The Young Algebraist's Companion ...: New Ed. To which is Added a Supplement ... |
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Page 48
... stands for the word more alfo . Thus , 5 + 4 + 7 , is read , 5 more 4 , more 7 , which makes 16. So alfo , a + b- b + c + d , fhews , that a , b , c , and d , are to be added together . 2. This character ( - ) is the fign of Subtraction ...
... stands for the word more alfo . Thus , 5 + 4 + 7 , is read , 5 more 4 , more 7 , which makes 16. So alfo , a + b- b + c + d , fhews , that a , b , c , and d , are to be added together . 2. This character ( - ) is the fign of Subtraction ...
Page 50
... stands is to have its square root extracted . 3 11. This character ( V ) is the fign of the cube root , and fignifies the extraction of it , as in the fquare root above . SECT . IV . OF COMPOUND SIGNS OR CHARACTERS . 3 1. This ( Vax b + ...
... stands is to have its square root extracted . 3 11. This character ( V ) is the fign of the cube root , and fignifies the extraction of it , as in the fquare root above . SECT . IV . OF COMPOUND SIGNS OR CHARACTERS . 3 1. This ( Vax b + ...
Page 68
... divide bx + bd + cx cd- xed de by xd , it will stand as follows : * EXAMPLE 4 . --- x + d ) bx + bd + cx + cd — xede ( b + ce Anf . bx + bd 0 + cx + cd + cx + cd xe- de xe de EXAMPLE 3x - 6 ) 6xxxx - 96 6xxxx 12xxx * 68 DIVISION.
... divide bx + bd + cx cd- xed de by xd , it will stand as follows : * EXAMPLE 4 . --- x + d ) bx + bd + cx + cd — xede ( b + ce Anf . bx + bd 0 + cx + cd + cx + cd xe- de xe de EXAMPLE 3x - 6 ) 6xxxx - 96 6xxxx 12xxx * 68 DIVISION.
Page 70
... stand under 5xxb pray , how do you fubtract them ? PHI . I do not fubtract it from 5xxb , though it stands un- der , but from -136a further on in the dividend , and fo on for the reft . TYR . Then it matters not whether the quantities stand ...
... stand under 5xxb pray , how do you fubtract them ? PHI . I do not fubtract it from 5xxb , though it stands un- der , but from -136a further on in the dividend , and fo on for the reft . TYR . Then it matters not whether the quantities stand ...
Page 75
... stand as fol lows : - Anf . adf a1 bdf b cbf_c bdfby Cafe 4 . - edb e bdf f PHI . You are very right , Tyrunculus , and I am glad to see you so tractable . You fee , therefore , that the order of Algebraic Fractions is the fame as ...
... stand as fol lows : - Anf . adf a1 bdf b cbf_c bdfby Cafe 4 . - edb e bdf f PHI . You are very right , Tyrunculus , and I am glad to see you so tractable . You fee , therefore , that the order of Algebraic Fractions is the fame as ...
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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.