DIALLING MADE EASY: OR, TABLES CALCULATED  
For the Latitude of OXFORD, (but will serve without sensible Difference for most Parts of England.) By the Help of which, and a Line of Chords, the Hour-lines may quickly and exactly be Described upon most sorts of Useful DIAL'S.  
With some Brief Directions for Making Two sorts of Spot-dials'.  
By T. E.  
OXFORD, Printed by L. Lichfield, for Sam. Clarke Bookseller. 1692.   

Die Veneris, 21 April, 1648.  
ORdered by the Lords and Commons assembled in Parliament, that the Boursers and Treasurers of the Colleges in Oxford shall retain and keep such monies as they have received, without making any dividend until they shall receive order from the Committee of Lords and Commons for the reformation of the University of Oxon. And that from henceforth, all Tenants, and such others as are to pay money or other duties to any College in the University of Oxford, shall pay the same to the ●eads of houses appointed by authority of Parliament, respectively, or to those whom they shall appoint to receive the same: and to no other. And that the Acquittance, or Acquittances, of such Heads of houses, or of such as they shall appoint to receive the same, shall be a sufficient warrant and discharge, to the several Tenants for the payment thereof accordingly: notwithstanding any condition in their Leases to the contrary.  
Hen. Elsing, Cler. Parl. Dom. Com.   

TO THE READER.  
I Think it will not be inconvenient to premise some things concerning these Tables, before I give the Uses of Them.  
This Calculation as it was the Product of leisure Hours, so it was at first purely designed for private Use: But understanding that several Persons Mathematically inclined, were wishing that something of this Nature was extant, I was not unwilling that these Tables should appear in Public.  
Seeing then they lie open to Censure, some will perhaps say, Since I had taken the Pains of Calculating to 60 Degr. I should have completed the whole Quadrant of Declination. To this I Answer, That in Dial's declining more than 60 deg. the Angle which the Style makes with the Substile is so small, that the Hour-lines will be of no competent distance, and consequently of no, or little use: But to supply this defect, I have laid down a Method to draw Dial's that decline beyond 60 deg. almost as easy as if the Tables had been extended to 90 deg.  
Perhaps another Objection may be raised, That these Tables being calculated only for the Latitude of 51 deg. 45 min. they will be of no use any where else. To this I might reply, That they were chiefly designed for no other Place, and Printed only for the Benefit of Young Students in this University: but if they serve for any Place within 2 deg. on each side their proper Latitude (as I am sure they will, allowing One Minute's difference,) there will be no great reason to Complain.   

DIALLING made Easy, & ' c.  

Fig. I. To Draw an Horizontal Dial.  
1. DRaw the line A, B for 6 and 6 morning and evening.  
2. N, S perpendicular to A, B; this shall be the 12 a Clock Line.  
3. Let C the Intersection of the foresaid lines be the centre of your Dial, then take in your Compasses 60 degrees of a line of chords, and with that distance upon the centre C draw an obscure segment of a circle as A m B.  
4. Turn to your Table of Horizontal Spaces, and see what degrees and minutes answer to 1 and 11; you find they are 11d d 53′: take therefore 11d d 53′ out of your line of chords, and set it from m to a a, on both sides the Meridian. Likewise take 24d d 23′ for the 2d and 10th hour, and set it from m to b b. Take 38d d 9′ and set it from m to c c; work after the same manner for the remaining hours.  
5. From the centre C through each of these these points a, b, c, d, e, draw lines, which shall be the hours required. The intermediate spaces, viz. Quarter, half, and three-quarters of an hour, are drawn after the same method.  
6. Lastly, The stile or cock of your Dial must always make an angle equal to the Lat. of the place. Take therefore 51d d 45′ out of your line of chords and set it from m to n, through C and n draw the line C n.  
Note. 1. That the stile must stand at right angles with the plane upon the 12 a clock line.  
2. That the 12 a clock line must be set exactly North and South.  
3. That the whole plane must be laid parallel to the Horizon.  
4. That the 2 hours above the line of 6, are drawn by extending the 2 opposite hour-lines through the centre, as 4 morning is drawn by extending 4 afternoon.   

Fig. II. Directions for a Prime-Vertical, or, Direct South Dial.  
THere is little difference between describing a Vertical and Horizontal Dial; only Observe,  
1. That the angle which every hour-line makes with the Meridian must be taken from the Table of Prime-Vertical Spaces, and pricked down on the segment of the circle A, B, m, as before directed in the Horizontal Dial.  
2. That the angle which the stile makes with the Meridian must be 38d d 15′ always the Compliment of your Latitude.  
Note. That the stile must stand at right angles with the plane.  
2. That the Face of the Dial must look exactly South, and be placed perpendicular to the Horizon.   

Fig. III. To draw a direct North Dial.  
THis is as easy as the former: For a South Dial inverted is a North Dial. But because this Dial looketh toward the North part of the Meridian, to which, in these middle Latit. without the Tropics, the Sun never comes; therefore must the hours about Midnight be omitted; as 9, 10, 11 and 12 at Night, and 1, 2 and 3 in the Morn: and the hours 4, 5, 7 and 8 must be extended thro' the centre C, as directed in drawing the Horizontal Dial: So you will have the hours of 4, 5, 6, 7 and 8 in the Morning, and 4, 5, 6, 7 and 8 in the Evening.  
Note. That the stile of this Dial must point upward to the North Pole, as the South Dial did downward to the South Pole.   

Fig. IV. Directions for drawing an East and West Dial  
1. Upon the point C if it be an East Dial, or upon the point D if a West, with 60d d of your line of chords, draw an obscure segment of a Circle E, F; then take 38d d 15′ the Co-Latitude of your Place, and set it from E to F, draw C F thro' the Plane. Call this line the Equinoctial.  
2. Assume any two points in this Equinoctial at a convenient distance for the hour lines of 11 and 6, and thro' these points G and H draw perpendiculars to the Equinoctial.  
3. On G with a line of chords draw I, K which shall be 15d. From G thro' K draw the line till it intersects the hour of 6 at L.  
4. Upon L with 60d d of chords describe an arch of a circle M, N: between the hour line of 6 and G L. Divide the arch M, N into five parts with 15 degrees of chords. Then turn to your Table for East and West Dial's, and see what numbers stand against each hour, (and the intermediate spaces, if you please to put them in,) take the said numbers out of your line of chords, and put them upon the arch N M from N to M.  
5. Lay a rule from L to each of those divisions o o o, etc. and where the rule intersects the Equinoctial line, make marks x x x, etc. Lines drawn thro' these points x x x, etc. parallel to the hour line of 6, shall be true hour lines for an East plane from 6 to 11; but if you transfer the same distances on the Equinoctial before 6 as there be after 6, and thro' those distances draw lines parallel to 6: you will have also hours before 6, as 5, 4, etc.  
Note. 1. That the stile may be a plate of Brass or Iron of the same breadth as is the distance between 6 and 9 on the Equinoctial, and fixed upon the line 6 6, perpendicular to the plane.  
2. That an East and West Dial is the same in all respects, save that the hour lines of 4, 5, 6, 7, 8, Morn. in an East Dial, must be 8, 7, 6, 5, 4, Even. on the West Dial.   

Fig. V. Directions for an Equinoctial Dial.  
1. DEscribe a circle A B C D with 60d d of a line of chords.  
2. Draw the Diameters A C and B D at right angles, in the centre O. A C shall be the hour of 12, and B D the hour of 6.  
3. Turn to your Table of Equinoctial Dial's, and see what numbers answer to every hour; take the said numbers from your line of chords, and prick them down in the circle A B C D on both sides the line of 12: draw lines from these points thro' the centre O, and your work is done.  
Note. 1. That the Plane of this Dial represents the plane of the Equinoctial, and must be elevated the same number of Degrees toward the South, as the Equator in your Latitude is.  
2. That the line of 12 must stand exactly North and South.  
3. You must make a Dial on both sides the plane, for the Sun shines half the year on one side, and half the year on tother.  
4. The Gnomon must be a Pin or Wire thrust thro' the centre, and standing perpendicular to the plane on both sides.   

Fig. VI Directions for a Polar Dial.  
1. DRaw the line A I, then on A the centre describe the segment B C D, with 60 deg. of chords.  
2. Draw E F perpendicular to A I at C, and G H parallel to E F.  
3. Divide the segment with such numbers as your Table for a Polar or Equinoctial gives you, beginning to divide at C.  
4. From A thro' each Division draw lines till they touch E F.  
5. Perpendiculars made at these intersections to E F will be the hour-lines.  
Note. 1. That the stile must stand upon 12, and be equal to the extent between 12 and 3.  
2. That G H must be placed Horizontally and Prime-vertically.  
3. The Plane must recline so many degrees as the Pole doth.   

Fig. XI. Directions for finding the Declination of a Wall.  
I Suppose the Benefit and Usefulness of these Tables may be seen in what has been said already: but their use will much more appear in the inserting of hour-lines upon Declining Planes, for which they were chiefly intended.  
Before I give directions for Decliners, 'twill be proper to show how to find the Declination of a Wall or Window.  
1. Draw a Horizontal Line on the Wall or Plane you would take the Declination of.  
2. Fix a plain Board having one straight edge to this line, and parallel to the Horizon.  
3. Draw a Line perpendicular to the straight edge, and when the Sun shines thereon, hold up a Line and Plummet, so that the shadow of the Line may fall upon the Board, crossing that perpendicular line, and make two pricks in the shadow a good way distant from one another, and then instantly take the altitude of the Sun with a Quadrant.  
4. Lay a Ruler to these two pricks, and draw a line which shall be the Sun's Azimuth on the Board.  
5. With the altitude before found, see what the Sun's Azimuth is on Collins' Quadrant.  
6. Take the intersection of the shadow line with the perpendicular for a centre, and thereon with 60 deg. of chords describe a segment of a circle I K, then from I toward K set the Azimuth found, and thro' K and the centre draw a right line for the Meridian.  
7. Lastly, The Arch intercepted between the Meridian on the Board, and the perpendicular line applied to your line of chords gives the Declination.  
Note. That the Azimuth must be set on the arch of the circle that way that the true South is.  

