 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 be equal to A'B', AC to A'C', BC to B'C'. To prove that A ABC = A A'B'C'. Proof. Place A A'B'C' in...  Elementary Geometry: Congruent Figures - Page 131by Olaus Henrici - 1879 - 188 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... | |
 | 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... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...upon the vertex B, the only point common to the two lines. THE ELEMENTS OF GEOMETRY. THEOREM IX. 129. Two triangles are congruent if the three sides of...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
...upon the vertex B, the only point common to the two lines. THE ELEMENTS OF GEOMETRY. THEOREM IX. 129. Two triangles are congruent if the three sides of...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 Albert Wentworth - Geometry - 1888 - 272 pages
...cannot equal BD. PLANE GEOMETRY. — BOOK I. PROPOSITION XXXIII. THEOREM. 160. 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.... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...side and homologous acute angle of the other. Proposition 23. Theorem. 108. Two triangles are equal if the three sides of the one are equal respectively to the three sides of the other. Hyp. Let ABC, DEF be two As having AB = DE, AC = DF, BC = EF. To prove A ABC = A DEF. Proof. Apply... | |
 | William C. Bartol - Geometry, Solid - 1893 - 112 pages
...respectively equal to a side and two adjacent angles of the other. 357. Two triangles are equal when the three sides of the one are equal respectively to the three sides of the other. 358. If two sides of a triangle be equal respectively to two sides of another, but the third side of... | |
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