Select Parts of Saunderson's Elements of Algebra: For the Use of Students at the Universities

W. Bowyer and J. Nichols, 1776 - 412 sider

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Side 399 - To divide one number by another.* Subtract the logarithm of the divisor from the logarithm of the dividend, and the remainder will be the logarithm of the quotient.
Side 286 - Because there are three magnitudes A, B, C, and three others D, E, F, which, taken two and two, in order, have the same ratio ; ex sequali, A is to C, as D to F.
Side 316 - D ; we are to prove that the ratio compounded of the ratios of A to B, of B to C, and of C to D, according to tbe definition of compound ratio, is equal to the ratio of A to D.
Side 285 - Divifion ; when there are four proportionals, and it is inferred, that the Excefs of the firft above the fecond, is to the fecond, as the Excefs of the third above the fourth, is to the fourth.
Side 5 - ... ways, wherein one or more of them may turn up an ace : and the probability that he will do it, as 671 to 625, Anf. THE USE OF LOGARITHMS.
Side 370 - In folving this lad problem it is takeh for granted that every cone is the third part of a cylinder having the fame...
Side 20 - If 3 men, or 4 women, will do a -piece of work in 56 days, how long will one man and one woman be in doing the...
Side 133 - ... 25. It is required to divide the number 100 into two such parts, that if one third of one part be subtracted from one fourth of the other, the remainder may be 11.
Side 323 - Because the revolutions of the primary planets about the sun and of the secondary about Jupiter and Saturn are phenomena of the same kind with the revolution of the moon about the earth, and because it has been moreover demonstrated that the centripetal forces of the primary planets are directed towards the centre of the sun and those of the secondary towards the centres...
Side 42 - ... different kinds of units : So many things taken or repeated so many times. It is sometimes required to take or repeat the whole of the multiplicand, sometimes a certain part of it, sometimes the whole and a certain part of it ; and the meaning of multiplication is extended to cover all of these cases. To multiply by a whole number is to take the multiplicand as many times as is indicated by the whole number. To multiply by a fraction is to take such a part of the multiplicand as is indicated...

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