An other Way to find the Declination.  
1. SET one side of a Quadrant horizontally to the Wall; hold up a string and plummet when the Sun shines, and move the string till the shadow of it passes thro' the centre of the Quadrant.  
2. See what degree of the limb, the shade falls upon, reckoning from the side of the Quadrant which is perpendicular to the Wall; then instantly take the Sun's altitude, and find his Azimuth by Collins' Quadrant.  
3. If the shade of the string fell between true South and the perpendicular side of the Quadrant, add the deg. of the shade to the Azimuth, the sum gives the Declination; but if the Meridian or South was between the shade and perpendicular, (which is easily known considering what time of day it is) then subtract the shade from the Azimuth, the remainder gives the Declination.    

Fig. VII. Directions for a Declining Dial.  
Let the Declination given be Twenty Degrees Westward.  
1. DRaw the line N S for 12 a Clock.  
2. In this line choose a centre as C, upon which with 60 degrees of chords describe an obscure circle.  
3. Turn to your Table of Requisites, and see what is the Substile's distance in 20d d of Declin. 'Tis 15 d 5′. take the said distance out of your line of chords, and set it from M to S: thro' C and S draw an obscure line for the substile.  
4. Now turn to your Declination in Table of hour distances from substile, and see what numbers stand against each hour (and ¼ part, if you would insert them in your Dial) transfer these numbers by help of your line of chords into the circle, from S toward A, B, and thro' the points draw lines from C the centre of your Dial; these are the hours required▪  
5. And Lastly, In your Table of Requisites, under the style's height, and opposite to 20d d of Declin. you'll find 35d d 34′ Set this distance from S to T, then draw C, T, and you have the height of your Cock or Gnomon.  
Note. 1. That the larger the Radius of your line of Chords is, the better you will insert the distances.  
2. If the Declination be East, the Substile must be placed on the left side the Meridian; and those hours that are next to the Numbers in your Table must be used: but the contrary, if Declination be West.  
3. That the Gnomon must be fixed upon the Substile, and stand at right angles with the Plane.   

Fig. VIII. Directions for a far Decliner.  
BEcause these Tables extend no farther than 60 deg. of Declination (and if they had been calculated to 90 deg. they would have been of little use, because the style's height being so small, the hour-lines would have been of no competent distance) and because sometimes there may be occasion to make a Dial for a greater declination, I will show a Geometrical way to draw such, by help of a line of chords only.  
Let the Declinat. given be 64d d West.  
1. Make a line B C perpendicular to the Horizon of the Plane.  
2. Upon C describe the arch Q S, than out of the Table of Requisites take the Substile's distance, and set it from Q to N; take also the style's height, and set it from N to h.  
3. Draw C D for Substile, and C E for the Style: Then at any convenient distance draw K L parallel to C E the Style. Also assume any two points in the Substile, and thro' them draw the perpend. F G, and H I  
4. Take the nearest extent from T to K L, and from U to K L, and set it from T to R, and from U to D.  
5. Upon D and R, with a line of chords describe two arches of a circle, and set off the inclination of the Meridian from M toward P, and from N to O. With 15d d of chord divide the segments into equal parts, beginning at O and P.  
6. Lay a Rule on D, and each division in the arch o n, and mark the intersection of the rule with F G: Then lay the rule to R, and work after the same manner in the other Arch, and H I  
7. Lastly, Thro the marks made in H I, and G F, draw the hour-lines.  
Note. 1. When the Plane declines Westward, the perpendicular C D must be put on the right hand: Et vice versâ.  
2. That the Inclination of Meridian must be set on the same side the Substile with the perpendicular C B.   

Fig. IX. and XII. Directions for making the Spot Dial.  
HAving given some Directions for using these Tables in most sorts of common plain Dial's, I should now conclude; but I suppose it will not be unwelcome to some young Practitioners in Dialling, if I give a short and easy Method for making Spot Dial's. 'Tis true one Clerk has treated largely on this subject already, and as he tells the Reader that he believes little will be added by him that comes after, to what he shall there say; so in my judgement he has said a great deal too much, for by endeavouring to make the thing appear more plain, he has made it the more confused and obscure. I shall be as brief as may be.  
There are two sorts of these Dial's, one in which the Spot moves to the lines, the other in which the lines move to the Spot: I will speak of the first chiefly, because more useful, though the second more curious.  
1. Then you must get a Wood frame, about an Inch and ¼ thick, 7 Inches long, and about 4 broad: order the Joiner to cut this Board sloping from A B C D till he meets with the square a b c d, on the other side, and let him make two Grooves or Rappits as you see in Fig. IX to receive two Glasses. Let the Glass A B C D be 5 inches ½ long, and 3 inches broad. The Glass a b c d may be of any size, the less the better. F G H I must be taken off, and put on at pleasure, having Rappits in it also to keep the Glasses fixed. Let the distance between the two Glasses in the frame be One inch exactly if you can, but there is no great need of being so curious. So much for the Frame.  
2. Having found the Declination of your Window, if it has any, draw your Dial upon Paper as above directed: with the Substile and Style upon it.  
3. Now to find where the Spot will be; remember that it will be always in the substile, and as far distant from the stile as is the distance between the two Glasses.  
Take therefore the distance of both Glasses as they lie in the Frame, between the points of your Compass, then lay one side of your square on the substile, and the other crossing the stile; then move the square upon the substile till the extent of the compass does exactly touch both stile and substile, and in that point of the substile which does touch the square, exactly in the angle make the spot ☉; then prick the Paper thro' with a Pin, and on the backside also make a Spot with Ink.  
4. Draw the line A B perpendicular to the 1 2 a clock line, and either thro' the spot, or a little above it. That part of the Dial that is above this line may be cut off, being of no use.  
5. When you have finished your Dial on the Paper, wet it with Gum-water, or any thing that will make the Figured side stick to the Glass, so as that the hour-lines may appear thro' it, and that the line of 1 2 may be perpendicular to the Horizon when the Frame is laid in your Window.  
6. Place both your Glasses in the Frame, then laying it flat upon the Table with the lesser Glass toward you, look thro' it till you can see your reflected Eye, and the spot of Ink on the backside of the Dial in a right line, then while your Eye is in that posture, with your Pen make a mark upon the Glass which will just cover the spot below. Next passed a piece of Paper upon the other side of this Glass, through which Paper, when it is dry, cut a little hole opposite to the mark before made; then dawb the other part of the Paper round the hole with Ink, that it may admit nolight. Having done this, put the Glass again into its place, and fastening the top to your Frame, set it close to your Glass-Window, and the Sun entering thro' the little hole will cast its Ray upon the opposite hour-lines, and so give the time of day.  
Note. That if you please you may lay aside the Glasses, and use strong Dutch Paper alone; first wetting it, and then pasteing the edges of it, strain it upon your Frame so stiff as may be without cracking it. Paste also another Paper on the backside of your Frame, and when both are dry, thrust a straight Needle thro' the Dial spot till it does just touch the Paper on the backside, then by the help of a Rule and Square, setting the Rule upon the substile, and keeping it upright with your square, direct the top of your Needle by the side of the square, till it stands exactly upright in the angle which is made by the rule and square, when it is in this posture, push the Needle quite thro' the lower Paper, and that will be the hole thro' which the Sun must shine. This sort of Dial does look very well till the heat of the Sun warps the Paper, and so makes the Hour lines crooked.  
That sort of Dial wherein the hour-lines move to the spot is only the former inverted: But whereas the Frame in the former was cut sloping, in this it must be cut straight thro', that the hour-lines may all appear upon the opposite Paper; and note also that the Glasses must be of an equal bigness, and the backside of your Paper on which the Dial is drawn must be fastened to the Glass, that you may with a Penknife cut out the Hour-lines and Figures, so the Sun shining thro' these spaces, will form artificial lines upon the oppose Paper, and move one after the other by the spot, as the Sun moves in the Heavens.  
Thus I have been as short, and (I hope) as perspicuous as may be in these Directions, and if I can have the Happiness to please some (for I do not expect to satisfy all) I have my end.  

All Instruments for the Mathematics are Made by JOHN PRUJEAN in OXON.     

