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 σελίδες
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acres added amount antecedent applied approximate Arithmetical become binomial cent changed coefficient common denominator complete consequent consists containing corresponding cube root decimal denominator denotes derivative determined difference divided dividend division divisor equal equation equivalent evident example EXERCISES exponent expressed extracting factors figures Find the cube Find the Product Find the square Find the value Formula four fourth fraction Function given given Equation gives greater Hence increased integral interest less letters logarithm manner means method miles multiplied negative obtain period permutations persons places polynomial positive preceding principles problem progression proportion quotient ratio Reduce remainder represent Resolve respectively result rods Rule second term share side similar simplest form solution square root substituted subtracting successive Surds taken Theorem third twice units unknown quantity value of x whole yards
Σελίδα 299 - 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...
Σελίδα 105 - 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.
Σελίδα 85 - 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.
Σελίδα 177 - 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.
Σελίδα 206 - 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?
Σελίδα 80 - 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.
Σελίδα 79 - 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.
Σελίδα 60 - 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.