Divide it by 12000, and there results, in terms of British feet, 
 
 I. 717666+ feet : 
 and this shows the origin of the ancient cubit value as derived 
 (in this form of 20612) from British inches. 
 If, however, we take the form 
 
 20612^ 16 36643. 55-f- 
 
 6561 ) 9 1 1664.
 
 MEASURES. 
 
 and divide this raised diameter value by looo, there results: 
 
 664 
 II. — 
 
 By the very best restorations of the Roynan foot (see as to the 
 
 value of the Roman foot, in terms of British measures, "Great 
 
 Pyramid," page 25, by Rev. John Taylor) its value proves to be 
 
 in British inches, 
 
 664. , 
 II. — mches', 
 
 showing a common origin. 
 
 The British foot of 12 inches was evidently taken as the recti- 
 fication of a circumference value in terms of the above formula, 
 of 12 to a diameter oi 3.819716-I- feet. 
 
 We have then — 
 
 Diameter 6561 ; circumference 20612. 
 
 20612 _,..,. , 612 _,..,. , 
 
 British inches, or 20. — British inches, 
 
 1000 
 
 = I cubit. 
 
 6561 X 16. , 664. 
 
 — inches ==^ 11. — inches, 
 
 9000 
 
 = I Roman foot. 
 
 • 1 • r 8197164-- , 
 
 12 inches circumference to 3. — inches diameter, 
 
 = I British foot.
 
 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 SECTION II. 
 
 ARCHITECTURAL DETAILS OF MEASURES OF THE INTERIOR OF THE 
 GREAT PYRAMID OF EGYPT, IN TERMS OF THE MEASURES ESTAB- 
 LISHED IN SECTION I. 
 
 The forms (of circumference to diameter of a circle), viz : 
 
 20612 : 6561, 
 utilized in value as British inches, were the basic measures used 
 to construct this pyramid in all its parts. Take the forms, 
 20612 is to 6561 
 
 47ooi-(- 
 as 64800 IS to 20626.--^ '- 
 
 as inches. Divide by 1000, and there results: 
 
 . . 612 . ^ 561 
 
 (i.) 20. — IS to 6.^^— 
 
 , . ^ 800 . 62647001 + 
 (2.) as 64. — IS to 20. 
 
 612 
 where (i.), 20. — inches is the cubit value, as a circumference, 
 
 62647 I 
 and in (2.), it is seen that a dia/fieter xAue of 20. lilL inches, 
 
 approximates very closely to it. Upon these two forms depended 
 
 the entire construction of the pyramid, in measures of inches, 
 
 feet, yards, cubits, miles; of days, weeks, months; of periods 
 
 of the moon and of the earth ; of the size of the moon and of 
 
 the earth, with the distance to the sun, as springing from them. 
 
 To more fully appreciate the following details, which are to 
 some extent supplementary (especially as to interpretation of use 
 of lines), reference is made to Source of Measures, by the au- 
 thor. This is simply a development from the grounds and meas- 
 ures there laid down. 
 
 The height of pyramid to twice its base-side has the propor- 
 tion of diameter to circumference of a circle. 20626. '°°^
 
 MEASURES OF INTERIOR OF GREAT PYRAMID. 
 
 (variation on 20612), 2.% feet divided by 27 = 763.943333980-}- 
 
 47 -f- 
 feet, is the length of side of base. This is the same as 20626. 
 
 X — =36669.^-^^^^-^ inches, equals the entire circumference 
 
 9 
 
 of the iDase of the pyramid; or for the base side in feet 763.- 
 
 943333980-!- feet. The height, therefore, was 486. — feet. 
 
 As to the pyramid being truncated, see Appendix. 
 
 The interior works were referable to the slope line of the ex- 
 terior, to the base, and to the vertical axial line, or center line, of 
 the mass ; therefore, the diagram, annexed hereto, exhibiting in 
 vertical section the half of the structure, is sufficient for lengths 
 and heights. 
 
 The entrance passage as to the center of its floor, longitudi- 
 nally was set off a distance to the eastward of the center of the 
 
 42190-1- r r   •   o 
 
 base side, 24.^^^ — - — ^feet, for reasons given in section 7, Source 
 
 of Measures — a token of the geometrical origin of the shape of 
 the entire mass. 
 
 The passage-ways, as to their dimensions, are constructed, it 
 would seem, on mean measures, affording a very small, limited 
 variation of values, running to extremes on a mean. This is true 
 also, notably, of the queen's chamber, whose angles at the cor- 
 ners, as shown by Piazzi Smythe, are not right angles. The 
 lengths of the passage-ways afford also a margin (very small in- 
 deed) over and above a mean of length. Within the limits of 
 these extremes, by very nice adjustment, a very great number of 
 comparative and correlating measures were obtainable. Ex- 
 ample: 206.-^ inches equal 10 cubits, whereas 206. inches 
 
 denote a diameter to a circumference of 648. This might be in 
 a scale of feet for inches, though as a fact the margin of differ- 
 ence would then be larger than is the fact. The margin in 
 inches may appear in tenths, but in feet it would likely appear 
 in hundredths, or perhaps thousandths. This feature of pyramid
 
 8 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 construction is shown by the measures of Piazzi Smythe, which, 
 it may be said, are throughout most remarkable for their exacti- 
 tude. 
 
 SPECIFICATIONS. 
 
 (i.) The pyramid is based on a pavement which is intcluded in 
 
 6t 2 
 
 the mass of the structure. Its thickness is 20. — inches, or one 
 
 7 i't5-|- 
 cubit, or i.^^— ^ — — feet. 
 
 This is a circumference to a diameter of 6. ^ — inches. 
 
 (2.) Line aa}- is the one-half base side of pyramid, and equals 
 
 47001+ 16 
 
 m length 20626. inches X — equals 381.971666990 feet. 
 
 12 72 
 
 or III. cubits, or 4583.660003880-I- inches. Actual 
 
 measure by Howard Vyse, 382. feet; difference .02 of a foot. 
 
 Note. 381. "'" x equals the length of the king's cham- 
 
 200 
 
 ber in feet. Also this distance is diameter to a circumference 
 of 1200 feet, or 14400 inches, or area of one square foot multi- 
 plied by 100 ; or, as minutes, it equals 10 days in time measure. 
 
 (3.) Line a^ c is the vertical height, above the base of the 
 pyramid, of the point of intersection of the floor line of the de- 
 scending passage-way with slope line of the structure. Its length 
 
 is 31 cubits, or 20. — x 31 = 638.— inches, equal to 53.-^^— 
 feet. The same measure computed by Howard Vyse, 53.1975 
 feet (Source of Measures, p. 119). The line a c to the foot of 
 this line is 41.820641 II i-f- feet, or 501.847693334- inches. These 
 lines are in the following proportions to each other : a^ c : a c : : 
 6561 : 5153, or as the area of the square of 81 is to that of its in- 
 scribed circle. In the scale of inches for feet, they very nearly 
 represent the relation of vertical height of descending passage-
 
 MEASURES OF INTERIOR OF GREAT I'YRAMID. 9 
 
 way to its breadth, so much so as to proportion, that these given, 
 viz., 6561 : 5153, may be taken as a guide for the dimensions of 
 that passage. 
 
 Note. The height values of thie descending passage-way as taken (7.), 
 are height vertical to horizon 52.7S95656+ inches, and the perpendicular 
 to the incline of the passage 47.25419656+ inches. By using the propor- 
 tion given, to find the breadth we have 6561 : 5153 : 52.7895+ : 41.- 
 460849+ inches for breadth of passage; or, for dimensions of descending 
 passage-way we have — 
 
 Height vertical, 52.7895656+ inches. 
 
 " perpendicular to incline, 47.25419656+ " 
 Breadth, 41.460849+ 
 
 The dimensions of this passage-way may show a change of values on 
 these, by the biased construction of its sides, and top and bottom, of: 
 
 ^18700722 ^ , / , r 
 
 (a.) For vertical height take - — ^^^^ — =53.051620+ (where 31.8309722 
 
 is diameter to a circumference of 100): then we will have as a variation — 
 
 Height vertical, 53.051620 inches. 
 
 *' perpendicular to incline. 47.488772+ " 
 
 Breadth, 41.666666+ 
 
 714.1 C9426 , , , , 
 
 [b.) For vertical height take , - = 52.359904+ (where 314.159426 
 
 is circumference to a diameter of 100): then we will have as a variation — 
 Height vertical, 52.359904+ inches. 
 
 " perpendicular to incline, 46.8695884+ " 
 
 Breadth, 41,1233939+ " 
 
 Suppose the arithmetical mean of {a) and [b.) is used, as — 
 
 Height vertical, 52.70576+ inches. 
 
 " perpendicular to incline, 47.17918+ " 
 
 Breadth, 41.39502+ " 
 
 now the measures of Piazzi Smythe show a much greater limit of accom- 
 modation than here required. 
 
 The line «" aS is shown to be (8.), 251.71412+ feet; or, numerically, tl\e 
 square root oi one mile in inches. ^^251.71412+ =501.7111953, and this 
 is a very slight variation on the value a c, or 501.S476+ inches. So, also, 
 the line /' d, see diagram of part of descending passage-way, is 14.842233+ 
 inches; this divided by 12= 1.23685+ feet; showing a very close agree- 
 •ment with the floor line of the ascending passage-way, proportionally, 
 that line being 123.6830+ feet.
 
 lO SUPPLEMENT TO SOURCE OF MEASURES. 
 
 (4.) Line a'' aMs the ^it;^r line of the descending passage-way, 
 
 , . 62647001 -j- . , , 
 
 and IS 20. inches X 200, equal to 41 25. 2 94003493 -f- 
 
 inches, or 343.774500291-1- feet. Same measure by Howard 
 
 Vyse " about 4126 " inches. 
 
 Note. This, as seen, is a diameter line, and gives a circum- 
 ference of 1080 feet, or 12960 inches, or' 10 times ojie square 
 
 yard, or — of one solar day. 
 400 
 
 The length of this line is 10 times the length of the king's 
 chamber. The Hne ^ ^' equals 100 feet, or 1200 inches. Com- 
 pare with (2.) " Note." 
 
 (5.) Line a^ c^ is the distance from the floor line of the de- 
 scending passage-way to the vertical axial line of the pyramid. 
 Its length is 32.4237769849+ feet, or 3890.853238188+ inches, or 
 18.87664+ cubits. 
 
 Note. Though this distance may be relied on as architectur- 
 ally correct, no interpretation can be given of the line. As a 
 whole, it is cut by the wall of the subterranean chamber. 
 
 (6.) The key to the works above the descending passage-way 
 rests in the value of the line b d, or on the perpendicular let fall 
 from the roof line on to the floor of the horizontal passage-way. 
 The line a^ b is parallel to the exterior slope line of the structure. 
 
 The length of this line ^^is 3.16227766+ feet, or 37.94733192 + 
 inches. 
 
 Note. The interpretation of this line is very remarkable. 
 Form o( circumference to diameter is 20612 : 6561 as said. 
 Circumference to a diameter of i foot, is 3. 141 594269+ feet. 
 Diameter to a circumference of 10 feet, is 3.1830972249+ feet. 
 The mean proportional htiweevx these values is (as stated), 
 
 3. 16227766+ feet. 
 Now this last value is the square root of lo : in inches, as 
 37-94733192 + , it is the square root of 
 
 1440 inches.
 
 MEASURES OF INTERIOR OF GREAT PYRAMID. II 
 
 The half base side of the pyramid (2.), is seen to be a diam- 
 eter to a circumference of 
 
 14400 inches. 
 Thus the relation becomes manifest. But as the half base side 
 
 equals   of the length of the king's chamber, connection with 
 
 that is shown. And as the length of the descending passage-way 
 is shown (4.) to be 10 times the length of the king's chamber, 
 connection with that is shown. Therefore all of them are con- 
 nected with the square of 12 inches, or 144, both as a linear meas- 
 ure and a measure of time, because 1440 is the minutes in 24 
 hours. For an immediate check upon this value, the dimensions 
 of the descending passage-way are now given. 
 
 (7.) From the data in (6.) the height of the descending passage- 
 way, perpendicular to its inclim^ will be 
 
 47.25419656-}- inches. 
 Piazzi Smythe's measure of the same, as per his tables of ac- 
 tual measure, 
 
 47.24 inches. 
 Difference : 
 
 .014 of an inch. 
 Its vertical height will be 
 
 52.78956568-}- inches. 
 
 Note. At the foot of the descending passage-way in actual 
 construction, as per Howard Vyse, the mason work is set back 
 and down as indicated by the dotted lines (also see Perring's 
 Plates), so that the actual vertical height of the passage to the 
 subterranean chamber is contracted or reduced from the descend- 
 ing passage way, to 
 
 3 feet, 
 or 
 
 36 inches; 
 which accords again with contents of note to (6.), because 36
 
 12 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 inches is i yard. Its area is 36^ or 1296 inches, and 1296 X 4 = 
 
 "5184, the of I solar day; thus making the yard numerically 
 
 1000 
 
 a base for the correlation of distance and time measures. 
 
 (8.) The Une a*' a^ extending from the intersection of the roof 
 line of the descending, with the floor line of the ascending pas- 
 sage-way to the vertical axial line of the pyramid, is the base 
 line of construction of all the upper works. 
 