The Three Requisites in Dialling Calculated to every Degree of Declination in Lat. 51.45.  
Declinat. style's Height. Substile's Distance a Merid. Inclination of Meridian. Declinat. style's Height. Substile's Distance a Merid. Inclination of Meridian.  ° ′ ° ′ ° ′  ° ′ ° ′ ° ′ 1 38. 14 0. 47 1. 16 46 25. 29 29. 33 52. 50 2 38. 13 1. 34 2. 32 47 24. 58 29. 58 53. 48 3 38. 11 2. 21 3. 48 48 24. 28 30. 22 54. 45 4 38. 8 3. 8 5. 4 49 23. 58 30. 45 55. 41 5 38. 5 3. 55 6. 20 50 23. 27 31. 8 56. 39 6 38. 0 4. 42 7. 37 51 22. 56 31. 30 57 34 7 37. 55 5. 28 8. 51 52 22. 24 31. 51 58. 29 8 37. 49 6. 14 10. 6 53 21. 52 32. 12 59 23 9 37. 42 7. 2 11. 25 54 21. 20 32. 32 60. 19 10 37. 34 7. 48 12. 40 55 20. 48 32. 51 61. 12 11 37. 26 8. 33 13. 54 56 20. 15 33. 10 62. 6 12 37. 16 9 18 15. 8 57 19 42 33. 28 63. 0 13 37. 06 10. 2 16. 21 58 19 9 33. 46 63. 52 14 36. 55 10. 48 17. 38 59 18. 35 34. 3 64. 45 15 36. 43 11. 32 18. 51 60 18. 2 34. 19 65. 36 16 36. 31 12. 15 20. 3 61 17. 28 34. 35 66. 30 17 36. 18 12. 59 21. 17 62 16. 54 34. 50 67. 19 18 36. 2 13. 41 22. 28 63 16. 19 35. 5 68 11 19 35. 50 14. 24 23. 41 64 15. 45 35. 19 69. 2 20 35. 34 15. 5 24. 51 65 15. 10 35. 32 69. 51 21 35. 19 15. 47 26. 4 66 14. 35 35. 46 70. 45 22 35. 2 16. 27 27. 13 67 14. 0 35. 58 71. 34 23 34. 44 17. 7 28. 23 68 13. 44 36. 10 72. 25 24 34. 26 17. 47 29. 33 69 12. 49 36. 21 73. 13 25 34. 8 18. 15 30. 38 70 12. 13 36. 32 74. 4 26 33. 49 19 4 31. 51 71 11. 38 36. 42 74. 52 27 33. 29 19 41 32. 58 72 11. 2 36. 51 75. 38 28 33. 8 20. 19 34. 7 73 10. 26 37. 1 76. 32 29 32. 47 20. 55 35. 13 74 9 34 37. 9 77. 17 30 32. 25 21. 31 36. 20 75 9 13 37. 17 78. 5 31 32. 3 22. 6 37. 26 76 8. 37 37. 25 78. 57 32 31. 40 22. 40 38. 30 77 8. 9 37. 32 79. 46 33 31. 17 23. 14 39 35 78 7. 24 37. 37 80. 31 34 30. 53 23. 47 40. 39 79 6. 47 37. 44 81. 19 35 30. 28 24. 19 41. 42 80 6. 10 37. 50 82. 12 36 30. 3 24. 52 42. 47 81 5. 41 37. 54 82. 52 37 29. 36 25. 23 43. 50 82 4. 57 37. 59 83. 47 38 29. 12 25. 53 44. 51 83 4. 19 38. 2 84. 23 39 28. 45 26. 23 45. 53 84 3. 43 38. 6 85. 21 40 28. 18 26. 52 46. 53 45 3. 05 38. 9 86. 12 41 27. 51 27. 21 47. 55 86 2. 29 38. 11 86. 54 42 27. 23 27. 49 48. 54 87 1. 52 38. 13 87. 50 43 26. 55 28. 16 49. 54 88 1. 12 38. 14 88 26 44 26. 26 28. 42 50. 53 89 0. 37 38. 14 88 53 45 25. 57 29. 8 51. 51 90 0. 0 38. 15 90. 00  A Table showing what angle every quarter, half and 3 quarters of an hour makes in a horizontal Dial.  A Table for the same angles in a directsouth Dial.  A Table for the same angles in an Equinoctial and Polar Dial. In Lat. 51. d. 45. m.  ° ′  ° ′  ° ′ 12 00. 00 12 00. 00 12 00. 00 1 02. 57 1 02. 19 1 03. 45 2 05. 54 2 04. 40 2 7. 30 3 08. 52 3 07. 01 3 11. 15 11.1 11. 53 11.1 09. 25 11.1 15. 00 1 14. 55 1 11. 52 1 18. 45 2 18. 01 2 14. 23 2 22. 30 3 21. 10 3 16. 58 3 26. 15 10.2 24. 23 10.2 19 40 10.2 30. 00 1 27. 41 1 22. 28 1 33. 45 2 31. 04 2 25. 24 2 37. 30 3 34. 33 3 28. 30 3 41. 15 9.3 38. 09 9.3 31. 46 9.3 45. 00 1 41. 51 1 35. 13 1 48. 45 2 45. 40 2 38. 54 2 52. 30 3 49. 36 3 42. 49 3 56. 15 8.4 53. 40 8.4 47. 00 8.4 60. 00 1 57 53 1 51. 27 1 63. 45 2 62. 11 2 56. 13 2 67. 30 3 66. 37 3 61. 15 3 72. 15 7.5 71. 09 7.5 66. 36 7.5 75. 00 1 75. 38 1 72. 11 1 78. 45 2 80. 29 2 77. 00 2 82. 30 3 85. 14 3 83. 58 3 86. 15 6.6 90. 00 6.6 90. 00 6.6 90. 00   

