| Franklin Ibach - Geometry - 1882 - 208 pages
...GEOMETRY. EQUALITY OF TRIANGLES. THEOREM XXIV. 83. Two triangles are equal in all their parts if tivo **sides and the included angle of the one are respectively equal to two sides and the included angle** of the other. In the As ABC and DEF, let AB =DE, AC = DF, and Z. a = Z. b . А в DE To prove that... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...GEOMETRY. EQUALITY OF TRIANGLES. THEOREM XXIV. 83. Two triangles are equal in all their parts if two rides **and the included angle of the one are respectively equal to two sides and the included angle** of the other. In the As ABC and DEF, let AB =J)E, AC — DF, and Z. a = Z. b . ABDE To prove that A... | |
| William Chauvenet - Geometry - 1887 - 331 pages
...other. Suggestion. Prove EOH = FOH. PROPOSITION VI.—THEOREM. 20. Two triangles are equal when two **sides and the included angle of the one are respectively equal to two sides and the included angle** of the other. In the triangles ABO, DEF, let AB be equal to DE, BCto EF, and the included angle B equal... | |
| Nathan Fellowes Dupuis - Geometry - 1889 - 370 pages
...TRIANGLES. 52°. Theorem. — Two triangles are congruent when two sides and the included angle in **the one are respectively equal to two sides and the included angle** in the other. IfAB = A'B'l the triangles BC = B'C'fare congruand L&=L&' } ent. Proof.— Place AABC... | |
| George Albert Wentworth - Geometry - 1892 - 468 pages
...Two triangles on the same sphere, or equal spheres, are equal or equivalent, if two sides and tfie **included angle of the one are respectively equal to two sides and the included angle** of the otlier. I. In the triangles ABC and DEF let angle A equal angle D, and the sides AB and AC equal... | |
| William Chauvenet - 1893 - 340 pages
...other, the opposite (or vertical) angles are equal. PROPOSITION VI. Two triangles are equal when two **sides and the included angle of the one are respectively equal to two sides and the included angle** of the other. PROPOSITION VII. Two triangles are equal when a side and the two adjacent angles of the... | |
| Nathan Fellowes Dupuis - Geometry - 1894 - 313 pages
...TRIANGLES. 52°. Theorem. — Two triangles are congruent when two sides and the included angle in **the one are respectively equal to two sides and the included angle** in the other. If AB=-A'B°I the triangles /^B /^' BC = B'C' j" are congruand zB = /iB' J ent. Proof.—... | |
| John Macnie - Geometry - 1895 - 392 pages
...vertices they pass is equilateral. PROPOSITION XXXIX. THEOREM. 143. Two parallelograms are equal if two **sides and the included angle of the one are respectively equal to two sides and the included angle** of the other. A' Given: In parallelograms AC and A'C', AB equal to A'B', AD equal to A'D', and angle... | |
| George Albert Wentworth - Geometry - 1896 - 50 pages
...equivalent. 749. Two triangles on the same sphere, or equal spheres, are equal or equivalent, if two **sides and the included angle of the one are respectively equal to two sides and the included angle** of the other. 750. Two triangles on the same sphere, or equal spheres, are equal or equivalent, if... | |
| George Washington Hull - Geometry - 1897 - 408 pages
...PROPOSITION XII. THEOREM. 600. Two spherical triangles on the same sphere are equal or equivalent when two **sides and the included angle of the one are respectively equal to two sides and the included angle** of the other. I. Given— ABC and DEF two spherical triangles, on the same sphere, having AB = DE,... | |
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