This is a list of all the questions and their associated study carrel identifiers. One can learn a lot of the "aboutness" of a text simply by reading the questions.
identifier | question |
---|---|
A25363 | And in the Title Page he saith, they are brief Collections from divers Authors: If so, why so many Fundamental Errors? |
A34005 | As the Tangent of 65d, To Tangent of 24d: So the Tangent of 20d, To what Tangent? |
A34005 | IF a Bullet of 4 inches Diameter weigh 9 pound, what shall a Bullet of 8 inches Diameter weigh? |
A34005 | It might as well be said, If 3 cost 6, What 8? |
A34005 | What shall 8 yards? |
A44017 | Again, If a Captain will place his hundred Men in a square Form, must not he take the Root of 100 to make a Rank or File? |
A44017 | And are not those 10 Men? |
A44017 | If this be an Absurdity, have we not then an Argument in Nature to prove that God had a beginning? |
A44017 | Is there any Number so bare, as by it we are not to conceive or consider any thing numbred? |
A44017 | Or by ten Nothings understands he Bare 10? |
A43097 | And the Lord said unto Cain, what hast thou done? |
A43097 | Example, Whither can I fly for redress? |
A43097 | Or to whom shall I apply myself for relief? |
A43097 | an Interrogation noted thus(?) |
A64223 | As 1 is to 4, so is 7, to what? |
A64223 | As the Sine 20 is to the Sine 60, so is the Sine 42, to what Sine? |
A64223 | As the tangent 10 is to the tangent 30, so is the tangent 20, to what? |
A64223 | As the tangent 50 is to the tangent 20, so is the tangent 30, to what? |
A64223 | If 30 men do a work in 5 dayes, how long shall 60 be doing of it? |
A64223 | If 60 men do a work in 5 dayes, how long will 30 men be about it? |
A64223 | so is the tangent 65, to what? |
A29756 | 540 part require 24, what shall 6 days require facit 4 hours and 52 minutes? |
A29756 | 540) require 860 degrees, or 12 signs, what shall ● ny less number of days and part of a day require? |
A29756 | About the middle of March 1661 on a Friday, what day of the month is it? |
A29756 | Again in May 1661. on a Saturday about the end of May, what day of the month? |
A29756 | If 112 l. or 1 C. weight, cost 12 pence the carraiage for 20 miles, what shall 6 C, cost, 100 miles? |
A29756 | what cost 17 3/ 4? |
A29756 | what shall 100 miles require? |
A64224 | ATlas and Hercules whom Poets feign, The heavy load of the Earth to sustain: If so? |
A64224 | Admit 100 pounds Sterling, to be paid at 30 years end; I demand how much it is worth in ready Money? |
A64224 | Admit 90, be to be multiplied by 42, what is the product? |
A64224 | Admit a Ship sails N. W. by N. 372''or Miles, or 124 Leagues, I demand her Difference of Latitude and departure from the Meridian? |
A64224 | Admit an Iron Bullet whose diameter is 4 Inches, weigh 9 pounds; what is the weight of that Bullet whose Diameter is 6 Inches? |
A64224 | Admit that 100 Pioneers, be able in 12 hours to cast a More of a certain length, breadth, and depth; in what time shall 60 Pioneers do the same? |
A64224 | Admit the Circumference of a Circle whose Diameter is 14 parts be 44 parts, what is the Circumference of that Circle, whose Diameter is 21 parts? |
A64224 | Admit the Dividend( or number to be divided) be 648, and the Divisor 72, what is the number that the Quotient shall consist off? |
A64224 | Barbarus has segetes? |
A64224 | Let the Oval given be ABCD, and''t is re ● uired to find the Area or Superficial Content 〈 … 〉 ereof? |
A64224 | Let the side of the Square AA be 4 Perch, what is the Area, or superficial content thereof? |
A64224 | Our noble Friend and Authour what''s thy due? |
A64224 | Suppose the Circumference of a Circle be 44 what is the Diameter? |
A64224 | Suppose the Content of a Circle be 154, what is the Circumference, the Analogy or Proportion? |
A64224 | Suppose the Diameter be 14, what is the Circumference? |
A64224 | Suppose the Superficial Content of a Circle be 154 parts, what is the Diameter thereof? |
A64224 | Suppose there be a Cone as B, whose Diameter of the Base is 7, and his Altitude or Heighth is 15 parts, and his solid Content is required? |
A64224 | Suppose there be a Cube A, whose side is 2 Feet; and his solid Content is required? |
A64224 | Suppose there be a Parallelepipedon B, whose sides of the Base is 40, and 30 Inches, and length 120 Inches, and his Solid Content is demanded? |
A64224 | Suppose there be a Pyramid H, whose side of the Base is 4 ½ parts, or 4 5/ 10, and his Altitude 12 parts, and his solid Content is required? |
A64224 | Suppose there be a Sphere or Globe, whose Diameter is 12 Inches; what is the solid Content thereof? |
A64224 | T hough Archimedes hath much glory got A mongst the Syracusians, why not, Y ea Statues be erected to thy Name? |
A64224 | The Soyl is very fruitfull 〈 … 〉 well manur''d, which made the Poet say — Impius haec tam culta novalia miles habebit? |
A64224 | There is a Roof 14 Feet broad, what length thereof shall make a Square? |
A64224 | the Angle at C, and the Distance of the Lizard from St. Marys? |
A64224 | what will it amount to when the four years are expired? |
A52120 | 100 ∷ 12? |
A52120 | 100 ∷ 17.5? |
A52120 | 103468, give 344; what shall 22803 give? |
A52120 | 808427= 64332 85668 85.668.12 ∷ 124.933? |
A52120 | A B C Put into the Common Stock 15 24 33 72 The Sum whereof is 72 l. and their gain 63 l. what is each Mans Part? |
A52120 | At what Rate of Compound Interest 〈 ◊ 〉 15 l. 10 s. amount to 31 l. 3 s. 9 d. 1 q. in ● ● elve years? |
A52120 | Compound Interest allowed to the Pur ● ● aser? |
A52120 | Compound Interest? |
A52120 | Compound Interest? |
A52120 | Compound Interest? |
A52120 | Compound Interest? |
A52120 | Compound Interest? |
A52120 | Compound Interest? |
A52120 | D p, r, t. Q. a? |
A52120 | D. a, r, t. Q. p? |
A52120 | D. d, r, t. Q. p? |
A52120 | D. p, a, r. Q. t? |
A52120 | D. p, a, t. Q. r? |
A52120 | D. p, d, r. Q. t? |
A52120 | D. p, d, t. Q. r? |
A52120 | D. p, r, t. Q. d? |
A52120 | D. p, r, t: Q. s? |
A52120 | D. p, s, r. Q. t? |
A52120 | D. p, s, t. Q. r? |
A52120 | D. s, r, t. Q. p? |
A52120 | How many Acres, Roods and Perches, according to the Pole of 18 Feet, are contained in 5 Acres, 3 Roods, and 11 Perches, Statute- measure? |
A52120 | How many Acres, Roods and Perches, of Statute- measure are contained in 8 Acres, 3 Roods( or Quarters) and 21 Perches of 21 Feet to the Pole? |
