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
- ^ Coolidge 1945:7
- ^ Heath, Thomas Little (1911). . In Chisholm, Hugh (ed.). Encyclopædia Britannica. Vol. 02 (11th ed.). Cambridge University Press. pp. 368–369, see page 369.
(3) On Conoids and Spheroids.....
References
- Coolidge, J.L. (1945). A history of the conic sections and quadric surfaces. Dover Publications. ISBN 9780486619125. Retrieved 2018-12-16.
External links
- ON CONOIDS AND SPHEROIDS - The Works of Archimedes
- Chisholm, Hugh, ed. (1911). Encyclopædia Britannica. Vol. 06 (11th ed.). Cambridge University Press. p. 964. .
- Chisholm, Hugh, ed. (1911). Encyclopædia Britannica. Vol. 25 (11th ed.). Cambridge University Press. p. 661. .
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