# Arithmetical Institutions: Containing a Compleat System of Arithmetic, Natural, Logarithmical, and Algebraical in All Their Branches ...

B.Motte and C.Bathurst, 1735 - 380 sider

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Side 14 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Side 15 - ... by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor.
Side 15 - Multiplication. 2, Multiply the Numerator of the Dividend into the Denominator of the...
Side 23 - Quantity will not admit of a Divifor of two Dimenfions. The fame Method may be extended to the Invention of Divifors of more Dimenfions, by feeking in the aforefaid...
Side 26 - Divifor of the Terms in which that Letter is found, and of the remaining Terms in which it is not found ; for that Divifor will divide the ivhole. And if there is no fuch common Divifor, there will be no Divifor of the whole. For Example, if there be propofed the Quantity д-+ — Зал...
Side 24 - ... not, and alfo of all the Terms in which fome other of the Letters is not ; as alfo of all the Terms in which a third, fourth, and fifth Letter is not, if there are fo many...
Side 58 - Man playing at hazard won at the first throw as much money as he had in his pocket ; at the second throw he won 5 shillings more than the square root of what he then had ; at the third throw he won the square of all he then had ; and then he had ill 2. 16½.
Side 56 - Arithmetic, write them orderly under one another, with the signs of proportion ; then add the Logarithms of the second and third terms together, and from their sum subtract the Logarithm of the first term, and the remainder will be the Logarithm of the fourth term, or Answer.
Side 12 - RULE 1. 2. Multiply each numerator into all the denominators except its own, for a new numerator ; and all the denominators...
Side 20 - Ternary or three of them, each Ż)uatetrary, &c. and you will alfa hau: all the compounded Divifors. As, if all the Divifors of the Number 60 are required, divide it by 2, and the Quotient 30 by 2, and the Quotient 15 by 3, and there will remain the indivifible Quotient 5. Therefore the prime Divifors are i, 2, 2, 3, 5 ; thofe...