 | Euclid - Geometry - 1890 - 442 pages
...finally, area ABC = area XYZ. Proposition 4. THEOREM — If two triangles have two sides and the included angle of the one, respectively equal to two sides and the included angle of the other, then the triangles are identically equal, and of the angles those are equal which are... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...figure, sector, similar polygons. 2 Prove that if two triangles have two sides and the included angle of one respectively equal to two sides and the included...angle of the other, the two triangles are equal in all their parts. 3 Prove that a line parallel to the base of a triangle divides the other sides proportionally.... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...in all respects. Ax. 12. Therefore, if two triangles have two sides and the included angle of one, equal to two sides and the included angle of the other, the two triangles are equal in all respects. PROPOSITION V. THEOREM . 63. // two triangles have two angles and the included side of one, equal to... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...work the statements to be proved depend. Theorem 1. If two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other, the triangles are congruent. JC' B Given To prove Proof. 1. the A ABC, A'B'C' such that AB=A'B', AC = A'C',... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...statements to be proved depend. TRIANGLES. Theorem 1. If two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other. the triangles are congruent. B A' Given To prove Proof. 1. the A ABC, A'B'C' such that AB=A'B', AC = A'C',... | |
 | Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...sides Homologous Sides. PRINCIPLE 24. — If two triangles have two sides and the included angle of one respectively equal to two sides and the included angle of the other, the triangles are equal in all their parts. E 120. AB and DE are each 8 centimeters ; AC and DF are each... | |
 | Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...spherical triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the two triangles are equal or symmetrical. 27. If two convex spherical triangles have two sides of the one equal respectively... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...44. If two triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the two triangles are equal. X / " \ a i- .*"\ Fra. 81. FiG. 23. Let the two triangles ABC and DEF have the sides AB, AC oi the... | |
 | International Correspondence Schools - Surveying - 1898 - 518 pages
...= j^. SURVEYING. GEOMETRY. 118O. If two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other, the triangles are ( equal in all their parts. Thus, in the two triangles ABC and DEF, Fig. 236, if the... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...by the two points. PROPOSITION I. 62. Theorem. If two triangles ha.ve two sides and the in' f eluded angle of the one respectively equal to two sides and the included angle of the other, the triangles are congruent. 'TT ^ Given A' B' the A ABC, A'B'C' such that c = c', b = b', and To prove... | |
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If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects. 
