The student's algebra |
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Common terms and phrases
added addition amount answer appears apply arithmetical arranged becomes called changed coefficient column common complete compound contains denominator difference distance Divide division divisor equal equation Expand exponent expression factors feet Find the sum Find the value four fourth fraction given gives going greater half hour Illustrative Examples increased indicated known less logarithm means measure method miles minutes Multiply negative Observe obtained person piece placed positive PROP proportional quadratic question quotient raised ratio Reduce remainder represent Resolve result RULE second term shillings side Similarly simple simplest Simplify solution Solve square root stand Substituting subtraction surd taken Theorem third twice unknown quantity whole write written yards
Popular passages
Page 322 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 187 - 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...
Page 187 - A cask A contains 12 gallons of wine and 18 gallons of water; and another cask B contains 9 gallons of wine and 3 gallons of water; how many gallons must be drawn from each cask so as to produce by their mixture 7 gallons of wine and 7 gallons of water t 33.
Page 365 - Therefore the number of permutations of n things taken r at a time is n (n - l) (n - 2) (n-r+l).
Page 42 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — b) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Page 350 - ... the first is to the third as the difference between the first and second is to the difference between the second and third, the quantities a, b, c, are said to be in harmonical proportion.
Page 42 - 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.
Page 194 - A ship sails with a supply of biscuit for 60 days, at a daily allowance of a pound a head ; after being at sea 20 days she encounters a storm in which 5 men are washed overboard, and damage sustained that will cause a delay of 24 days, and it is found that each man's daily allowance must be reduced to fivesevenths of a pound.
Page 164 - 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?
Page 194 - A and B are two towns situated 24 miles apart, on the same bank of a river. A man goes from A to B in 7 hours, by rowing the first half of the distance, and walking the second half.
Bibliographic information
| Title | The student's algebra Roy. sch. series Royal School Series |
| Author | James Mackean |
| Published | 1881 |
| Original from | Oxford University |
| Digitized | 12 Sep 2006 |
| Export Citation | BiBTeX EndNote RefMan |