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: Oh, and their suggestion of "free 15Mbps internet connectivity" is underspecified and stupid. I would just have someone or other design a mandatorily-implemented-in-all-computers-with-communications-hardware self-organizing mesh network protocol.
gollark: Schools would be replaced with large warehouse-type spaces with computers, vaguely intelligent-looking adults and arbitrarily large quantities of children in them.
gollark: The profit margin cap on companies is obviously stupid. Instead, clones of me (technology TODO) would be authorized to randomly inspect and restructure companies to make them work better.
gollark: In the interests of fairness (treating people how they want to be treated), the death penalty would only be used on people who had previously supported the death penalty.
gollark: So I would instead assign a quota for *total* health, and distribute healthcare to maximize that.

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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