The book A Treatise On Plane And Spherical Trigonometry was written by author Robert Woodhouse Here you can read free online of A Treatise On Plane And Spherical Trigonometry book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is A Treatise On Plane And Spherical Trigonometry a good or bad book?
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12= Iog.3 + log.4 — log.3+2log.2 log. 14= = log. 2+log. 7 log. 15= = log. 3+log. 5 log. 16= log. 2*.. = 4 log. 2 log. 64= log. 2* - ss «log« 2. The logarithms of IS, 17, 19, «S, 29, &c. cannot be easily computed from the series [\], since "~ , the larger N is, approaches to l: with the preceding numbers iS, l7, &c. the fraction would be respectively, — , or-, — , or-, -r-, -rT* ^'^' and the numbers also being prime cannot be resolved into factors ; but if they algebraically be expressed after t...his manner, viz. W^ = (iST - 1) (^1 + j5-^)> then log. N = log. (N - 1) + log. (\ + j^^4-l) == by [i], page 214 -, and thus, the logarithms may be computed by series that converge with sufficient rapidity. For instance, if 2yr=13; log. ,3=log. 12+i(^ _ __L_ + _i_, - &e.) if2yr=17; log.l7=log.l6+i(3L_-J_ + ^,_&c.) if JV=23 ; log. 23^1og. 22+^-(^ _ _|_ + ^ - &c.) if2^=29i log.29=log.28^(^- ^+5-^-&c.) Digitized by VjOOQ IC 320 « In these expressions^ the logarithms of 12| 16, 22, 28, are known from the logarithms of their factors, see p.
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