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.
^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.....
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OnConoidsandSpheroids (Ancient Greek: Περὶ κωνοειδέων καὶ σφαιροειδέων) is a surviving work by the Greek mathematician and engineer Archimedes (c. 287...
one of the first to apply mathematics to physical phenomena, working on statics and hydrostatics. Archimedes' achievements in this area include a proof...
circle, the conoid is called a circular conoid. The term conoid was already used by Archimedes in his treatise OnConoidsandSpheroides. The parametric...
165–69. "On the Sphere and the Cylinder; On the Measurement of the Circle; OnConoidsandSpheroids; On Spirals; On the Equilibrium of Planes; On the Quadrature...
optics field, Optics, and lesser-known works including Data and Phaenomena. Euclid's authorship of On Divisions of Figures and Catoptrics has been questioned...
Archimedes’ principle) and for his works on geometry, including Measurement of the Circle andOnConoidsandSpheroids. His work On Floating Bodies is the...
is generally thought that the neighboring Babylonian and Egyptian civilizations had an influence on the younger Greek tradition. Unlike the flourishing...
elaborate on the circle-squaring problem and its metaphorical meanings, including a contrast between unity of truth and factionalism, and the impossibility...
and part of this work survives in his book on the solids of revolution of conics, OnConoidsandSpheroids. The greatest progress in the study of conics...
1007/978-1-4612-5759-2, ISBN 978-1-4612-5761-5 Archimedes, OnConoidsandSpheroids, Lemma to Prop. 2, andOn Spirals, Prop. 10. See "Lemma to Proposition 2", The...
mathematics. He then goes on to summarize the results of On the Sphere and Cylinder (Περὶ σφαίρας καὶ κυλίνδρου) andOnConoidsandSpheroids (Περὶ κωνοειδέων...
titled Volume I, From Thales to Euclid and Volume II, From Aristarchus to Diophantus. It got positive reviews and is still used today. Ten years later,...
and Housin. Although polar rings and rhoptries are present other typical Apicomplexian features including conoid, flagellae, oocysts, sporocysts and pseudocysts...
practice. The Syria and Palestine area has a long tradition of domical architecture, including wooden domes in shapes described as "conoid", or similar to...
Sequence And Fauna, Disappointment Bay Formation, Canadian Arctic Islands". Digitized Theses. Prosh, Eric (1989-01-01). "A Lower Devonian Reef Sequence And Fauna...
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