A52120 | How may such a portion of Land be truly protracted and computed? |
A52120 | How may the Center be found? |
A52120 | In a Triangle, whose Base is 3 Chains, and half the Perpendicular 98 Links, what is the Content? |
A52120 | In a long Square, whose length is 14 Chains, and the bredth 6 Chains 5 Links, what is contained? |
A52120 | Q. each Mans part? |
A52120 | The Question is not at all, how the Receiver improves his Payments, but what Improvements was made in the Debtors hands, and the same Rate carried on? |
A52120 | What is the content of a Square, 〈 ◊ 〉 Sides are every one of them 7 Chains, 25 Links? |
A29760 | ( but more to the matter) If 36 bushel cost 30 s. what shall 5 bushels cost? |
A29760 | 15 lb come to? |
A29760 | 31, and it be demanded how many acres it would contain if it were measured with a perch of 18 foot? |
A29760 | 6/ 10 of a farthing more for 1 l. Again, on the contrary, If 1 cost 7 d. farthing, and half a farthing, what cost 112? |
A29760 | Again, If a mark and a half be 1 pound, how many pound is 12 marks? |
A29760 | Compound Interest? |
A29760 | Further, If a Chaldron of Coals cost 36 s. what shall half a Chaldron cost? |
A29760 | If 1 barrel hold 288 pints, how much will a Firkin hold? |
A29760 | If 1 bushel of water- measure be 5 pecks, how many pecks is 16 bushels? |
A29760 | If 1 ounce be 8 drams, how many drams in 9 ounces? |
A29760 | If 1 week be 7 days, how many days is 39 weeks? |
A29760 | If 112 l. cost 2 l. 10 s. 6 d. what cost 21 C. 3 q. and 12 lb? |
A29760 | If 12 Men raise a Frame in 10 days, in how many days might 8 Men raise the like Frame? |
A29760 | If 14 Stone be 1 C. what is 91 Stone? |
A29760 | If 160 perches be 1 acre, how many acres is 395 perches? |
A29760 | If 2 yards of Cl ● th cost 8 s. what cost 11 yards ●? |
A29760 | If 3 yards and ½ of Ribbon cost 3 d. 3 f. and ½, what cost 17 yards and ●? |
A29760 | If 48 men perform a piece of work in 24 hours, how many men may there be to do the like in 4 hours? |
A29760 | If 5 spend ● ● ● ● l. in 3 months, How many pounds will serve 9 Schollars for 6 months? |
A29760 | If 60 pence be 5 shillings, how much is 30 pence? |
A29760 | If 8 foot of Timber b ● worth 10 shilling, how much is 1 ● foot worth? |
A29760 | If 8 furlongs make 1 mile, how much is 60 furlongs? |
A29760 | If a Cube whose side is Inches, contains 216 Inches, how many Inches shall a Cube contain whose side is 12 Inches? |
A29760 | If an Iron Bullet, whose Diameter is 4 Inches, shall weigh 9 pound what shall another Iron Bullet weigh whose Diameter is 8 Inches? |
A29760 | If the Circumference of a Circle, whose Diameter is 7, ● ● 22, what Circumference shall a Circle have, whose Diameter is 14? |
A29760 | If the Content of a Circle whose Diameter is 14, be 154, what will the Content of a Circle be, whose Diameter is 28? |
A29760 | If the increase of 3 bushels of Wheat in one year, be 36 bushels, what shall the increase of 8 bushels be for 7 years? |
A29760 | The way to find the Principal that doth answer to 10 l. is thus: If 6 l. hath 100 for his Principal, what shall 10 have? |
A29760 | This being the fourth part of a barrel, work thus, if 1 give 288, what 25? |
A29760 | What may a Lease of 10 l. per annum, having 15 years to come, be worth in ready money? |
A29760 | and it makes 12 s. 6 d. then say, If one month require 12 s. 6 d. what shall 6 months require? |
A29760 | facit 288 d. which being brought to shillings, is just 24. which you may do thus; If 12 d. be 1 s. how many shall 288 be? |
A29760 | facit 75 s. And the work is thus: First say, If 100 gives 10 s. at one months end, what shall 125? |
A29760 | for 1, what is the price of 100? |
A29760 | have a Diameter that is 14, ● hat shall the Diameter of a Circle ● e, whose content is 616? |
A29760 | what cost 32 pound ¾? |
A44015 | ( What is tanquam si become but one word?) |
A44015 | And doth any body think that Dr. Harmar was the first which began to shew his wit( or folly) in e ● ymologizing words? |
A44015 | And is not ⅓ the quotient of 1. divided by 3? |
A44015 | And now what shall I say? |
A44015 | And so what? |
A44015 | And this I conceive the Doctor would have us in the close think to have been his me ● ning; else wh ● t doth he drive at in these words? |
A44015 | Are they Preachers ● x Officio, and afterwards enjoyned to Preach? |
A44015 | Are you Geometricians? |
A44015 | Are you sure they had Authority immediately from Christ? |
A44015 | But Dr Wallis, why not adduco for a ● ammer as well as a tree? |
A44015 | But could the Dr. think the word obsolete when the play is still in fashion? |
A44015 | But do you think you can defend your Adducis Malleum aswel as I have now defended my{ non- Roman}{ non- Roman}{ non- Roman}{ non- Roman}{ non- Roman}? |
A44015 | But what moved you to speak in that manner? |
A44015 | But why did you answer nothing to my sixth Lesson? |
A44015 | But why is that l ● ss tolerable then tanquam feceris, as if you had done? |
A44015 | But ● r, Ought not you to confesse the same of yours? |
A44015 | Coelius Rhodiginus doth not own the derivation, onely ● aith Nominis ratio est, ut placet Eustathio, quia uno incedit pede;( is this to hopp?) |
A44015 | Did Christ hi ● self immediately enjoyn you to preach, or give you orders? |
A44015 | Did you think such demonstrations as these, should alwayes passe? |
A44015 | From a Consistory of Pres ● yt ● rs ▪ themselves or joyned with Lay- Elders, whom they may sway as they please? |
A44015 | From the Bishops? |
A44015 | From your selfe? |
A44015 | Hath the Dr. any ground to think these are not impertinences? |
A44015 | How then ar ● you sure but that they might have none? |
A44015 | I answer, yes, equally for either, and yet for neither; Did ever any body go about to mo ● k his Reade ● s thus solemnly? |
A44015 | If he intended no more, why did he go about to defend the other meaning, and never meddle with this? |
A44015 | If not, why fr ● m them rather then from me, or from any man else? |
A44015 | If so, Do not you then r ● ceive the rules of Gods worship from the Civil Power? |
A44015 | Is child- bearing any obstacle to the salvation of women? |
A44015 | Is not this to put your self on their verdict, when you oppose Mr. Hobs with Tully? |
A44015 | Is this to speak suitably to the oracles of God, or rather to lash out into idle words? |
A44015 | May not therefore his own saying be justly retorted upon him in this case, Adducis malleum, us occidas muscam? |
