The student's algebra1881 |
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
2ab+b² a+b)² a+b+c a²+b² a²x² abc2 algebraic binomial brackets cistern column common multiple Divide dividend division divisor exponent expression Extracting root feet Find the G.C.M. Find the number Find the sum Find the value following equations fraction gallons given quantity gives greater Illustrative Examples indicated least common least common denominator least common multiple method mile per hour minus Multiply negative number of hours number of miles number of minute number of terms numerator and denominator obtained quadratic equation quadratic surd quotient Reduce remainder root-sign second power second term sheep side Similarly simplest form Simplify solution Solve the equation square root substitution Subtract surd Theorem Transposing unknown quantity x²+1 x²y² ах
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 365 - Therefore the number of permutations of n things taken r at a time is n (n - l) (n - 2) (n-r+l).
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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?
Σελίδα 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.