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" If A, B, C, D, E be five points on a circle, the consecutive intersections of the nine-point circles of the triangles ABC, BCD, CDE, DEA, EAB lie on another circle whose radius is one half that of the first. (16) In triangle ABC the circles described... "
Mathematical Questions and Solutions, from the "Educational Times": With ... - Page x
edited by - 1867
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Mathematical Questions and Solutions, from the "Educational Times.", Volume 7

1867 - 120 pages
...L (I —5P) dx = 1—3 (^Y2259. (Proposed by J. GRIFFITHS, MA)— Prove geometrically that if A, H, C, D, E be five points on a circle, the consecutive...intersections of the nine-point circles of the triangles ABC, BOO, CDE, DBA, EAB, lie on unotlier circle whose radius is one-halt that of the first. Solution by...
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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - Mathematics - 1893 - 352 pages
...U', V, W, A", B", C" lie on a circle whose centre coincides with M', and whose radius is R/n. (15) If A, B, C, D, E be five points on a circle, the consecutive...intersections of the nine-point circles of the triangles ABO, BCD, CDE, DEA, EAB lie on another circle whose radius is one half that of the first. (16) In triangle...
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Proceedings of the Edinburgh Mathematical Society, Volume 11

Edinburgh Mathematical Society - Electronic journals - 1893 - 256 pages
...U', V, W, A", B", C" lie on a circle whose centre coincides with M', and whose radius is H/n. (15) If A, B, C, D, E be five points on a circle, the consecutive...CDE, DEA, EAB lie on another circle whose radius is one half that of the first. (16) In triangle ABC the circles described on AG, B'C', EC as diameters...
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