Two triangles are equal if the three sides of the one are equal respectively to the three sides of the other. In the triangles ABC and A'B'C', let AB = A'B', AC = A'C', BC=B'C'. To prove A ABC= A A'B'C'. Proof. Place A A'B'C' in the position AB'C, having... Plane Geometry - Page 38by George Albert Wentworth - 1899 - 256 pagesFull view - About this book
| 1876 - 646 pages
...text-book you have studied on the subject and to what extent.] 1. Prove that two triangles are equal when **the three sides of the one are equal respectively to the three sides of the other.** 2. A straight line cannot intersect the circumference of a circle in more than two points. 3. Upon... | |
| George Albert Wentworth - Geometry - 1877 - 436 pages
...equal in all respects. GEOMETRY. BOOK I. PROPOSITION XXV. THEOREM. 108. Two triangles are equal when **the three sides of the one are equal respectively to the three sides of the other.** B B' О In the triangles AB С and A' B' C', let AB = A' B', AC = A'C', BC = B' C'. We are to prove... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...equal in all respects. GEOMETRY. BOOK I. PROPOSITION XXV. THEOREM. 108. Tuio triangles are equal when **the three sides of the one are equal respectively to the three** aides of the other. B B' In the triangles ABC and A' B' C', let AB = A' B', AC = A'C', BC = B'C'. We... | |
| Olaus Henrici - Congruences (Geometry) - 1879 - 218 pages
...quadrilateral will be a kite if AC =AC and BC=BC (§ 172). Hence Theorem : Two triangles are co?igruent **if the three sides of the one are equal respectively to the three sides of the other.** § 187. A quadrilateral is also a kite if two adjacent sides are equal, and if the angle between them... | |
| George Albert Wentworth - Geometry, Modern - 1882 - 268 pages
...in all respects. QED GEOMETRY. BOOK I. PROPOSITION XXV. THEOREM. 108. Two triangles are equal when **the three sides of the one are equal respectively to the three sides of the other.** В В' In the trtangles ABC and A' B' C', let AB = A' B', AC = A'C', BC^B' C'. Wearetoprove Д A BC... | |
| George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...and are equal in all respects. QED PROPOSITION XXV. THEOREM. 108. Two triangles are equal when ihe **three sides of the one are equal respectively to the three sides of the other.** B B' In the triangles ABC and A' B' C', let AB = A' B', AC = A' C', 7? (7 = B' C'. We are to prwe AABC... | |
| Marianne Nops - 1882 - 278 pages
...angles ECD and FDC on the other side of the base). Case III. is obvious. Proposition VIII. shows that **two triangles are equal if the three sides of the one are equal** to those of the other each to each. This is the second case of the equality of triangles demonstrated... | |
| George Albert Wentworth - Geometry - 1885 - 424 pages
...coincide, and are equal in all respects. PROPOSITION XXV. THEOREM. 108. Two triangles are equal when **the three sides of the one are equal respectively...three sides of the other. In the triangles ABC and** A' B ' C', let AB = A ' B', AC = A'C', BC = B'C'. We are to prove A ABC = A A ' B' C'. Place A A' £'... | |
| George Bruce Halsted - Geometry - 1885 - 389 pages
...point common to the two lines. THE ELEMENTS OF GEOMETRY. THEOREM IX. 129. Two triangles are congruent **if the three sides of the one are equal respectively to the three sides of the other.** HYPOTHESIS. Triangles ABC and LMN, having AB = LM, BC = MN, and CA = NL. CONCLUSION. A ABC ^ A LMN.... | |
| George Bruce Halsted - Geometry - 1886 - 394 pages
...point common to the two lines. THE ELEMENTS OF GEOMETRY. THEOREM IX. 129. Two triangles are congruent **if the three sides of the one are equal respectively to the three sides of the other.** HYPOTHESIS. Triangles ABC and LMN, having AB = LM, BC = MN, and CA = NL. CONCLUSION. A ABC ^ A LMN.... | |
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