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). Consisting of 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.

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Footnotes

^ Coolidge 1945:7
^ Heath, Thomas Little (1911). "Archimedes" . 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). "Conoid" . Encyclopædia Britannica. Vol. 06 (11th ed.). Cambridge University Press. p. 964.
Chisholm, Hugh, ed. (1911). "Spheroid" . Encyclopædia Britannica. Vol. 25 (11th ed.). Cambridge University Press. p. 661.

v t e Archimedes
Written works	Measurement of a Circle The Sand Reckoner On the Equilibrium of Planes Quadrature of the Parabola On the Sphere and Cylinder On Spirals On Conoids and Spheroids On Floating Bodies Ostomachion The Method of Mechanical Theorems Book of Lemmas (apocryphal)
Discoveries and inventions	Archimedean solid Archimedes's cattle problem Archimedes' principle Archimedes's screw Claw of Archimedes
Miscellaneous	Archimedes' heat ray Archimedes Palimpsest List of things named after Archimedes Pseudo-Archimedes
Related people	Euclid Eudoxus of Cnidus Apollonius of Perga Hero of Alexandria Eutocius of Ascalon
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