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 74
Pagina vii
... ) -Two Methods of representing the Quotient when the Divisor is not a Factor of the Dividend , ( 77 ) .— How any Factor may be transferred from the Numerator to the Denominator , and vice versa , ( ANALYSIS OF CONTENTS . vii.
... ) -Two Methods of representing the Quotient when the Divisor is not a Factor of the Dividend , ( 77 ) .— How any Factor may be transferred from the Numerator to the Denominator , and vice versa , ( ANALYSIS OF CONTENTS . vii.
Pagina ix
... represented , ( 129 ) .- Direct and Inverse Ratio , ( 130 ) .- Compound Ratio , ( 131 ) .— Ratio of the first to the last of any Num- ber of Quantities , ( 132 ) .- Duplicate and Triplicate Ratios , ( 133 ) .- Equi- multiples and ...
... represented , ( 129 ) .- Direct and Inverse Ratio , ( 130 ) .- Compound Ratio , ( 131 ) .— Ratio of the first to the last of any Num- ber of Quantities , ( 132 ) .- Duplicate and Triplicate Ratios , ( 133 ) .- Equi- multiples and ...
Pagina xiii
... represented , ( 270 ) .— An Indeterminate Problem - How represented , ( 271 ) .— An Impossible Problem— How represented , ( 272 ) .— Greatest Product of any two Parts into which any Quantity may be divided , ( 273 ) .— Signification of ...
... represented , ( 270 ) .— An Indeterminate Problem - How represented , ( 271 ) .— An Impossible Problem— How represented , ( 272 ) .— Greatest Product of any two Parts into which any Quantity may be divided , ( 273 ) .— Signification of ...
Pagina xv
... representing an Infinitesimal , ( 341 ) . Any Finite quantity × Infinity , ( 342 ) .— A Finite quantity × an Infinitesi- mal , ( 343 ) .— A Finite quantity Infinity - A Finite quantity connected by + or to infinity , ( 344 ) .- Infinity ...
... representing an Infinitesimal , ( 341 ) . Any Finite quantity × Infinity , ( 342 ) .— A Finite quantity × an Infinitesi- mal , ( 343 ) .— A Finite quantity Infinity - A Finite quantity connected by + or to infinity , ( 344 ) .- Infinity ...
Pagina 2
... represented by a or b , will generally be understood as known in value ; while the quan- tity x or y will be unknown or required . Quantities represented by letters are called literal quantities , in contradistinction to numbers or ...
... represented by a or b , will generally be understood as known in value ; while the quan- tity x or y will be unknown or required . Quantities represented by letters are called literal quantities , in contradistinction to numbers or ...
Sommario
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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