Plane trigonometry, by S.L. Loney.
444 TRIGONOMETRY. Hence we have - 2 2(+22+ +... ad inf. =-, 2 774 4 24 34 ) 180'.r4 +.. 1 8 0 ' 1 1 1 7r2 Hence 1 - 1 12 22 + 32 +....(3) 1 1 1 7r4 and + + - +.... (4), and 1+214+3+...= 9............ (4) 374. By proceeding in a similar manner with the result of Art. 370 we have 402 4 02i 1 402 ( - 7r2) 77_327r2) ( 527r2) 02 04 =cos = 1- +-.... so that log (I- ) + log (- + log (- ) 1 -....'2 0 1 +...=log [-1 2 - 2.4.. J Hence as before -/02 4 \1,02 04 02 04 _ 1 /04 1 \0 2 =2 4- +'" - - +'" )= - 2- 12 " '" =2 24 2 4 2 12..
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About this Item
- Title
- Plane trigonometry, by S.L. Loney.
- Author
- Loney, Sidney Luxton, 1860-
- Canvas
- Page 437
- Publication
- Cambridge [Eng.]: University press,
- 1893.
- Subject terms
- Plane trigonometry.
Technical Details
- Link to this Item
-
https://name.umdl.umich.edu/abn7298.0001.001
- Link to this scan
-
https://quod.lib.umich.edu/u/umhistmath/abn7298.0001.001/468
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DPLA Rights Statement: No Copyright - United States
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IIIF
- Manifest
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https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:abn7298.0001.001
Cite this Item
- Full citation
-
"Plane trigonometry, by S.L. Loney." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abn7298.0001.001. University of Michigan Library Digital Collections. Accessed May 2, 2025.