The Young Algebraist's Companion ...: New Ed. To which is Added a Supplement ... |
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Page 12
... remains , fet it over the denominator for a new numerator , and it is done . EXAMPLE 1 . Reduce to its equivalent , whole , or mixt number . 5 ) 22 4 Anf . See Ex . 1 , Cafe 1 . EXAMPLE 2 . Reduce to its equivalent , whole , or mixt ...
... remains , fet it over the denominator for a new numerator , and it is done . EXAMPLE 1 . Reduce to its equivalent , whole , or mixt number . 5 ) 22 4 Anf . See Ex . 1 , Cafe 1 . EXAMPLE 2 . Reduce to its equivalent , whole , or mixt ...
Page 15
... remains over ; this 105 I make now a divi- for , and the last divisor ( viz . 147 ) a dividend , and find it contains once 105 , and 42 remains over ; by this 42 I divide the last divifor 105 , and find - 21 remains ; and , laftly , by ...
... remains over ; this 105 I make now a divi- for , and the last divisor ( viz . 147 ) a dividend , and find it contains once 105 , and 42 remains over ; by this 42 I divide the last divifor 105 , and find - 21 remains ; and , laftly , by ...
Page 21
... remains over ; this I call a fhilling . Now as 12 pence make a fhilling , multiply 28 the numerator by 12 , and it makes 336 , which I divide alfo by the denominator 32 , and the quotient is 10 , which is 10 pence , and 16 remains over ...
... remains over ; this I call a fhilling . Now as 12 pence make a fhilling , multiply 28 the numerator by 12 , and it makes 336 , which I divide alfo by the denominator 32 , and the quotient is 10 , which is 10 pence , and 16 remains over ...
Page 24
... remains over , it is of a £ . , which is So I find 25 of a L. to be 6 £ . 5s . Do you under- ftand it , Tyrunculus ? 5s . TYR . Had you only faid it , I might have been at a lofs but you have demonftrated it fo plainly , that I must be ...
... remains over , it is of a £ . , which is So I find 25 of a L. to be 6 £ . 5s . Do you under- ftand it , Tyrunculus ? 5s . TYR . Had you only faid it , I might have been at a lofs but you have demonftrated it fo plainly , that I must be ...
Page 27
... remains over . is the fum of the fractions only 1 498 , which I add to the whole numbers , as follows ; and have the fame answer as above . Add 4 f . 7 1498 Anf . 12498 as before 12. 11s . 4d . * It is fuppofed that the learner by this ...
... remains over . is the fum of the fractions only 1 498 , which I add to the whole numbers , as follows ; and have the fame answer as above . Add 4 f . 7 1498 Anf . 12498 as before 12. 11s . 4d . * It is fuppofed that the learner by this ...
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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.