 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1923 - 414 pages
...this with Theorem I. 37. Theorem II. If two triangles have two angles and the included side of the one equal, respectively, to two angles and the included side of the other, the triangles are congruent. c c' *BA^~ — FIG. 45 In the figure, let ABC and A'B'C' be the two triangles, and let us suppose that... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...Two Angles and Included Side 252. Theorem. If two triangles on the same sphere or on equal spheres have two angles and the included side of one equal respectively to the corresponding parts of the other, the triangles are either congruent or symmetric. Given ABC and... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...side BE is common to the two triangles, they are equal, having two angles and the included side of the one equal, respectively, to two angles and the included side of the other. (See 63, 94.) QED Proposition XXXVI. Theorem 105. The opposite sides of a parallelogram are equal,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...PROPOSITION II. THEOREM 66. Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other (asa = asa). BC B' C' Given &ABC and A'B'C' with AB = A'B', /.A = Z A', and AABC ^ AA'B'C'. To prove... | |
 | Nels Johann Lennes - Mathematics - 1926 - 240 pages
...corresponding problems. These theorems are: // in two triangles, two angles and the included side of one are equal, respectively, to two angles and the included side of the other, the triangles are equal in all respects. and // in two triangles, two sides and the included angle of one are equal,... | |
 | Charles Henry Schumann - Geometry, Descriptive - 1927 - 264 pages
...included angle of the other. (b) Two triangles are equal when two angles and the included side of one are equal respectively to two angles and the included side of the other. (c) Two triangles are equal when three sides of one are equal respectively to three sides of the other.... | |
 | Nels Johann Lennes, Archibald Shepard Merrill - Logarithms - 1928 - 300 pages
...two sides and the included angle of the other; or if (2) Two angles and the included side of one are equal, respectively, to two angles and the included side of the other; or if (3) Three sides of one are equal respectively to the three sides of the other. These theorems... | |
 | Haym Kruglak, John Moore, Ramon Mata-Toledo - Mathematics - 1998 - 508 pages
...A' B' BC = tí C LB = ¿B' therefore, ÒABC *e LA'SC. 2. Two angles and the included side of one are equal respectively to two angles and the included side of the other. In Fig. 1 1-12, ¿A = ¿A', LC = ¿C, AC = A'C; thus, &ABC * ÒA'B'C. 3. The three sides of one are... | |
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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. 