 Its value is 
 
 251.714123560+ feet, 
 or 
 
 3020. 569482 7 -|- inches. 
 
 Note. The interpretation of this line is, that it is the square 
 
 root of 
 
 63360, 
 
 which, as inches (by scale), is just the value of one mile in 
 
 British measure, or 
 
 5280 feet. 
 
 So that, all the upper works embraced between the Hnes a*- a^ 
 
 and the vertical axial line of the pyramid, viz. , a^ a^, are included 
 
 in a square area denoting i mile British. As a check on this 
 
 line, Howard Vyse gives the line a* b as 247.7 ^^et. It is 247.- 
 75265939+ feet. Difference .05 of a foot. But the accuracy of 
 this line is checked back, again and again, by the coming to- 
 gether of all the lines of the upper works. 
 
 (9.) The consideration of the contents of (8.), leads first to the 
 
 measure of the line a^ a*. This line is in length 
 
 137.5098001 1 64-f- feet, 
 or 
 
 1650.1176013968-I- inches. 
 
 Note. This line is 4 times the length of the king's chamber. 
 Its main interpretation is, that as inches it is a diameter to a cir- 
 cumference of 5184 inches, or the number of inches in 4 square 
 
 yards, or the exact value of the of one solar day in thirds. 
 
 -^ 1000 
 
 The connection between this line and «* a^, noted in (8.), is re-
 
 MEASURES OF INTERIOR OF GREAT PYRAMID. I3 
 
 markable. The extremes of the British long measures are the 
 inch and the viile, or, say, the cubic foot of 12 inches, and the 
 cubic mile. Then 12^ and 5280' represent these extremes. Per- 
 forming the operation we have 
 
 1728 and 147197952000. 
 Dividing the one by the other, we have a quotient of 
 
 85184000. 
 Dividmg by 80000000, and we have a quotient of i, with a re- 
 mainder over of 
 
 5184000, 
 
 which, as thirds, is just one solar day. That this value thus 
 found was used for this showing, to connect the line a^ a^, with 
 a^ a®, which last as seen is a diameter to a circumference of 5184, 
 seems positively to have been the case to the author. It does not 
 seem that by the system of the ancients, our method of multipli- 
 cation and division was used, but rather addition and subtraction. 
 In this view, having the value 5280^ -r- 12^ as seen, the use would 
 
 have been 
 
 85184000 
 
 less 80000000 
 
 Remainder, 5184000 
 or I solar day value thus arising. Their method of use is yet to 
 be discovered ; but an example of a like use to get the value of a 
 line is shown in (10.). 
 
 Of this line, for verification, reference is made to Source of 
 Measures, where, not at that time being able to interpret any lines 
 connected with the roof line of the ascending passage-way, but 
 
 simply working with the forms 20612 and 20626. as nearly 
 
 in harmony with the found measures as possible, making a posi- 
 tively dependent use of Piazzi Smythe's measures as regards that 
 roof line and the upper works, the author arrived at the deter- 
 mination of this line to within so small an amount, viz., .0095 of 
 a foot (see page 136), that he at once accepted of this value as 
 without doubt, the true one. No attempt was there made at in-
 
 14 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 termediate exactitudes, from inability at that time to interpret any 
 meanings of lines which would serve as a guide to work back 
 and forth, checking results by the harmonies of relations. 
 
 (lo.) The line a^ d\ embraced between the north wall of the 
 
 grand gallery and the north wall of the queen's chamber, comes 
 
 next in order. Add to itself, as inches, the ^ of 206.12; or, 
 
 206.12+103.06 = 309.18. Add to itself, as inches, the 1/3 of 
 
 2647001+ , 2647001+ , \x2X^Qo ■?Q7oc:oi + 
 
 206. — — -^ ; or, 206. — ^-^ L +103,-^^-^^— —309.^^^-^-^— -^ 
 
 inches. Subtract one sum for the other, or, 
 
 3970501+ i8 
 
 309. 309. — ^=.2170501 of an inch. 
 
 Raise this by 1000 times, it equals 
 
 217.0501 inches. 
 
 Multiply this product by 7, or, 
 
 217.0501 X 7 = 1519.3507 inches. 
 
 This is the measure of the line «"</': and it is very observable 
 
 as being a difference founded on 10 cubits and its enlargement, 
 
 or the difference between the width, north and south, of the 
 
 queen's chamber, to which the line leads, which is 10 cubits, and 
 
 the width, north and south, of the king's chamber, which is the 
 
 I , • ^ , 12 . , . ^ 2647001 . , 
 enlargement on 10 cubits (206. — inches), or 206.—-^-^ inches. 
 
 Piazzi Smythe's measure of this line is 1519.4 inches; differ- 
 ence, .0493 of an inch. As another verification of this use, he 
 found that the line was a multiple of 217 by 7. 
 
 (11.) The line d^ a\ or the width of the queen's chamber, 
 north and south, is 
 
 206. — inches, 
 or, 10 cubits. 
 
 Piazzi Smythe gives for this measure, four measures; two 
 taken on the east side of the room, and two on the west side; 
 taken at two separate times. East side, 204.7, 206.5; ^^^st side, 
 206.3, 205.6. The taken measure, which is typical and in gen- 
 eral harmony, will, however, verify itself as correct. But bear in
 
 MEASURES OF INTERIOR OF GREAT PYRAMID. 15 
 
 mind that this chamber affords extremes of measures taken on a 
 mean. 
 
 (12.) The line «* a^, being the floor line of the grand gallery, 
 intersecting the vertical axial line of the pyramid at a*, is 
 
 156.8744966-!- feet. 
 This measure is 
 
 91.— cubits. 
 Piazzi Smythe gives this line as 156.9 feet: difference, .025 of 
 a foot. 
 
 (13.) Having this line with a^ d^ and d^ a\ as given in (10.) 
 and (ii.), we can determine the line c'^ a^ : and also, which is a 
 matter of the greatest moment, where the vertical axial line of the 
 pyramid cuts the floor length (north and south) of the queen's 
 chamber. 
 
 (i.) c' a^ is found to be 
 
 69.48255243+ feet. 
 
 (2.) It is found that the length c' a\ of the floor line of the 
 queen's chamber, lays to the south of the vertical axial line of the 
 pyramid, and its value is found to be 
 
 3.14159426+ feet; 
 or, cinumferance to a diameter of i foot ; or, it is the circum- 
 ference to a circle, inclosed in the area of one square foot, or 
 
 144 inches, or the — part of one solar day in minutes, or the 
 
 ID 
 
 other extreme of the British measures from the line a* a^, which, 
 as seen, is the square root of one mile as 63360 inches. 
 
 (14.) We can now work back to ascertain the value of the 
 
 line a* a", which is the length of the floor line of the ascending 
 
 passage. From the above data, as ascertained, its value proves 
 
 to be 
 
 123.68300698+ feet. 
 
 Piazzi Smythe makes it 
 
 123.683 feet: 
 
 difference, one may say, nothing. 20.612 X 6 = 123.672, show-
 
 l6 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 ing, in inches for feet, this value as modified on the typical form. 
 Or, also, 123.68300698-f- feet are 72.00-I- cubits. 
 
 (15.) Reverting now to the queen's chamber, d^ a' equals 
 
 206. — inches, or 17. ~^- feet, or 10 cubits, c^ a' equals 
 
 3.14159426+ feet, or 37.699131 12-|- inches. Then d^ c^ must 
 equal 
 
 168.42086888+ inches. 
 
 or 
 
 14-03507240-1- feet. 
 
 (i.) The part d^ c^, thus found, governs the height of the walls 
 
 of the room, as ^' d'' above (vertically) the point a^, or the line 
 
 a^ a' ; making this height, with the length d^ c^, a perfect square. 
 
 This height, therefore, is 
 
 168.42086888+ inches. 
 
 d^ \.o the floor is given by Piazzi Smythe as 
 
 14 inches. 
 Sum, 
 
 182.42086888+ inches. 
 
 Piazzi Smythe measured this full line as 
 
 182.4 inches: 
 difference, 
 
 .02 of an inch. 
 
 (2.) The value of the solar day, in thirds, is 
 
 5184000'" 
 
 The value of one sidereal day is 
 
 5169846'" 
 
 Take these values as represented by 
 
 184 ^ 
 5.—^ feet, 
 
 and 
 
 169846 . 
 5. feet, 
 
 or, in inches, 
 
 62.208 inches, 
 and 
 
 62.038152 inches. 
 
 The line m n, or the height of the gable, is thought to rep- 
 resent either one or both of these values; if the latter, then by a
 
 MEASURES OF INTERIOR OF GREAT PYRAMID. 17 
 
 bias on the roof line of this gable. Piazzi Smythe gives this 
 
 distance as 
 
 62. inches. 
 
 But, by correcting his computed measure of the floor line as 205.8 
 
 to 206.12, his value would have been 62.2 inches. 
 
 There results therefore, for greatest height, 62.208 inches. 
 
 168.420 " 
 
 14. 
 
 Sum, 244.628 inches, 
 
 or, 244.428 " 
 
 Piazzi Smythe makes the full height, 244.4 " 
 
 Difference, .028 inches. 
 
 Note, (a.) Considering the location of the queen's chamber, in its east 
 and ivest length, with reference to the vertical axial line of the pyramid. In 
 Source of Measures, page 126, it is stated that the center longitudinal line 
 of the floor of the descending passage-waj is set off to the eastward of the 
 vertical axial line of the pyramid 
 
 24.42190 feet, 
 or, 293.06280 inches. 
 
 Take now the length of the line a* a^, or, 251.7141235+ feet, as inches^ 
 
 251.7141235+ inches. 
 Add a sidereal day as taken, 62.038152 " 
 
 Sum, 313-752275 inches. 
 
 Deduct from above, 293.06280 " 
 
 Difference, 20.68947 inches. 
 
 Which gives the ^ width of the passage-way to the queen's 
 
 chamber. Its full width would be 41.37894 inches. 
 
 Making use of a solar day, instead of a sidereal day, and 
 
 this result would become 41.61864 " 
 
 The mean of these values is 41.4987 " 
 
 Piazzi Smythe's measure of the width of this particular 
 
 passage-way, immediately at the door of the queen's 
 
 chamber, is 4146 " 
 
 Difference, .04 •*
 
 1 8 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 il>.) Take the values found above of the distances from the center line 
 of the pyramid to the cast wall of the queen's chamber, made up (i.) by 
 the mile value in inches with the value of a sidereal day in inches, viz., 
 
 313752275 inches. 
 Divide by 2, and we have 156.S76137 " 
 
 And this shows that the value of the floor line of the grand gallery, or 
 the line a^ a^, wliich has been seen to be 
 
 I56.S7449 feet, 
 has its origin here in this queen's chamber, as worked in a scale of inches 
 for feet. The difference is .0016 inch. 
 
 We must not lose sight of the fact, that all the lines are on a bias, or, 
 give extremes on a mean of measures, to accommodate to a variety of 
 correlating measures. 
 
 (c.) From considerations of widths of passage-ways not shown on this 
 diagram [but see Source of Measures, page 127 («.), (i.)], the extreme 
 width of the passage-wa\'s, on the mean, is taken at 41.6666+ inches. 
 
 The mean, founded on the data given in note (3.), is 
 
 taken at 41.460S49 " 
 
 The least extreme then, if used at all, would be 41.265503 " 
 
 (Although all these measures are founded on data fully in accord with 
 the spirit of this inquiry, they lack for that kind of support, given in all 
 the other lines; in other words, they lack for interpretation.) 
 
 A verj' striking datum of width of passage-ways, as to what their 
 greatest extreme is, is had in Piazzi Smj-the's measure of the width of the 
 granite portcullis block in the mouth of the ascending passage-way. He 
 gives its measure of breadth at 41.6 inches. 
 
 Dift'erence between this and the extreme taken, .03 " 
 
 (</.) Now, taking the passage way to the queen's chamber, by means of 
 biased lines, to indicate a permissible limit between 41.6666-f- and 41.46-)- 
 inches, as to outside limits, the following data are derivable as to the east 
 and west lengths of this room, as they have relation to the vertical plane 
 parallel to these walls cutting through the axial line. 
 
 (i.) Take the distance of center of passage-way from the center of the 
 
 pyramid as above, 293.06280-I- inches. 
 
 . , , . / . , , ^ 41 .66666 
 Add Yz width of passage, = 20.83333-f- " 
 
 Sum, 313.89613 inches. 
 
 Deduct 20.612 X 2= 41.224 " 
 
 (a.) Difference, 272.67213 inches.
 
 MEASURES OF INTERIOR OF GREAT PYRAMID. 19 
 
 Take length of queen's •chamber at 226.21001 inches. 
 
 Deduct 2Q.612 X - = 41.224 " 
 
 {b.) DiflTerence, 184.9S601 inches. 
 
 From (a.) 272.67213 
 
 Deduct {b.) 184.98601 
 
 Remainder, 87.6S612 inches. 
 
 From this deduct "^ .20612 " 
 
 Remainder, 87.48 inches. 
 
