The student's algebra1881 |
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Common terms and phrases
a+b+c a²+b² a²x² abc2 arithmetical progression binomial column common logarithm Completing square difference Divide dividend division divisor equal exponent expression Extract the square Extracting root feet Find the G.C.M. Find the number Find the sum Find the value following equations fraction given quantity greater harmonical mean Illustrative Examples indicated least common least common multiple logarithm method miles per hour minus minutes Multiply negative number of hours number of terms number of yards obtained PROP quadratic equation quadratic surd quotient ratio Reduce remainder root-sign second power second term sheep shillings side Similarly simple factors simplest form Simplify solution Solve the equation square root substitution subtraction surd Theorem third power unknown quantity x²+1
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.