## Algebra for High Schools and Colleges: Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the Science |

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### Términos y frases comunes

acres added amount applied approximate Arithmetical become binomial cent changed coefficient common denominator complete 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 four fourth fraction Function given given Equation gives greater greatest common measure Hence imaginary impossible increased Inequality integral interest known least common less letters logarithm manner means method miles multiplied negative obtained period persons piece places polynomial positive preceding principles problem progression proportion quadratic quotient ratio Reduce remainder represent Resolve result rods Rule share side similar simplest form solution square root substituted subtracting successive Surds taken third twice units unknown quantity value of x whole yards

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Página 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.

Página 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.

Página 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.

Página 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?

Página 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.

Página 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.

Página 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.

Página 244 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log