The Young Algebraist's Companion: Or, A New & Easy Guide to Algebra; Introduced by the Doctrine of Vulgar Fractions: Designed for the Use of Schools ... Illustrated with Variety of Numerical & Literal Examples ... |
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Common terms and phrases
2d Step abbreviated alfo Algebraic Fractions alſo Anſwer Arithmetic aſk becauſe beſt Cafe Co-efficients common Denominator compleated compound Fraction Crowns Cube Defire demonftrated Dialogue Difference divide Dividend Divifor eaſy equal Equation EXAMPLE faid fame Sign Farthing fignifies fimple Fraction firſt fome foon Frac fubtract fuch fure give improper Fraction Inſtructions Integer itſelf juſt laſt Learner leſs Literal Solution lowest Terms merator mixt Numbers Moidore multiply muſt neceſſary Novitius Numbers or Quantities Numerical Solution obſerve Pence Philomathes plain pleaſe Pleaſure Pray preſent PROBLEM Product Proof Proportion Queſtion Quotient Reaſon reduced Root Rule ſay ſecond SECT ſee ſhall ſhew Shillings ſhould Side ſome Square ſquared ſtand ſuch ſuppoſe theſe Thing thoſe tion Tyrunculus understand unknown Quantity uſed Vulgar Fractions Whence whole Number whoſe
Popular passages
Page 107 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 124 - If three quantities are in continued proportion, the product of the extremes is equal to the square of the mean.
Page 168 - B. $550 per annum. 3. There is a fish whose head is 9 inches long, and his tail is as long as his head and half his body, and his body is as long as his head and tail: what is the whole length of the fish? Ans. 6 feet.
Page 223 - If it be required to extract the square root of a vulgar fraction, reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and of the denominator for a new denominator; or, reduce the vulgar fraction to a decimal, and extract its root.
Page ix - 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 51 - It shows that the number before it is to be divided by the number after it. The expression 6 -H 2 = 3 is read, 6 divided by 2 is equal to 3.
Page 165 - 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 130 - ... things equal to one and the fame thing are equal to one another...
Page xiii - 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 33 - Sum over the common Denominator ; and if it be an improper Fraction, reduce it to a mixt Number (by Cafe 2.