Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the Capacities of the Young, and the Method of Instruction, in Schools and Academies |
From inside the book
Results 1-5 of 54
Page 13
... hence he must have received two shares . By adding their respective shares , the sum is six shares , which by the conditions of the question is equal to 72 dols . If then 6 shares are equal to 72 dols . , 1 share is equal to of 72 , viz ...
... hence he must have received two shares . By adding their respective shares , the sum is six shares , which by the conditions of the question is equal to 72 dols . If then 6 shares are equal to 72 dols . , 1 share is equal to of 72 , viz ...
Page 19
... Hence every co - efficient may be considered a factor . ( Art . 17. ) In the product 3y , 3 is a factor as well as y . 25. A quantity is said to be resolved into factors , when any factors are taken , which , being multiplied together ...
... Hence every co - efficient may be considered a factor . ( Art . 17. ) In the product 3y , 3 is a factor as well as y . 25. A quantity is said to be resolved into factors , when any factors are taken , which , being multiplied together ...
Page 26
... Hence x + b is the answer : i . e . John has the sum of a marbles add- ed to b marbles . x 2. What is the sum of 3b dollars added to the sum of c dollars and f dollars ? By algebraic notation , 3b + c + f dollars is the answer . 45. The ...
... Hence x + b is the answer : i . e . John has the sum of a marbles add- ed to b marbles . x 2. What is the sum of 3b dollars added to the sum of c dollars and f dollars ? By algebraic notation , 3b + c + f dollars is the answer . 45. The ...
Page 31
... Hence 5a - 3a pears repre- sents the answer . But 5a - 3a = 2a pears . - · Ans . 2. A gentleman owns a house valued at $ 4500 ; but he is in debt $ 800 . How much is he worth ? $ 4500- $ 800- $ 3700 . Ans . 58. Let us now attend to the ...
... Hence 5a - 3a pears repre- sents the answer . But 5a - 3a = 2a pears . - · Ans . 2. A gentleman owns a house valued at $ 4500 ; but he is in debt $ 800 . How much is he worth ? $ 4500- $ 800- $ 3700 . Ans . 58. Let us now attend to the ...
Page 44
... Hence , QUEST . - What is division ? Of what , the reverse ? The quantity to be divided , called ? To divide by ? The quantity sought ? DIVISION is finding a quotient , which multiplied into the 44 [ Sect . V -ALGEBRA .
... Hence , QUEST . - What is division ? Of what , the reverse ? The quantity to be divided , called ? To divide by ? The quantity sought ? DIVISION is finding a quotient , which multiplied into the 44 [ Sect . V -ALGEBRA .
Common terms and phrases
4th power added affected quadratic algebraic antecedent arithmetical binomial BINOMIAL THEOREM common denominator common difference common index completing the square compound quantities contains cube root denoted Divide the number dividend division divisor dollars equal factors evolution EXAMPLES FOR PRACTICE expressed extermination Find the square find two numbers following GENERAL RULE fractional index gallons geometrical geometrical progression given quantity greater greatest common measure Hence highest power improper fraction integer involution last term less letter lowest power merator Mult multiplicand multiplying the equation negative quantity nth root number of terms preceding prefixed Prob proportion quadratic equation quan QUEST.-How QUEST.-What quotient radical quantities radical sign ratio rational quantities Reduce the equation remainder Required the cube Required the nth sides sign or index square of half square root substituting subtracted third tion tity Transposing twice unknown quantity whole yards
Popular passages
Page 51 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 210 - It is evident that the terms of a proportion may undergo any change which will not destroy the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes.
Page 232 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Page 198 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c.
Page 94 - Hence any odd power has the same sign as its root. But an even power is positive, whether its root is positive or negative.
Page 65 - To multiply a fraction by a fraction. Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 58 - To reduce fractions of different denominators to a common denominator. Multiply each numerator into all the denominators except its own for a new numerator ; and all the, denominators together^ for a common denominator. 8. Reduce -r, and -,, and — to a common denominator. 6
Page 21 - One quantity is said to be a measure of another, when the former is contained in the latter any number of times, without a remainder.
Page 228 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Page 183 - The same method which is employed for the reduction of three equations, may be extended to 4, 5, or any number of equations, containing as many unknown quantities. The unknown quantities may be exterminated, one after another, and the number of equations may be reduced by successive steps from five to four, from four to three, from three to two, &c. !' I"*! *t y t