A Treatise on Algebra |
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Common terms and phrases
9 df A+B+ a²+b² a²b ab¹ ab² addition Algebra ascending powers ax² brackets comma common measure complete quotient counted degree denominator detached coefficients direct operation divided dividend division entire numbers equal numbers exponent find the h. c. four numbers function h. c. msr h.c.msr homogeneous integers integral powers inverse involution l. c. mlt larger smaller letter or letters logarithm measure multiple minuend monomial multiplicand negative number NOTE operand opposite partial products polynomial positive integers positive negative positive number prime factors PROB Q. E. D. th quotient and remainder R₁ rational remaining factors root second inverse simple fractions statements subtraction subtrahend symmetric symmetric function synthetic division THEOR theorem three numbers trial divisor type-form wherein write xy²
Popular passages
Page 53 - 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 51 - 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 55 - 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 45 - If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged.
Page 63 - 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 47 - 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 55 - MULTIPLYING A POLYNOMIAL BY A MONOMIAL. Multiply each term of the multiplicand by the multiplier.
Page 37 - 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 17 - 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.