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 xedited by - 1867Full view - About this book
| 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... | |
| 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... | |
| 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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