. Encyclopaedia : or, A dictionary of arts, sciences, and miscellaneous literature; constructed on a plan, by which the different sciences and arts are digested into the form of distinct treatises of systems ... . 3, and 5. As to the gari^hm>,fother numbers which may be compofed of 7, of 11,&c. ; he recommends to find their logarithms in thegeneral way, the fame as if they were incompolites, asit is not worth while to feparate them in fo eafy amode of calculation. So that of the 90 chiliads ofnumbers from roooo to iooco®, only 24 chiliads areto be computed. Neither indeed are all of thefe t
. Encyclopaedia : or, A dictionary of arts, sciences, and miscellaneous literature; constructed on a plan, by which the different sciences and arts are digested into the form of distinct treatises of systems ... . 3, and 5. As to the gari^hm>,fother numbers which may be compofed of 7, of 11,&c. ; he recommends to find their logarithms in thegeneral way, the fame as if they were incompolites, asit is not worth while to feparate them in fo eafy amode of calculation. So that of the 90 chiliads ofnumbers from roooo to iooco®, only 24 chiliads areto be computed. Neither indeed are all of thefe ta be calculated from the foregoing feries for __ 1 but b—conly a few of them in that way, and the reft by theproportion in the 8th proportion. Thus, having com-puted the logarithms of 10003 and 10013, omitting10023 as being divilible by 3, eftimate the logarithmsof 10035 and 10043, which are the 301I1 numbersfrom 10003 and 10013 ; and again, omitting 10053,a multiple of 3, find the logarithms of 10063 and10073. Then by prop. 8 fo 13006, the difference between the logarithms of 10003 and 10033,to 12967, the difference between the logarithms of 10033 and 10063 { That is, ift As Again, As And 3dly, as. 10018 10028 13006 12992 10038 : : 12979 12967&c. 12953&c. 12940&c. And with this our author concludes his compendium might have been found by computing, by means of for conftructing the tables of logarithms.\ 6. Gregorys Method. This is founded upon an analogy between a fcale oflogarithmic tangents and Wrights protraction of thenautical meridian line confiding of the fumsofthefe-cants. It is not known by whom this difcovery wasmade -, but, about 1645, it was publifhed by Mr HenryBond, who mentions this property in Norwoods Epi-tome of Navigation. The mathematicaldemonftrationof it was firlt inveftigated by Mercator -, who, with aview to make fome advantage of his difcovery, offered,in the Philofophical Tranfacfions for June 4th 1666,to lay a wager with any one concerning it ; but
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