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 24
Pagina 16
... place the sign before it ; thus a - b denotes that b , that is , positive b , is to be subtracted from a . The subtraction of a negative monomial , will be denoted by en- closing the quantity , with its negative sign , in a ( ) , and ...
... place the sign before it ; thus a - b denotes that b , that is , positive b , is to be subtracted from a . The subtraction of a negative monomial , will be denoted by en- closing the quantity , with its negative sign , in a ( ) , and ...
Pagina 50
... place the result over said denominator . EXAMPLES . 1. To reduce 3a2 to a Fraction whose denominator shall be a - 2x . 3a2 1 3a2 is the same as ; and by multiplying both terms of this fraction by the proposed denominator , we have 3a2 ...
... place the result over said denominator . EXAMPLES . 1. To reduce 3a2 to a Fraction whose denominator shall be a - 2x . 3a2 1 3a2 is the same as ; and by multiplying both terms of this fraction by the proposed denominator , we have 3a2 ...
Pagina 55
... place the Sum , as a numera- tor , over their common denominator . 3. Mixed quantities may be added under the form of improper fractions ; or the integral and the fractional parts may be added sepa- rately . EXAMPLE . b с To add ...
... place the Sum , as a numera- tor , over their common denominator . 3. Mixed quantities may be added under the form of improper fractions ; or the integral and the fractional parts may be added sepa- rately . EXAMPLE . b с To add ...
Pagina 58
... place the Difference , as a numerator , over the common denominator . 3. A mixed quantity may be taken in subtraction under the form of an improper fraction ; or the integral and the fractional part may be taken separately in ...
... place the Difference , as a numerator , over the common denominator . 3. A mixed quantity may be taken in subtraction under the form of an improper fraction ; or the integral and the fractional part may be taken separately in ...
Pagina 88
... places , which are 154 miles apart , two persons set out at the same time to meet each other , one traveling at the rate of 3 miles in 2 hours , and the other at the rate of 5 miles in 4 hours ; in how many hours will they meet ? Ans ...
... places , which are 154 miles apart , two persons set out at the same time to meet each other , one traveling at the rate of 3 miles in 2 hours , and the other at the rate of 5 miles in 4 hours ; in how many hours will they meet ? Ans ...
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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 Algebraic approximate value Arithmetical Progression Binomial Theorem cent common denominator common difference completing the square component factors Continued Fraction corresponding cube root denotes dividend divisor Equation containing 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 Function Geometrical Progression given Equation given fraction given number greater greatest common measure Hence imaginary improper Fraction Inequality integral irrational last term least common multiple less letters logarithm lowest terms method miles monomial multiplied negative number of terms obtained polynomial positive preceding prefixed problem proportion quadratic Quadratic Equations ratio real roots Reduce remainder required root Resolve second equation second member second term side signs changed simplest form solution square rods square root substituted subtracting Surds unknown quantity value of x whole number 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