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 vii
... resolved into Two unequal Binomial Factors , ( 61 . ) - One Quantity a MEASURE of another -A Common Measure of Two or more Quantities , ( 62 ) .- Greatest Common Measure of Two or More Quantities , ( 63 ) .— Composition of the Greatest ...
... resolved into Two unequal Binomial Factors , ( 61 . ) - One Quantity a MEASURE of another -A Common Measure of Two or more Quantities , ( 62 ) .- Greatest Common Measure of Two or More Quantities , ( 63 ) .— Composition of the Greatest ...
Σελίδα 27
... Resolve 2a + 4ax - 6a2x2 into component factors . Resolve a2x - 3ax2 + 8ay2 into component factors . Resolve 4a2 + a2b - 5a2y into component factors . Resolve 2a3-3ax + 7a4y into component factors . Resolve 5ax + 5a2x - 10a3x3 into ...
... Resolve 2a + 4ax - 6a2x2 into component factors . Resolve a2x - 3ax2 + 8ay2 into component factors . Resolve 4a2 + a2b - 5a2y into component factors . Resolve 2a3-3ax + 7a4y into component factors . Resolve 5ax + 5a2x - 10a3x3 into ...
Σελίδα 29
... Resolve a3 - 8x3 into component factors . Ans . ( a - 2x ) ( a2 + 2ax + 4x2 ) . 6. Resolve 1-8y3 into component factors . Ans . ( 1—2y ) ( 1 + 2y + 4y2 ) 7. Resolve 1 + 27x3 into component factors . 8 Resolve 8a3-27y3 into component ...
... Resolve a3 - 8x3 into component factors . Ans . ( a - 2x ) ( a2 + 2ax + 4x2 ) . 6. Resolve 1-8y3 into component factors . Ans . ( 1—2y ) ( 1 + 2y + 4y2 ) 7. Resolve 1 + 27x3 into component factors . 8 Resolve 8a3-27y3 into component ...
Σελίδα 30
... Resolve a2 + 7a + 12 into component factors . 22. Resolve x2 + x - 30 into component factors . 23. Resolve a2-8a - 20 into component factors . 24. Resolve y2-10y - 39 into component factors . Ans . ( a + 3 ) ( a + 4 ) . Ans . ( x + 6 ) ...
... Resolve a2 + 7a + 12 into component factors . 22. Resolve x2 + x - 30 into component factors . 23. Resolve a2-8a - 20 into component factors . 24. Resolve y2-10y - 39 into component factors . Ans . ( a + 3 ) ( a + 4 ) . Ans . ( x + 6 ) ...
Σελίδα 31
... in each quantity . For example , the common factors in 3axy2 and 6a2y2z are 3 , a , and y2 ; and 3ay2 is the greatest common measure of the two quan tities . But as no general Rule can be given for resolving COMMON MEASURE . 31.
... in each quantity . For example , the common factors in 3axy2 and 6a2y2z are 3 , a , and y2 ; and 3ay2 is the greatest common measure of the two quan tities . But as no general Rule can be given for resolving COMMON MEASURE . 31.
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
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