An Algebra Upon the Inductive Method of Instruction |
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a-piece affected equation answer approximate root arithmetical progression Assume barrels bought cents chance complete the square cost cubic equation cubic foot denominator differential coefficient Diophantine Analysis Divide the number equa equal factors feet Find a number find the logarithm Find the values Find two numbers flour following equations four fourth power fraction function geometrical progression give given greater Hence hour length less letters lever miles number of dollars pounds power of h preceding question quantity quotient reduced remainder represent the number required to find result rods second member second power second root SECTION sheep shillings square number substitute subtracted Suppose terms multiplied third power third root three numbers tion traveled twice unknown number value of x weight whole number yards
Popular passages
Page 284 - It is required to find three numbers such that the product of the first and second...
Page 56 - What fraction is that, to the numerator of which if 1 be added, the fraction will be j : but if 1 be added to the denominator, the fraction will be £ 1 Ans.
Page 284 - A person has two horses, and a saddle worth £50 ; now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
Page 16 - A man when he was married, was three times as old as his wife, but after they had lived together 15 years, he was only twice as old. How old was each at the time of marriage ? Ans.
Page 220 - Find two numbers whose product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes.
Page 157 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Page 108 - The fourth term contains the unknown quantity raised to a power less by 3 than that of the first term, with a coefficient equal to the sum of all the products which can be made by multiplying any three of the roots with contrary signs.
Page 219 - It is required to divide the nnmber 10 into three such parts, that if the first be multiplied by 2, the second by 3, and the third by 4, the three products shall be all equal. Ans.
Page 35 - Ans. $60. 8. What number is that from which if 5 be subtracted, f of the remainder will be 40 ? Ans. 65. 9. A man sold a horse and a chaise for $200, and £ of the price of the horse was equal to J of the price of the chaise.
Page 284 - ... be put on the back of the third, it will make his value triple that of the first and second: what is the value of each horse ? Ans.