 | Theophilus Nelson - Geometry, Modern - 1902 - 154 pages
...triangles equal? What general principle may be inferred from this in regard to two triangles which have two sides and the included angle of one equal,...respectively, to two sides and the included angle of the other? Statement : — 101. Draw a triangle ABC with the sides AB, BC, and CA equal, respectively,... | |
 | Joseph Battell - Force and energy - 1903 - 722 pages
...side is opposite the greater angle.' "Demonstrated under Figure i (Eighth). PROPOSITION XXII. 1 If two triangles have two sides and the included angle...equal respectively to two sides and the included angle oí the other, the triangles are equal.' "Because the third sides, extending over equal space, are... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...Auth. Conclusion. 28. Problem III. To construct an angle equal to a given angle. THEOREM VI 29. If two triangles have two sides and the included angle...equal respectively to two sides and the included angle of the otJier, the triangles are equal. Hyp. In the A ABC and DEF, let AC=DF, AB = DE, To prove that... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...equally distant from AB and BC. Proof. Draw PF _L to AB. Lay off BE = BF and draw PE. A PBF and PBE have two sides and the included angle of one equal respectively to two sides and the included angle of the other, whence ZF = ZE and PF = PE. PE is therefore perpendicular to BC, and P is equally distant... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...angle A + angle B. THEOREM XVII. 77. If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the two triangles are equal in all respects. In the triangles ABC and DEF, let the side AB = DE, AC = DF and the angle A... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...are right angles. PROPOSITION XV. THEOREM 1126. On the same or equal spheres, triangles that have 1. Two sides and the included angle of one equal respectively to two sides and the included angle of the other; or '2. Two angles and the included side of one equal respectively to two angles and the... | |
 | William Schoch - Geometry - 1904 - 152 pages
...to make ABCA1 symmetrical with respect to BC? What parts may these be ? 3. Given two triangles, with two sides and the included angle of one equal respectively to two sides and the included angle of the other. Can you place them together so as to form a symmetrical quadrilateral ? Can you, then,... | |
 | Cora Lenore Williams - Geometry - 1905 - 50 pages
...pentagon; of six, a hexagon; etc. Theor. B. If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the triangles are congruent. ( If the sides of one triangle are arranged in reverse order to the corresponding... | |
 | George Clinton Shutts - 1905 - 260 pages
...to A DEF ? § 50. 6. How, then, does A ABC compare with A DEF ? Model. PROPOSITION VII. Theorem. // two triangles have two sides and the included angle of one, .equal to two sides and the included angle of the other, each to each, the triangles are equal in all respects.... | |
 | David Sands Wright - Geometry - 1906 - 104 pages
...illustrated in the following demonstration : If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the triangles are equal. Given the triangles ABC and DEF, having, respectively, the side AB = the side... | |
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If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal. 