A Table of Hour-Distances, and Parts of an Hour from the Substile.  
Declin. 1  2  3  ° ′  ° ′  ° ′ 6.6 87. 57 3 91. 58 3 89. 55 1 81. 56 6.6 85. 55 6.6 82. 18 2 76. 00 1 79. 54 1 77. 54 3 70. 16 2 74. 02 2 72. 05 5.7 64. 45 3 68 22 3 66. 30 1 59 31 5.7 62. 56 5.7 61. 10 2 54. 33 1 57 46 1 56. 07 3 49. 54 2 52. 57 2 51. 21 4.8 45. 59 3 48. 47 3 46. 54 1 41. 27 4.8 44. 07 4.8 42. 43 2 37. 37 1 40. 07 1 38. 48 3 34. 01 2 36. 22 2 35. 08 3.9 30. 37 3 32. 50 3 31. 41 1 27. 25 3.9 29. 31 3.9 28. 25 2 24. 23 1 26. 22 1 25. 20 3 21. 30 2 23. 24 2 22. 24 2.10 18. 44 3 20. 35 3 19 36 1 16. 05 2.10 17. 49 2.10 16. 55 2 13. 31 1 15. 12 1 14. 20 3 11. 02 2 12. 40 2 11. 49 1.11 8. 36 3 10. 12 3 9 22 1 6. 13 1.11 7. 47 1.11 6. 58 2 3. 52 1 5. 25 1 4. 37 3 2. 08 2 3. 40 2 2. 17  Substile.     Substile. 12 0. 47 3 0. 45 3 0. 02     sub.    1 3. 06 12 1. 34 12 2. 21 2 5. 27 2 3. 34 1 4. 41 3 7. 49 1 6. 14 2 7. 02 11.1 10. 14 3 8. 38 3 9 26 1 12. 42 11.1 11. 04 11.1 11. 53 2 15. 15 1 13. 33 1 14. 24 3 17. 53 2 15. 46 2 17. 00 10.2 20. 35 3 18. 46 3 19 41 1 23. 26 10.2 21. 32 10.2 22. 29 2 26. 25 1 24. 25 1 25. 25 3 29. 34 2 27. 26 2 28. 30 9.3 32. 54 3 30. 39 3 31. 46 1 36. 25 9.3 34. 03 9.3 35. 13 2 40. 11 1 37. 39 1 38. 54 3 44. 11 2 41. 30 2 42. 50 8.4 48. 27 3 45. 35 3 47. 00 1 53. 01 8.5 49. 57 8.4 51. 29 2 57 53 1 54. 37 1 56. 14 3 63. 01 2 59 34 2 61. 18 7.5 68 27 3 64. 49 3 66. 38 1 74. 07 7.5 70. 20 7.5 72. 14 2 79. 58 1 76. 05 1 78. 03 3 86. 05 2 82. 00 2 84. 02 Declin. 4  5  6  ° ′  ° ′  ° ′ 3 87. 52 3 85. 47 2 88 07 6.6 81. 49 6.6 79. 48 3 83. 44 1 75. 53 1 73. 55 6.6 77. 45 2 70. 09 2 68 14 1 71. 55 3 64. 31 3 62. 48 2 66. 18 5.7 59 23 5.7 57 39 3 60. 58 1 54. 26 1 52. 48 5.7 55. 55 2 49. 47 2 48 15 1 51. 09 3 45. 26 3 43. 59 2 46. 42 4.8 41. 20 4.8 39 59 3 42. 33 1 37. 30 1 36. 15 4.8 38. 37 2 33. 55 2 32. 43 1 34. 58 3 30. 32 3 29. 24 2 31. 31 3.8 27. 20 3.9 26. 16 3 28. 16 1 24. 18 1 23. 17 3.9 25. 11 2 21. 25 2 20. 27 1 22. 16 3 18. 40 3 17. 45 2 19 28 2.10 16. 01 2.10 15. 07 3 16. 49 1 13. 27 1 12. 36 2.10 14. 14 2 10. 58 2 10. 10 1 11. 44 3 8. 33 3 7. 44 2 9 17 1.11 6. 10 1.11 5. 22 3 6. 55 1 3. 49 1 3. 02 1.11 4. 34 2 1. 30 2 0. 36 1 2. 14  Substile.  Substile.  Substile. 3 0. 49 3 1. 36 2 0. 04 12 3. 08 12 3. 55 3 2. 23 1 5. 28 1 6. 16 12 4. 43 2 7. 50 2 8. 38 1 7. 03 3 10. 15 3 11. 04 2 9 26 11.1 12. 43 11.1 13. 32 3 11. 52 1 15. 15 1 16. 06 11.1 14. 24 2 17. 52 2 18. 45 1 16. 58 3 20. 35 3 21. 31 2 19 39 10.2 23. 26 10.2 24. 24 3 22. 27 1 26. 25 1 27. 26 10.2 25. 23 2 29. 33 2 30. 38 1 28. 28 3 32. 53 3 34. 01 2 31. 34 9.3 36. 25 9.3 37. 37 3 35. 11 1 40. 10 1 41. 28 9.3 38. 51 2 44. 11 2 45. 33 1 42. 47 3 48. 28 3 49. 56 2 46. 58 8.4 53. 01 8.4 54. 36 3 51. 27 1 57 53 1 59 34 8.4 56. 13 2 63. 03 2 64. 49 1 61. 17 3 68 29 3 70. 21 2 66. 39 7.5 74. 10 7.5 76. 07 3 72. 16 1 80. 03 1 82. 04 7.5 78. 07 2 86. 04 2 88 07 1 84. 07 Declin. 7  8  9  ° ′  ° ′  ° ′ 2 87. 48 2 84. 46 2 83. 36 3 81. 44 3 79. 43 3 77. 35 6.6 75. 47 6.6 73. 48 6.6 71. 44 1 70. 01 1 68 05 1 66. 06 2 64. 29 2 62. 38 2 60. 44 3 59 14 3 57 29 3 55. 44 5.7 54. 16 5.7 52. 37 5.7 50. 55 1 49. 37 1 48. 03 1 46. 28 2 45. 15 2 43. 47 2 42. 17 3 41. 10 3 39 48 3 38. 23 4.8 37. 20 4.8 36. 03 4.8 34. 44 1 33. 45 1 32. 32 1 31. 18 2 30. 23 2 29. 16 2 28. 04 3 27. 11 3 26. 07 3 25. 00 3.9 24. 11 3.9 23. 09 3.9 22. 06 1 21. 19 1 20. 20 1 19 19 2 18. 33 2 17. 38 2 16. 40 3 15. 55 3 15. 01 3 14. 07 2.10 13. 23 2.10 12. 31 2.10 11. 38 1 10. 54 1 10. 04 1 9 12 2 8. 29 2 7. 40 2 6. 50 3 6. 08 3 5. 20 3 4. 30 1.11 3. 47 1.11 3. 01 1.11 2. 12        Sub. 1 1. 29 1 0. 43 1 0. 06  Sub.  Sub.    2 0. 50 2 1. 36 2 2. 24 3 3. 09 3 3. 54 3 4. 43 12 5. 28 12 6. 14 12 7. 02 1 7. 49 1 8. 36 1 9 14 2 10. 13 2 11. 00 2 11. 50 3 12 41 3 13. 29 3 14. 20 11.1 15. 12 11.1 16. 02 11.1 16. 54 1 17. 49 1 18. 40 1 19 34 2 20. 31 2 21. 25 2 22. 21 3 23. 22 3 24. 17 3 25. 16 10.2 26. 20 10.2 27. 18 10.2 28. 21 1 29. 28 1 30. 30 1 31. 35 2 32. 47 2 33. 52 2 35. 02 3 36. 19 3 37. 28 3 38. 44 9.3 40. 04 9.3 41. 20 9.3 42. 39 1 44. 04 1 45. 24 1 46. 50 2 48. 22 2 49. 44 2 51. 19 3 52. 56 3 54. 28 3 56. 06 8.4 57 48 8.4 59 26 8.4 61. 12 1 62. 59 1 64. 43 1 66. 35 2 68 26 2 70. 16 2 72. 14 3 74. 09 3 76. 04 3 78. 07 7.5 80. 03 7.5 82. 02 7.5 83. 36 1 86. 06 1 88 07 1 89. 44 Declin. 10  11  12  ° ′  ° ′  ° ′ 1 87. 41 1 85. 39 1 83. 36 2 81. 34 2 79. 32 2 77. 31 3 75. 34 3 73. 35 3 71. 36 6.6 69. 46 6.6 67. 51 6.6 65. 56 1 64. 13 1 62. 22 1 60. 33 2 58. 56 2 57 11 2 55. 27 3 53. 58 3 52. 19 3 50. 40 5.7 49. 18 5.7 47. 45 5.7 46. 13 1 44. 57 1 43. 30 1 42. 02 2 40. 52 2 39 30 2 38. 10 3 37. 04 3 35. 46 3 34. 32 4.8 33. 29 4.8 32. 16 4.8 31. 05 1 30. 08 1 28. 59 1 27. 55 2 26. 57 2 25. 53 2 24. 50 3 23. 57 3 22. 56 3 21. 57 3.9 21. 06 3.9 20. 08 3.9 19 10 1 18. 22 1 17. 27 1 16. 32 2 15. 45 2 14. 52 2 14. 00 3 13. 14 3 12. 23 3 11. 32 2.10 10. 46 2.10 9 57 2.10 9 08 1 8. 23 1 7. 35 1 6. 47 2 6. 01 2 5. 15 2 4. 28 3 3. 43 3 2. 57 3 2. 12        sub. 1.11 1. 25 1.11 0. 40 1.11 0. 05  sub.  sub.    1 0. 52 1 1. 36 1 2. 21 2 3. 10 2 3. 54 2 4. 38 3 5. 35 3 6. 10 3 6. 57 12 7. 48 12 8. 33 12 9 18 1 10. 18 1 10. 57 1 11. 42 2 12. 43 2 13. 23 2 14. 10 3 15. 15 3 15. 55 3 16. 43 11.1 17. 51 11.1 18. 32 11.1 19 22 1 20. 33 1 21. 17 1 22. 08 2 23. 22 2 24. 08 2 25. 01 3 26. 21 3 27. 09 3 28. 05 10.2 29. 29 10.2 30. 20 10.2 31. 19 1 32. 38 1 33. 41 1 34. 45 2 36. 20 2 37. 17 2 38. 25 3 40. 05 3 41. 07 3 42. 19 9.3 44. 07 9.3 45. 13 9.3 46. 30 1 48. 32 1 49. 36 1 51. 00 2 53. 00 2 54. 17 2 55. 48 3 57 55 3 59 17 3 60. 55 8.4 63. 08 8.4 64. 36 8.4 66. 22 1 68 38 1 70. 11 1 73. 35 2 74. 23 2 76. 02 2 77. 57 3 80. 21 3 82. 04 3 84. 03 7.5 86. 27 7.5 88 12 7.5 90. 13 Declin. 