Algebraical Problems: Producing Simple and Quadratic Equations, with Their Solutions, Designed as an Introduction to the Higher Branches of Analytics : to which is Added, an Appendix, Containing a Collection of Problems on the Nature and Solution of Equations of Higher Dimensions
Whittaker, 1841 - 438 σελίδες
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2ary addition answer the conditions arithmetic series arithmetical progression brandy casks common difference completing the square containing cost cube digits distance Divide the number equation of fractions extracting the root extracting the square find the values former gain geometric series geometrical progression Given 3a Given tº greater guineas harmonic progression least common multiple length less Let 4a number of acres number of days number of gallons number of miles number of pounds number of shillings number of terms number of yards pence pieces problem proportion quotient received Required the number second equation sheep shil sold square root squaring both sides Substituting this value subtraction third three numbers Transform the equation transposition travelled unknown quantity values of w vºr vºy wheat whence whole number
Σελίδα 24 - In one of the given equations obtain the value of one of the unknown quantities in terms of the other unknown quantity; Substitute this value in the other equation and solve.
Σελίδα 378 - From two places at a 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 B went in a day. How many miles did each travel, and how far per day ? 20.
Σελίδα 2 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.
Σελίδα 371 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished four times as many men as there were companies in the...
Σελίδα 231 - There are two square buildings, that are paved with stones, a foot square each. The side of one building exceeds that of the other by 12 feet, and both their pavements taken together contain 2120 stones. What are the lengths of them separately 1 Ans.
Σελίδα 157 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together. What was the weight of the fish ? Let 2x = the weight of the body in pounds.
Σελίδα 375 - A gentleman bought two pieces of silk, which, together, measured 36 yards. Each of them cost as many shillings per yard as there were yards in the piece, and their whole prices were as 4 to 1. What were the lengths of the pieces ? Solution.
Σελίδα 365 - There is a cistern, into which water is admitted by three cocks, two of which are of exactly the same dimensions. When they are all open, five-twelfths of the cistern is filled in...