A44015 | Or doth he think that this play is so ancient, as to have had a name so long ago, that it should now be grown obsolete? |
A44015 | P. Quid attulisti? |
A44015 | Right, if the Supreme power of the Common- wealth will have it so; if not, why from them rather then from me? |
A44015 | Secondly, I desire to know in what manner you will be able out of this d ● ● inition to prove your self a Minister? |
A44015 | Sed quid vetat eo nomine Ludum fuisse? |
A44015 | T. Adduxi volui dic ● re P ▪ Quis istic est? |
A44015 | The other when you take it back( better and better) What to do? |
A44015 | This being evident, what Acts are those of yours which you call Authoritative, and receive not from the Authority of the civil power? |
A44015 | What harm is there in this definition, saving onely it crosses the ambition of many men that hold your p ● inciples? |
A44015 | What is neglected but unconsidered? |
A44015 | Which yet might have been proved by this one example of mine? |
A44015 | Whither then could he carry away the key? |
A44015 | Who then, some Bishop, or Minister or Ministers? |
A44015 | Why did I not? |
A44015 | Why so, more then from me? |
A44015 | Why then do you not put some such clause into your definition? |
A44015 | Yes; by what Authority? |
A44015 | as Dr. Wall ● s? |
A44015 | to the subtriple of 2. which is ⅔ exceedeth what? |
A44015 | was not Turnebus as good a Critick, and of as great Bead ● …? |
A44015 | were you angry? |
A44015 | who had read over Pollux, and yet is afraid that no body will beleeve 〈 ◊ 〉 to have been a game, and all he alledgeth for it is, quid vetat? |
A44015 | who it was told thee that{ non- Roman}{ non- Roman}{ non- Roman}{ non- Roman}{ non- Roman} was a mark with an hot iron? |
A48262 | & whence is it that the Viole- bowe moved upon the first string, doth instantly in the same time move the third string, and not the second? |
A48262 | 174 VVhether is the discharge of a Cannon so much the more violent, by how much it hath the more length? |
A48262 | 2 In the second question it may be demanded, how much time doth the Bull ● ● of a Cannon spend in the aire before i ● falls to the ground? |
A48262 | 233 In what place of the World is it that the Sunnes Longitude from the Equinoctiall paints and Altitude, being equall, the Sunne is due East or West? |
A48262 | 233 In what place of the world is it the sun is East or West but twice in the yeare? |
A48262 | 24 How is it that a man in one& the same time may have his head upward, and his feet upward, being in one and the same place? |
A48262 | 48 How many sorts of weights in the least manner must there be to weigh all sorts of things betweene one pound and 121 pound, and so unto 364 pound? |
A48262 | 56 Whether is it more hard and admirable without Compasses to make a perfect circle, or being made to finde out the Centre of it? |
A48262 | And how can it be otherwise conceived of Islands in the Sea that swim and float? |
A48262 | Any one having thought a Card amongst many Cards, how artificially to discover it out? |
A48262 | C 40. they sold as many for a penny one as the other, and brought home one as much money as another, how could this be? |
A48262 | FIrst, it may be demanded, vvhere is the middle of the vvorld? |
A48262 | First how to make water at the foot of a mountaine to ascend to the top of it, and so to descend on the other side? |
A48262 | HOmer being asked by He ● iodus how many Grecian Souldiers came against Troy? |
A48262 | Have you not seen how by Oares of a Boate it doth exceeding quickly glide upon the water with a pleasant grace? |
A48262 | How a grosse body of mettle may swimme upon the water? |
A48262 | How comes it that a Shippe having safely sayled in the vast Ocean, and being come into the Port or harbour, without any tempest will sink down right? |
A48262 | How is it that a man in one and the same time, may have his head upward, and his feet upward, being in one and the same place? |
A48262 | How out of a quantitie of wine to extract that which is most windy, and evill, that it hurt not a sick Person? |
A48262 | How that if all the Powder in the world were in closed within a bowle of paper or glasse, and being fired on all parts, it could not break that bowle? |
A48262 | How to change a Circle into a square forme? |
A48262 | How to draw a parallel sphericall line with great ease? |
A48262 | How to finde at any time which way the wind is in ones Chamber, without going abroad? |
A48262 | How to make Iron or steele exceeding hard? |
A48262 | How to make a Candle burne and continue three times as long as otherwise it would? |
A48262 | How to make a consort of musick of many parts with one voyce, or one instrument only? |
A48262 | How to make an instrument to help hearing, as Galileus made to help the sight? |
A48262 | How to make the representation of the great world? |
A48262 | How to make the string of a Viole sensibly shake, without any one touching it? |
A48262 | How to make two Marmouzets, one of which shall light a Candle, and the other put it out? |
A48262 | How to make water in a Glasse seeme to boyle and sparkle? |
A48262 | How to r ● st a Capon carried in a Budget at a Saddle- bowe, in the space of riding 5 or 6 miles? |
A48262 | How to represent diverse sorts of Rainebowes here below? |
A48262 | How to weigh the lightnesse of the aire? |
A48262 | I speak not here Mathematically, but as the vulgar people, vvho ask, vvhere is the middle of the vvorld? |
A48262 | If any one should hold in each hand, as many pieces of money as in the other, how to finde how much there is? |
A48262 | In the fourth place it may be asked, whether the discharge of a Cannon b ● so much the greater, by how much it is longer? |
A48262 | In what places of the World is it that the needle hangs in Aequilibrio, and verticall? |
A48262 | NInethly, is it not an admirable thing to consider how the skill of numbers doth easily furnish us with the knowledge of mysterious and hidden things? |
A48262 | Ninthly, how easily to take wine out of a vessell at the bu ● g- hole, without piercing of a hole in the vessell? |
A48262 | Now how many measures did each of them carry? |
A48262 | Secondly, how much is the depth of the earth, the height of the heavens, and the compasse of the world? |
A48262 | Tenthly, how to measure irregular bodies by help of water? |
