Algebra for High Schools and Colleges: Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the Science
Pratt, Oakley & Company, 1859 - 306 pàgines
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Algebra for high schools and colleges: containing a systematic exposition ...
James B. Dodd
Visualització completa - 1860
acres added algebraic antecedent approximate value Arithmetical Progression Binomial Theorem cent coefficient common denominator common logarithm component factors compound interest Continued Fraction corresponding cube root decimal figures denotes derivative Divide the number dividend divisor Equation containing Equation x3 example exponent extracting the square Find a number Find the cube Find the Product Find the Quotient Find the square Find the Sum Find the value Find two numbers Formula Function geometrical progression given Equation given fraction given number greater greatest common measure Hence imaginary improper Fraction Inequality infinite integral irrational least common multiple less Let x represent logarithm method miles mixed quantity monomial multiplied negative number of terms obtained permutations polynomial positive preceding problem proper fraction proportion quadratic Quadratic Equations ratio real roots Reduce remainder Resolve second equation second member second term side signs changed simplest form solution square root substituted subtracting Surds Theorem transposing unknown quantity yards
Pàgina 307 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the...
Pàgina 113 - Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third.
Pàgina 93 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Pàgina 185 - A set out from C towards D, and travelled 7 miles a day. After he had gone 32 miles, B set out from D towards C, and went every day J^ of the whole journey; •and after he had travelled as many days as he went miles in a day, he met A. Required the distance from C to D.
Pàgina 214 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?
Pàgina 88 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.
Pàgina 87 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Pàgina 68 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.