 Showing that the distance from the west wall of the 
 queen's chamber to the plane of the vertical axial 
 line is, numerically, 87.4S 
 
 Plus .20612 
 
 Now, as to these, 20612 is our tvpical source of measures; and = 
 
 5 1 S3. 
 
 was astronoinically used as of one circular day to contrast with 
 
 ■^ 1000 1000 
 
 of one solar day, as 
 
 and with of one sidereal day, as 
 
 1000 
 
 51S4, 
 is 
 5169.846. 
 
 The difference between one circular day of 5153000''''' and one sidereal 
 day of 5169846'^', equals 4' 40'' 46'''. 
 
 Our typical form is diameter 6561, circumference 20612. Take the form: 
 
 6.561 \ 4 S.748 
 
 rx- = 
 
 20.612) 3 27.48266666- 
 
 where 27.4826666 is taken as a time measure of the moon in the measure 
 
 of circular days. Reduce to solar time, thus: 
 
 5153000 
 
 27.482666+ X = 27.3183220164+ ; 
 
 518^000 
 
 or, 27d. 7h. 38' 23'' \'" 20"''. 
 
 Add, 4' 40'' 46''' 
 
 the above-stated difference between a circular and sidereal day, and there 
 
 results: 
 
 27d. 7h. 43' 3^' 47'^' 20^'^^ 
 
 or the exact time of the moon's passage around the earth. (Parker's 
 
 Quadrature, page 116.)
 
 20 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 Now, above, in the value S7.48 inches, we find we have, numerically, the 
 exact diameter to the base of this time value, viz., 2'j ./^S26-\- . 
 
 It seems, considering the premises, and the exactitude of the results, 
 tiiat there is here an approximation to the design of the architect. 
 
 {e.) The length of the queen's chamber taken, is 
 
 226.21001 inches. 
 
 Piazzi Smythe gives this length measuring the north side of the room, 
 
 at 
 
 226.5 inches. 
 
 But says he judges a rough probable approximation to be 
 
 226. inches, 
 giving a latitude of the difference. 
 
 \f.) Just as we see that the upper lines seem to spring from conditions 
 worked out by, as it were, anticipation from below as one proceeds up- 
 ward, so there is a most remarkable showing of this kind with relation 
 to this taken value of the queen's chamber length of 
 
 226.21001 inches. 
 Take the value of the length of the floor line of the ascending passage- 
 way, viz., 
 
 123.68300698. 
 
 In inches this is 1484.19608376-I-. 
 
 In cubits 72.00640S1. 
 
 1 4S4. 19608376+ inches is diameter to a circumference of 
 
 4662.7419064 inches; 
 or, of, in cubits, 226.2149-)- cubits; 
 
 working out this queen's chamber length, in inches for cubits, to within 
 
 .005 of an inch. 
 A leading idea pervades the measures used in this chamber, viz., that 
 the}' are pure circumference values connected W4th the typical form 20612. 
 The breadth of the chamber 206.12 inches; its {east and west) length de- 
 rived IVom a cubit value; the uses of the sidereal, circular, and solar day; 
 and so on, distinguish it thus. This is in contrast with the measures of 
 the king's chamber, which are as follows: 
 
 612 • 
 
 (16.) The typical form is 20. inches from 20612: the modi- 
 fication is 20. ^ —, a diameter value (an enlargement on i 
 
 cubit). On this last form all the measures of this chamber are 
 founded.
 
 MEASURES OF INTERIOR OF GREAT PYRAMID. 21 
 
 . 2647 . , 
 
 {a.') Breadth 206. inches; 
 
 diameter to circumference of 648 inches. 
 
 15204-4- . 
 (/;.) Length = breath X 2= 412.-^! inches; 
 
 diameter to circumference of 1296 inches, or i square yard, or 
 
 the y^ of 5184, characteristic of the solar day. 
 
 647001 192 1820 inches. 
 
 (r.) Height 2062. X = 229. 
 
 1728 
 
 T^- • o 1 , I r \ /: 28 inches. 
 
 Piazzi Smythe s measures of (a.) • 200. 
 
 {b.-) 412.5^ 
 
 2 
 
 Howard Vyse's " (r.) 229. 
 
 The floor Hne of the king's chamber, or the line k a^ is, verti- 
 cally, by Piazzi Smythe, 7 inches above the intersection of the 
 floor line of the grand gallery with the vertical axial line of the 
 mass. 
 
 (17.) The length of the line k d^ is taken at 330. inches, 
 
 differing as being less than Piazzi Smythe's measure by .16248 
 of an inch; but he says 330.3^= inches. 
 
 330.13752 + 206.2647001 (=^' a^) ^ 536.4019+ inches: 
 for which see Source of Measures, page 138. 
 
 Closing these specifications, an interesting note may be made 
 of the variety of values to be found within very narrow limits. 
 By this system of measures, taken astronomically, 
 
 ^31415942.69+ X 2 = 62831885.38 equals 7926.^^-^ 
 or the miles equatorial diameter of the earth. Now take the line 
 /^' b^ : it is in length 13.61519648-}- feet; modify this by the addi- 
 tion of .00983206 of a foot, making it 13615 19648, numerically. 
 
 12 g /- 
 
 1361519648 X = 7926.-^ 
 
 20612 
 
 or this very equatorial value. Such results, germane to the sub- 
 jects-matter of the general construction, serve to convince one of
 
 22 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 the existence of permitted extremes on a mean of measures, con- 
 fined within very narrow limits. 
 
 It is seen that, from first to last, in these works they are 
 founded on the idea of co-ordination of measures of space (in 
 terms of the British measures) with those of time; justifying all 
 that the author advanced, by anticipation, on this idea, in Source 
 of Measures. 
 
 The king's chamber dimensions were made in terms for com- 
 puting tables of sines, etc., though not immediately apparent. 
 The Hindoos have the same method, in the same terms, 
 coming from their most ancient sources. Thus, in computing 
 the sines, they take the radius at 3437.74+. (the length of the 
 king's chamber in feet being 34-3774+), diameter to a circum- 
 ference of 10800, which circumference multiplied by 2 equals 
 21600 7>iinutes ; the diameter is therefore 6875.48; hence the pro- 
 portion is — 
 
 6875. 48-f : 21600. 
 
 Reduce these numbers to their least terms, by dividing them by 
 36, and we have — 
 
 190.985+ : 600; 
 
 where, in 190.985, we have 10 times the height of the king's 
 chamber in feet. (See Bentley's History of the Hindoo Astron- 
 omy.)
 
 GEOMETRY 
 
 23 
 
 SECTION III. 
 
 Use of the form 6561 : 20612 to exhibit values of changes of 
 geometrical shapes in integral numbers; showing numbers to be 
 mental creative conceptions to which shapes are obediences as 
 materializations: also other geometrical and astrono7nical uses 
 of this form. 
 
 PART I. 
 
 GEOMETRY. 
 
 A Circle is a perfect curve. It is of such a nature that, pro- 
 tracted either way, it will re-enter upon itself. The length value 
 of this curve being found, the length values of the curve 
 and its diameter can be expressed in the numerical terms of this 
 length. 
 
 The measure of circumference of all regular polygons, includ- 
 ing the circle, is ^/^ the circumference by the radius of the in- 
 scribed circle. (John A. Parker.) 
 
 The true ratio of circumference to diameter of all circles is 4 
 times the area of the circle inscribed in the square for the value 
 of circumference, to the area of the circumscribed square for the 
 value of diameter. (Parker.) 
 
 Given diaineter ^4 = 81, area oi B = 
 6561, area of y^ = 5153 'y then, 
 dia. A 
 
 X cir. of A ^ area of A 
 
 or 
 
 81 
 
 X circumference of A = 5153 
 
 81 X cir. of A =5153 X 4 = 20612 
 
 20612 
 
 circujnfercnce of A 
 
 81
 
 24 
 
 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 The diameter of A is given, and therefore, 
 diameter : circumference : : 8i : 
 and 
 
 20612 
 
 diameter : circumference : : 6561 : 20612 
 (The formulations are .those of Mr. Charles Home.) 
 Thus it is shown that the area of the square of 81 to the side, 
 or 6561, being taken as diameter of a circle, the circumference of 
 that circle will be the numerical value of the area of the inscribed 
 circle multiplied by 4, or 5153 X 4 = 20612. 
 
 The number forms used in the following cases are 6561 : 5153, 
 and 6561 : 20612, where the last form is assumed to be the true, 
 and perfect, and only integral relation of diameter to circumfer- 
 ence of a circle. 
 
 Case I. — Area Measure. 
 
 Side of B, or square, equals 81. Area 
 of B equals 6561. 
 
 Area of circle A equals 5153. (John A. 
 Parker.) 
 
 Case II. — Linear Measure. 
 
 Diameter of A equals 81^^6561 : then 
 circumference of A equals (Case I.) 5153 
 X 4 = 20612. 
 
 But since the above are but measures of length, one would sup- 
 pose that if the numerical form was contained in nature, as a 
 law, it should exhibit itself as integrally applicable to solids. 
 Therefore :
 
 GEOMETRY. 
 
 25 
 
 Case III. — Solid Measure. 
 
 H'xsa. cube of 81 to the edge; A is its 
 inscribed sphere, having a diameter of 
 8i. 
 
 \ 
 
 II 
 
 \ 
 
 
 
 A 
 
 
 \ 
 
 V 
 
 __^^ 
 
 
 \ 
 
 
 
 \ 
 
 The usual and proper formula for obtaining the solid contents 
 
 of the sphere is 
 
 — TT diameter^. 
 6 
 
 We have 
 Then 
 
 6561 : 20612 : : I : 314159426914- 
 X 81^ = solidity of sphere. 
 
 6561 X 6 
 278262 =■ same. 
 
 (This result is the same as 3435u- X 81, and 34-351 ^^et are 
 
 T 2 
 
 206. — inches, or 10 cubits, and are the breadth (north and 
 south) of the queen's chamber.) 
 
 278262 ^ 20612 X I3-5- 
 Then we have — 
 Solidity of cube equals 8i^= 53i44i 
 
 5 
 
 Solidity of contained sphere equals 
 
 20612 X 13- 
 
 Case IV. — Surface Measure. 
 
 Surface of cube H equals area of one 
 of its faces multiplied by 6, or 81^ X 6 = 
 39366 
 
 \ ^^ 
 
 \ 
 
 \ 
 
 '^ A 
 
 
 \ 
 
 ^ ^ 
 
 \
 
 26 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 The geometrical formula for obtaining the surface of the 
 
 sphere is 
 
 TT diameter^. 
 Then we have — 
 
 X 6561 ^=^ surface of contain'ed sphere. 
 
 6561 
 So we have — 
 Surface of cube of 81 to the edge 39366 
 
 Surface of contained sphere 20612 
 
 Case V. — Convex surface of Cylinder, of height and diam- 
 eter of 2)\, coj7ipared with that of its contained Sphere. 
 
 They are the same, viz : 
 Surface of cylinder 20612 
 
 Surface of sphere 20612 
 
 Case VI. — Solidity of Cone, Sphere and Cylinder. 
 
 Where the altitudes of a cylinder and of a cone, and the diam- 
 eters of their bases, are equal to the diameter of a sphere, the re- 
 lation of solidity of cone, sphere, and cylinder will stand as i 
 for cone, 2 for sphere, and 3 for cylinder, as was proved by Ar- 
 chimedes. 
 
 Therefore, the solidity of the sphere of a diameter of 81 being 
 
 20612 X 13--= 278262, 
 the relative measures of solidities are as follows: 
 
 Cone with altitude and diameter o{ 81 139131 
 
 Sphere with diameter oi 81 278262 
 
 Cylinder with altitude and diameter of 8i 417393 
 
 Case VII. — Integral Numerical Relations between the Sphe7-e 
 whose diameter {^side of Square, and diameter and height of 
 Cylinder^ is 81, and the Convex Surface of the Cone, the 
 radius of whose Base is 81. 
 
 If the height of the cone is 81, the slant height will involve a 
 decimal (in the diagonal of the square of 81). We therefore have
 
 GEOMETRY. 
 
 27 
 
 to resort to such numbers as will give an integral value for the 
 slant height. The least integral values applicable to the measure 
 of a right angled triangle are 3 for base, 4 for height, and 5 for 
 hypotheneuse. 
 
 As a cone is described by a revo- 
 lution of the right-angled triangle 
 about its perpendicular, these least 
 integral values apply to the elements 
 of the cone. A B \s s,, A D is 4, 
 ^ Z> is 3, and the base of the cone 
 is2 B £> = 6. 
 
 (a.) Multiply these last numbers by 27 : 
 
 ^ B 135 
 
 A D 108 
 
 B D 81 
 
 {108 is circumference to the breadth of the king's chamber in 
 
 feet.) 
 
 Solidity of sphere (Case III.) is 
 
 81' X ^;r = 20612 X 135 
 
 But 20612 is circumference to a diameter of Si'': so in the nu- 
 merical elements of this cone there is a correlation with the solid- 
 ity of the cube of 81 and its contained sphere, as — 
 
 Circumference of the square of the radius of base multiplied by 
 Jjj the slant height, equals the solidity of the sphere contained 
 in the cube of 81 to the edge. 
 
 (b.) Y^ circwtiference of base by slant height equals the convex 
 surface of the cone. 
 Then the convex surface of this cone is 34353/^ 
 
 (Breadth of queen's chamber equals -^ ^'^^^^ = 17.1766+ feet.)
 