A48262 | Thirdly, how is it that it is said that a vessell holds more water being placed at the foot of a Mountaine, than standing upon the top of it? |
A48262 | To make a Cement which indureth or lasteth as marble, which resisteth aire and water without ever disjoyning or uncementing? |
A48262 | WAs not this a pretty fetch upon a pavement, to choose an Obeliske for a Dyall, having 106 foot in height, without removing the Basis of it? |
A48262 | WHat will you say of the invention of Mathematicians, which finde out daily so many fine and curious novelties? |
A48262 | What declination hath the sun upon the 13 day of November? |
A48262 | What declination hath the sun upon the 24 day of March? |
A48262 | What will the Declination of the sun be upon the eleven ● h day of August? |
A48262 | What would you say to make an admirable report of the other parts, if I should reckon them in their least? |
A48262 | What''s the cause that fire and Garlick takes away the propertie of the magnes? |
A48262 | Whether it is more hard and admirable without Compasses to make a perfect circle, or being made to finde out the Centre of it? |
A48262 | Who can believe that any man ever had 20 cubits, or 30 foot in length for his face, and a nose of 10 foot long? |
A48262 | and is not this a jolly Dyall? |
A48262 | if the cause be not either in the first or second? |
A67916 | ( by the Rule of Three Direct) comes 12 daies; then I say, if 30 men bee 12 daies about it, how long will 15 men bee about it by the Backer Rule? |
A67916 | A. I say thus, if 40 yards require 30 men for 6 daies, then to do 80 yards by 15 men, how long time will it require? |
A67916 | After you have set down your numbers each in his due place, what do you then? |
A67916 | And are there the same kinds or species in fractions, as in whole numbers? |
A67916 | And how finde you a fourth number in continual proportion? |
A67916 | And how is this done at one working? |
A67916 | And how is this done? |
A67916 | And how must they bee added together? |
A67916 | And how proceed your further? |
A67916 | And how will you do that? |
A67916 | And how will you turn pence into shillings, and shillings into pounds? |
A67916 | And what do you further? |
A67916 | And what do you next? |
A67916 | And what do you next? |
A67916 | And what do you then? |
A67916 | And what is then to be done? |
A67916 | Are decimals alwaies exprest thus? |
A67916 | Are fractions numbers? |
A67916 | Are there then any improper fractions? |
A67916 | But how agrees this with your former words, where you said, that this Rule teacheth by three numbers to finde a fourth? |
A67916 | But is there no way to discover what number would reduce a fraction into its smallest terms, but by halfing or parting in that sort? |
A67916 | But what if any remainder be in the Division? |
A67916 | But what if the lower figure bee greatest, how then shall it bee abated from the higher? |
A67916 | But what if they bee of several denominations? |
A67916 | But what if you bee to substract a mixt number from another, or from a whole number? |
A67916 | But what if you can not take the divisor out of the figures over it? |
A67916 | But what mean you by species? |
A67916 | But when you have a sum of several denominations to substract from another, how do you then? |
A67916 | Can you repeat your places backwards? |
A67916 | Do Ciphers then only supply places that are void, and so increase the value of the other figures? |
A67916 | First I say, if 40 yards require 6 daies, how long time will 80 yards require? |
A67916 | First shew mee how it is done at two workings? |
A67916 | First, if 5 men do a peece of work in 15 daies, how many men will do the like in 3 daies? |
A67916 | Give an Example hereof? |
A67916 | Having so set down all your figures, what remains further to bee done? |
A67916 | How are Numbers said to bee divided into kinds? |
A67916 | How are fractions of several denominations reduced to one denomination? |
A67916 | How are such reduced into their smallest terms? |
A67916 | How are those two numbers called? |
A67916 | How are two or more fractions added together? |
A67916 | How change you a number of shillings into a number of pence? |
A67916 | How comes it to pass that in Division by a fraction the quotion is greater than the dividend? |
A67916 | How comes that to bee, seeing the very name of Multiplication signifies to augment or increase a thing manifold, or many times? |
A67916 | How do you multiply in Fractions? |
A67916 | How do you turn pounds into shillings? |
A67916 | How finde you a number in continual proportion? |
A67916 | How is Division in Fractions performed? |
A67916 | How is Multiplication done? |
A67916 | How is a fraction divided by a whole number? |
A67916 | How is a whole number divided by a fraction? |
A67916 | How is a whole number reduced into the form of a fraction? |
A67916 | How is that done? |
A67916 | How is that done? |
A67916 | How is that performed? |
A67916 | How is the fourth number in discontinual proportion found? |
A67916 | How is this done at two workings? |
A67916 | How is this performed at one working? |
A67916 | How is this performed at one working? |
A67916 | How many figures are there? |
A67916 | How many numbers are to bee noted in any Division? |
A67916 | How many several parts are accounted in common Arithmetick? |
A67916 | How many times doth the product contain the multiplicand? |
A67916 | How may they bee so applied? |
A67916 | How reduce you farthings into pence? |
A67916 | How reduce you fractions of one denomination, into another denomination? |
A67916 | How set you down 75 thousand parts? |
A67916 | How set you down four thousand five hundred and six? |
A67916 | How shall I know which number ought to bee first, that I may not mistake, and so work false? |
A67916 | How substract you one fraction from another? |
A67916 | How value you your places in order to the tenth place? |
A67916 | How will you set down, one thousand six hundred and sixty? |
A67916 | How work you the Backer Rule of Three in Fractions? |
A67916 | How work you the Rule of Three in Fractions? |
A67916 | If 20 men do a peece of work in 2 daies, in how long time will 8 men do the like? |
A67916 | If 4/ 5 of an Ell cost 3/ ● of a pound, what is 1/ ● of an Ell worth? |
A67916 | If 5 men do a peece of work in 8 daies, how many men will do the like in 2 daies? |
A67916 | If 5 yards of cloth that is yard and half broad, make a man a gown, how much baize of yard broad will line it throughout? |
