Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and Academies |
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Page 33
... suppose he proceeds to find their sum in the following manner : 3 apples , 4 apples , 5 apples , 12 apples . Suppose , however , that , instead of writing the word apples , he should merely use the letter a , thus : 3a 4a 5a 12a REVIEW ...
... suppose he proceeds to find their sum in the following manner : 3 apples , 4 apples , 5 apples , 12 apples . Suppose , however , that , instead of writing the word apples , he should merely use the letter a , thus : 3a 4a 5a 12a REVIEW ...
Page 34
... Suppose it is required to find the sum of the numbers 16 , 25 , and 34 ; in adding these numbers together , they may be written in six different ways in each of which the sum is the same . Thus : 16 16 25 25 34 34 25 34 16 34 16 25 34 ...
... Suppose it is required to find the sum of the numbers 16 , 25 , and 34 ; in adding these numbers together , they may be written in six different ways in each of which the sum is the same . Thus : 16 16 25 25 34 34 25 34 16 34 16 25 34 ...
Page 35
... is thus found that he received + 18c 25c , and spent 7c , which left 18c . 2. Suppose James should receive 5 cents , and then spend 7 cents , what sum would he have left ? If we denote the 5c as positive , the 7c ADDITION . 35.
... is thus found that he received + 18c 25c , and spent 7c , which left 18c . 2. Suppose James should receive 5 cents , and then spend 7 cents , what sum would he have left ? If we denote the 5c as positive , the 7c ADDITION . 35.
Page 36
... suppose that James had a certain sum of money before he received the 5c , we may inquire how much less money he had after the operation , than before it ; or , in other words , what effect the operation had upon his money . The answer ...
... suppose that James had a certain sum of money before he received the 5c , we may inquire how much less money he had after the operation , than before it ; or , in other words , what effect the operation had upon his money . The answer ...
Page 40
... find the difference between two positive similar quantities ? 57. How do you find the difference between two quantities that are not similar ? 2. Again , suppose that it is required to subtract 40 RAY'S ALGEBRA , PART FIRST .
... find the difference between two positive similar quantities ? 57. How do you find the difference between two quantities that are not similar ? 2. Again , suppose that it is required to subtract 40 RAY'S ALGEBRA , PART FIRST .
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Common terms and phrases
added algebraic quantities apples arithmetical progression arithmetical series binomial bushels called cents a piece coefficient common difference complete equation Completing the square denotes Divide the number dividend division dollars entire quantity equal exactly divide exponent expression extract the square find the greatest Find the product Find the square Find the sum find the value following examples fourth fraction geometrical progression geometrical series Give an example greater greatest common divisor Hence last term least common multiple lemon letter minus monomial negative quantities number of terms peaches perfect square polynomial positive quantity pound of coffee preceding prime factors principle proportion pupil quan question quotient ratio Reduce remainder represent the cost represent the number required the numbers required to find result rule second degree solution square root subtracted theorem three numbers tion tities transposing unknown quantity whole number
Popular passages
Page 100 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 22 - Required the distance from A to B, from B to C, and from C to D.
Page 176 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 136 - In any proportion, the product of the means is equal to the product of the extremes.
Page 122 - 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 ? Let x be the number of leaps taken by the hound.
Page 62 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 78 - To find the greatest common divisor of three or more quantities, first find the greatest common divisor of two of them ; then, of that divisor and one of the other quantities, and so on. The last divisor thus found, will be the greatest common divisor sought.
Page 59 - 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.
Page 137 - A farmer has 2 horses, and a saddle worth 25 dollars ; now, if the saddle be put on the first horse, his value will be double that of the second ; but, if the saddle be put on the second horse, his value will be three times that of the first.
Page 219 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.