 Two triangles are congruent if two angles and the included side of one triangle are equal, respectively, to two angles and the included side of the other.  General Mathematics - Page 78by Raleigh Schorling, William David Reeve - 1922Full view - About this book
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...second. THEOREM XII. 711. Two spherical triangles having two angles and the included side of the one equal respectively to two angles and the included side of the other, are either congruent or symmetrical. For the first triangle can be moved in the sphere into coincidence... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...second THEOREM XII. 711. Two spherical triangles having two angles and the included side of the one equal respectively to two angles and the included side of the other, are either congruent or symmetrical. For the first triangle can be moved in the sphere into coincidence... | |
 | 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 - 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 - 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 - 498 pages
...PROPOSITION XX. THEOREM. 139. Two triangles are equal if two angles and the included side of the one are equal, respectively, to two angles and the included side of the other, c F ABDE In the triangles ABC, DBF, let the angle A be equal to the angle D, B to E, and the side AB... | |
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