Summary

Portrait of Thomas Little Heath Thomas Little Heath 1911 Encyclopædia Britannica, Volume 24… (1911)

Heiberg) , shows in Prop. 20 that “it is possible to exhibit a cone and a cylinder cutting one another in one and the same ellipse.” He then solves problems such as—“given a cone (cylinder) and an ellipse on it, to find the cylinder (cone) which is cut in the same ellipse as the cone (cylinder) ” (Props. 21, 22) ; “given a cone (cylinder) to find a cylinder (cone) , and to cut both by one and the same plane so that the sections thus formed shall be similar ellipses” (Props. 23, 24) . In Props. 27, 28 he deals with sub contrary and other similar sections of a scalene cylinder or cone.
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