13  14  15  ° ′  ° ′  ° ′ 1 81. 35 1 79. 27 7.5 83. 34 2 75. 32 2 73. 26 1 77. 25 3 69. 40 3 67. 38 2 71. 26 6 6. 64. 03 6.6 62. 07 3 65. 42 1 58. 45 1 56. 54 6.6 60. 16 2 53. 45 2 52. 00 1 55. 09 3 49. 05 3 47. 26 2 50. 25 5.7 44. 43 5.7 43. 10 3 45. 53 1 40. 38 1 39 11 5.7 40. 38 2 36. 46 2 35. 28 1 37. 49 3 33. 16 3 31. 59 2 34. 11 4.8 29. 55 4.8 28. 43 3 30. 46 1 26. 46 1 25. 38 4.8 27. 35 2 23. 35 2 22. 42 1 24. 34 3 20. 56 3 19 56 2 21. 42 3.9 18. 14 3.9 17. 16 3 18. 58 1 15. 39 1 14. 43 3.9 15. 41 2 13. 08 2 12. 15 1 13. 32 3 10. 39 3 9 51 2 11. 24 2.10 8. 20 2.10 7. 30 3 9 02 1 6. 08 1 5. 12 2.10 6. 43 2 3. 43 2 2. 56 1 4. 27 3 1. 27 3 0. 40 2 2. 11  sub.  sub.  sub 1.11 0. 49 1.11 1. 35 3 0. 03 1 3. 05 1 3. 49 1.11 2. 18 2 5. 22 2 6. 07 1 4. 33 3 7. 40 3 8. 27 2 6. 51 12 10. 02 12 10. 49 3 9 10 1 12. 27 1 13. 14 12 11. 32 2 14. 30 2 15. 44 1 13. 58 3 17. 30 3 18. 20 2 16. 29 11.1 20. 11 11.1 21. 03 3 19 17 1 22. 58 1 23. 52 11.1 21. 51 2 25. 55 2 26. 51 1 24. 43 3 29. 00 3 30. 01 2 27. 45 10.2 32. 18 10.2 33. 22 3 30. 57 1 35. 48 1 36. 56 10.2 34. 22 2 39 33 2 40. 46 1 37. 23 3 43. 32 3 44. 51 2 41. 55 9.3 47. 49 9.3 49. 14 3 46. 07 1 52. 25 1 53. 57 9.3 50. 36 2 57 12 2 58. 58 1 55. 25 3 62. 33 3 64. 18 2 60. 33 8.4 68 04 8.4 69. 57 3 66. 00 1 73. 52 1 75. 51 8.4 71. 45 2 79. 52 2 81. 56 1 77. 44 3 86. 01 3 88 08 2 83. 54 7.5 92. 14 7.5 94. 23 3 90. 10 Declin. 16  17  18  ° ′  ° ′  ° ′ 7.5 81. 33 7.5 79. 28 7.5 77. 27 1 75. 24 1 73. 22 1 71. 22 2 69. 29 2 67. 29 2 65. 31 3 64. 20 3 61. 54 3 60. 03 6.6 58. 28 6.6 56. 39 6.6 54. 53 1 53. 26 1 51. 43 1 50. 04 2 48. 44 2 47. 08 2 45. 33 3 44. 22 3 42 52 3 41. 21 5.7 40. 19 5.7 38. 53 5.7 37. 31 1 36. 30 1 35. 10 1 33. 54 2 32. 56 2 31. 42 2 30. 30 3 29. 36 3 28. 27 3 27. 18 4.8 26. 29 4.8 25. 23 4.8 24. 19 1 23. 31 1 22. 29 1 21. 29 2 20. 43 2 19 44 2 18. 47 3 18. 02 3 17. 06 3 16. 12 3.9 15. 28 3.9 14. 35 3.9 13. 43 1 12. 59 1 12. 08 1 11. 19 2 10. 30 2 9 46 2 8. 58 3 8. 15 3 7. 27 3 6. 42 2.10 5. 58 2.10 5. 11 2.10 4. 27 1 3. 42 1 2. 57 1 2. 16 2 1. 28 2 0. 43 2 0. 00  sub.  sub.  sub. 3 0. 47 3 1. 30 3 2. 11 1.11 3. 01 1.11 3. 44 1.11 4. 24 1 5. 16 1 5. 59 1 6. 39 2 7. 32 2 8. 16 2 8. 56 3 9 57 3 10. 35 3 11. 16 12 12. 15 12 12. 59 12 13. 41 1 14. 42 1 15. 27 1 16. 09 2 17. 14 2 18. 01 2 18. 44 3 19 53 3 20. 41 3 21. 26 11.1 22. 39 11.1 23. 58 11.1 24. 15 1 25. 33 1 26. 29 1 27. 15 2 28. 38 2 29. 34 2 30. 26 3 31. 54 3 32. 54 3 33. 50 10.2 35. 22 10.2 36. 27 10.2 37. 26 1 39 06 1 40. 15 1 41. 19 2 43. 05 2 44. 20 2 45. 30 3 47. 22 3 48. 43 3 49. 59 9.3 51. 58 9.3 53. 25 9.3 54. 51 1 54. 26 1 58. 28 1 59 58 2 62. 09 2 63. 50 2 65. 28 3 67. 43 3 69. 31 3 71. 16 8.4 73. 34 8.4 75. 29 8.4 77. 20 1 79. 39 1 81. 39 1 83. 35 2 85. 53 2 87. 57 2 89. 56 3 92. 11 3 94. 15 3 97. 55 Declin. 19  20  21  ° ′  ° ′  ° ′ 7.5 75. 22 3 79. 35 3 77. 12 1 69. 22 7.5 73. 23 7.5 71. 02 2 63. 38 1 66. 56 1 65. 09 3 58. 13 2 61. 45 2 59 36 6.6 53. 09 3 56. 26 3 54. 24 1 48. 52 6.6 51. 28 6.6 49. 32 2 44. 02 1 46. 51 1 45. 03 3 39 58 2 42. 33 2 40. 52 5.7 36. 10 3 38. 34 3 37. 00 1 32. 38 5.7 34. 32 5.7 33. 33 2 29. 19 1 31. 25 1 30. 11 3 26. 13 2 28. 10 2 27. 02 4.8 23. 17 3 25. 08 3 24. 03 1 20. 30 4.8 22. 16 4.8 21. 15 2 17. 51 1 19 33 1 18. 35 3 15. 19 2 16. 57 2 16. 12 3.9 12. 52 3 14. 27 3 13. 35 1 10. 30 3.9 12. 03 3.9 11. 13 2 8. 12 1 9 43 1 8. 55 3 5. 56 2 7. 26 2 6. 40 2.10 3. 43 3 5. 12 3 4. 27 1 1. 30 2.10 3. 00 2.10 2. 17  sub.       2 0. 42 1 0. 49 1 0. 06     sub.  sub. 3 2. 53 2 1. 22 2 2. 04 1.11 5. 07 3 3. 44 3 4. 13 1 7. 21 1.11 5. 46 1.11 6. 27 2 9 39 1 08. 00 1 8. 42 3 11. 59 2 10. 18 2 10. 59 12 14. 24 3 12. 39 3 13. 21 1 16. 54 12 15. 04 12 15. 47 2 19 31 1 17. 36 1 18. 20 3 21. 47 2 20. 13 2 20. 59 11.1 25. 07 3 22. 59 3 23. 49 1 28. 09 11.1 25. 54 11.1 26. 44 2 31. 23 1 28. 58 1 29. 52 3 34. 50 2 32. 16 2 33. 13 10.2 38. 32 3 35. 47 3 36. 48 1 42. 30 10.2 39 33 10.2 40. 40 2 46. 46 1 43. 36 1 44. 49 3 51. 22 2 47. 59 2 49. 18 9.3 56. 18 3 52. 42 3 54. 11 1 61. 35 3.9 57 45 9.3 59 19 2 67. 12 1 63. 09 1 64. 05 3 73. 08 2 68 54 2 70. 43 8.4 79. 18 3 74. 56 3 76. 51 1 85. 37 4.8 81. 11 8.4 83. 13 2 92. 01 1 87. 35 1 88 41 3 98. 23 2 94. 02 2 96. 09 Declin. 22  23  24  ° ′  ° ′  ° ′ 3 75. 28 3 73. 58 3 71. 21 7.5 69. 20 7.5 67. 53 7.5 65. 21 1 63. 30 1 62. 05 1 59 40 2 58. 01 2 56. 39 2 54. 23 3 52. 54 3 51. 36 3 49. 28 6.6 4●. 08 6.6 46. 55 6.6 44. 55 1 43. 43 1 42. 34 1 40. 43 2 39 38 2 38. 34 2 36. 49 3 35. 51 3 34. 50 3 33. 13 5.7 32. 19 5.7 31. 22 5.7 29. 52 1 29. 02 1 28. 08 1 26. 44 2 25. 57 2 25. 07 2 23. 07 3 23. 02 3 22. 16 3 21. 01 4.8 20. 17 4.8 19 33 4.8 18. 23 1 17. 40 1 16. 59 1 15. 52 2 15. 10 2 14. 31 2 13. 28 3 12. 46 3 12. 08 3 11. 08 3.9 10. 26 3.9 9 51 3.9 8. 53 1 8. 10 1 7. 36 1 6. 41 2 5. 56 2 5. 25 2 4. 31 3 3. 46 3 3. 15 3 2. 23 2.10 1. 36 2.10 1. 09 2.10 0. 15  sub.  Sub.  Sub. 1 0. 33 1 1. 02 1 1. 45 2 2. 43 2 3. 16 2 4. 00 3 4. 53 3 5. 25 3 6. 09 1.11 7. 05 1.11 7. 37 1.11 8. 21 1 9 20 1 9 58 1 10. 35 2 11. 38 2 12. 16 2 12. 54 3 14. 00 3 14. 38 3 15. 17 12 16 .27 12 17. 06 12 17. 46 1 18. 58 1 19 41 1 20. 22 2 21. 41 2 22. 24 2 23. 07 3 24. 30 3 25. 15 3 26. 01 11.1 27. 31 11.1 28. 18 11.1 29. 06 1 30. 42 1 31. 32 1 32. 24 2 34. 06 2 35. 01 2 35. 56 3 37. 46 3 38. 45 3 39 42 10.2 41. 42 10.2 42. 46 10.2 43. 53 1 45. 58 1 47. 08 1 48. 20 2 50. 53 2 51. 50 2 53. 10 3 55. 30 3 57 09 3 58. 22 9.3 60. 47 9.3 62. 21 9.3 63. 57 1 66. 28 1 68 09 1 69. 53 2 72. 28 2 74. 26 2 76. 06 3 78. 43 3 80. 38 3 82. 36 8.4 85. 10 8.4 87. 10 8.4 89. 12 1 91. 41 1 93. 45 1 95. 49 2 98. 11 2 100 15 2 102. 20 Declin. 25  26  27  ° ′  ° ′  ° ′ 2 75. 46 2 73. 31 2 71. 29 3 69. 30 3 67. 18 3 65. 20 7.5 63. 30 7.5 61. 26 7 5 59 32 1 58. 30 1 55. 58 1 54. 