 | University of Adelaide. Public Examinations Board - Examinations - 1928 - 1280 pages
...conversely, if the corresponding sides of two triangles are proportional, the triangles are equiangular. Triangles which have an angle of the one equal to an angle of the uther, and the sides about the equal angles proportional, are similar. The bisectors of an angle of... | |
 | John of Reading - Religion - 1989 - 242 pages
...clarifies this explanation with an example from optics. In a pair of triangles, if an angle of one is equal to an angle of the other, and the sides containing those angles are proportional, the remaining angles are correspondingly equal. This is merely a proposition of geometry,... | |
 | 1882 - 350 pages
...their sides. 8 marks. 8. Calculate the area of a regular octagon whose side is one inch. 8 marks. 9. Triangles which have an angle of the one equal to an angle of the other, and the sides about these angles reciprocally proportional, are equal. Prove this. 8 marks. 1 0. The perpendiculars... | |
 | University of St. Andrews - 1905 - 682 pages
...EXAMINATIONS. MATHEMATICS (FIRST PAPER). TDESDAY, 4iH OCTOBER 1904 — 9 TO 11 AM GEOMETRY AND TRIGONOMETRY. 1. Triangles which have an angle of the one equal to an angle of the other, and the sides about these equal angles proportional, are similar. If O, A, C, B are points in order on a straight... | |
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The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw... 
