Arithmetic in Epitome: Or, a Compendium of All the Rules, Both Vulgar and Decimal. Wherein Clear and Plain Demonstrations are Deduced from the Principles of Arithmetic Itself; Without Either Reference to Euclid, Or Use of Algebra

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H. Woodfall, 1767 - Arithmetic - 226 pages
 

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Page 110 - When first the marriage knot was tied Betwixt my wife and me, My age did hers as far exceed As three times three does three ; , But when ten years and half ten years We man and wife had been, Her age came up as near to mine As eight is to sixteen. Now tell me, I pray, What were our ages on the wedding-day...
Page 134 - If a series of numbers, consisting of any number of terms, be in geometrical progression, the product of the two extremes will be equal to the product of any two means equidistant from the extremes ; or to the square of the mean, if the terms be odd.
Page 150 - To find the value of a fraction in the known parts of an integer. RULE. Multiply, the numerator by the known parts of the integer, and divide by the denominator.
Page 110 - Marriage-Knot was ty'd Betwixt my Wife and me, My Age did her's as far exceed As Three Times Three does Three ; But when Ten Years, and Half Ten Years., We Man and Wife had been, Her Age came up as near to mine As Eight is to Sixteen.
Page 170 - And if, when the sum is done, the quotient has not so many figures as it should have places of decimals, then so many ciphers must be added as there are places wanting.
Page 144 - To reduce an improper fraction into its equivalent whole or mix'd number. RULE, .Divide the numerator by the denominator, the quotient gives the whole number...
Page 109 - As the difference of the errors, if alike, Or their fum, if unlike, To the difference of the fuppofitions...
Page 142 - If the numerator and denominator of a fraction be either multiplied or divided by the same number, the product or quotient will be a new...
Page 109 - Jins, 5 o.ven, 1 0 cows, and 50 calves. 9. A, B and C, playing at cards, staked 324 crowns ; but disputing about tricks, each man took as many as he could : A got a certain number-; B as many as A and 15 more ; C got a fifth part of both their sums added together : how many did each get ? Ms. Jl 1274, B 1424, C 54. PERMUTATION OF QUANTITIES,' JS the showing how many different ways any given number of things may be changed.
Page 14 - If there are any Cyphers on the Right-hand of your Divifor, you may cut off fo many Cyphers, or Figures, on the Right-hand of your Dividend ; but remember to bring them down (if Figures) to the Remainder. EXAMPLE.

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