 28 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 (c.) Multipy these values by 8i, and we have — 
 
 A B 10935 
 
 A D 8748 
 
 BD 6561 
 
 Convex surface is ^ circumference X io935 = 22539220: where 
 
 the radius is 6561, or diameter to circumference of 20612 (or 
 
 5153 X 4), and the height is 6561 + — — ^ 8748 
 
 Here we have this correlating relation : 
 
 •■• / 7- 1 \ slant height 
 
 Circu77iference of radius (as a diameter value) X — z — r^ 
 
 •^ ^ 81 X 10 
 
 = solidity of the sphere contained in the cube whose edge is 81. 
 
 (Case III.) 
 
 {d.) Multiply the values in ^rby ij^, and we have — 
 
 A B 14580 
 
 AD 1 1664 
 
 B D 8748 
 
 Here are elements for an astronomical application. (Part II. 
 of this Section, Case III.) 
 
 Aerain. -^ ^ 64800 is circumference to diameter of 
 
 ^ 13-5 
 
 20626.-^^^ —, a value of seconds used in astronomy to obtain 
 
 the sun's parallax and distance. 
 
 Height 1 1664 is dianuter to standard circumference of great 
 
 pyramid in inches. This diameter as 11.- — inches was taken 
 by the Roman nation as their foot measure. 
 
 These numerical applications teach the meaning of the Egyp- 
 tian symbol of a man standing before one of their gods, his hand 
 extended supporting on its palm a cone. The forearm was the 
 cubit, and the hand was the palm, or a division of the cubit. 
 
 Under the formula for solidity of a cone, viz : 
 
 Yi 7z R^ altitude. 
 
 The solidity of this cone is by equivalence — 
 
 81- X 81' 6561 
 
 or -^- — X 8i 
 
 3 
 
 20612 20612
 
 GEOMPriRY. 
 
 29 
 
 Note. A numerical source of almost infinite variations of 
 inter-connected proportional parts on these forms can be geo- 
 nietrically shown, as involving at once values peculiarly the prop- 
 erty of square, circle, triangle, and cone. 
 
 K 
 
 
 
 [ ^\^ 
 
 
 
 
 // ^^\^ ^\^ 
 
 
 
 
 
 
 
 \\^\r^\ 
 
 B 
 
 D 
 
 E 
 
 A Ft^2>, a H=g, A 1= 27, A A'^ 81. 
 
 A B = ^, B F= 5. Let A^ ^=40, C H=/^i, A D = t,6/^, 
 D I ^ 365. A E= 3280, E K= 3281. 
 
 Here the- squares are multiples of the number 3, as 3, 9, 27, 81. 
 The triangles are of a nature such that the hypotheneuse always 
 exceeds the height by unity. This form may be varied from in- 
 finitely ; and as to methods of integral triangulation, see Meyer's 
 Quadrature (Cincinnati.) 
 
 The square of 81, shown herein to be of so much importance, 
 is founded on that of 3, which is the base of a triangle from 
 whence such curious results have been derived. Take a use of 
 the number values attached to these triangles, premising that the 
 number 9 is also the origin of the sides of the triangles, as 4 -|- 5 
 = 9, 9'' = 81 = 40 -f 41, 81 X 9 =^ 729 = 365 + 364, and 729 X 9 
 = 6561 ^3281 -I-3280: 
 
 Add (i.) 365 X 2 ;;= 730.0000000004- 
 
 (2.) 3280 32.800000000+- 
 
 3280 
 
 (3.) 
 
 54 
 
 .6074074074- 
 
 Sum, 763.407407407 
 
 And, numerically, we have the standard base side of the great 
 
 pyramid in feet. 
 
 But 763.4074074074-I- X 54 = 20612 
 
 which use, while it affords data the same as in all the cases supra,
 
 30 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 also shows that the creative conception of the proportional parts 
 of diameter to circumference of a circle, had its origin in that 
 thought symbolized by the number 9 ; so that diameter is not 
 only determinate with circumference, but they are merely related 
 issuances from the common source of 9. Another use of this 
 number 9, producing the same results through the order of the 
 digits, might be given. 
 
 Case VIII. — Use of the Diagonal of the Square of Si. 
 
 The diagonal of the square of 81 is a mean proportional be- 
 tween a value of circumference and of diameter of a circle, such 
 that one extreme is diameter to circumference of 
 
 a circle of 360 ; 
 which value, 360, for circumference, is the numerical origin of 
 what is called — 
 
 The Analytical Unit of Circular Measure ; 
 where the angle measuring the curve of a circle, shows that 
 curve to be equal in length to the radius. 
 
 {a.) We have the form — 
 
 47001-4- 
 20612 : 6561 : : 64800 : 20626—^ 
 
 where the first term is a circumference value, and the last is a 
 diameter value of the circle. Divide this form by 54, and we 
 
 have 
 
 . 6561 
 381.7037037-f- : — — : : 1200 : 381.97166 + 
 54 
 
 where the first term is the standard measure, and the last term is 
 the exact measure, of the half base side of the great pyramid. 
 (The full base side, then, is a circumference to a diameter, as 
 
 24 : 7.-^—, where 24 can be taken as the 24 hours into which 
 
 the circle of 360 is divisible by 15 parts of 360 to the hour.) 
 
 Multiply this last form by -^-^, and we have 
 
 , 6561 
 114.51111-I- : -^ : : 360 : 114.5914999-!-
 
 GEOMETRY. 
 
 31 
 
 {b.) The diagonal of the sjDhere of 81 to the side is — 
 
 114.55129+ 
 and, as a fact, this is a mean proportional between the extremes 
 in the last form, for : 
 
 114.5111+ : 114.5512+ :: 114.5512+: 114.5914+; 
 which shows that the diagonal of this square of 81 has a pro- 
 portional connection between values of circumference and diam- 
 eter of the circle originating from the number 9, the base of this 
 square, as has been shown. 
 
 (<:.) But the extreme 114. 591499-]- is 
 diameter to a circumference of 360, and 
 
 the radius therefore will be — — ^ ; 
 
 2 
 
 57.2957499-}-. Now, where a portion of 
 
 the arc of this circle, equal in length to the 
 
 radius, is intercepted between the radii, the 
 
 numerical value of the angle measuring this arc will also be 
 
 equal to that of the radius, as 
 
 radius= 57-295749 + , 
 
 intercepted arc = same, 
 
 contained angle = same ; 
 
 which holds true of no other values assigned whatever. 
 
 The angle 57°295-|- is that one which will always give the in- 
 tercepted arc as equal to the radius, but any other value given to 
 the radius, or arc, will differ numerically from the value of the 
 angle. Hence this is the normal numerical value giving this 
 geometrical result. 
 
 Hence, circitmference value 360 of a circle, derived from the 
 form 6561 : 20612, which is taken from the square of 81 to the 
 side, and from the number 9, becomes the normal measuring 
 circle for terrestrial and celestial measures.
 
 32 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 PART II. 
 
 Astronomical use of the form 
 6561 : 20612 
 
 Case I. 
 
 The usual measure of the earth's time about the sun has been 
 taken in the terms of a 7iatural measure of time, viz., the rising 
 and setting of the sun. By long continued observation the nu- 
 merical notation of this period of time, viz., the solar year, has 
 been found to be, in the terms of this natural measure, 
 
 365. 256374-f- days. 
 
 Now suppose that while this is so, some mental creative power 
 had thought of, and willed that the proportional parts of the 
 earth's orbit, as regards all other cosmical measures, should cor- 
 relate with that number value to which the abstract relation of 
 diameter to circumference of a circle is found to render obedience 
 in shape. This value, as thus found empirically, can be relegated 
 for its origin to circumference values of a circle, taken from the 
 form 6561 : 5153, as follows: 
 
 360000000 
 
 5153000 
 103060 
 
 31415 
 
 365-256374+ 
 where 360 is the normal measuring circle derived from the square 
 of 81 and the form 6561 : 5153 (see case VIII., Part I.), 5153 is \ 
 ci7xumfcrcnce of 20612, 10306 is \ circumference of 20612, 
 and 3 14 1 5 is circumference to a diameter of unity. This value 
 of the year can not be reconstructed, integrally, from a common, 
 or unit, numerical source, or from the numerical value of any 
 shape save as interpreted by the above form of 6561 : 5153 only, 
 and alone.
 
 ASTRONOMY. 33 
 
 Case II. — Diameters of the Earth in Miles from the form 
 
 6561 : 20612 
 
 ((7.) Take circumference derived from this form of 31415942.- 
 6916162 : Multiply by 2, and we have 
 
 62831885.383324 
 as a circumference value. Suppose we change the nature of this 
 value to that of the area of the square. Then the side of that 
 square will equal 
 
 ^62831885.4-, or 7926.^-^ 
 which in miles is the equatorial diameter of the earth. 
 
 Here is a change of numerical notation, comporting with a 
 change of geometrical shapes, producing this result. Consider 
 how we have found in the pyramid works linear measures co- 
 ordinating with time measures. Here we find the same thing 
 with the addition of the bringing in on to the same ground the 
 co-ordination of geometrical shapes. 
 
 ib.) Reduce this miles value io feet, or 
 
 7926.565X5280= 41852743.680 
 
 Deduct 144135. 
 
 Remainder, 41708608.680 
 
 i 
 
 which, brought back to miles, gives 
 
 ■JC7-4- 
 7899.''-^^^!- miles; 
 
 and this is the polar diameter of the earth in miles. 
 
 Note. This value 144135 is the reverse reading oi the cube of 81, where 
 8i3= 1531441. It is a biblical use. 144 is Adam, and 135 is A S H, or 
 xvo7nan, and it is stated that God brought the woman to the man and 
 joined them, or 144135, which, reversed, is the cube of 81. Why, for in- 
 stance, the astronomical formula that the squares of the times are as the 
 cubes of the mean distances, is so, is to us a mystery. It simply is so be- 
 cause it is so: it is part of the faL So this, to us, so novel use of reverse 
 values, if found to be useful, or used, in cosmical developments, must be 
 accepted as a use in natural building. Here it seems to point to some 
 method of notating elliptical properties.
 
 34 SUPP1.EMENT TO SOURCE OF MEASURES. 
 
 /// 
 
 Case III. — The Moon's Time from Parker's Quadrature. 
 
 Mr. Parker takes the following cosmic values : 
 The solar day of 24 hours has 5184000' 
 
 The sidereal day has 5169846' 
 
 The circular day has 5153000' 
 
 where this, as an abstract measure, is taken as the ^ of a circum- 
 ferejice of 20612, or as the area of the circle in the square of 
 
 561. 
 
 Take the form — 
 
 20.612") 4 27.482666-}- 
 
 \^- = 
 6.561) 3 8.748 
 
 This value of 27.482666 as circular time, reduced to solar 
 
 time, gives 
 
 27.4826664- X ^^ = 27.3183220164+ 
 
 or reduced to time scale, as days, gives 
 
 27d. 7h. 38' 23" 1'" 2d'" 
 To this add the difference between one sidereal and one cir- 
 cular day, or 
 
 16846'" = 4' 40" 46'" 
 and there results 
 
 27a. 7h. 43 3 47 20 
 which is the e.xact value of the moon's period. 
 
 Note. By Mr. Parker, the time of a sidereal lunation from 
 the best authorities when he wrote was 2 7d. 7h. 43' 4" against his 
 as above, showing the difference of i- of a second. The solar luna- 
 
 tion was given at 27d. 7h. 44' 3", against his of 27d. 7h. 44' 2".— 
 
 At the present day, this value of the solar lunation is retained 
 
 87 
 as 27d. 7h. 44' 2". — , agreeing with Parker to within y^Q- of a 
 
 second, while, however, a great difference has been made as to 
 
 the value of a sidereal lunation, as 27d. 7h. 43' ii"6t4; for this 
 
 reason, as given by Godfray : "This is the value at present, for
 
 ASTRONOMY. 35. 
 
 r 
 
 comparison with ancient observations led Halley to the conclu- 
 sion that the moon's mean velocity is being accelerated, and the 
 period of a revolution shortened." It tells badly for astronomi- 
 cal accuracy to make a change of 9" in such a period on the 
 strength of ancient records, where great uncertainity exists as to 
 the correct chronological periods of those old observations. (See 
 John Von Gumpach on Mr. Airy, the Astronomer Royal.) 
 
 Case IV. — Mean Solar Year by Air. Parker 
 He takes the form 
 
 206.12) 16 366.43555-1- 
 
 65.61 ) 9 116.64 
 where he makes 366.4355-}- the base for the calculation of the 
 mean solar year. By simple and orderly means from use of this 
 form, he gives this value at 
 
 365d. 5h. 48' 50" 53'" 6"" 
 His steps are : 
 ist. Circumference value as stated 366.4355-}- 
 
 2d. Reduced to solar time by the factor =^- X 
 
 5184 
 
 3d. He adds one sidereal day. 
 
 4th. He adds xy'i of the excess over the mean between one cir- 
 cular and one sidereal day, reduced to solar time. 
 
