 Take a cone with vertex 0 whose surface passes through the circle or ellipse just drawn. This is possible even when the curve is an ellipse, because the line from 0 to the middle point of AD is perpendicular to the plane of the ellipse, and the construction...  Treatise on Conic Sections - Page xlvby Apollonius (of Perga.) - 1896 - 254 pagesFull view - About this book
 | Archimedes - Geometry - 1897 - 532 pages
...that, if d be the other axis, d*:AD' = CB* -.FC.CO. Take a cone with vertex 0 whose surface passes through the circle or ellipse just drawn. This is...to the plane of the ellipse, and the construction is effected by means of Prop. 7. Let P be any point on the given ellipse, and we have only to prove... | |
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...diameter AD, or (6), if not, an ellipse on AD as axis such that if d be the other axis d':AD'=Cff:FC.CG. Take a cone with apex 0 and passing through the circle...lies on the surface of the cone so described. Draw PN perpendicular to A A'. Join ONt and produce it to meet AD in M. Through M draw HK parallel to A'... | |
 | Arhimēdēs - 2004 - 522 pages
...ellipse on AD as axis such that, if d be the other axis, Take a cone with vertex 0 whose surface passes through the circle or ellipse just drawn. This is...to the plane of the ellipse, and the construction is effected by means of Prop. 7. Let P be any point on the given ellipse, and we have only to prove... | |
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