The Elements of AlgebraHarper & Bros., 1856 - 268 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 6 - 10 από τα 26.
Σελίδα 36
... the other . It is evident that an infinite number of QUEST . - In what does Problem 1 differ from Problem 10 ? similar problems might be proposed , differing from each other 36 ELEMENTS OF ALGEBRA . Problems generalized............
... the other . It is evident that an infinite number of QUEST . - In what does Problem 1 differ from Problem 10 ? similar problems might be proposed , differing from each other 36 ELEMENTS OF ALGEBRA . Problems generalized............
Σελίδα 37
Elias Loomis. similar problems might be proposed , differing from each other only in the number to be divided . We may ... similar manner . We can solve all problems QUEST . - In what does Problem 2 differ from Problem 11 ? In what does ...
Elias Loomis. similar problems might be proposed , differing from each other only in the number to be divided . We may ... similar manner . We can solve all problems QUEST . - In what does Problem 2 differ from Problem 11 ? In what does ...
Σελίδα 38
... similar method is applicable to problems 4 and 13 , 5 and 14 , etc. There is also an analogy between Problems 1 , 2 , 3 , etc. Prob . 1 requires us to divide a number into two parts , one of which is double the other . Prob . 2 re ...
... similar method is applicable to problems 4 and 13 , 5 and 14 , etc. There is also an analogy between Problems 1 , 2 , 3 , etc. Prob . 1 requires us to divide a number into two parts , one of which is double the other . Prob . 2 re ...
Σελίδα 39
... similar remark is applicable to Problems 20 and 29 , Problems 21 and 30 , etc. There is also an analogy between Problems 19 , 20 , 21 , etc. In each of them it is required to divide a proposed number into three parts , such that the sec ...
... similar remark is applicable to Problems 20 and 29 , Problems 21 and 30 , etc. There is also an analogy between Problems 19 , 20 , 21 , etc. In each of them it is required to divide a proposed number into three parts , such that the sec ...
Σελίδα 40
... similar manner that Prob- lems 37 , 38 , 39 , etc. , are all included in the following general problem . Prob . 57. It is required to divide a number a into four parts , the second of which shall be m times as great as the first , the ...
... similar manner that Prob- lems 37 , 38 , 39 , etc. , are all included in the following general problem . Prob . 57. It is required to divide a number a into four parts , the second of which shall be m times as great as the first , the ...
Συχνά εμφανιζόμενοι όροι και φράσεις
A's share apples arithmetical means arithmetical progression bers binomial binomial theorem brandy cents coefficient common denominator common difference complete equation Completing the square cube denotes digits Divide the number dividend divisor dollars equal Examples exponent extract the square factor Find the square Find the sum find the value Find two numbers following RULE four quantities fourth power gallons geometrical progression Give the rule Given greater number Hence horse last term least number Let x represent letters lowest terms metical miles per hour mixed quantity monomial multiplied number of terms obtain paid pears perfect square polynomial preceding problem Prob QUEST.-Give the rule QUEST.-How QUEST.-What quotient radical quantities receive Reduce remainder represent the number Required the square result second degree second power second term shillings solved square root subtract tion Transposing twice units unknown quantity values of x Whence worth yards
Δημοφιλή αποσπάσματα
Σελίδα 75 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Σελίδα 96 - To reduce fractions to a common denominator. RULE. Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Σελίδα 73 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Σελίδα 94 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Σελίδα 85 - ... the first term of the quotient ; multiply the divisor by this term, and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 134 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Σελίδα 76 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Σελίδα 225 - Three quantities are in proportion when the first has the same ratio to the second, that the second has to the third ; and then the middle term is said to be a mean proportional between the other two.
Σελίδα 192 - Multiply the divisor thus increased by the last term of the root, and subtract the product from the last remainder.
Σελίδα 174 - RULE. 1. Separate the given number into periods of two figures, each, beginning at the units place.