The Young Algebraist's Companion ...: New Ed. To which is Added a Supplement ... |
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Page 27
... second is the shortest and easiest method , in my opinion . I should therefore only tell you the way to work it , and leave you to try it by yourself at large * . Obferve , then . 6 15 METHOD 1 . Reduce the compound fraction of to a ...
... second is the shortest and easiest method , in my opinion . I should therefore only tell you the way to work it , and leave you to try it by yourself at large * . Obferve , then . 6 15 METHOD 1 . Reduce the compound fraction of to a ...
Page 40
... it is 3s . 94d . " Anf . 60 SECOND WAY . Firft , I reduce the mixt number 7 14 to an improper fraction , and it is 122 , as above ; then the numbers will 24 ftand thus : If 40 782 24 Now Now 1 X 182 X 1182 N. N. and 40 40 THE RULE OF THREE.
... it is 3s . 94d . " Anf . 60 SECOND WAY . Firft , I reduce the mixt number 7 14 to an improper fraction , and it is 122 , as above ; then the numbers will 24 ftand thus : If 40 782 24 Now Now 1 X 182 X 1182 N. N. and 40 40 THE RULE OF THREE.
Page 46
... Second , When you have reduced any fraction to its lowest , terms to prove whether it be right , multiply the numerator of the original fraction by the denominator of the abbreviated one ; and the denominator of the original by the ...
... Second , When you have reduced any fraction to its lowest , terms to prove whether it be right , multiply the numerator of the original fraction by the denominator of the abbreviated one ; and the denominator of the original by the ...
Page 103
... second frac- tion ; fo will the numerator of the first fraction be equal to it in the second step . Then multiply the numerator of the F 4 first first fraction by the denominator of the fecond fraction ; OF REDUCING EQUATIONS . 103.
... second frac- tion ; fo will the numerator of the first fraction be equal to it in the second step . Then multiply the numerator of the F 4 first first fraction by the denominator of the fecond fraction ; OF REDUCING EQUATIONS . 103.
Page 105
... second fraction ( viz . 2 ) , and the whole num ) ber 14 into the denominator of the first fraction , viz . 4 , and the products are 48 , 8 x , and 56 : but whereas the fign of equality ( = ) falls between the whole number 12 , and the ...
... second fraction ( viz . 2 ) , and the whole num ) ber 14 into the denominator of the first fraction , viz . 4 , and the products are 48 , 8 x , and 56 : but whereas the fign of equality ( = ) falls between the whole number 12 , and the ...
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The Young Algebraist's Companion ...: New Ed. to Which Is Added a Supplement Daniel Fenning No preview available - 2016 |
Common terms and phrases
2d ftep abbreviated added affirmative alfo algebraic fraction anſwer aſk barley becauſe Cafe co-efficient coft common denominator compound fraction confequently crowns defire demonftration difference divide Divifion divifor eafy eaſy equal equation EXAMPLE faid fame fign fecond fhall fhews fhillings fhould fide fignifies fimple fraction firft firſt fome fquare root frac ftand fubtract fuch fuppofe fure give improper fraction integer itſelf laft laſt learner lefs leſs Literal Solution meaſure mixt number moidore moſt multiply muſt Novitius numbers or quantities Numerical Solution obferve pence perfon Philomathes plain pleaſe pray PROBLEM PROOF proportion queſtion quotient reafon reduced rule SECT ſquare ſtand ſtep thefe theſe thing thoſe tion Tyrunculus underſtand uſe Vulgar Fractions wheat Whence Q whofe whole number
Popular passages
Page 89 - In any proportion, the product of the means is equal to the product of the extremes.
Page 32 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page vi - Tis in my pow'r, and I their deadly foe ; The proverb holds, that to be wife and love, Is hardly granted to the Gods above. See how the madmen bleed : behold the gains With which their...
Page 121 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $ 27'50 ; how many days did he work...
Page 48 - MATHEMATICAL SIGNS, SYMBOLS AND OPERATIONS Mathematical signs are simply shorthand methods of indicating mathematical language. Those most commonly met with are the following: + The sign of addition called plus. This means that the two numbers or quantities between which it is placed are to be added. Thus 12 + 3 is read 12 plus 3 and means that 12 and 3 are to be added, the result being 15. — The sign of subtraction called minus. This means that the number or quantity which follows the sign is...
Page x - No monftrous height, or breadth, or length appear ; The Whole at once is bold, and regular. Whoever thinks a faultlefs piece to fee, Thinks what ne'er was, nor is, nor e'er fhall be.
Page 25 - Sum over the common Denominator ; and if it be an improper Fraction, reduce it to a mixt Number (by Cafe 2.
Page 16 - Multiply each numerator into all the denominators except its own, for a new numerator. Then multiply all the denominators together for a new denominator, and place it under each new numerator.
Page 94 - If equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be equal. 5.
Page 76 - I am only to multiply the numerators together for a new numerator, and the denominator for a new denominator.