10 2 52. 27 2 50. 53 2 49. 11 3 47. 54 3 46. 11 3 44. 36 6.6 43. 27 6.6 41. 50 6.6 40. 22 1 39 21 1 37. 50 1 36. 29 2 35. 32 2 34. 09 2 32. 17 3 32. 02 3 30. 43 3 29. 33 5.7 28. 46 5.7 27. 33 5.7 26. 20 1 25. 42 1 24. 33 1 23. 32 2 22. 49 2 21. 45 2 20. 47 3 20. 08 3 19 06 3 18. 10 4.8 17. 31 4.8 16. 35 4.8 15. 43 1 15. 02 1 14. 10 1 13. 21 2 12. 41 2 11. 51 2 11. 04 3 10. 24 3 9 36 3 8. 51 3.9 8. 11 3.9 7. 26 3.9 6. 43 1 6. 00 1 5. 16 1 4. 37 2 3. 52 2 3. 09 2 2. 30 3 1. 45 3 1. 04 3 0. 26  Sub.  sub.  Sub. 2.10 0. 21 2.10 1. 02 2.20 1. 38 1 2. 28 1 3. 07 1 3. 43 2 4. 35 2 5. 14 2 5. 49 3 6. 44 3 7. 23 3 7. 57 1.11 8. 55 11.1 9 34 1.11 10. 08 1 11. 1● 1 11. 49 1 12. 33 2 13. 29 2 14. 08 2 14. 43 3 15. 52 3 16. 33 3 17. 09 12 18. 23 12 19 04 12 19 41 1 21. 00 1 21. 43 1 22. 22 2 23. 46 2 24. 31 2 25. 12 3 26. 42 3 27. 30 3 28. 13 11.1 29. 50 11.1 30. 41 11.1 31. 28 1 33. 12 1 34. 07 1 34. 56 2 36. 48 2 37. 48 2 38. 43 3 40. 42 3 41. 48 3 42. 48 10.2 44. 55 10.2 46. 07 10.2 47. 42 1 49. 29 1 50. 49 1 52. 03 2 54. 26 2 55. 53 2 57 15 3 59 45 3 61. 21 3 62. 52 9.3 65 28 9.3 67. 13 9.3 68 52 1 71. 32 1 73. 26 1 75. 13 2 77. 53 2 79. 55 2 81. 49 3 84. 28 3 ●6. 35 3 88 35 8.4 91. 08 8.4 93. 19 8.4 95. 26 1 97. 47 1 10. 00 1 102. 03 Declin 28  29  30  ° ′  ° ′  ° ′ 2 69. 23 1 73. 49 1 71. 39 3 63. 18 2 67. 28 2 65. 20 7.5 57 37 3 61. 29 3 59 24 1 52. 21 7.5 55. 54 7.5 53. 57 2 47. 29 1 50. 44 1 48. 52 3 43. 00 2 46. 00 2 44. 14 6.6 38. 54 3 41. 38 3 39 59 1 35. 06 6.6 37. 37 6.6 36. 05 2 31. 36 1 33. 55 1 32. 30 3 28. 21 2 30. 30 2 29. 10 5.7 25. 19 3 27. 20 3 26. 05 1 22. 29 5.7 24. 21 5.7 23. 13 2 19 48 1 21. 35 1 20. 31 3 17. 16 2 18. 58 2 17. 58 4.8 14. 51 3 16. 28 3 15. 33 1 12. 32 4.8 14. 06 4.8 13 13 2 10. 18 1 11. 49 1 11. 01 3 8. 07 2 9 36 2 8. 50 3.9 6. 00 3 7. 27 3 6. 44 1 3. 55 3.9 5. 22 3.9 4. 41 2 1. 51 1 3. 17 1 2. 38  Sub.       3 0. 12 2 1. 15 2 0. 37     Sub.  Sub. 2.10 2. 15 3 0. 48 3 1. 23 1 4. 19 2.10 2. 50 2.10 3. 24 2 6. 25 1 4. 54 1 5. 27 3 8. 32 2 7. 00 2 7. 31 1▪ 11 10. 44 3 9 08 3 9 39 1 12. 59 1.11 11. 20 1.11 11. 49 2 15. 19 1 13. 36 1 14. 05 3 17. 45 2 15. 57 2 16. 26 12 20. 19 3 18. 25 3 18. 55 1 23. 01 12 20. 55 12 21. 31 2 25. 54 1 23. 45 1 24. 17 3 28. 58 2 26. 40 2 27. 14 11.1 32. 16 3 29. 47 3 30. 24 1 35. 49 11.1 33. 09 11.1 33. 49 2 39 40 1 36. 47 1 37. 31 3 43. 51 2 40. 43 2 41. 33 10.2 48. 24 3 45. 01 3 45. 56 1 53. 20 10.2 49. 40 10.2 50. 44 2 58. 42 1 54. 44 1 55. 57 3 64. 28 2 60. 14 2 61. 35 9.3 70. 37 3 66. 08 3 67. 40 1 77. 06 9.3 73. 22 9.3 74. 05 2 83. 49 1 79. 00 1 80. 53 3 90. 40 2 85. 48 2 87. 50 8.4 97. 30 3 92. 42 3 94. 49 1 104. 11 4.8 ●9. 31 8.4 101. 42 Declin 31  32  33  ° ′  ° ′  ° ′ 1 69. 34 1 67. 32 8.4 71. 59 2 63. 19 2 61. 21 1 65. 28 3 57 29 3 55. 38 2 59 23 7.5 52. 07 7.5 50. 22 3 53. 46 1 47. 11 1 45. 33 7 5 48. 37 2 42. 40 2 41. 09 1 43. 55 3 38. 32 3 37. 07 2 39 38 6 34. 44 6.6 33. 25 3 35. 43 1 31. 14 2 30. 01 6.6 32. 08 2 28. 01 2 26. 53 1 29. 01 3 25. 00 3 23. ●8 2 25. 46 5.7 22. 12 5.7 21. 14 3 22. 56 1 19 34 1 18. 39 5.7 20. 16 2 17. 05 2 16. 13 1 17. 45 3 14. 43 3 13. 54 2 15. 23 4.8 12. 26 4.8 11. 41 3 13. 07 1 10. 07 1 9 32 4.8 10. 56 2 8. 08 2 7. 27 1 8. 50 3 6. 04 3 5. 26 2 6. 47 3 9 4. 02 3.6 3. 25 3 4. 47 1 2. 02 1 1. 27 3.9 2. 49     sub.    2 0. 02 2 0. 32 1 0. 52  sud.     sub. 3 1. 57 3 2. 29 2 1. 05 2.10 3. 58 2.10 4. 29 3 3. 02 1 5. 59 1 6. 30 1 5. 00 2 8. 03 2 8. 34 2 7. 01 3 10. 10 3 10. 40 3 9 04 1.11 12. 21 1.11 12. 52 1.11 11. 10 1 14. 38 1 15. 08 1 13. 22 2 16. 38 2 17. 30 2 15. 39 3 19 28 3 20. 03 3 18. 01 12 22. 06 12 22. 40 12 20. 33 1 24. 54 1 25. 30 1 23. 14 2 27. 54 2 28. 32 2 26. 06 3 31. 07 3 31. 48 3 29. 10 11.1 34. 36 11.1 35. 21 11.1 32. 31 1 37. 45 1 39 13 1 36. 08 2 42. 30 2 43. 27 2 40. 05 3 47. 00 3 48. 04 3 44. 25 10.2 51. 56 10.2 53. 07 10 2 49. 10 1 57 18 1 58. 38 1 54. 21 2 63. 06 2 64. 36 2 60. 02 3 69. 20 3 70. 59 3 66. 10 9.3 75. 57 9.3 77. 45 9.3 72. 44 1 82. 50 1 84. 46 1 79. 39 2 89. 52 2 91. 48 2 86. 48 3 96. 56 3 98. 59 3 94. 01 8.4 103. 49 8.4 105. 53 8.4 101. 08 Declin. 34  35  36  ° ′  ° ′  ° ′ 8.4 69. 53 8.4 67. 46 8.4 65. 37 1 63. 25 1 61. 24 1 59 20 2 57 26 2 55. 31 2 53. 41 3 51. 57 3 50. 08 3 48. 19 7.5 46. 54 7.5 45. 14 7.5 43. 32 1 42. 2● 1 40. 47 1 39 13 2 38. 09 2 36. 43 2 35. 17 3 34. 21 3 33. 00 3 31. 42 6.6 30. 52 6.6 29. 39 6.6 28. 25 1 27. 39 1 26. 31 1 25. 23 2 24. 47 2 23. 38 2 22. 35 3 21. 55 3 20. 57 3 19 58 5.7 19 20 5.7 18. 25 5.7 17. 31 1 16. 53 1 16. 02 1 15▪ 11 2 14. 34 2 13. 46 2 12. 59 3 12. 21 3 11. 36 3 10. 52 4.8 10. 13 4.8 9 3● 4.8 8. 49 1 8. 09 1 7. 30 1 6. 50 2 6. 09 2 5. 31 2 4. 54 3 4. 11 3 3. 35 3 3. 00 3.9 2. 14 3.9 1. 40 3.9 1. 07     Sub.  sub. 1 0. 08 1 0. 14 1 0. 46  sub.       2 1. 37 2 2. 08 2 2. 39 3 3. 33 3 4. 03 3 4. 33 2.18 5. 31 2.10 6. 00 2.10 6. 29 1 7. 30 1 7. 59 1 8. 27 2 9 33 2 10. 00 2 10. 29 3 11. 40 3 12. 07 3 12. 35 1.11 13. 51 1.11 14. 18 1.11 14. 47 1 16. 08 1 16. 36 1 17. 05 2 18. 32 2 19 01 2 19 31 3 21. 04 3 21. 35 3 22. 06 12 23. 47 11.1 24. 19 12 24. 52 1 26. 41 1 27. 15 1 27. 51 2 29. 49 2 30. 26 2 31. 05 3 33. 12 2 33. 53 3 34. 36 11.1 36. 54 12 37. 40 11.1 38. 31 1 40. 57 1 41. 48 1 42. 43 2 45. 23 2 46. 22 2 47. 24 3 50. 16 3 51. 23 3 52. 34 10.2 55. 37 11.1 56. 53 10.2 58. 15 1 61. 40 1 62. 53 1 64. 26 2 67. 42 2 69. 23 2 71. 07 3 74. 30 3 76. 17 3 78. 13 9.3 81. 34 9.3 83. 31 9.3 85. 34 1 88 50 1 90. 54 1 93. 04 2 96 07 2 98. 14 2 100 28 3 103. 16 3 105. 24 3 107. 37 Declin. 37  38  39  ° ′  ° ′  ° ′ 3 70. 12 3 68 05 3 65. 55 8.4 63. 30 8.4 61. 28 8.4 59 23 1 57 19 1 55. 24 1 53. 26 2 51. 4 2 49. 52 2 48. 02 3 46. 32 3 44. 52 3 43. 11 7.5 41. 54 7.5 40. 22 7.5 38. 48 1 37. 42 1 36. 17 1 34. 55 2 33. 53 2 32. 35 2 31. 