An elementary treatise on cubic and quartic curves, by A. B. Basset.
232 MISCELLANEOUS CURVES. whence r' =a cot a. e(2+o2 ) tan a and therefore the evolute is a similar spiral. Also the pedal is OY= asina. etana, which is a similar spiral. 350. The spiral of Archimedes is the curve r = aO'; and by ~ 343 it is the pedal of the involute of a circle. The hyperbolic spiral is the curve r = a, and is the reciprocal polar of the involute of a circle. It has an asymptote whose distance from the initial line is a. The lituus is the curve r2 = a2, and the initial line is an asymptote. These last three spirals are included in the equation r = aon.
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About this Item
- Title
- An elementary treatise on cubic and quartic curves, by A. B. Basset.
- Author
- Basset, Alfred Barnard, 1854-1930.
- Canvas
- Page 221
- Publication
- Cambridge,: Deighton, Bell,
- 1901.
- Subject terms
- Curves, Cubic.
- Curves, Quartic.
Technical Details
- Link to this Item
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https://name.umdl.umich.edu/ath7468.0001.001
- Link to this scan
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https://quod.lib.umich.edu/u/umhistmath/ath7468.0001.001/252
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IIIF
- Manifest
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Cite this Item
- Full citation
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"An elementary treatise on cubic and quartic curves, by A. B. Basset." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/ath7468.0001.001. University of Michigan Library Digital Collections. Accessed April 30, 2025.