# Mathematical tables: contrived after a most comprehensive method: viz, a table of logarithms, from 1 to 101000. To which is added (upon the same page) the differences and proportional parts, whereby the logarithm of any number under 10,000,000 may be easily found. Tables of natural sines, tangents, and secants ... Tables of natural versed sines ... With their construction and use (Livre numérique Google)

Printed for R. and W. Mount, and T. Page, 1717 - 64 pages

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Page 14 - Now thefe rativncula are fb to be underflood as in a continued Scale of Proportionals infinite in Number between the two terms of the ratio, . which infinite Number of mean Proportionals is to that infinite Number of the like and equal...
Page 21 - Step of the former Series. But that which renders it yet more Eligible, is, that with equal facility it ferves for Яг»д'з,ог any other fort of Logarithms, with the only variation of writing i al Ы ¿4-Н/л — ioftead of i* that is, *-Hr~r/ аш* * — ТГГ7...
Page 12 - Seffa declared, that he would be contented with this fmall one. So the Reward he had fix'd upon Was order'd to be given him : But the King was quickly...
Page 19 - Which is the Logarithm of 23 to thirty two places, and obtained by five Divifions, with very fmall Divifors ; all which is. much lefs Work, than fimply multiplying the Series into the faid.
Page 19 - Work, the (aid 434294 4819, &c. is divided by 1057 and the Quotient thereof again divided by three times the Square of 1057, and that Quotient again by...
Page 117 - And the second arc, comprehended between the same segment and the other angle, is to be found thus : add the sine of the arc found to the tangent of the given angle next...
Page 20 - Logarithm, whether greater or lefTer, and call its number a if leflèr, or b if greater than the given L, and the difference thereof from the faid neareft Logarithm you call /;. it will follow, that the Number anfwering to the Logarithm L will be either a into if 1-\-\П-\-\1г-{-^'\-,\^ &с.
Page 20 - Iiv dex whatfoevcr, which is a full and general Propofition from the Logarithm given to find the Number, be the Species of Logarithm what it will. But if Napeir's Logarithm be given, the Multiplication by m is faved (which Multiplication is indeed no other than the reducing the other Species to his) and the Series will be more fimple, viz..
Page 111 - ... rumbs with the meridian. Hence it follows, that the difference of the log. tangents of the half complements of the latitudes, is to the difference of longitude a ship makes...
Page 14 - ... decrement of the firft of thofe means from unity, will be a ratiuncula ; that is, the momentum or fluxion of the ratio of unity to the faid number. And feeing that in thefe continual proportionals all the...