## A Treatise on Algebra |

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### Contents

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### Common terms and phrases

Algebra ascending powers battle of Salamis brackets comma commensurable numbers common measure complete quotient constant ratio copula counted degree denoted detached coefficients direct operation divided dividend and divisor division entire numbers equal numbers exponent four numbers fractions whose numerators h. c. msr h.c.msr homogeneous integers integral powers involution l. c. mlt letter or letters literal expression lowest terms Manifestly measure the product minuend monomial multiplicand negative numbers Note number of units numbers be proportional numbers equals numbers prime numerators are free operand opposite partial products polynomial positive integers positive number prime factors PROB quotient and remainder reciprocal reduced remaining factors result second inverse shortened signs of operation simple fractions sought statements subtrahend symmetric function synthetic division Theor theorem third three numbers trial divisor type-form unideterminate west-miles wherein write

### Popular passages

Page 51 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

Page 49 - If the first be the same multiple of the second, or the same part of it. that the third is of the fourth, the first is to the second as the third is to the fourth...

Page 53 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.

Page 43 - If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged.

Page 61 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 45 - The algebraic sum of the fractions having a common denominator is a fraction whose numerator is the algebraic sum of the numerators of the given fractions and whose denominator is the common denominator.

Page 53 - MULTIPLYING A POLYNOMIAL BY A MONOMIAL. Multiply each term of the multiplicand by the multiplier.

Page 35 - The sum of two or more numbers is the same in whatever order they are added. Thus, 3 + 2 + 5 = 10, or 5 + 3 + 2 = 10.

Page 15 - LOGARITHMS The logarithm of a number is the power to which a given base must be raised to produce the number. For example, the logarithm of 25 to the base 5 is 2, since 5 must be raised to the second power to produce the number 25.