 Note. There is a method of use of the form of 113 : 355 for obtaining 
 the year value. To compare and force the form 113 : 355 by that of 6561: 
 20612, we have 
 
 6561 : 20612 : : 113 : 355.000152415+ 
 Then 
 
 20612 : 20626.12 — /' c 1 
 : : 355-00015-415+ : 365-^56389+ 
 
 54 
 
 which is correct as compared with the received value to less than the 
 
 16 
 
 I 000000 
 
 of a day in the year's period.
 
 36 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 Case V. — The Angle of Solar Paiallax, and the Sun^s mean 
 
 distance. 
 
 The results to be derived from the late transit of Venus are not 
 expected to be ranked as original or basic data, but rather as data 
 to be compared with, and made to conform to, other data derived 
 from independent sources. A very high authority has written to 
 this effect, and gives the independent results as follows : 
 
 (i.) By the effect of the sun's attraction on the motion 
 of the moon. 
 
 Parallax by this method, 8." St* 
 
 (2.) By measures of the planet Mars when nearest the 
 earth, under very favorable circumstances. 
 
 Parallax by this method, 8." 85 
 
 (3.) By measuring the velocity of light. 
 
 Parallax by this method, 8." 86 
 
 (4.) By an independent method by Leverrier. 
 
 Parallax by this method, 8." 83 
 
 He then says : "From the general accordance of these various 
 results, it would appear that the solar parallax must lie between 
 pretty narrow limits, probably between 8"82 and 8"86." Else- 
 where, he gives the result as 8"84-|-. 
 
 (a.) The astronomical formula for obtaining the sun's distance 
 
 (see Godfray's Astronomy), is 
 
 TA- ^ Radius of Earth 
 
 Distance of sun = -— — — -. — 
 
 o/«. Horizon, parallax 
 
 and 
 
 Radius of Earth 
 Distance = Value of Sin. Horizon, parallax 
 
 206264.7001 
 (Here 206264.7001 is assumed as the correction of 206264.8+ by 
 Godfray.) 
 
 (b.) Now, Mr. Parker has also a form for finding the sun's 
 distance (see his Quadrature), which is 
 
 distance of sun = diameter of earth X 11664
 
 ASTRONOMY. 37 
 
 where 11664 is derived from his original form as 
 
 20612) 16 36643-555 
 
 [ x- = 
 6561 3 9 1 1664 
 
 He takes diameter of earth as mean diameter, for which he 
 gives no sufficient reason. On the contrary, the author takes this 
 as the equatorial diameter of the earth. 
 
 (/:.) Making the equations in (a.) and (d.) equal, 
 
 Radius of Earth 
 
 Diameta of earth X 11664 =^^^^"^ ^^^- ^^^^^- Parallax 
 
 206264.7001-}- 
 
 which, reduced, gives. 
 
 Value j-z«. horizontal parallax = 8. "84193 
 
 or length of arc 8.84193; 
 
 which agrees as closely as seen with the values as found above, 
 
 expected to be confirmed by the transit observations. It must be 
 
 noted, however, that the transit was observed the earth being in 
 
 perihelion, and therefore this result of 8"84i93 being taken as 
 
 the mean, the results of the transit should give a large angle, 
 
 say 8"9i, or thereabouts. 
 
 {d.) Taking the earth's equatorial diameter as found, at 7926.656 
 miles, distance of sun will prove to be 
 
 7926.656 X 1 1664 := 92.456515 miles. 
 
 (Note here the use of this value 20626.47001 in this parallax 
 formula and in the pyramid construction.) 
 
 CasQ VI. — General Law of Interplanetaty Distances. 
 
 here is but one further case to be noticed in this astronomical 
 connection, which is the general law of Kepler. It is that 
 The squares of the times are as the cubes of the mean distafices. 
 
 This terminology fits exactly as part and parcel of, and as a 
 sequence to, the method herein stated. 
 
 So we have in these sections : 
 
 (i.) A Source of Measures; Egyptian, Roman, British, and, 
 without doubt, Hebrew.
 
 38 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 (2.) The great pyramid constructed from this source; essen- 
 tially justifying the use in the perfect closing of the lines by means 
 of its rigid application. 
 
 (3.) The most important features in geometry exhibiting them- 
 selves as obediences to this source, as to a creative mandate. 
 
 (4.) And, finally, the governing features of astronomy, as to 
 measures of space and time relegating themselves to this same 
 source, as to a creative origin. 
 
 Evidently we have been dealing with a natural, or better a 
 Divine system; albeit in the mist, for lack of a right method of 
 using the model form.
 
 THE LEGENDRE AND PLAYFAIR METHOD. 39 
 
 SECTION IV. 
 
 A CRITICISM ON THE, SO-CALLED, LEGENDRE AND PLAYFAIR 
 METHOD OF RECTIFICATION OF THE CURVE OF THE CIRCLE, 
 BY MEANS OF INSCRIBED AND CIRCUMSCRIBED POLYGONS, 
 SHOWING ERROR IN THE MEANS EMPLOYED. 
 
 § I. Where an erroneous deduction has for long been postulated 
 and accepted as a truism, the error of such a deduction must be 
 shown as a first step toward the ascertainment of what the spe- 
 cific truth really is. 
 
 There are very many men so made up by nature, that where 
 by long habitude, they have unconsciously entertained and cher- 
 ished a postulate which perchance is radically wrong, they pre- 
 fer to adhere, as by custom, to the error, and resolutely close their 
 eyes to the truth ; even though it be presented to them. It is for 
 this reason, chiefly that radical reforms, no matter in what de- 
 partment of culture, are so obnoxious to a conservatism which, 
 to a great degree, is perhaps as necessary to the well-being of 
 culture as truth itself. 
 
 But sometimes where mighty consequences toward the better- 
 ment of humanity offer themselves as the reward of the estab- 
 lishment of a primal truth, in the face even of the profoundest 
 convictions, entertained and cherished for never so long, sup- 
 ported even by the highest authorities and the most illustrious 
 names, the hand should not be stayed by any considerations of 
 conservatism, from pointing out radical error. 
 
 The author is well aware of the obloquy attaching to any criti- 
 cism of the kind he is now entering upon ; and he believes he 
 understands, too, that really this kind of obloquy is shot out from 
 a very base interest at bottom, which desires that the error may 
 prevail rather than that the truth may be ascertained. He ap-
 
 40 
 
 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 peals, therefore, to the fair-minded, to give this criticism a care- 
 ful reading ; he being perfectly willing, if in the wrong, to bear 
 the jeers usually attendant upon any effort of this kind. 
 
 § 2. Before proceeding to the demonstration of error in the 
 Legendre or Playfair method of rectification of the curve, he will 
 give two instances of erroneous deductions connected with the 
 subject-matter of apprdximate values. 
 
 {a.) Sir Isaac Newton, in laying the foundations of his Prin- 
 cipia, in "Lemma I.," postulates: 
 
 " Quantities and the ratio of quantities which, in any finite titne^ 
 converge continually to equality, and, before that time, approach 
 nearer, the one to the other, than by any given difference, ulti- 
 mately become equal. '^ 
 
 This postulate is manifestly untrue, for : let ^4 ^ C be any tri- 
 angle, and with the length A B a.s a. radius, let the arc B D he 
 
 drawn to intercept the line A C. Sup- 
 pose this figure, both for triangle and 
 segment of circle, be continually and 
 proportionately reduced, as A B' C , 
 A B' D' ; the relative differences wilt 
 never be changed, however far the re- 
 duction be made, and consequently the 
 ratio of difference will always remain 
 the same. The proposition is axiomatic, 
 and does not require demonstration. 
 
 But take the triangle ABC with 
 the circular area A B D, z.s decreasing 
 toward A B, by different and successive 
 steps, one of which is, say, ABE, with the circular area 
 A B F. By this method, no geometrical ratio can be preserved. 
 The ratio of diminution has to be calculated by numerical com- 
 putations. But there being a ratio of diminution, in which the 
 difference between the straight line and the curve, is, say, a de- 
 creasing one, it is nevertheless, plainly to be seen that the only- 
 equality of the curved line B D with the straight line B C, in
 
 THE LEGENDRE AND PLAYFAIR MEl HOD. 
 
 41 
 
 any possible diminution, will be when the line A C shall so close 
 upon A B as to wholly coincide with it (as to the value of their 
 lengths now or at last becoming alike), and become, with A B, 
 one and the same line, at which stage, or condition, there can be 
 neither curved line nor straight line left for comparison ; ihere- 
 fore, so long as these lines — i. e., C B straight, and B D curve — 
 exist at all, either in whole or in part, there can, by possibility, 
 be no equality between them. 
 
 Hence, the '■'■Lemma" is false in its terminology; nor is it 
 even right in a showing of a growing or proximate equality of 
 likeness as regards the ultimate structure of these different kinds 
 of lines, as will be now shown. 
 
 (b?) This method of Legendre and Playfair was criticised by 
 Torelli, as thus stated by Playfair in the appendix to his Euclid : 
 
 "It is impossible, from the relation which the rectilineal fig- 
 ures inscribed in, and circumscribed about, a given curve have 
 to one another, to conclude anything concerning the properties 
 of the curvilineal space itself, except in certain circumstances 
 which he has not mentioned." 
 
 As regards this statement, Playfair assumed the affirmative as 
 against Torelli ; and yet, as to the structural conditions, or prop- 
 erties of the lines, Torelli's statement can be demonstrated, Play- 
 fair to the contrary notwithstanding. This is to be seen from the 
 following : 
 
 The burden of the effort of Legen- 
 dre and Playfair is to show that, by 
 the growing diminution and equality 
 between the circumscribed C B' and 
 the inscribed C B, the curved line 
 penned up between them becomes 
 measurable; which curved line, at 
 any stage of bisection, being an even 
 and known part of the curve of the 
 entire circle, from it the length of 
 the entire circumference, and conse-
 
 42 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 quently the area of the curved space, is to be had. The measure 
 of this growing equality is always to be tested' by the difference, 
 at any stage of bisection, between C B and C B' . In the dia- 
 gram, which may stand for any stage of bisection, C B' is the 
 chord of half the arc, and therefore E E' \s B B' f6r every suc- 
 ceeding bisection. Now, from B' as a center, with C ^' as a 
 radius, describe the arc C D. Then C D will be the quantity 
 which vanishing by diminution, the triangle C B' C will event- 
 ually, by the Lemma of Sir Isaac Newton, become C B' £>, and 
 isosceles; when the curve lying between C B' and D B' must, 
 by hypothesis, become equal to C B, or to D B', as a straight 
 line. Such being the conditions, it might be looked for as a 
 certainty that with the diminution of C B, an accompanying 
 diminution would take place in E E', as by a direct ratio, so as 
 to exhibit the fact of growing coalescence of the curved with the 
 straight line. But to the contrary of this, as a fact, taking the 
 value C D (the difference between C B and C B') and E E' 
 for a number of bisections, and it will show that, with relation to 
 the diminution of C D, E E' is ificrcasing. It becomes a 
 question, on the showing, whether the arc is not, relatively, sep- 
 arating from, instead of approaching the chord. If so, the ques- 
 tion is : What is the effect of this ? What does it mean ? And 
 this question is left to the reader for answer. 
 
 Practically, a calculation of the value of rr to 6144 sides of the 
 polygons, taken from the base that the perimeter of the polygon 
 of six sides is one with 25 cyphers, making the radius one with 6 
 repeated 24 times, yields the following data as to the relation, or 
 ratio, between C D and E E' , as they respectfully diminish 
 with continuing bisections of the arc : 
 
 6 sides, C D : E E' : . 1 : 5.0706 
 
 12 " " " I : 1.2404 
 
 24 " " " I : 2.5301 
 
 48 " ** " I : 5-0847 
 
 96 " " " I : 10.1818
 
 THE LEGENDRE AND PLAYFAIR METHOD. 
 
 43 
 
 192 sides, 
 
 C D 
 
 £ E' : 
 
 : I : 
 
 20.3697 
 
 384 " 
 
 ( I 
 
 (< 
 
 I : 
 
 40.7426 
 
 768 " 
 
 < I 
 
 (f 
 
 I : 
 
 81.4882 
 
 1536 " 
 
 (< 
 
 (( 
 
 I : 
 
 162.9917 
 
 which shows a rapid ratio of diminution of C D with relation 
 to that oi E E' \ and the practical diminution of C D may be 
 judged of from a statement of its value at 6 sides and 6144 sides, 
 as follows : 
 
 6 sides, C' B'== 962250448649 
 
 6sides, C^'= 862730150341 
 
 C D, or difference, 99520298308 
 
 6144 sides, C B' 000852211623 
 
 6144 sides, C B' 00085221 1539 
 
 C Z>, or difference, 84 
 
 which simply shows that the triangle C B' C is approaching to 
 being isosceles unattended by a relatively rapid approximation, in 
 structure, of the chord C B' to the curve C B'. But the rela- 
 tion of this approximation can be had by a statement of the con- 
 tinuing ratios between B B' and E E', and these are as follows: 
 
 E E' for 6 sides 
 
 B 
 
 B' : : X : 
 
 3-9318516 
 
 12 " 
 
 
 
 3.9828897 
 
 24 " 
 
 
 
 3.9989291 
 
 48 " 
 
 
 
 3.9997322 
 
 96 - 
 
 
 
 3-9999330 
 
 192 " 
 
 
 
 3.9999832 
 
 384 " 
 
 
 
 3.9999958 
 
 768 " 
 
 
 
 3.9999989 
 
 1536 " 
 
 
 (( |. 
 
