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 σελίδες |
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Σελίδα xi
... PERMUTATIONS , ( 193 ) .- Number of Permutations , how found , ( 194 ) .— COMBINATIONS , ( 195 ) .- Number of Combinations , how found , ( 196 ) .- INVO- LUTION , ( 197 ) .— A Higher Power found from lower Powers of the same Quan- tity ...
... PERMUTATIONS , ( 193 ) .- Number of Permutations , how found , ( 194 ) .— COMBINATIONS , ( 195 ) .- Number of Combinations , how found , ( 196 ) .- INVO- LUTION , ( 197 ) .— A Higher Power found from lower Powers of the same Quan- tity ...
Σελίδα 120
... , & c . miles on successive days . They meet in 10 days ; what is the distance be- tween the two places from which they traveled ? Ans . 414 miles . 121 CHAPTER VIII . PERMUTATIONS AND COMBINATIONS . - INVOLUTION 120 PROBLEMS .
... , & c . miles on successive days . They meet in 10 days ; what is the distance be- tween the two places from which they traveled ? Ans . 414 miles . 121 CHAPTER VIII . PERMUTATIONS AND COMBINATIONS . - INVOLUTION 120 PROBLEMS .
Σελίδα 121
... PERMUTATIONS AND COMBINATIONS . - INVOLUTION . - BINOMIAL THEOREM . - EVOLUTION . PERMUTATIONS . ( 193. ) PERMUTATIONS are the different orders of succession in which a given number of things may be taken - either the whole number to ...
... PERMUTATIONS AND COMBINATIONS . - INVOLUTION . - BINOMIAL THEOREM . - EVOLUTION . PERMUTATIONS . ( 193. ) PERMUTATIONS are the different orders of succession in which a given number of things may be taken - either the whole number to ...
Σελίδα 122
... permutations of n letters , taken three and three , in which a stands first . We should find the same number of permutations of n letters , taken three and three , in which 6 stands first ; and so for each of the n letters . Hence we ...
... permutations of n letters , taken three and three , in which a stands first . We should find the same number of permutations of n letters , taken three and three , in which 6 stands first ; and so for each of the n letters . Hence we ...
Σελίδα 123
... permutations , of the letters a and b . In Permutations we have regard to the order of succession , and may therefore have two permutations of two things . In Combinations we do not consider the order of succession ; so that the ...
... permutations , of the letters a and b . In Permutations we have regard to the order of succession , and may therefore have two permutations of two things . In Combinations we do not consider the order of succession ; so that the ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
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 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.
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.
Σελίδα 244 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log