Algebra for High Schools and Colleges: Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the SciencePratt, Oakley & Company, 1859 - 306 pagine |
Dall'interno del libro
Risultati 1-5 di 42
Pagina 10
... greater term . Thus 7a - 3a is 4a ; just as 7 cents the sum of 7a and -3a is 4a . - 3 cents is 4 cents ; that is , - And 3a -- 7a is -4a . For -7a is equal to -3a - 4a ( 27 ) ; then 3a - 7a is equal to 3a - 3a - 4a ; 3a and -3a cancel ...
... greater term . Thus 7a - 3a is 4a ; just as 7 cents the sum of 7a and -3a is 4a . - 3 cents is 4 cents ; that is , - And 3a -- 7a is -4a . For -7a is equal to -3a - 4a ( 27 ) ; then 3a - 7a is equal to 3a - 3a - 4a ; 3a and -3a cancel ...
Pagina 25
... on the left of the dividend , and the quotient under the divisor . This arrangement is thought to afford greater facility in multiplying the divisor by the quotient term . EXERCISES . 16. Divide a2 - 2ax + x2 by DIVISION . 25.
... on the left of the dividend , and the quotient under the divisor . This arrangement is thought to afford greater facility in multiplying the divisor by the quotient term . EXERCISES . 16. Divide a2 - 2ax + x2 by DIVISION . 25.
Pagina 31
... greater or less , we have reference to the coefficients and exponents of the same letters , and not to any particular values which the letters may be supposed to represent . Thus a2 is , algebraically , always greater than a ; though ...
... greater or less , we have reference to the coefficients and exponents of the same letters , and not to any particular values which the letters may be supposed to represent . Thus a2 is , algebraically , always greater than a ; though ...
Pagina 38
... greater than unity , that will divide them , without a remainder , -placing the quotients and the undivided quantities in a line below . 2. Divide any two or more of the quantities in the lower line , as before ; and so on , until no ...
... greater than unity , that will divide them , without a remainder , -placing the quotients and the undivided quantities in a line below . 2. Divide any two or more of the quantities in the lower line , as before ; and so on , until no ...
Pagina 44
... greater than b ; then , changing the signs , b - a will be negative . a - b The Fraction OC y is therefore equivalent to b - a y - x What other changes may be made in the signs , without af ecting the value , of this fraction ...
... greater than b ; then , changing the signs , b - a will be negative . a - b The Fraction OC y is therefore equivalent to b - a y - x What other changes may be made in the signs , without af ecting the value , of this fraction ...
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Altre edizioni - Visualizza tutto
Algebra for High Schools and Colleges: Containing a Systematic Exposition ... James B. Dodd Visualizzazione completa - 1860 |
Algebra for High Schools and Colleges: Containing a Systematic Exposition ... James B. Dodd Visualizzazione completa - 1854 |
Parole e frasi comuni
acres added amount applied approximate Arithmetical become binomial cent changed coefficient complete consists containing corresponding cube root decimal denotes Derivative determined difference divided dividend division divisor equal equation equivalent evident example EXERCISES exponent expressed 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 increased Inequality integral interest known less letters logarithm manner means method miles multiplied negative obtained period permutations person 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
Brani popolari
Pagina 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...
Pagina 209 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Pagina 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.
Pagina 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.
Pagina 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.
Pagina 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?
Pagina 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.
Pagina 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.
Pagina 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.
Pagina 244 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log