 : 3.9,999997 
 
 -which simply shows that while the ratio oi E E' to B B' can 
 never become i : 4, the ratio of C D X.o E E' can become 
 I : Qo large ; or, that the triangle C B' C may become isosce- 
 les, while yet, absurdly enough, the chord and arc have not as 
 yet assimilated ; not only so, but have separated by a relatively 
 infinite quantity.
 
 44 
 
 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 These instances serve to qualify the estimation now had of the 
 exactitude of the foundation conditions in this speciaUty, lying, as 
 they do, at the base of the higher regions of mathematical science 
 as at present accepted ; a science so much vaunted as being ac- 
 curate and beyond error. They serve as an introduction to the 
 following : 
 
 § 3. The Legendre or Play fair method of obtaining the value 
 of TT, or rectification of the curve of the circle, is geometrically 
 defective ; and is insufficient to obtain as claimed the exact nu- 
 merical value of the curve to within less than any assignable 
 quantity. 
 
 ((7.) The Essential Element of the Playfair Method. 
 
 D ^' Let C D B be the ^ of the curve 
 
 of a circle, embraced in the square 
 polygon, of which C B' is the side, 
 and itself embracing the square 
 polygon of which C P is the side : 
 the sides of these polygons being 
 parallel to each other and embraced, 
 respectively, between the radii A C 
 and A B, and the same radii ex- 
 tended to A C and A B' : the termini of the side C B oi the 
 inscribed square being the termini C and B of the embraced 
 curved C D B, or the ^ part of the circumference of the circle, 
 and also the termini C and B of the radii A C and A B. The 
 side C B' of the circumscribed square touches and terminates the 
 radius A D and the middle of the curve C D B, in the point D. 
 The reductions of the sides of the polygons take place by draw- 
 ing the chord C D oi the curve, or arc, C D; a. perpendicular 
 is let fall from'^, the center of the circle, on CD, and continued 
 till it touches the curve, necessarily bisecting the curve C Z>, 
 which is the ^ part of the entire circumference. C D, straight 
 line, is the side of the second inscribed polygon. The radii A C
 
 THE LEGENDRE AND PLAYFAIR METHOD. 45 
 
 and A D are extended to terminate a tangent line to the curve 
 C D, drawn parallel to C D, and this tangent line becomes the 
 side of the second circumscribed polygon. 
 
 This process is continued an indefinite number of times agree- 
 ably to the attainment of the desired exactitude of the value of 
 the curve. The value of the curve, as regards the entire circum- 
 ference, is always known, for it runs down with succeeding bi- 
 sections from \ to |, then y^g-, then -^^, and so on. 
 
 Now this very fact (as claimed), viz., that even and known 
 portions, as \, |, jV' sV' ^"^ ^° °"' °^ ^^^ curve of the entire cir- 
 cumference, are respectively limited, ivholly limited, and not less 
 than limited, between the sides of the polygons, as bisections 
 take place, is that on which the method of Playfair and Legendre 
 is founded. Thus, it is absolutely necessary that the termini C 
 and B of the chord C B shall wholly limit, no more than limit, 
 and exactly terminate, the length of the curve C D B, as (in 
 this case) \ part of the circumference of the circle. The same 
 may be said of the termini C and D of the chord C D, of half 
 the arc C D B, terminating the curve C D, as (in this case) \ of 
 the circumference of the circle ; and so on for every succeeding 
 step of bisection. And this fact is an essential element in this 
 method. 
 
 It is seen that the geometrical function or use of the sides of 
 the polygons in this problem, is in the mere mechanical fact of 
 exactly limiting the termini of the curve and tiothing more, nothing 
 less. Apart from this there is no structural relation whatever 
 between the right lines and the curved line. 
 
 It so happens that the value o{ A C and C E being known, 
 we have J A C^ — C E'' =-- A E ; and A D being known, A D 
 — A E= D E\ thus we have the value of the sides D E and 
 C ^ of the new triangle C D E, oi which the side C D '\% the 
 chord of half the arc C D B\ and so on. Reduction being thus 
 made in the sides of the polygons, which, as claimed, always em- 
 brace a known portion of the curve of the entire circle, when,
 
 46 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 at some remote reduction, the sides of the polygons have become 
 exceedingly small in value, it is assumed that the curved line, 
 penned up between them (a known portion of the curve of the 
 entire circle), is of the same value with that of the reduced sides 
 of the polygons, and on this assumption, which is, as said, de- 
 pendent on the fact of the exact limitation of the termini of the 
 curve by the termini of the sides of the polygons, the value of 
 the circumference of the circle is claimed to be obtainable to 
 within less ihari any assignable limit; because any limit being 
 assigned, the bisections can be continued until the exactitude of 
 relation shall extend to and beyond the assigned limit. 
 
 {b. ) The Definitioji of a Line. 
 
 Modern geometry has to do, and only to do, with shapes or 
 magnitudes, the analysis of shapes, and the relations of shapes, 
 similar or dissimilar to each other, in its speciality. If number 
 equivalents are used in modern geometrical analysis, they are 
 simply expressions of, and translations of, geometrical conditions 
 into another and an equivalejit form of expression. The defini- 
 tion, arising in modern geometry, of a line, that it has length 
 without breadth or thickness (as numerically a i, or one, of length 
 alone), could only have been adopted for the translation of geo- 
 metrical conditions into other forms of expression, as being in 
 the fijst place permitted by geometrical relations. It was found 
 that admitting breadth of a line, as say i, or one, in all geomet- 
 rical calculations involving the use of right lines, the value of 
 breadth might be reduced indefinitely, and finally eliminated, be- 
 cause the geometrical discussions of plane figures admitted of 
 this. It was assumption to unqualifiedly make use of the same 
 definition as regards the discussion of the relation between right 
 and curved lines, in calculations of the sides of the polygons, as 
 by Legendre and Playfair, without first showing that the geomet- 
 rical conditions of the method, as it progressed in the bisections 
 of the chords of the arcs by means of the calculations of the
 
 THE LEGENDRE AND PLAYFAIR METHOD. 47 
 
 sides of the polygons, permitted the use of this definition as ap- 
 plying to the measure of the curved line considered to be penned 
 up, or limited between the sides of the inscribed and circum- 
 scribed polygons, as continued and successive bisections took 
 place. The proper and very first step in the problem^ as it is one 
 peculiar to itself, and occupying a place sui generis, should have 
 been, if possible, the establishment of this fact. As a fact, it 
 seems that this step is impossible. 
 
 (c.) Proof of the correctness of the definition of a line, that it 
 may have length without breadth or thickness, when applied 
 to the admeasurement of plane shapes, or magnitudes. 
 
 The propriety of, or the properness of, the definition of a 
 right line that it has no breadth, or thickness, limiting the defi- 
 nition to the discussion of plane shapes, can be exhibited and 
 proved geometrically ; which is the only proper mode of its es- 
 tablishment. 
 
 Empirical assumption of such a definition would be but geo- 
 metrical quackery. 
 
 In the right-angled triangle ABC, 
 the two right lines B C D D and 
 E E' F F' are to be made use of 
 as half sides of polygons attempted to 
 be embraced between, and to be used 
 to measure the space or magnitude be- 
 tween the bounds A C, A B, and 
 C B, and E E' , by, if possible, a re- 
 duction of the lines in width, they 
 being of equal breadth, that is, B D ■= 
 
 E F. These lines being of the same breadth, /. e., B D =^ 
 E F, we have the proportion 
 
 A E: E E'X E F :: A B   B C ^ B D' ; 
 where E E' X F F and B C Y^ B D' equal, respectively, the/ 
 quadrangles, or lines, E E' F F\ and B C D I/. But since
 
 48 
 
 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 E F =^ B D, dividing the second and fourth terms of this pro- 
 portion oi E F {=£ D), we have 
 
 A E: E £' : : A B : B C ; 
 where E E' and B C are the extreme edges of these lines, ex- 
 hibiting length without any other quality. 
 
 {d.) But this definition is not good, and will not hold good, when 
 attempted to be applied in the Flay/air method (a special one, 
 and siii generis^, to the admeasurement of the curved line of 
 the circle. 
 
 If this definition is to be applied to right lines as measuring 
 the values of a curved line, in the particular problem of the recti- 
 fication of the curve by calculations of the sides of the inscribed 
 and circumscribed polygons, as by Playfair and Legendre, then 
 the propriety, or properness, of this definition, as thus applied, 
 should be susceptible of being shown also. 
 
 Referring now to the fact shown in {a.) that the essential fea- 
 ture of the Playfair problem, or method, is that the extremities, 
 or termini, of the curved line claimed to be penned up between 
 the sides of the polygons, are wholly defined, wholly limited, ex- 
 actly terminated, no more, no less, by the ends or termini of the 
 sides of the polygons, let us attempt to establish Playfair's and 
 Legendre's definition of a line, that it has length without breadth, 
 as it has application, and as they do apply it, to the admeasure- 
 ment of the curved line of the circle, embraced between the sides 
 
 of the polygons. 
 , , Testing this matter and leav- 
 
 ing out of view that right line . 
 
 ■^ having breadth must be right- 
 
 c' angled parallelograms, as A B 
 '^ B' A', and C D D' C , and drop- 
 ping consideration of the sur- 
 pluses of these lines, viz., E B B' , 
 and F D D' , laying outside of 
 the area O B' A : Let the sides 
 of the inscribed and circum-
 
 THE LEGENDRE AND PLAYFAIR METHOD. 49 
 
 scribed polygons be C F D' C and A E B' A', limiting between 
 them and the radius A', and the radius O D' extended to B', 
 the curved line A A' D' H, which has the same breadth A A' 
 (measured on the radius cutting this line, viz., O A') with the 
 right lines ; that '\<,, C C = A A' = A A', for the breadth of the 
 lines straight and curved. 
 
 It is seen that the right line C F D C more than limits the 
 terminus, or end, of the curved line jy H, by the excess of the 
 value of the area C F H H', and of its width C H' . There- 
 fore, as the gist of the problem by Playfair is the exactly defining, 
 the wholly limiting, the exactly terminating, no more, no less, of 
 the ends of the curved line, by the ends of the right lines \w posi- 
 tion (without which that problem is a geometrical failure for ex- 
 actitude), deduct this surplus area C F H H' (a part of the 
 right line C F D C) from the right line C F D' C, so as to 
 leave the geometrical condition of the problem as exhibiting that 
 which Legendre and Playfair postulate as a fact, viz., that the 
 right lines always (in connection with the radius O A' and the 
 radius O D' extended to O B') wholly define, wholly limit, ex- 
 actly terminate, no more, no less, the termini of the curved line. 
 
 This being done*, which is an essential necessity to be in accord 
 with Legendre and Playfair, the right lines A E B' A' and 
 C D' H H' remnant oi C F Lf C are no longer in a condition, 
 geometrically, such as will admit, in pari passu, of their reductions 
 in breadth to the value of zero. 
 
 In {c.) we had 
 
 A E: E E' X E F:: A B : B CX B n 
 and E F being equal to B D, dividing by E F, we have 
 
 A E: E E' :: A B : B C 
 establishing the Playfair definition as applicable to the admeasure- 
 ment of plane areas. 
 
 But here O C : C D X H' C is not as O A' : A' B' X A A'. 
 But let this proportion stand as true, viz., 
 
 O C : C D' X C H'     O A'   A' B X A A; 
 or rather as taken to be true by Playfair and Legendre, for they
 
 50 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 have assumed it as true, though A A' is greater than C H' by the 
 value C H' . Divide this proportion by the value A A to obtain 
 the value A B' as a line without any other quality than breadth. 
 Diminishing the values thus, as Playfair does, the width C H' 
 becomes negative as to value, necessarily, or less than zero in its 
 effect. That is, the lines being taken at zero, as to breadth, and 
 taken in their calculations of the sides of the polygons, as applying 
 to the measure of the curved line A A U H (reduced in its breadth 
 A A, in pari passu), must, necessarily, as a practical fact, detract 
 from the value of the curve. 
 
 Such being the inevitable fact, resulting from assuming the 
 definition of a line, to be equally applicable in this particular 
 and especial case, wiih its use as applied in the admeasurement 
 of plane areas, or magnitudes, Playfair's method is defective in 
 the geometrical means employed : therefore his method is but 
 proximately right, and his claim, that, by his method, he can as- 
 certain the exact value of the curve to within less than any as- 
 signable quantity, is false. 
 
 As a resulting truism, the value of the curve of the circle, 
 as worked out by the method of Playfair, is less than it should be. 
 
 Q. E. D. 
 
 Exeter, December, 1875. 
 
 NOTE TO PART II. 
 
 TESTS FOR correction OF THE RESULT BY THE PLAYFAIR METHOD. 
 
 («.) By a peculiar method of test, John A. Parker shows in 
 his Quadrature, Proposition III, Appendix, that error occurs in 
 the sixth decimal place of the Playfair result. 
 
