On the relation of cardioids to ellipses
1854 ◽
Vol 6
◽
pp. 267-268
The object of this communication is to point out the relation of cardioids to ellipses, and that the former as well as the latter are related to and deducible from the cone. The author remarks that the motions of the common trammel show most beautifully the mechanical relation of ellipses and cardioids, and that they are thus reciprocals of each other; that an ellipse, as is well known, is a plane section , or a projection of a plane section of a cone upon any other plane, the limits being the circle and the right line; and a cardioid is also a projection from a cone; the difference being that the cardioid is obtained from a curved section, formed by the intersection of a sphere or other curved solid with a cone.
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2006 ◽
Vol DMTCS Proceedings vol. AG,...
(Proceedings)
◽
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2013 ◽
Vol 3
(2)
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pp. 438-473
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