A67916 | If a foot of board be 12 inches long, and 12 inches broad, how much will make a foot of that board that is but 9 inches broad? |
A67916 | If a quantity of provision serve 360 men 45 daies, how long will it serve 288 men? |
A67916 | If it exceed nine, what then? |
A67916 | If my friend lend mee 4/ ● of a pound for 2/ 3 of a year, or 8 months, how long ought I to lend him 2/ ● of a pound to requite his courtesie? |
A67916 | If there bee many removings of the divisor, is that order still to bee observed? |
A67916 | In 2650 Ells Flemmish, how many Ells English? |
A67916 | In 3180 English Ells, how many Flemmish Ells is there? |
A67916 | In what manner is Division performed? |
A67916 | Is not one a Number then? |
A67916 | Is the greatest number alwaies set lowest? |
A67916 | Is the proportion of diminishing decimal fractions, like this of augmenting whole numbers? |
A67916 | Is the worth or value of the things so reduced( changed or) altered? |
A67916 | Is there any other form in the Rule of Three, besides the above said? |
A67916 | Is there any other form of reducing to one denomination? |
A67916 | Is there any other manner of Work in the Rule of Three? |
A67916 | Is there any other use hereof? |
A67916 | Is there any other way to work the Rule of Three? |
A67916 | Is there any thing more herein to bee noted, before wee leave numeration? |
A67916 | Is there no kinde of Reduction that requireth both Multiplication and Division? |
A67916 | Is there the like reason for other things? |
A67916 | Is there the like reason for weight, measures, time,& c? |
A67916 | Is this order then to be kept in a sum of many figures or places? |
A67916 | May the like Reduction bee made in other things? |
A67916 | May this bee done otherwise? |
A67916 | Must this order then bee observed still, when you have many fractions? |
A67916 | Now shew mee what Division teacheth? |
A67916 | Now tell me what is Reduction? |
A67916 | Now tell mee what use fractions are of in Arithmetick? |
A67916 | Of what use is such proportional numbers? |
A67916 | Q And how reduce you such an improper fraction into its unites and parts? |
A67916 | Q. I remember you mentioned decimal fractions before, how are such exprest? |
A67916 | Q. Shew by an example or two what you mean? |
A67916 | Q. Whereof doth Number consist? |
A67916 | Q. how is that done? |
A67916 | Tell mee now what Substraction teacheth? |
A67916 | Then thus, If I have borrowed 4567 l. of which I have repaid 3675, what is behinde? |
A67916 | This, 30 men work 40 yards of Arras in 6 daies, in how long time will 15 men work 80 yards of the like Arras? |
A67916 | This, if a quantity of provision serve 40 men 30 daies, how many men will it serve 80 daies? |
A67916 | WHat is Arithmetick? |
A67916 | What bee the terms of a Fraction? |
A67916 | What call you continual proportion? |
A67916 | What do these signifie? |
A67916 | What doth Multiplication teach? |
A67916 | What doth Reduction teach? |
A67916 | What doth the Rule of Three teach? |
A67916 | What else is considerable in Numeration? |
A67916 | What else is to bee observed in Division? |
A67916 | What if I have a mixt number of unites, and parts to bee reduced into fraction form? |
A67916 | What if any thing remain after the Division is ended? |
A67916 | What if it come to ten or above? |
A67916 | What if no number will divide them evenly, till it come to one? |
A67916 | What if the numbers bee of several denominations, as of l. — s. — d.& c? |
A67916 | What if the upper figure bee the least? |
A67916 | What if they be joyned with other figures, or ciphers, is their signification altered? |
A67916 | What if you have numbers of several kinds or denominations to add together? |
A67916 | What is a second Example? |
A67916 | What is an unite? |
A67916 | What is another question of this sort? |
A67916 | What is another way? |
A67916 | What is considerable in this Rule? |
A67916 | What is discontinual proportion? |
A67916 | What is further to bee considered? |
A67916 | What is next in Reduction of Fractions? |
A67916 | What is next to bee done? |
A67916 | What is one question of the former sort? |
A67916 | What is one way? |
A67916 | What is the reason of that? |
A67916 | What is the reason of that? |
A67916 | What is the subject of this Art? |
A67916 | What is the use of this Rule? |
A67916 | What is your next example? |
A67916 | What manner of questions doth this Rule resolve? |
A67916 | What mean you by greatness and smalness of terms? |
A67916 | What mean you by uncompound, or compound? |
A67916 | What must be done with the number that remains after the division is ended? |
A67916 | What must you do when you have a number to set down, where some have not a significant figure to stand in it? |
A67916 | What other sort of Reduction is there? |
A67916 | What other thing of note it observable in Multiplication of Fractions? |
A67916 | What other use is it for? |
A67916 | What proof is for Division? |
A67916 | What proof is for Multiplication? |
A67916 | What proof is there for the Rule of Three? |
A67916 | What sheweth Numeration in fractions? |
A67916 | What teacheth Numeration? |
A67916 | What then is extraction of roots? |
A67916 | What use may bee made of these proportionals thus found? |
A67916 | Which be the significant figure? |
A67916 | Which is the place of unites? |
A67916 | Why are such exprest like fractions? |
A67916 | Why are they so reduced? |
A67916 | Why do you count tens in one place, but for unites in the next? |
A67916 | Why is it called the Backer Rule of Three? |
A67916 | Why make you a distinction here of whole numbers? |
A67916 | Why say you its own simple value? |
A67916 | Why so? |
A67916 | Yet I desire to hear some of them, where the same may bee made profitable? |
A67916 | You have shewed how to reduce two Fractions into one denomination, but what if there bee three or more? |
A67916 | You said Multiplication was best proved by Division, how is that proof done? |
A67916 | buy? |
A67916 | buy? |
A67916 | by 3 men, what time is required? |
A67916 | comes 10 daies; then by the Backer Rule of Three, If 5 men bee 10 daies in earning it, how long will 3 men bee? |
A67916 | doth it differ infraction? |
A67916 | give? |
A67916 | how many pence is there? |
A67916 | how many pounds is there? |
A67916 | how many shillings is there? |