16 3 30. 24 3 29. 13 3 28. 00 6.6 27. 13 6.6 26. 07 6.6 25. 00 1 24. 17 1 23. 16 2 22. 14 2 21. 33 2 20. 37 3 19 40 3 19 01 3 18. 09 1 17. 16 5.7 16. 38 5.7 15. 49 5.7 14. 59 1 14. 22 1 13. 37 1 12. 51 2 12. 13 2 11. 30 2 10. 48 3 10. 09 3 9 29 3 8. 49 4.8 8. 09 4.8 7. 31 4.8 6. 54 1 6. 12 1 5. 37 1 5. 02 2 4. 18 2 3. 45 2 3. 11 3 2. 26 3 1. 54 3 1. 23        Sub. 3.9 0. 35 3.9 0. 05 3.9 0. 26  sub.  Sub.    1 1. 16 1 1. 45 1 2. 14 2 3. 08 2 3. 36 2 4. 03 3 5. 01 3 5. 28 3 5. 54 2.10 6. 56 2.10 7. 22 2.10 7. 48 1 8. 54 1 9 19 1 9 44 2 10. 55 2 11. 21 2 11. 45 3 13. 01 3 13. 26 3 13. 51 1.11 15. 13 1.11 15. 40 1.11 16. 03 1 17. 31 1 17. 58 1 18. 22 2 19 58 2 20. 25 2 20. 51 3 22. 34 3 22. 03 3 23. 31 12 25. 23 12 25. 53 12 26. 23 1 28. 24 1 28. 57 1 29. 30 2 31. 41 2 32. 18 2 32. 55 3 35. 17 3 35. 58 3 36. 40 11.1 39 14 11.1 40. 01 11.1 40. 49 2 43. 36 1 44. 30 1 45. 25 1 48. 25 2 49. 27 2 50. 31 3 53. 45 3 54. 56 3 56. 10 10.2 59 35 10.2 60. 58 10.2 62. 24 1 65. 58 1 67. 32 1 69. 11 2 71. 52 2 74. 36 2 76. 26 3 80. 07 3 82. 02 3 84. 03 9.3 87. 02 9.3 89. 42 9.3 91. 50 1 95. 13 1 97. 21 1 99 33 2 102. 40 2 104. 49 2 107. 02 Declin. 40  41  42  ° ′  ° ′  ° ′ 3 63. 48 2 68 31 2 66. 20 8.4 57 22 3 61. 37 3 59 32 1 51. 32 8.4 55. 18 8.4 53. 21 2 46. 17 1 49. 37 1 47. 47 3 41. 33 2 44. 31 2 42. 49 7.5 37. 18 3 39 55 3 38. 23 1 33. 28 7.5 35. 49 7.5 34. 22 2 30. 00 1 32. 06 1 30. 48 3 26. 50 2 28. 45 2 27. 33 6.6 23. 56 3 24. 59 3 24. 35 1 21. 19 6.6 22. 52 6.6 21. 52 2 18. 46 1 20. 16 1 19 21 3 16. 15 2 17. 51 2 17. 01 5.7 14. 13 3 15. 35 3 14. 47 1 12. 08 5.7 13. 26 5.7 12. 43 2 10. 07 1 11. 23 1 10. 42 3 8. 10 2 9 26 2 8. 47 4.8 6. 18 3 7. 33 3 6. 56 1 4. 28 4.8 5. 42 4.8 5. 08 2 2. 40 1 3. 55 1 3. 24 3 0. 53 2 2. 09 2 1. 40  sub.     sub. 3.9 0. 54 3 0. 24 3 0. 04     Sub.    1 2. 40 3.9 1. 22 3.9 1. 48 2 4. 29 1 3. 08 1 3. 32 3 6. 19 2 4. 54 2 5. 18 2.10 8. 11 3 6. 43 3 7. 06 1 10. 07 2.10 8. 34 2.10 8. 57 2 12. 8 1 10. 31 1 10. 52 3 14. 13 2 12. 3● 2 12. 53 1.11 16. 15 3 14. 37 3 14. 57 1 18. 46 1.11 16. 50 11.1 17. 11 2 21. 19 1 19 11 1 19 33 3 23. 57 2 21. 41 2 2● .04 12 26. 52 3 24. 24 3 24 .48 1 30. 01 12 27. 31 12 27. 49 2 23. 29 1 30. 34 1 31. 04 3 37. 20 2 34. 07 2 34. 42 11.1 41. 31 3 38. 02 3 38. 43 1 46. 18 11.1 42. 24 11.1 43. 11 2 51. 34 1 47. 17 1 48. 13 3 57 24 2 52. 42 2 53. 48 10.2 63. 49 3 58. 44 3 60. 02 1 70. 49 10.2 65. 23 8.4 67. 14 2 78. 17 1 72. 35 1 74. 20 3 86. 04 2 89. 16 2 82. 13 9.3 93. 58 3 88 13 3 90. 21 1 101. 45 9.3 96. 13 9.3 98. 26 2 109. 13 1 104. 03 1 106. 17 Declin. 43  44  45  ° ′  ° ′  ° ′ 2 64. 06 2 61. 53 2 66. 51 3 57 24 3 55. 18 3 59 38 8.4 51. 21 8.4 49. 24 8.4 53. 14 1 45. 57 1 44. 09 1 47. 30 2 41. 08 2 39 29 2 42. 24 3 36. 50 3 35. 20 3 37. 54 7.5 32. 59 7 5 31. 36 7.5 33. 52 1 29. 31 1 28. 15 1 30. 17 2 26. 22 2 25. 13 2 27. 02 3 23. 30 3 22. 27 3 24. 07 6.6 20. 52 6.6 19 54 6.6 21. 26 1 18. 26 1 17. 32 1 18. 58 2 16. 09 2 15. 19 2 16. 41 3 14. 00 3 13. 19 3 14. 32 5.7 11. 58 5.7 11. 16 5.7 12. 31 1 10. 02 1 9 23 1 10. 36 2 8. 11 2 7. 34 2 8. 46 3 6. 22 3 5. 48 3 6. 59 4.8 4. 37 4.8 4. 05 4.8 5. 16 1 2. 53 1 2. 24 1 3. 37 2 1. 11 2 0. 43 2 1. 56  sub.  Sub.    3 0. 34 3 0. 57 3 0. 17        sub. 3 9 2. 13 3.9 2. 38 3.9 1. 21 1 3. 56 1 4. 19 1 3. 01 2 5. 41 2 6. 03 1 4. 41 3 7. 28 3 7. 49 2 6. 23 2.10 9 17 2.10 9 39 3 8. 08 1 11. 13 1 11. 32 2.10 9 57 2 13. 12 2 13. 32 1 11. 50 3 15. 18 3 15. 37 2 13. 49 1.11 17. 31 1.11 17. 51 3 15. 55 1 19 54 1 20. 14 1.11 18. 09 2 22. 28 2 22. 49 1 20. 34 3 25. 14 3 25. 37 2 23. 09 12 28. 16 11.1 28. 42 3 25. 58 1 31. 36 1 32. 06 12 29. 08 2 35. 18 2 35. 52 1 32. 34 3 39 25 3 40. 06 2 36. 26 11.1 44. 01 12 44. 50 3 40. 47 1 49. 11 1 50. 10 11.1 45. 39 2 54. 59 2 56. 10 1 51. 10 3 61. 25 3 62. 50 2 57 22 10.2 68 31 11.1 70. 11 3 64. 17 1 76. 11 1 78. 05 10.2 71. 53 2 84. 16 2 86. 22 1 80. 02 3 92. 32 3 94. 47 2 88 31 9.3 100 43 9.3 103. 02 3 97. 03 1 108. 35 1 110. 52 9.3 105. 21 Declin. 46  47  48  ° ′  ° ′  ° ′ 1 64. 32 1 62. 10 1 59 54 2 57 29 2 55. 15 2 53. 08 3 51. 12 3 49. 08 3 47. 10 8.4 45. 37 8.4 43. 43 8.4 41. 56 1 40. 41 1 38. 57 1 37. 20 2 36. 20 2 34. 45 2 33. 17 3 32. 27 3 31. 01 3 29. 41 7.5 28. 59 7.5 27. 41 7.5 26. 28 1 25. 52 1 24. 41 1 23. 35 2 23. 02 2 21. 57 2 20. 57 3 20. 27 3 19 27 3 18. 32 6.6 18. 04 6.6 17. 09 6.6 16. 19 1 15. 51 1 15. 01 1 14. 14 2 13. 46 2 13. 00 2 12. 18 3 11. 49 3 11. 06 3 10. 28 5.7 9 57 5.7 9 18 5.7 9 9 1 8. 09 1 7. 33 1 6. 59 2 6. 25 2 5. 52 2 4. 40 3 4. 44 3 4. 14 3 3. 45 4.8 3. 06 4.8 2. 38 4.8 2. 11 1 1. 28 1 1. 02 1 0. 37  Sub.  sub.  sub. 2 0. 08 2 0. 33 2 0. 56 3 1. 45 3 2. 08 3 2. 29 3.9 3. 23 3.9 3. 44 3.9 3. 58 1 5. 02 1 4. 16 1 4. 07 2 6. 44 2 7. 02 2 7. 20 3 8. 28 3 8. 45 3 9 02 2.10 10. 16 2.10 10. 33 2.10 10. 48 1 12. 09 1 12. 25 1 12. 40 2 14. 08 2 14. 24 2 14. 39 3 16. 14 3 16. 30 3 16. 45 1.11 18. 29 1.11 18. 45 1.11 19 01 1 20. 53 1 21. 11 1 21. 27 2 23. 31 2 23. 50 2 24. 08 3 26. 24 3 26. 45 3 27. 05 12 29. 33 12 29. 58 12 30. 22 1 33. 06 1 33. 38 1 34. 03 2 37. 04 2 37. 38 2 38. 12 3 41. 31 3 42. 13 3 42. 56 11.1 46. 34 11.1 47. 25 11.1 48. 18 1 52. 15 1 53. 20 1 54. 25 2 58. 41 2 60. 00 2 61. 21 3 65. 51 3 67. 26 3 69. 04 10.2 73. 43 10.2 75. 34 10.2 77. 29 1 82. 06 1 84. 13 1 86. 23 2 90. 47 2 93. 05 2 95. 33 3 99 25 3 101. 41 3 104. 15 9.3 107. 44 9.3 109. 06 9.3 112. 33 Declin. 49  50  51  ° ′  ° ′  ° ′ 9.3 95. 5 9.3 62. 35 9.3 60. 13 1 57 38 1 55. 18 1 53. 05 2 51. 02 2 48. 53 2 46. 50 3 45. 02 3 43. 17 3 41. 26 8.4 40 11 8.4 38. 25 8.4 36. 44 1 35. 45 1 34. 09 1 32. 38 2 31. 51 2 30. 24 2 29. 02 3 28. 23 3 27. 04 3 25. 51 7.5 25. 17 7.5 24. 06 7.5 22. 59 1 22. 30 1 21. 25 1 20. 24 2 19 58 2 18. 59 2 18. 04 3 17. 39 3 16. 45 3 15. 54 6.6 15. 