 | George Roberts Perkins - Geometry - 1847 - 326 pages
...done. PROPOSITION IV. THEOREM. If two triangles have two angles and the included side of the one equal to two angles and the included side of the other, the triangles will be identical, or equal in all respects. In the two triangles ABC, DFG, if the angle A is equal... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...(Hyp.), AB ANALYSIS. B is on .E" BAC= EDF C is on FBC=EF &ABC= &DEF ABG=DEF Proposition 8. Theorem.—If two triangles have two angles and the included side of one, equal to two angles and the included side of the other, each to each, the triangles will be equal in all... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...the 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
...the 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... | |
 | James Wallace MacDonald - Geometry - 1894 - 76 pages
...homologous parts are also equal, and the triangles are equal. Proposition XXVII. A Theorem. 64. If two triangles have two angles and the included side of one equal to two angles and the included side of the other, each to each, the other homologous parts are equal,... | |
 | James Wallace MacDonald - Geometry - 1889 - 80 pages
...homologous parts are also equal, and the triangles are equal. Proposition XXVII. A Theorem. 64. If two triangles have two angles and the included side of one equal to two angles and the included side of the other, each to each, the other homologous parts are equal,... | |
 | Thomas J. Foster - Coal mines and mining - 1891 - 444 pages
...one, equal to two sides and the included angle of the other, they are equal in all their parts. If two triangles have two angles and the included side of one equal to two angles and the included sides of the other, they are equal in all their parts. 6. In any triangle... | |
 | William Benjamin Smith - Geometry, Modern - 1892 - 170 pages
...to 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
...to 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
...lie 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.... | |
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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 triangles are congruent. 
