On Conoids and Spheroids

On Conoids and Spheroids (Ancient Greek: Περὶ κωνοειδέων καὶ σφαιροειδέων) is a surviving work by the Greek mathematician and engineer Archimedes (c. 287 BC – c. 212 BC). Comprising 32 propositions, the work explores properties of and theorems related to the solids generated by revolution of conic sections about their axes, including paraboloids, hyperboloids, and spheroids.[1] The principal result of the work is comparing the volume of any segment cut off by a plane with the volume of a cone with equal base and axis.[2]

The work is addressed to Dositheus of Pelusium.

Footnotes
  1. Coolidge 1945:7
  2. 1911 Encyclopedia Britannica, Volume 2:369
gollark: Somehow designing the CLI is harder than writing the actual archiver code.
gollark: Discord bots are easy, machine learning is less easy.
gollark: *Do* you think I should actually store the compressed size? It would require either compressing to a temporary file and concatting it on later, or leaving some space in the pre-file-header bit to write it in after it's been compressed.
gollark: I "fixed" it, I just needed to enable single frame mode.
gollark: Arguably I should have some sort of "compressed size" field on it, but that would be work, so *instead* I'll just not do that and add on a length thing if it ever becomes necessary to not zstd-encode files.

References
  • "1911 Encyclopedia Britannica, Volume 2". Retrieved 2018-12-31.
  • Coolidge, J.L. (1945). A history of the conic sections and quadric surfaces. Dover Publications. Retrieved 2018-12-16.CS1 maint: ref=harv (link)
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