30 6.6 14. 41 6.6 13. 54 1 13. 30 1 12. 44 1 12. 02 2 11. 36 2 10. 55 2 10. 16 3 9 49 3 9 11 3 8. 35 5.7 8. 06 5.7 7. 31 5.7 6. 58 1 6. 27 1 5. 55 1 5. 26 2 4. 52 2 4 22 2 3. 54 3 3. 18 3 2 50 3 2. 25 4.8 1. 45 4.8 1. 57 4.8 0. 57     sub.  sub. 1 0. 14 1 0. 10 1 0. 35  sub.       2 1. 17 2 1. 40 2 1. 59 3 2. 50 3 3. 10 3 3. 28 3.9 4. 23 3.9 4. 42 3.9 4. 57 1 5. 58 1 6. 15 1 6. 31 2 7. 34 2 7. 52 2 8. 06 3 9 17 3 9 31 3 9 45 2.10 11. 03 2.10 11. 18 2.10 11. 30 1 12. 55 1 13. 09 1 13. 20 2 14. 52 2 15. 06 2 15. 18 3 16. 59 3 17. 13 3 17. 24 1.11 19 15 1.11 19 29 1.11 19 41 1 21. 43 1 21. 58 1 22. 11 2 24. 25 2 24. 43 2 24. 57 3 27. 25 3 27. 45 3 28. 03 12 30. 45 12 31. 08 12 31. 30 1 34. 31 1 35. 01 1 35. 27 2 38. 47 2 39 24 2 39 58 3 43. 39 3 44. 25 3 45. 09 11.1 49. 12 11.1 50. 11 11.1 51. 08 1 55. 33 1 56. 48 1 58. 00 2 62. 45 2 64. 17 2 65. 48 3 70. 46 3 72. 37 3 74. 27 10.2 79. 28 10.2 81. 38 10.2 83. 47 1 88 36 1 91. 00 1 93. 19 2 97. 48 2 100 20 2 102. 50 3 106. 40 3 109. 14 3 111. 43 Declin. 52  53  54  ° ′  ° ′  ° ′ 3 65. 31 3 63. 15 3 60. 38 9.3 57 49 9.3 55. 27 9.3 53. 01 1 50. 51 1 48. 40 1 46. 28 2 44. 49 2 42. 50 2 40. 51 3 39 36 3 37. 49 3 36. 02 8.4 35. 05 8.4 33. 29 8.4 31. 53 1 31. 09 1 29. 42 1 28. 17 2 27. 42 2 26. 24 2 25. 07 3 24. 38 3 23. 27 3 22. 18 7.5 21. 54 7.5 20. 50 7.5 19 47 1 19 25 1 18. 28 1 17. 30 2 17. 10 2 16. 17 2 15. 25 3 15. 05 3 14. 17 3 13. 30 6.6 13. 09 6.6 12. 26 6.6 11. 43 1 11. 21 1 10. 41 1 10. 02 2 9 38 2 9 02 2 8. 26 3 8. 01 3 7. 27 3 6. 55 5.7 6. 27 5.7 5. 57 5.7 5. 27 1 4. 54 1 4. 30 1 4. 01 2 3. 27 2 3. 02 2 2. 38 3 2. 00 3 1. 38 3 1. 15        sub. 4.8 0. 35 4.8 0. 14 4.8 0. 07  Sub.  Sub.    1 0. 51 1 1. 10 1 1. 29 2 2. 17 2 2. 34 2 2. 51 3 3. 45 3 4. 00 3 4. 15 3.9 5. 13 3.9 5. 27 3.9 5. 41 1 6. 44 1 6. 57 1 7. 10 2 8. 19 2 8. 30 2 8. 42 3 9 57 3 10. 08 3 10. 18 2.10 11. 41 2.10 11. 51 2.10 12. 00 1 13. 31 1 13. 40 1 13. 49 2 15. 28 2 15. 37 2 15. 46 3 17. 35 3 17. 42 3 17. 53 1.11 19 52 1.11 20. 02 1.11 20. 12 1 22. 23 1 22. 34 1 22. 45 2 25. 11 2 25. 23 2 25. 37 3 28. 19 3 28. 33 3 28. 51 12 31. 51 12 32. 12 12 32. 32 1 35. 54 1 36. 19 1 36. 48 2 40. 32 2 41. 06 2 41. 44 3 45. 54 3 46. 39 3 47. 30 11.1 52. 07 11.1 53. 06 11.1 54. 14 1 59 16 1 60. 34 1 62. 02 2 67. 25 2 69. 03 2 70. 54 3 76. 24 3 78. 25 3 80. 38 10.2 86. 02 10.2 88 21 10.2 90. 42 1 95. 51 1 98. 22 1 101. 04 2 105. 23 2 107. 58 2 110. 41 Declin 55  56  57  ° ′  ° ′  ° ′ 3 58. 08 3 63. 57 3 61. 12 9.3 50. 43 9.3 55. 34 9.3 53. 00 1 44. 22 1 48. 22 1 46. 03 2 38. 58 2 42. 16 2 40. 11 3 34. 21 3 27. 05 3 35. 15 8.4 30. 23 8.4 32. 41 8.4 31. 02 1 26. 56 1 28. 53 1 27. 26 2 23. 54 2 25. 36 2 24. 18 3 21. 13 3 22. 42 3 21. 32 7.5 18. 48 7.5 20. 08 5.7 19 05 1 16. 37 1 17. 50 2 16. 53 2 14. 37 2 15. 44 1 14. 53 3 12. 46 3 13. 49 2 13. 03 6.6 11. 03 6.6 12. 03 3 11. 20 1 9 25 1 10. 23 6.6 9 44 2 7. 53 2 8. 49 1 8. 14 3 6. 25 3 7. 20 3 6. 48 3.7 4. 59 3.7 5. 54 3.7 5. 26 1 3. 36 1 4. 32 2 4. 06 2 2. 15 2 3. 11 1 2. 48 3 0. 55 3 1. 53 3 1. 31  sub.       4.8 0. 26 4.8 0. 34 4.8 0. 15     sub.  sub. 1 1. 45 1 0. 41 1 1. 01 2 3. 06 2 2. 02 2 2. 17 3 4. 29 3 3. 21 3 3. 34 3.9 5. 53 3.9 4. 42 3.9 4. 53 1 7. 21 1 6. 05 1 6. 15 2 8. 51 2 7. 31 2 7. 39 3 10. 27 3 9 00 3 9 08 2.10 12. 08 2.10 10. 35 2.10 10. 41 1 13. 56 1 12. 15 1 12. 21 2 15. 53 2 14. 03 2 14. 07 3 18. 00 3 15. 58 3 16. 04 1.11 20. 19 1.11 18. 06 1.11 18. 11 1 22. 54 1 20. 26 1 20. 31 2 25. 48 2 23. 02 2 23. 09 3 29. 05 3 25. 58 3 26. 07 12 32. 51 12 29. 19 12 29. 32 1 37. 13 1 33. 10 1 33. 28 2 42. 19 2 37. 40 2 38. 07 3 48. 18 3 42. 56 3 43. 35 11.1 55. 20 11.1 49. 10 11.1 50. 05 2 63. 28 1 56. 30 1 57 46 1 72. 44 2 65. 03 2 66. 43 3 82. 51 3 74. 43 3 76. 51 10.2 93. 23 10.2 85. 15 10.2 87. 47 1 103. 43 1 96. 03 1 98. 50 2 113. 19 2 106. 29 2 109. 21 Declin. 58  59  60  ° ′  ° ′  ° ′ 2 58. 30 1 64. 26 1 61. 59 3 50. 32 2 55. 44 2 53. 04 9.3 43. 50 3 48. 01 3 45. 37 1 38. 13 9.3 41. 35 9.3 39 28 2 33. 30 1 36. 14 1 34. 22 3 29. 29 2 31. 45 2 30. 06 8.4 26. 03 3 27. 56 3 26. 29 1 23. 04 8.4 24. 40 8.4 23. 23 2 20. 26 1 21. 50 1 20. 41 3 18. 05 2 19 20 2 18. 18 7.5 15. 59 3 17. 06 3 16. 11 1 14. 04 7.5 15. 05 7.5 14. 16 2 12. 18 1 13. 16 1 12. 31 3 10. 41 2 11. 35 2 10. 54 6.6 9 08 3 10. 01 3 9 24 1 7. 42 6.6 8. 32 6.6 8. 00 2 6. 19 1 7. 09 1 6. 39 3 4. 58 2 5. 39 2 5. 23 5.7 3. 42 3 4. 33 3 4. 08 1 2. 26 5.7 3. 18 5.7 2. 56 2 1. 11 1 2. 05 1 1. 24  sub.       3 0. 02 2 0. 53 2 0. 35     sub.  sub. 4.8 1. 16 3 0. 19 3 0. 34 1 2. 31 4.8 1. 31 4.8 1. 44 2 3. 46 1 2. 44 1 2. 55 3 5. 04 2 3. 57 2 4. 07 3.9 6. 24 3 5. 13 3 5. 21 1 7. 47 3.9 6. 32 3.9 6. 38 2 9 14 1 7. 53 1 7. 58 3 10. 46 2 9 18 2 9 23 2.10 12. 25 3 10. 50 3 10. 53 1 14. 11 2.10 12. 28 2.10 12. 30 2 16. 07 1 14. 13 2 14. 14 3 18. 14 2 16. 09 2 16. 09 1.11 20. 35 3 18. 16 3 18. 16 1 23. 14 1.11 20. 37 1.11 20. 39 2 26. 15 1 23. 18 1 23. 21 3 29. 43 2 26. 22 2 26. 23 12 33. 46 3 29. 54 3 30. 03 1 38. 32 12 34. 03 12 34. 19 2 44. 13 1 38. 58 1 39 24 3 50. 59 2 44. 53 2 45. 31 11.1 59 02 3 51. 57 3 52. 57 1 68 27 11.1 60. 26 11.1 61. 52 2 79. 03 1 70. 19 1 72. 17 3 90. 21 2 81. 25 2 83. 53 10.2 101. 38 3 93. 57 3 95. 57 1 112. 11 10.2 104. 37 10.2 107. 35   

A Table for East and West Dial's.  
 ° ′ 11 00. 00 1 03. 45 2 07. 30 3 11. 15 10 15. 00 1 18. 45 2 22. 30 3 26. 15 9 30. 00 1 33. 45 2 37. 30 3 41. 15 8 45. 00 1 48. 45 2 52. 30 3 56. 15 7 60. 00 1 63. 45 2 67. 30 3 72. 15   

ERRATA.  
PAge 39 line 7. for 47°. 08′. read 48°. 08′. p. 40. l. 19 for 3°. 57′. r. 63°. 57′. p. 42. l. 23. for 46°. 35′. r. 86°. 35′. p. 42. l. 25. for 10°. 00′. r. 100°. 00′. p. 44. l. last, for 69°. 31′. r. 99°. 31′. p. 45. l. 11. for 23°. 28′. r. 23°. 58′. p. 47. l. 18. for 9°. 3′. r. 9°. 31′▪