The Young Algebraist's Companion ...: New Ed. To which is Added a Supplement ... |
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Page 14
... abbreviated . For suppose I were to abbreviate or reduce abb to its lowest terms ; it is only taking away fuch letter bc or quantities as are alike out of the numerator and the deno- minator , and the work is done . Thus in the above ...
... abbreviated . For suppose I were to abbreviate or reduce abb to its lowest terms ; it is only taking away fuch letter bc or quantities as are alike out of the numerator and the deno- minator , and the work is done . Thus in the above ...
Page 16
... abbreviated by a common meafurer by its prov- ing an unit at last ? PHI . Why then it is in the lowest terms already : fuch a one is 149 . TYR . Very well . Pray , are there no more cafes in Reduc- tion ? PHI . Yes , here follows CASE 6 ...
... abbreviated by a common meafurer by its prov- ing an unit at last ? PHI . Why then it is in the lowest terms already : fuch a one is 149 . TYR . Very well . Pray , are there no more cafes in Reduc- tion ? PHI . Yes , here follows CASE 6 ...
Page 20
... 12 × 4 = 3024 N. N. This frac And 4032 × 1 × 1 × 1 = 4032 N. D. tion abbreviated is of a farthing . So is of a farthing of a guinea , as in Example 2 of laft rule . What What do you fay to this cafe , Tyrunculus ? 20 REDUCTION OF 7.
... 12 × 4 = 3024 N. N. This frac And 4032 × 1 × 1 × 1 = 4032 N. D. tion abbreviated is of a farthing . So is of a farthing of a guinea , as in Example 2 of laft rule . What What do you fay to this cafe , Tyrunculus ? 20 REDUCTION OF 7.
Page 23
... abbreviate the numerator to unity , or 1 , and , confidering what of a . is , I find it to be 1s . 8d .; this I multiply by 5 , the numerator , and it makes 8s . 4d . which is the va- lue of of a £ . fterling . Again , 12 What is the of ...
... abbreviate the numerator to unity , or 1 , and , confidering what of a . is , I find it to be 1s . 8d .; this I multiply by 5 , the numerator , and it makes 8s . 4d . which is the va- lue of of a £ . fterling . Again , 12 What is the of ...
Page 45
... abbreviate the fractions before I begin the question ? PHI . To be fure I would , when they will allow of it ; for , if you remember , you did it yourself in example 6 , in Multiplication . TYR . I believe I did ; however , let me have ...
... abbreviate the fractions before I begin the question ? PHI . To be fure I would , when they will allow of it ; for , if you remember , you did it yourself in example 6 , in Multiplication . TYR . I believe I did ; however , let me have ...
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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.