A67916 | how many shillings is there? |
A67916 | how much will 10 men earn in 12 daies? |
A67916 | what cost 30 yards? |
A67916 | what cost 64 q quartern s? |
A67916 | what gives 12 daies? |
A67916 | what gives 13 daies? |
A67916 | what is 1000 nobles worth? |
A67916 | what is 369 marks worth? |
A67916 | what will 10 men earn? |
A67916 | what will 42 yards cost? |
A67916 | what will 5 yards cost at that rate? |
A97051 | & c. Do they signify, to leade, to guide, to dran? |
A97051 | & c.( Nay, never aske that question, we know you are good at giving names, without asking) I hope, the next question will be, Who gave you that name? |
A97051 | & what shall be the third side? |
A97051 | ''T is visible, therefore''t is divisible, But could you not as well have said, That A Marke consists of two Nobles? |
A97051 | ( And doe you not think then, that Gorraeus was a wise man, to write a large Volumne in folio, intituled Definitiones Medicae?) |
A97051 | ( And why not the solution of Problems also; as well as the inferring of Theorems?) |
A97051 | ( But did you observe, whether I did well or ill, so to call it?) |
A97051 | ( For who are more compassionate to those that feele the toothach, then those that are most tormented with it themselves?) |
A97051 | ( I mean, in the Latine? |
A97051 | ( before we leave this point) who t was told thee, that 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 was a marke with a hot iron? |
A97051 | ( though perhaps you will cavill at that phrase) and not rather to take a wife? |
A97051 | 21. Who is so stupid, as both to mistake in Geometry, and allso to persist in it, when another detects his error to him? |
A97051 | 51. where you tell me, that Adducis malleum, ut occidas muscam, is not good Latin? |
A97051 | 6, by the Equality of the Quotients? |
A97051 | Again, it is, you say the Arch of a circle: But what Arch? |
A97051 | Am I bound to give an account of all thy dreames? |
A97051 | And are not these pure Criticismes; think you? |
A97051 | And doe you not define them here? |
A97051 | And doe you not take this to be a fault? |
A97051 | And doth any body so beside your selfe? |
A97051 | And doth not Euclide''s word 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 signify to contain between? |
A97051 | And doth not every body say so as well as I? |
A97051 | And doth not this come home to what I said? |
A97051 | And for a Logician to define Genus, Species, Vniversale, Individuum, Argumentum, Syllogisinus,& c. in the sense wherein they are used in Logick? |
A97051 | And ha''nt you done it handsomely? |
A97051 | And if corpus quodpiam, may, without absurdity, be 〈 ◊ 〉 circumduci, why not as well adduci? |
A97051 | And is it not lawfull so to do? |
A97051 | And is it not so? |
A97051 | And is it not true, that 14 is equall to 12+ 2? |
A97051 | And is not Arithmeticall proportion, proportion? |
A97051 | And is not all this sufficient to prove the first Article unsound? |
A97051 | And is not his as much a Quotient, as that a Remainder? |
A97051 | And is not then, that( by your own law p. 10,) in your selfe intolerable, which you can not tolerate in another? |
A97051 | And is not this Tinker- like, to mend one hole and make two? |
A97051 | And is not this a fault in Method? |
A97051 | And is not this a worthy confutation? |
A97051 | And is not this a worthy objection? |
A97051 | And is not this abominably false? |
A97051 | And is not this demonstration then well amended? |
A97051 | And is not this then a just exception to your argument? |
A97051 | And is not this true? |
A97051 | And is not this true? |
A97051 | And may not those be called Grammaticall, and these Logicall definitions? |
A97051 | And that whatsoever is not, in any place so circumscribed, is no where, and therefore nothing? |
A97051 | And then( as if between sleeping and waking) you ask, if it be you or ● that dream? |
A97051 | And they are like to have a great purchase that get it, are they not? |
A97051 | And was it so when you wrote those passages last cited? |
A97051 | And was not this your meaning? |
A97051 | And who might doe it better? |
A97051 | And why doth it not follow? |
A97051 | And why impertinently? |
A97051 | And why not as well, Quod esse consideramus, consideratur esse? |
A97051 | And why not, said J,( without any more adoe) as the time to the time? |
A97051 | And why not? |
A97051 | And why? |
A97051 | And withall, pray me to tell you, where it was that I read the word Empusa, for the Boys play I spake of? |
A97051 | And would have me consider, who it was, was hanged upon Hamans Gallows? |
A97051 | And you aske, To whom it is known? |
A97051 | And''t is but as if you should have asked; What may be the height of that Parabola, or Triangle, whose Basis is equall to AC? |
A97051 | And, I pray, why so? |
A97051 | And, pray look upon the Argument once again: doth it prove any more than so? |
A97051 | And, what Angle? |
A97051 | Anguli qui rectis continentur lineis, rectilinei; qui curvis, anguli curvilinei sunt; qui recta& curva continentur, misti? |
A97051 | Are you Philosophers? |
A97051 | But are they not good also, of Bodies inanimate? |
A97051 | But by the way, how comes a Point on a suddaine to be a Body? |
A97051 | But doth he not, to your understanding prove, that the least right lined Angle is bigger th ● n it? |
A97051 | But heark you, man; to lead, you told us, is the signification of the word, when it is used of Animates; why then do you talke of leading a hammer? |
A97051 | But how do you prove hence, that a point hath parts? |
A97051 | But how doe you prove this consequence? |
A97051 | But how doth it appeare, that I think so? |
A97051 | But how, say you, do I demonstrate it? |
A97051 | But however,''t is to be hoped, that your new demonstration is a good one; is it not? |
A97051 | But if your meaning be, what do I say to the contrary? |
A97051 | But is not by and between in this case all one? |
A97051 | But is there any Geometrician( who hath well examined it) will say''t is true? |
A97051 | But is this such a provocation as may warrant you, by Vespasians Law, to rave at the next man you meet with? |
A97051 | But prithee, why dost thou aske me such a question? |
A97051 | But suppose I do; what then? |
A97051 | But suppose they doe, sometimes, signify to guide, sometimes to lead; what then? |
A97051 | But was it not a fault in the Copy first? |
