Elements of Algebra |
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Common terms and phrases
a b c d A's money a²x² adfected quadratic Algebraic Fractions annuity arithmetic mean arithmetic progression arithmetic series b² a² Binomial Theorem cent coefficient common difference Complete the square compound interest cube root denominator Divide divisor equal Euclid Examples expressed Extract the square feet find the number find the series Find the sum gallons geometric mean geometric progression greatest common measure harmonic means Hence horse steps least common multiple logarithms lowest terms miles Multiply negative nth term number of combinations number of terms number of variations numbers in arithmetical permutations pounds present value Problems Prop rate per hour remainder represent known quantities shillings signs Simple Equations square root subtract surd unknown quantities x² y² x²y
Popular passages
Page 30 - 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 as much as 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Ans. 300.
Page 86 - There is a number consisting of two digits, which being multiplied by the digit on the left hand, the product is 46; but if the sum. of the digits be multiplied by the same digit, the product is only 10. Required the number. Ans. 23.
Page 32 - Б to A against an equal tide, though he rows back along the shore, where the stream is only three-fifths as strong as in the middle, takes him just two hours and a quarter. It is required from hence to find at what rate per hour the tide runs in the middle, where it is strongest.
Page 86 - A traveled 8 miles a day more than B, and the number of days in which they met was equal to half the number of miles B went in a day ; how many miles did each travel per day 1 Ans.
Page 86 - A detachment of an army was marching in regular column, with 5 men more in depth than in front ; but upon the enemy coming in sight, the front was increased by 845 men ; and by this movement the detachment was drawn up in 5 lines. Required the number of men.
Page 86 - From two places, at the distance of 320 miles, two persons, A and B, set out at the same time to meet each other. A travelled 8 miles a day more than B, and the number of days in which they met was equal to half the number of miles В went in a day.
Page 121 - HARMONICAL PROGRESSION. (247.) A series of quantities is said to be in harmonical progression when, of any three consecutive terms, the first is to the third as the difference of the first and second is to the difference. of the second and third.
Page 91 - When four quantities are proportionals, the product of the extremes is equal to the product of the means. Let a, b, c, d be the four quantities ; then since they are prost С portionals r = -j, (Art.
Page 86 - A detachment from an army was marching in regular column, with 5 men more in depth than in front ; but upon the enemy coming in sight, the front was increased by 845 men, and by this movement the detachment was drawn up in five lines.
Page 86 - There are two rectangular vats, the greater of which contains 20 cubic feet more than the other. Their capacities are in the ratio of 4 to 5 ; and their bases are squares, a side of each of which is equal to the depth of the other vat. Required the depth of each.