| George Roberts Perkins - Geometry - 1847 - 308 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 - 1889 - 63 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 - 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,... | |
| Thomas J. Foster - Coal mines and mining - 1891 - 415 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 - 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 - 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 - 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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