A Treatise On Plane And Spherical Trigonometry
A Treatise On Plane And Spherical Trigonometry
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In our eReader you can find the full English version of the book. Read A Treatise On Plane And Spherical Trigonometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Treatise On Plane And Spherical Trigonometry
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To quickly assess the difficulty of the text, read a short excerpt:
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.
What to read after A Treatise On Plane And Spherical Trigonometry?
You can find similar books in the "Read Also" column, or choose other free books by Robert Woodhouse to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
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.
What to read after A Treatise On Plane And Spherical Trigonometry?
You can find similar books in the "Read Also" column, or choose other free books by Robert Woodhouse to read onlineMoreLess
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