Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other. A Geometry Reader - Page 97by Julius J. H. Hayn - 1925 - 316 pagesFull view - About this book
| George Bruce Halsted - Geometry - 1885 - 389 pages
...equiangular. THEOREM VIII. 128. Two triangles are congruent if two angles and the included side in the one are equal respectively to two angles and the included side in the other. HYPOTHESIS. ABC and LMN two triangles, with £A~£L, £C = £N, AC = LN. CONCLUSION.... | |
| George Bruce Halsted - Geometry - 1886 - 394 pages
...equiangular. THEOREM VIII. 128. Two triangles are congruent if two angles and the included side in the one are equal respectively to two angles and the included side in the other. Jf HYPOTHESIS. ABC and LMN two triangles, with £ A = £ L, £C = 1N, AC = LN. CONCLUSION.... | |
| William Benjamin Smith - Geometry, Modern - 1892 - 170 pages
...pairs of equal parts. 48. Theorem XIV. — Two A having two angles and the included side of the one equal respectively to two angles and the included side of the other are congruent (Fig. 28). TA ~B\ I* B\ FIG. 28. Data: Two A ABC, A'B'C', having «=«', /?=/3', TH.... | |
| William Benjamin Smith - Geometry, Modern - 1892 - 314 pages
...pairs of equal parts. 48. Theorem XIV. — Two A having two angles and the included side of the one equal respectively to two angles and the included side of the other are congruent (Fig. 28). FIG. 28. Data: Two A ABC, A'£'Cf, having «=«', (3 = f3', AB=A'B'. Proof.... | |
| William Benjamin Smith - Geometry, Modern - 1893 - 330 pages
...opposite to pairs of 48. Theorem XIV. — Two A having two angles and the included side of the one equal respectively to two angles and the included side of the other are congruent (Fig. 28). FIG. 28. Data : Two AB=A'B'. A ABC, A'B'C', having «=«', /3 = /5', Proof.... | |
| Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...Two triangles on the same sphere, or equal spheres, having two angles and the included side of one equal respectively to two angles and the included side of the other, are equal or symmetrical. Suo. See figure and suggestions of Prop. XXL Therefore PROPOSITION XXIII.... | |
| Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...equal or symmetrical. 30. If two spherical triangles have two angles and the included side of the one equal respectively to two angles and the included side of the other, the two triangles are equal or symmetrical. 31. The angles at the base of an isosceles spherical triangle... | |
| Henry W. Keigwin - Geometry - 1897 - 254 pages
...etc. QED PROPOSITION II. THEOREM. 45. If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the two triangles are equal. FlG. 23. Let ABC and DEF\>& two triangles in which angles B and C of the... | |
| Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...Two triangles on the. same sphere, or equal spheres, having two angles and the included side of one equal respectively to two angles and the included side of the other. (1) Can you prove the triangles equal? (2) Can you prove the triangles symmetrical ? Study the figures... | |
| George Albert Wentworth - Geometry - 1899 - 500 pages
...point to another). Take away B 0 from both sides. Then AB>AC-BC, Ax. 5 PROPOSITION XX. THEOREM. 139. Two triangles are equal if two angles and the included...to two angles and the included side of the other, c A In the triangles ABC, DEF, let the angle A be equal to the angle D, B to E, and the side AB to... | |
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