A97051 | But what becomes of your rule in the mean while, which sent us to that Table for solution? |
A97051 | But what if I did? |
A97051 | But what if a Body be not moved? |
A97051 | But what is all this to the raking off that absurdity with which you are here charged? |
A97051 | But what is it not good for? |
A97051 | But what should it have been, if not so? |
A97051 | But what then? |
A97051 | But what then? |
A97051 | But what''s that to the purpose? |
A97051 | But what''s this to the clearing of your Definitions? |
A97051 | But where was my oversight? |
A97051 | But why a marke of ignorance? |
A97051 | But why is it impossible? |
A97051 | But why must we not think, he meant as he saith? |
A97051 | But why no quotient?) |
A97051 | But why no reason to expect it? |
A97051 | But why not that, Latin? |
A97051 | But why not? |
A97051 | But why should you think it is not so? |
A97051 | But why was it not so? |
A97051 | But why was it not to be exspected? |
A97051 | But why, now, is not adducis malleum good Latin? |
A97051 | But why? |
A97051 | But why? |
A97051 | But, I pray, is not A/ B as good a Quotient, as A- B is a Remainder? |
A97051 | But, Sir, must I be bound to tell you a tale, and find you ears too? |
A97051 | But, say you, what in a line is the extreme, but the first or last part? |
A97051 | Can a man teach Mathematicks, in any language, without Grammer? |
A97051 | Can it be made a sphericall Angle so long as the lines retain their streightnesse? |
A97051 | Compounded of what?) |
A97051 | Did I deny this? |
A97051 | Did I not explaine your meaning right? |
A97051 | Did any body deny it? |
A97051 | Do not these wofull notions of yours, and the language that doth accompany them, shew handsomely together? |
A97051 | Do you not think now, that a boy 〈 ◊ 〉 Westminster Schoole would have been soundly whipt for such a fault? |
A97051 | Do you think it possible to make an Angle Sphericall, Curvilineall, or mixed, so long as the lines retain their streightnesse? |
A97051 | Do you think that the assigning of two sides, without an Angle, will sufficiently determine the bignesse of a triangle? |
A97051 | Do you think''t is worth while after all this, to examine your demonstration? |
A97051 | Do you think, nothing, is Mathematicall, wherein a man makes use of Grammar? |
A97051 | Doe you not think that true too? |
A97051 | Doe you see the quidem now? |
A97051 | Doth it therefore follow, that either Lines or Letters be homogeneous to Time? |
A97051 | Else what needs your next definion, of similia similiter posita? |
A97051 | Even so, the lines retain their streightnesse, though they be crooked, is that it? |
A97051 | For to what purpose? |
A97051 | Had I not reason then to prove it? |
A97051 | Have you any more to say? |
A97051 | Have you any thing to offer by way of proof? |
A97051 | Have you not used the words many times before in the precedent chapters? |
A97051 | How do you apply the similitude? |
A97051 | How do you prove this? |
A97051 | How doth it bewray it? |
A97051 | How prove you this consequence, If an extreme, then a part? |
A97051 | I asked, Whoever defined a Line to be a Body? |
A97051 | I asked, whether this were not to commit a circle? |
A97051 | If it be no Substance, how can it be a Body in your language? |
A97051 | If not, pray tell me how many yards long is an hour? |
A97051 | If so; then whether of the two do you affirme? |
A97051 | If this be your meaning( as J am sure it is or should be,) what is it that troubles you? |
A97051 | Ignorance of what? |
A97051 | In one Point, you say; but which one? |
A97051 | Is a Parallelogramme, said J, sufficiently determined, be the assignement of but one side, and never an angle? |
A97051 | Is a sphericall Angle made by the divergence of streight lines or of cooked? |
A97051 | Is it any one? |
A97051 | Is it not lawfull for me to write Symbols, till you can understand them? |
A97051 | Is it not proper for words of Art,( voces artis,) to be defined and explained in that art to which they belong? |
A97051 | Is it sound? |
A97051 | Is it such a provocation of M. Hobs, for any man to admire us, that he may thenceforth, without incivility, be called a Beast, or what you please? |
A97051 | Is it then J, or you? |
A97051 | Is not that definition of a Man; as good as yours of Bodies Equall? |
A97051 | Is there not the same Arithmeticall Proportion? |
A97051 | Is this good sense? |
A97051 | Is 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 and 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉, all one with you? |
A97051 | J asked, How an impetus can be ordinately applied to a Line? |
A97051 | May they not be applied as well to a Hammer, as to a Tree? |
A97051 | Next, You aske, you say, where it is that you say or dreame, that the lengths run over are in proportion of the Impetus to the Times? |
A97051 | Now are not these faults enough for one poor definition? |
A97051 | Now what do you think of the businesse? |
A97051 | Or is it thus, Even so, the Angle remains an angle made by lines retaining their streightnesse, when they be crooked? |
A97051 | Or, How much line will make a day? |
A97051 | Or, That he is not so concluded, and therefore no where, and so nothing? |
A97051 | Or, if those words do not import so much when you speak them, why should you think they doe when I speak them? |
A97051 | Or, where is it, that it doth not as strongly proceed in the case of any Conoeid, as of a Sphere? |
A97051 | Perhaps you meant so,( though yet I question whether you did then think of more contacts then one:) but why then did you not say so? |
A97051 | Plin& c. doe they signify to lead a fever? |
A97051 | Quidsi de vestro quippiam orem abducere? |
A97051 | Say you so? |
A97051 | Shew me where ever Euclide doth acknowledge any angle to be equall to two right angles? |
A97051 | Tell me( say you) egregious Professors, How is 6 to 3 double proportion? |
A97051 | Tell mee, where lines, either in the same or in parallell positions, are by Euclide said to incline or be inclined each to other? |
A97051 | That God is so circumscribed or concluded within certain limits, and excluded from all others at the same time? |
A97051 | The thirteenth definit ● ● ●, A Terme or Bound, is that which is the extreme of any thin ● 〈 ◊ 〉 you say, is exact,( very good?) |
A97051 | Then you goe on to catechise us; What is your name? |
A97051 | This was the Printers fault too, was it not? |
