Plane trigonometry, by S.L. Loney.
CHAPTER X. LOGARITHMS. 134. SUPPOSING that we know that 102.4031205 = 253, 026095944 = 407, and 10.50127149 = 102971, we can shew that 253 x 407 = 102971 without performing the operation of multiplication. For 253 x 407 = 102'4031205 x 102-6095944 = 102.4031205+2.6095944 = 1050127149 = 102971. Here it will be noticed that the process of multiplication has been replaced by the simpler process of addition. Again supposing that we know that 1049004055 = 79507, and that 1016334685 = 43, we can easily shew that the cube root of 79507 is 43. For:/79507 = [79507] = (1049004055)3 = 10l X4'9004055 = 101'6334685 43. Here it will be noticed that the difficult process of extracting the cube root has been replaced by the simpler process of division.
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About this Item
- Title
- Plane trigonometry, by S.L. Loney.
- Author
- Loney, Sidney Luxton, 1860-
- Canvas
- Page 137
- Publication
- Cambridge [Eng.]: University press,
- 1893.
- Subject terms
- Plane trigonometry.
Technical Details
- Link to this Item
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https://name.umdl.umich.edu/abn7298.0001.001
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https://quod.lib.umich.edu/u/umhistmath/abn7298.0001.001/170
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- Manifest
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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.