 {b.) Another test is as follows, presuming that though there is 
 inevitable error in the Playfair method, that error is so small that 
 it is to be found in a far off decimal : Take a disc assumed to be
 
 THE I.EGENDRE AND PLAYFAIR METHOD. 51 
 
 perfectly circular, the greatest distance across it in a right Hne 
 must be integral with relation to its bound of circumference, be- 
 cause the lines are closed with relation to each other. Since this 
 is so, there is, and must be, in nature an integral number form 
 which will exhibit or notate this perfect, and determined, and in- 
 tegral relation. Assuming that that form which will most nearly 
 restore the Playfair result is one that will correct it, then the 
 form 
 
 113:355 
 is that one which, divided by its least member, gives 
 
 I : 3.1415929-I-; 
 
 differing from the Playfair result in the seventh decimal place. 
 
 That this result was anciently taken as corrective of this same 
 
 approximate value, its presence in the Bible (as the first face one, 
 
 underneath which the Parker form of 
 
 6561 : 20612 
 
 lies as the perfect one), sufficiently shows. 
 
 Besides the efforts of all the years of ancient research, modern 
 efforts have failed for any other form which \v\\\ give so close an 
 approximate to the Playfair result as this of 113 : 355. The ef- 
 forts and experience of ages, therefore, as to trial for this, em- 
 pirical though they be, should be of value in this investigation, 
 and weight of authority should be given to this form. 
 
 But John A. Parker rediscovered the form 
 
 6561 : 5153 X 4=20612 
 
 of which 113 : 355 is but a modification, or, from which it is but 
 
 a derivation : because 
 
 , , . 20611 
 
 6561 : 20612 : : 113 . 355 
 
 20612 : 6561 : : 355 : 113 
 
 20612 
 
 I 
 
 >656i' 
 
 while testing 6561 : 20612 by 113 : 355, integral results of this 
 peculiar harmony will not appear in both proportions. 
 
 On the ground that shapes are obediences to number forms, as
 
 52 
 
 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 mental creative conceptions, we have a perfect test as to which 
 of these forms is the governing one in the proposition that the 
 true relation of circumference to diameter is 4 times the area 
 of the circle inscribed in the square for the value of circumfer- 
 ence to the area of the containing square for the value of diam- 
 eter, as has been shown. The form 6561 for area of square to 
 5153 for area of inscribed circle, gives under this rule integration 
 of diameter to circumference as 6561 : 5153 X 4 ^= 20612, while 
 no such result attends a like attempted use of 113 : 355. (Par- 
 ker's criticism.) 
 
 These considerations ■(with the marvelous results as to the use 
 of the form 6561 : 20612 as determining geometrical shapes and 
 astronomical data of space and time as shown), seem to have 
 great weight in determining what may be the true value of 71, and 
 what may be correction of the manifest error in the Playfair 
 method. Attention is now especially directed to the Quadrature 
 of the Circle by John A. Parker (John Wiley & Son, New 
 York), for further light on this subject. 
 
 The following formulations are given, as arising from use of 
 the number 3^ = 9, and as by their use exhibiting these three 
 noted values of tt. 
 20612 
 
 54 
 
 = standard ^ base side of great pyramid := 
 
 381.7037037037037 
 
 (!•) 
 
 381.7037037037037 
 
 121. 5 
 
 3141594269166+ 
 
 the Parker value of n. 
 
 (2.) From 
 
 
 381.7037037037037 
 
 
 81 X 30 
 deduct ^   ^ = 
 Si'X 113 
 
 Remainder, 
 
 1638806948 
 
 
 381.7035398230088 
 
 381.7035398+ 
 J21.5 
 
 _355_ 
 133 
 
 3.1415929-+- 
 
 or, the Metius value of tc.
 
 THE LEGENDRR AND PLAYFAIR METHOD. 53 
 
 (3.) From 381-7037037037 
 
 deduct, 2000000 
 
 Remainder, 381.7035037037 
 
 Add 37074 
 
 Sum, 381.7035074111 
 
 381.7035074111 ,,,^„,Ar,rR«n 
 
 -~ = 3- 1415926535897 
 
 or the accepted value of tt to the thirteenth decimal place.
 
 54 SUPPCEMENT TO SOURCE OF MEASURES. 
 
 APPENDIX. 
 
 An illustration may be seen of a method of initi'al steps toward the re- 
 sults involved in the foregoing treatise. For terminology, let the cosmos 
 be considered as divided into the technical terms heaven and earth. Let 
 earth be 12, and heaven be 12, together 12 + 12 =24, and let this 24 be 
 divided into 360 parts of 15 parts each. Thus we have the terrestrial 
 and celestial circle of 360, or 24 hours, compassing the heavens and the 
 earth. 
 
 First Genesis says: In the beginning Elohim* (God) made heaven 
 (.y m i m = 12), and earth (ar tz = 12). 
 
 Then the text says: And the earth (aretz) was T H V— V B H V; which 
 words, because they have no contextual meaning, Aben Ezra says they 
 must simply be translated idem sonans, as T H V — V B H V, implying an 
 occultism; (but Dr. Wordsworth has not added to the sublimity of the 
 Scriptures, by translating these words as higgledy piggledy). 
 
 The value of T H V is 4, 5, 6, and gives the cone from the triamrle 3, 4, 
 5, to the side (page 27), from whence all the pyramid values have been 
 seen to spring, while V" B H V is 6, 2, 5, 6, or 6 X - X 5 X ^ = 360, which 
 with the use of the triangle gives, as has been seen, among other things, 
 the value of the exact solar day. Now preparing for a day God divided 
 the light part from the dark part, or 24 hours or parts, into specific por- 
 tions of 12 and 12, the natural division; then He divided, so the text, be- 
 tiveen the light and between the dark, or a cross division apparently arbi- 
 trary, but perfecting the typical square of 4 in one, and dividing the 24 into 
 4 equal parts of 6 each. Darkness was taken as an idea implying female, 
 and light as an idea implying male. So the day was divided primarily into 
 a male portion of 12 and a female portion of 12". Six (6) days finish the 
 
 * Elohim is for one value 31415, or a circumference value, designating 
 the origin or ground method of circular construction: it can also be made 
 to signify in a correlative or cognate connection 401 X 3^ ^= 14436, and 
 144 X 36 = 51S4, a characteristic of an origin form common for measures 
 of time and space, for 5184 is at the same time the characteristic of a solar 
 day in thirds and of the square yard in inches muUiplied by 4.
 
 APPENDIX. 55 
 
 cosmos: each day designated as an evening {ivotnan), and a morning 
 
 {man), together equaling one day- So there are in the 6 days a total of 
 
 72 hours ?K«/^ and 72 hours /<?;««/^, in all 144. Tims the number 144 is 
 
 born by use of 12 and 12, or 24; and, indeed, 12X1-= i44- 
 
 It is said that God as thus finishing the 6 days of the cosmos, made 
 
 ADM (the word used, to which the generic term man is here wrongly 
 
 given by translation, nor should the word man be used in translation, 
 
 until the close of the garden scene, where it tirst occurs); but this word is 
 
 A = I, D = 4, M =-4, or 144, or the very number completing the 6 days of 
 
 the cosmos; for the 6 days, as seen, have together made 144, or A U M. 
 
 He now commands them, that is, the male and female parts (so, in the 
 
 text), into which A D M is divided, to multiply, and as correlatively, or 
 
 cognately, the 144 has been divided into 72 and 72, then 72 X 7- =51^4, 
 
 which equals the characteristic of the solar day value in thirds, just where 
 
 t;iS4 
 it co-ordinates with linear measure, for ^— — = 1296, or i square yard: so 
 
 that thence, as a common source (or the name Jared, or Y R D, or En- 
 glish yard), there may be a weaving together of time and distance meas- 
 ures as inter-connecting, and inter-interpreting. 
 
 Passing over the 7th day (as empty, or nothing, or Hcbcl [Abel], or a 
 circle, which has no evening nor morning, showing a unit idea), the fore- 
 going leads up to the construction of the garden ; for it says: And God 
 planted a garden in Eden, out of the East. Where East ? East from 
 ■where? It is not a geographical term, because it referred to no place of 
 departure. The word is M' K D M, and is 4—144 (where K D M is the 
 equivalent of A D M or 144). So God planted a garden in Eden com- 
 posed of 4 squares of 144 each. Now since the words gn-odn. ox gar den - 
 Eden equal for one value 24 (or ^ = 3 -(-«:=5-|-o=7 + ''^='4 + '* =5 
 :^ a total of 24), and since A D M is a square area of 144, or a square of 
 12 for length of side, then 12 such lengths in a Irtgher denomination as of 
 feet for inches, will be the side of a square whose area is 144 square feet 
 (in place of the ADM square of an area of 144 square inches), and 4 such 
 squares of an area, each, of 144 square feet, put together will form a 
 square of 2.\feet to the side. Then these squares will show, first an area 
 of 144 square feet, and 4 of them complete the garden, truly M' K D M, 
 or 4-144: and each of these squares, while of 12 feet to the side, are also 
 144 inches in linear measure, for 12 X i- = I44- Thus changing the A D 
 M value from area (144 square inches) to linear measure (144 inches in 
 length), we have an interior square (central) of 144 inches to the side, the 
 nucleus of 4 others of the same dimensions, making an exterior square of 
 288 inches to the side (or 24 feet), or a total circumference of 288 X 4 =
 
 5^ SUPPLEMENT TO SOURCE OF MEASURES. 
 
 1 152, or I I N R (or place these letters one. to each corner of a square and 
 they can be read as I N R I). So, since this garden is seen to have its 
 origin from T44, or K D M (or A DM, for this last is 144 also, and as a 
 fact, the two words A D M and K D M give us the name Adam Kadmon, 
 whence emanated the ten Sephiroth in Hebrew ,Kabbalism), when it is 
 said that God placed the A D M, or 144, whom he had made in this gar- 
 den, we can refer this placing to a central square of i foot to the side, or 
 of an area of 144 square inches. Now construct a pyramid of 24 feet to 
 the side, and nvhose summit shall be a square platform of i foot (or 144 
 inches area) to the side: multiply these values by 100, and the sides, of 
 the base and summit, will be, respectively, 2400 and 100 feet. 2400 feet 
 is circumference to a diameter of 763.9433+ feet, the actual measure of the 
 base side of the great pyramid, and 100 feet will be a circumference to a 
 diameter of 31.S309+ feet; which last, allowing for the finish, or pave- 
 ment on the summit of the great pyramid, now removed, may be assumed 
 as the actual measure of the side of the summit platform of the great pyra- 
 mid (see Smythe's measures of same; roughly made about 400 inches or 
 ZZ-Vi feet). This would tend to show that the pyramid itself was in its fin- 
 ished state truncated instead of being carried up to a point. And this 
 agrees architecturally with Christian kabbalism, or gnosticism, for Jesus,* 
 or I H S, or f )7 f , was esteemed the corner stone finishing a structure or 
 dispensation, and the gnostic value of His name was, for one value, taken 
 as 318, or the numerical value of diameter to a circumference of unity 
 [3.18+ is diameter to a circumference of 10, and Abel (Hebrew H B L = 
 5 + 2 + 3 = 10 1, who is (as Adam also) a prototype of Jesus, is in value 
 10, so that the I H S value, 318, notes a diameter \.o a circumference value 
 of Abel or 10]; in other words, He was with the Gnostics the cap-stone of 
 this very pyramid of the garden, and of Egypt, as finishing it with a cap, 
 or corner stone, the base of which, as seen, is 31. S+ feet, or diameter to 
 a circumference of 100. Both the garden and gnostic use, and their es- 
 sential inter-connection, are to be clearly denoted by symbols, which once 
 understood can never be dismissed from the mind as part and parcel of the 
 Biblical scheme. The garden as a square of 12 -(- 12, or 24 feet to the 
 side, or 28S inches, gives a circumference of the square of 2S8 X 4 ^ 1152, 
 as designated by the letters I = i, I = i, N = 5, and R = 2; which letters, 
 
 * It is passing strange, but while Jesus was the son of Joseph the car- 
 f enter. He was also the son of David: now DVD (Hebrew for David) 
 means a joiner, thus carpenter and joiner, for architectural purposes, 
 showing a building system in the very construction of the language, in- 
 dependently of its historical, or narrative, use.
 
 APPENDIX. 
 
 57 
 
 placed one at each corner of the square, read I N R I (and 1152-^-8 = 
 A D M or 144, while 1215 -7- 5 =^ 243 or Abram). Make a cube of this gar- 
 den of 24 to the side, and we have a cube of S cubes of 12 feet to the side 
 each. But A D M, or Adam, is the center square or cube of 12 inches, 
 or I foot, to the side, and therefore he is concealed in the very heart of the 
 cube, thus: 
 
 \ 
 
 
 \ 
 
 
 K 
 
 
 i. 
 
 
 
 N 
 
 
 
 \^ 
 
 \144 in. 
 
 \ 
 
 \ 
 
 \ u,..\ 
 
 288 in. 
 24 tt. 
 
 This is the Jirsi Adam; as placed in the garden. To display him, or 
 take him from his concealment, unfold this cube of the garden^ which, by 
 so doing, becomes, in display, a cross with the man Adam exhibited as 
 a square (or cube) of 144, as seen. 
 
 2''^ in. 
 
 T7t. 
 
 N 
 
 24 ft. 
 