A97051 | Though this be Animate; not that? |
A97051 | Till you tell us of what? |
A97051 | Upon this I asked; why not, either this after that; or that before this? |
A97051 | Very true, this is the first proposition; what then? |
A97051 | Very witty? |
A97051 | Was there nothing else to fasten upon with more advantage then these poor harmlesse phrases? |
A97051 | Well, But if not his Definitions, what then is it, in Euclide, that is Mathematicall? |
A97051 | Well, I hope at least the first is sound, is it not? |
A97051 | Well, but what for the other side? |
A97051 | Well, what then? |
A97051 | Well; and what of this? |
A97051 | Well; but how is the sense to be supplied? |
A97051 | Well; but what is it you drive at? |
A97051 | Well; how is this to be understood? |
A97051 | Were you then of opinion that the Angle contained or comprehended between the lines AB and AC,( as you there speak,) was a plain superficies? |
A97051 | What a doe then doe you make for nothing? |
A97051 | What doctrine of mine? |
A97051 | What if I should desire to carry away somewhat of yours? |
A97051 | What ignorance? |
A97051 | What is to be done thus? |
A97051 | What need had you to cumber the Proposition with Impetus and Multiplication, and Products, when they might as well be spared? |
A97051 | What need you say any more? |
A97051 | What say you to this? |
A97051 | What should I doe more? |
A97051 | What then? |
A97051 | What then? |
A97051 | What then? |
A97051 | What then? |
A97051 | What then? |
A97051 | What''s next? |
A97051 | What? |
A97051 | What? |
A97051 | Where is the mistake then? |
A97051 | Where''s the fault then? |
A97051 | Who told you, that this is my doctrine? |
A97051 | Why should you think( if those definitions were such as they should have been) that wee needed another definition of the Same, or Equall Proportions? |
A97051 | Will you assume But God is a figure? |
A97051 | Would you have us understand that line GF, to be the act of differing? |
A97051 | You ask, how we know it? |
A97051 | You doe not, I suppose, think it worth the while for me to confute them,( or if you doe I doe not;) for to what purpose? |
A97051 | You then aske, whether it be not also true in these numbers, 0, 2, 4, 6,& c. or 0, 7, 14, 21,& c? |
A97051 | You would have me do so again, would you? |
A97051 | absurd to say that the proportion of two to one is double; and asks, is not every double proportion, the double of some proportion? |
A97051 | and as well designed? |
A97051 | and how it can be contiguous when the whole thicknesse of the spheare is between? |
A97051 | and if so, supposing it to be angle, must it not be Homogeneous? |
A97051 | and not rather to draw a line? |
A97051 | and of what circle? |
A97051 | and that, in all cases? |
A97051 | and then conclude, That, if God be at all any where, he must be so concluded within bounds? |
A97051 | and then put your selfe to the trouble of a long and needlesse demonstration, when the bare citing of a definition would have served the turne? |
A97051 | and to revenge your selfe upon him that comes next? |
A97051 | and 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉 〈 ◊ 〉, the lines which do comprehend,( or contain between them) the Angle? |
A97051 | as well as the same proportion between 3 and 2, and between 4 and 5? |
A97051 | as well, as setting their Symbols one after another, with a line between, makes a Remainder? |
A97051 | but doth it remain the same Angle? |
A97051 | but of what semiparabola? |
A97051 | but, because the Author had not put it in? |
A97051 | can you have the face to deny it? |
A97051 | did I say they do not? |
A97051 | do you believe no body thinks so, but I? |
A97051 | do you take the hammer to be animate? |
A97051 | do you think these things will ever hold together? |
A97051 | doe they signify nothing else? |
A97051 | finding the proportion? |
A97051 | i ● there then neither Point, nor Line, nor Length? |
A97051 | if it were not possible for similia to be dissimiliter posita? |
A97051 | is 20+ 19, equall to 2+ 2? |
A97051 | is it good for nothing else? |
A97051 | is it not proper for a Grammarian to define Gender, Number, Person, Case, Declension, Coniugation& c. in the sense wherein they are used in Grammer? |
A97051 | is it not your selfe that affirme it so to be? |
A97051 | is not 26 ⅔+ 3 ½= 30? |
A97051 | is not 5= 4 × 1? |
A97051 | is not the matter well amended? |
A97051 | is the same proportion with the excesse of the part above the part, to what? |
A97051 | is this sound? |
A97051 | more than it is impossible to define Arithmeticall proportion universally by comparing of Remainders? |
A97051 | none of them? |
A97051 | or Geometricians? |
A97051 | or Logicians? |
A97051 | or a quarter of a Circle? |
A97051 | or a quarter of an Arch? |
A97051 | or do you believe, that any body thinks otherwise but you? |
A97051 | or how doth this follow from the other? |
A97051 | or is this to make the principles of Geometry firm and coherent? |
A97051 | or make an Angle with it? |
A97051 | or other things? |
A97051 | or some one? |
A97051 | or this, English? |
A97051 | or to 1+ 3? |
A97051 | or to draw a fever,( with cart- ropes, or a team of horses?) |
A97051 | or to guide a fever? |
A97051 | or to lead a wife? |
A97051 | or what angle shall these contain? |
A97051 | or would have us take you to be the ninny? |
A97051 | or, at least, a fault in the Impression? |
A97051 | or, which is all one, that too contiguous parts of the same right line, are by Euclide said to be inclined to each other, or to contain an angle? |
A97051 | that is, doe not the Rootes of these numbers continually increase, as well as their Squares? |
A97051 | that say a point is nothing? |
A97051 | that you had given us false demonstrations& c. and then is it not spightfully done of us to discover them? |
A97051 | the question remains, as it was before, whether this Modus do not here import a causall influence? |
A97051 | the same quantity of divergence? |
A97051 | though yet that very bowing alone, by your doctrine, be enough to make an Angle of it selfe? |
A97051 | till they bu ● st? |
A97051 | to guide a line, or to lead a line? |
A97051 | to guide a wife? |
A97051 | to thwart, or crosse each other? |
A97051 | what think you? |
A97051 | where, you now tell us,( for I had told you so before) it is not to be hard? |
A97051 | whether the quantities be commensurable, or Incommensurable? |