 This formula already proves, that if two angles of one triangle are equal to two angles of another, the third angle of the former must also be equal to the third of the latter ; and this granted, it is easy to arrive at the theorem we have in view.  Elements of Geometry: With Notes - Page 165by John Radford Young - 1827 - 208 pagesFull view - About this book
 | 934 pages
...angles of the other. (AAA similarity). As the sum of the angles of a triangle is 180°, it is enough if two angles of one triangle are equal to two angles of the other, for the two triangles to be similar [AA corollary] 11. If the sides of one triangle are... | |
 | Popular educator - 1860 - 424 pages
...which is absurd : hence p cannot enter into the function Ф, and we have simply с = ф: (A, [;).' This formula already proves, that if two angles of...angle of the former must also be equal to the third of the latter ; and this granted, it is easy to arrive at the theorem we have in view. First, let А... | |
 | Physics - 1824 - 504 pages
...which is a straight line ; then C is entirely determined by the angles A and B alone ; therefore, when two angles of one triangle are equal to two angles of another, the third angle of the one is equal to the third angle of the other." Now I shall demonstrate that the preceding reasoning... | |
 | 666 pages
...Solution : In A OAP and A OBQ : And ZAOP = ZSOQ ZP = ZQ B [Each 90°] [ Vertically opposite angles ] [ If two angles of one triangle are equal to two angles of the other triangle; their third angles are also equal. ] Also, AP = BQ A OAP = A OBQ => OA = OB and... | |
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