 The letters I I N R. denoting the edge measure of the garden multi- 
 plied by 4, to give circumference of the larger square, or 24 feet ^ 2S8 
 inches X 4 = 1152, are found located one at each corner of the square 
 of 24. 
 
 The Gnostics denoted this the second Adam; but the scheme is a per- 
 fect answer to the Hebrew scheme of the first Adam in the garden. 
 
 Now since the ideas as to the cosmos were the same with the Hebrews 
 as with the Egyptians, and since their sacred measures were the same (as 
 is provable from the details of description of the Temple on comparison
 
 58 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 with the pyramid measures), and included the inch, toot, yard, and mile; 
 and since all the structure? of the Bibie, as the Ark, the Tabernacle, the 
 Encampment, and the Temple, are but orderly developments from a BWa- 
 shith or Beginning (the real term for the book of Genesis), we can cer- 
 tainl}' look upon this use of 12^^ 144 inches, scaled to 144 square feet, as 
 the simple beginning of an entire sj'stem, more and more completely de- 
 veloped as progress is made in the books of the Law; and then made use 
 of in Temple construction, and for reference to, \)y Ezekiel. 
 
 The similitude between the Garden of Eden and the pyramid is unmis- 
 takable in these initial steps; which once taken, a great variety of further 
 steps of development are made use of, all pointing to the primary use of 
 the forms 113 : 355 and 6561 : 20612. For instance: ADM, as seen, is 
 taken as the square area of 12 to the side. After the woman has been 
 created in this prepared garden, Adam says of her: She shall be called 
 •woman because she was taken out of mati. Here the word for matt is not 
 ADM, but A I S, a word designative of something from whence the 
 ■woman could be produced. This new word reads A = i, I = i, 8^3, or 
 113, or diameter to 355 as a circumference.'^ Use 113 as a square area as 
 we did A D M, then the side of its square will be •/113, or a square of 
 10630+ to the side, or this is the side of this square man. The woman 
 
 was taken from his middle, or side, or loin, and — gives his half, or 
 
 middle, and we have, by the division, 5315, which, in Hebrew, reads 
 H' A S H, or tJie xvoman. These values are for various uses in determin- 
 ing combinations: among them place these figures, one to each corner of 
 
 a square, or 
 
 I 5 
 
 3 5 
 and we can read 5153, which is the area of the circle inscribed in the square 
 area 6561. So, also, the /"////values of the letters of the words garden 
 Edeti or gn-odn, are ^=3-j-«=50-f-o=:7o-(-(f = 4-)-«-^50=a total 
 of 177. Now the cubic value is 5.153 feet divided by 3 = i. 71766 -(- feet, 
 10 cubits are 17.1766+ feet. The surface area of a cube of 10 cubits to 
 the edge is 1770+ feet; so that the garden is also significant of a reduced 
 \alue of the Jiolv of holies, which was a cube of 10 cubits to t'he edge; as, 
 also, the width north and south of the queen's chamber in the pyramid. 
 
 * In modern times the discoverer of this quadrature value 113 : 355, is 
 said to have been Peter Metius; but this seems to have been a nom ae 
 guerre, because the words signify the measuring stone.
 
 APPENDIX. 59 
 
 Again, the number 9 is prominentlj suggested. 
 
 While A D M is 144, we can take this value as i + 4 + 4 =^ 9- The word 
 A S H, woman, or 135, can similarly be taken as 14-3 + 5:^9. The 
 serpent is the letter tcth, or a serpent coiled with its tail [spike or. phallus) 
 touching the opening of the mouth {yoni) and the letter tcth stands for 
 the number 9. So Adam, and the -woman, and the serpent, are one in the 
 center of this garden, as the number 9. Sharpe says the hieroglyph of 
 the letter ^/;«e/ was a serpent erecting its head through its coils, a copu- 
 lative symbol; gimel stands for the number 3, which, inultipiied by itself, 
 the copulation, will produce 9, which, in turn, is the square root of Si. The 
 tree was o-tz, or 7 and 9, as to which 7 is a female number, and 9 a male 
 number; and 7X9 = 63, or reversed, 36. 36^=1296, and 1296X4 = 
 5184. And so on. 
 
 The orderly arrangement from B'rashith, or Beginning, seems a de- 
 scription, then a diagram, as of the garden; then an explanation and 
 preparation for a succeeding diagram in the ark of Noah, where, just pre- 
 ceding the diagram, the full and even detailed measures of the Egyptian 
 pyramid are given. (See "Note" at close of Appendix.) Then follows 
 a preparation for a further development under Abram^ and Lot, and 
 Sarah, and Isaac, and so on, closing with Jacob and his sons in Egypt. 
 Then a further step explained in diagram by the Tabernacle and the En- 
 campment; and so on. 
 
 Instance! Abram is 243, the J^ standard height of the pyramid, taken at 
 243, because this is diameter to 76 3. 4074074+, which in feet is the stand- 
 ard length of t,he base side of the pyramid. Make 4 squares of 243 to the 
 side each, with 4 inscribed circles of a circumference of 763.-!- each: put 
 these 4 squares together, and we have a large square of 486 to the side, the 
 standard height of the pyramid; while the circumference of the 4 inscribed 
 circles give the total length {standard) of the circumference of base 
 .of the pyramid. (The name Abraham gives further detailed measures, as 
 of the king's chamber.) To get the exact value of the measures of the 
 pyramid we had the change from 20612 : 6561 to 64800 : 20626.47001 +. 
 Now the name Abram giving the ground, or standard form, the name Lot 
 gives us the correlative exact form, for Abram being 243, the yi of 486, Lot 
 is L V T or 36 X 9 = 324, and 324 is the % of 648, the source of the exact 
 measures of the pyramid as to its outside, and elsewhere, in contrast with 
 the other form under Abram. (Both values are brought together, when 
 Moses says: Because the people come imto tne to inquire of Elohitn; 
 where the word is L' D R S, or 3-42-3, showing either 342 or 324.) And 
 so on. 
 
 The Hebrew word I.uz. the foundation of so much kabbalistic comment.
 
 6o SUPPLEMENT TO SOURCE OF MEASURES. 
 
 means to pervert, to say, or to designate one thing an mean another, to 
 invert or turn end for end. Its value is 3, 6, 7, arid inverted it is 763, 
 showing the index of standard, and exact, val.ue of base side of the pyra- 
 mid. And this 763 is itself a perversion for 2400, because it implies a 
 diameter to a circumference of 2400. The word is taken in connection 
 with a ^o«c said to be in the body oi man (113), or Adam (144), which 
 is indestructible, whence new life must always spring. Bone is a form of the 
 word for tree in the garden, for one is otz, and the other otzm. o-tz is 7 X 
 9 = 63, or inverted, or perverted, 36; and 6336 is the mile value in inches; 
 while otz-m may be taken as 36* or 1296, one square yard, and the % of i 
 solar day in thirds, or as 36 X 4 = ^44 or Adam. In short, the use of these 
 catchwords refers to the everlasting duration of the system to which the}' 
 are mav to refer. 
 
 L V Z or Luz is 3, 6, 7: Add 3 + 6 = 9, then from L V Z we have 7, 9, 
 =^otz or tree in the garden; append final metn, or square ;«, and we have 
 otz-m, or bone; showing that the word bone is thus a growth from Luz, 
 involving the values of the word tree in the garden. 
 
 In this connection, I H V H is the tetragrammaton ; its value reads from 
 right to left 56501. This is a form of 113 diameter to 355, for 113 X 5 = 
 565, and this can be placed in another form of 56.5 X 10, meaning this 
 word. But to show another use take the same form as being multiplied 
 irom the other end, or 1065 X 5 = 52S0 or the number of feet in a mile. 
 
 The containment by the Bible of this system is in no manner a dispar- 
 agement to it in any possible point of view: to the contrary, if this sj'S- 
 tem of exact science (call it so) is natural and divine, then indeed the 
 Bible at last can be found to contain those exactitudes of Divine work- 
 manship which can not be interpreted but in a common way: therefore a 
 great light and no confusion of interpretation. 
 
 A language thus displayed as containing a number system, and its or- 
 derly development through to the completion of a most perfect unfolding 
 of the cosmos as an obedience to, or materialization of. Divine thought, 
 brings up the question was it (or is it) possible for men to so construct a 
 language, that it should answer all the ordinary purposes of a language, 
 and all its extraordinary uses, as in couching the most wonderful poetry 
 of the world's duration, while it could, in harmonic unison with historical 
 use, narrative use, familiar social use, and poetic use, blend in a fully de- 
 veloped, numerical, mathematical, geometrical, astronomical, and cosmi- 
 cal system of exact enunciation ? Truly it bewilders one. 
 
 r
 
 APPENDIX. 6l 
 
 NOTE TO APPENDIX. 
 
 The Adamic chronology ends with Lamech and Noah, then the text 
 proceeds to the preparation of the ark. The last two verses [Gen. v. 31, 
 32) seem to determine the measures of the pyramid in another but an 
 equivalent set of measures than those used in the garden. The Hebrew 
 reads very perculiarly (besides from right to left), in such form that a 
 different value will be read from left to right. It says: And all the days 
 of Lamech were {sic from right to left) 
 
 (years) hundred one seven and (years) seventy and seven. 
 17 07 7 
 
 Read from left to right, the cipher becomes meaningless, and the values 
 read. 
 
 (i.) 1777- 
 
 It then says: And Noah was Ben Cfiomesk, or 
 
 son of 5; 
 that is, his letters are N — ch, or 5 — 8, which is S cubes of 5 to the side, 
 equals a cube of 10 to the edge; the object being to show that he is a unit 
 of measure, founded on the number 5. But as so7t of 5 he is 5, which 
 value we can use for his name, as we can the number 3 in place of the 
 names of his sons. It reads: " Noah was son of 5, one hundred (years), 
 and Noah (5), begat eth Shem, eth Cham, and eth Japhet;" that is, he be- 
 gat 3, that is, Shem, Ham, and Japhet. So reading the sentence from 
 right to left, for the characteristic numbers denoted, and we have 
 
 3515 
 which arrangement discovers 
 
 (2.) 5153 
 
 But take the three sons as mentioned, and we have (from right to left) 
 
 Shem, M S 
 
 Ham, M Ch 
 
 I 
 and Japhet, T P V 
 
 Substitute the values of the letters, in the same order, and we have 
 
 (3-) 4 3 
 
 4 8 
 
 I 
 4 S 6
 
 62 SUPPLEMENT TO SOURCE OF MEASURES. 
 
 Again: Noah was 600 years old. He was the son of Lamech; and the 
 years of the world to the begetting of Noah, were 1056 
 
 Then adding the 600 of Noah, 600 
 
 Sum, 1656 
 
 where we have, by reverse reading, 
 (4-) 6561 
 
 Again: 1056 is the ^ of one mile, for 
 
 1056X5=^5280 
 which shadows out the value 
 
 10 5 6 5 
 I H V H 
 or the yekovah value as a measure. 
 
 In (2.) and (4.) we have 6561: 5153 the source of the pyramid. 
 In (3.) we have 444, 381, and 486, and in (i.) we have 1777. 
 Now the pyramid in circumference of base is 1777 cubits; in length of 
 side of base it is 444 cubits; and, also, in length of side of base it is 381 
 feet multiplied by 2; and its height is 4S6 feet. 
 
 Thus, in development, we see a passage from the use of the number 12 
 used in the garden, to feet and cubits, with the source of 6561 : 5153; be- 
 sides, also, the other form of 113 ; 355, which is contained also in these 
 verses, but more obscurely. 
 
 It was presented to the inner vision of Emanuel Swer^enborg, as re- 
 gards correspondences, that in the unseen, as here, the Hebrew holds the 
 same rank as a language; it being there especially the vehicle of Divine 
 teaching. It was shown him as to its uses, that it is understood, or read, 
 agreeably to the rank of the heaven. In the lowest heaven it is received and 
 appreciated in its simple narrative form, or aspect; while he says, as some- 
 thing strange to his understanding, in the innermost heaven it is read as 
 consisting of numbers which, in infinite but harmonic arrangement, teach 
 the Divine constructive process of the entire universe. He furthermore 
 says, that it is there the love and delight of the angelic hosts to acquire 
 from the contents of the Divine Book fin Hebrew), as numbers, the men- 
 tal constructive designs of the Creator. This communication, strange to 
 his apprehension, not familiar to his culture, abrupth- injected, as it were, 
 into his thought, he simply enunciates as a memorable and strange teach- 
 ing. The instance stands out, as far as the author can gather, as phe- 
 nomenal in all Swedenborg's writings, as a matter utterly de hers his
 
 APPENDIX. 63 
 
 natural cognitions, or possible conceptions. Such, being the case, we, to 
 a certain extent, find that however he came by the enunciation, he was 
 speaking of just that property of tne language, which can be asserted as, 
 not a possibility, but its discoverea real characteristic m the Hebrew Bible, 
 in the uses of its terms, at the same time linguistic and numerical. To the 
 author's comprehension, coupling the present discovery of Biblical use, 
 with Swedenborg's assertion made over one hundred j'ears ago, there 
 arises a most remarkable test of the spiritual illumination of Swedenborg 
 necessarily. The matter grows stranger when, in these present discover- 
 ies, very learned Jews recognize the long lost keys to their ancient Kab- 
 bala.
 
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