 | Dublin city, univ - 1858 - 264 pages
...of perpendiculars with the point of intersection of bisectors of sides, of any triangle. 14. If the perpendiculars from the vertices of one triangle on the sides of another meet in a point, prove that, vice versd, the perpendiculars from the vertices of the second on the... | |
 | George Salmon - Geometry, Analytic - 1862 - 494 pages
...cos .6 = y cos C denote the three perpendiculars. It remains true, as at Conies, p. 54, that if the perpendiculars from the vertices of one triangle on the sides of another meet in a point, so will the perpendiculars from the vertices of the second on the sides of the first.... | |
 | George Salmon - Geometry, Analytic - 1862 - 490 pages
.../3 cos£ = y cosC denote the three perpendiculars. It remains true, as at Conics, p. 54, that if the perpendiculars from the vertices of one triangle on the sides of another meet in a point, so will the perpendiculars from the vertices of the second on the sides of the first.... | |
 | Richard Townsend - Geometry, Modern - 1863 - 328 pages
...concurrent, so is the other. Ex. 7°. When the three perpendiculars from the vertices of one triangle upon the sides of another are concurrent, the three corresponding perpendiculars from the vertices of the latter upon the sides of the former are alao concurrent. Let ABC and A'B'C' be the two triangles. If A'X,... | |
 | Edinburgh Mathematical Society - Electronic journals - 1913 - 382 pages
...Triangles. (3). It is well known that if the three perpendiculars from the vertices of one triangle to the sides of another are concurrent, the three corresponding perpendiculars from the vertices of the latter to the sides of the former are also concurrent. Two such triangles are said to be reciprocally orthological.*... | |
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Conies, p. 54, that if the perpendiculars from the vertices of one triangle on the sides of another meet in a point, so will the perpendiculars from the vertices of the second on the sides of the first. 