Companion to algebra1883 |
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Common terms and phrases
a+b+c a²+b² a²b a²x² ab² Algebra arithmetic mean b₁ Binomial Theorem change of sign contains continued fraction digits Divide equal equation whose roots EXAMPLES expansion expressed factors Find the chance Find the condition Find the number Find the square find the sum Find the value finding the G.C.M. finite FRANCIS STORR geometric mean harmonic mean imaginary Least Common Multiple least number measures Multiply negative nth term number of combinations number of different number of shot number of terms numbers in A. P. partial fractions positive integer positive quantities prove q factors quadratic quadratic surds radix ratio real root remainder result scale Similarly Simplify Solve the equations sovereigns square root subtract surds things velocity whole number yards
Popular passages
Page 31 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1 Ib.
Page 124 - A pound of tea and three pounds of sugar cost six shillings, but if sugar were to rise 50 per cent, and tea 10 per cent. they would cost 7 shillings.
Page 61 - A number is divisible by 3 if the sum of its digits is divisible by 3• A number is divisible by 9 if the sum of its digits is divisible by 9.
Page 29 - В reaches A four hours after they meet : find the rate at which each train travels. 27. A train A starts to go from P to Q, two stations 240 miles apart, and travels uniformly. An hour later another train В starts from P, and after travelling for 2 hours, comes to a point that A had passed 45 minutes previously. The pace of В is now increased by 5 miles an hour, and it overtakes A just on entering Q. Find the rates at which they started. 28. A cask P is filled with...
Page 31 - The time of a railway journey varies directly as the distance and inversely as the velocity. The velocity varies directly as the square root of the quantity of coal used per mile and inversely as the number of cars in the train. In a journey of 32 miles in f hour with 12 cars, J ton of coal is used.
Page 46 - To find three numbers having equal differences, and such that the square of the least added to the product of the two greater may make 28, but the square of the greatest added to the product of the two less may make 44. Ans. 2, 4, 6.
Page 112 - Hence every equation of an odd degree has at least one real root of a...
Page 132 - Two vessels contain mixtures of wine and water ; in one there is three times as much wine as water, in the other five times as much water as wine. Find how much must be drawn off from each to fill a third vessel which holds seven gallons, in order that its contents may be half wine and half water.
Page 116 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of
Page 30 - Ou a certain road the telegraph posts are at equal distances, and the number per mile is such that if there were one less in each mile the interval between the posts would be increased by 2^| yards.