Elementary Treatise on Algebra
W.H. Dennet, 1865 - Algebra - 276 pages
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according added approximate values body called coefficient consequently contain continued product Corollary corresponding denominator denote derivative difference Divide dividend division dollars Elimination enunciation equal EXAMPLES exponent expression factor feet Find Find the greatest Find the sum follows fourth fraction Free function gallons given equation gives greater greatest common divisor Hence increased known last term least less letter limit logarithm means method monomials Multiply negative obtained polynomial positive preceding Problem progression proportion putting quotient radical ratio real roots receive reduced regarded remainder represented result reverse row of signs shillings Solution Solve the equation square root substituted subtracted successive suppressed taken Theorem third unity unknown quantity whence wine
Page 48 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Page 266 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 55 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Page 192 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.
Page 130 - The rule of art. 28, applied to this case, in which the factors are all equal, gives for the coefficient of the required power the same power of the given coefficient, and for the exponent of each letter the given exponent added to itself as many times as there are units in the exponent of the required power. Hence...
Page 47 - Whence it follows that the sum of the antecedents is to their difference as the sum of the consequents is to their difference...
Page 266 - The logarithm of the quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor.
Page 127 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 230 - A complete equation cannot have a greater number of positive roots than there are variations in the...
Page 69 - Ans. — ; — . m-\-n 13. Divide the number 46 into two parts, so that when the one is divided by 7, and the other by 3, the sum of the quotients = 10. Ans. 28 and 18. 14. All my journeyings taken together, says a...