 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...and prove certain theorems regarding triangles. The pupil should first reread carefully § 22. 35. Theorem I. 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 triangles are congruent.... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...and prove certain theorems regarding triangles. The pupil should first reread carefully § 22. 35. Theorem I. 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 triangles are congruent.... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...corresponding portions that can be made to coincide. CHAPTER I RECTILINEAR FIGURES PART I. TRIANGLES 35. Theorem I. 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 triangles are congruent.... | |
 | Henry Parker Manning - Geometry - 1914 - 375 pages
...PNN' and M'Q'Q mutually equilateral, and ZM'Q'Q = Z.PNN'. Finally, now, the triangles PNQ and M'Q' N' have two sides and the included angle of one equal respectively to two sides and the included angle of the other, and ZM'N'Q' = Z.PQN. But the angle M'N'Q' is a right angle. Therefore PQN is a right... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...order. (§ 393) 146 407. THEOREM. If two spherical triangles on the same sphere or on equal spheres have two sides and the included angle of one equal respectively to two sides and the included angle of the other, they are congruent or symmetrical according as the parts given equal are placed in the... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 306 pages
...Finish the demonstration. Method of Indicating Equal Parts. The figures below represent triangles having two sides and the included angle of one, equal respectively to two sides and the included angle of the other. FIG. 1. The equal angles are shown by the same number, one being primed. The equal sides... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...they be proved to be true ? Answer the same question for the conclusion. PROPOSITION I. THEOREM 63. If two triangles have two sides and the included angle...included angle of the other, the triangles are congruent. ABDE Hypothesis. In A ABC and A DEF: Conclusion. A ABC ^ A DEF. Proof. 1. Place A ABC on A DEF with... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...these two triangles equal? The following statement expresses the result of this experiment: 23. // two triangles have two sides and the included angle...the included angle of the other, the triangles are equal. Proof of tliis statement may he found in § 247. The three fundamental tests for equality of... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...triangles equal? Place the triangle ABC on Fig. 3 so that AC coincides with DF. Triangles ABC and DEF have two sides and the included angle of one equal respectively to two sides and the included angle of the other. Are these two triangles equal? The following statement expresses the result of this experiment:... | |
 | Mathematics - 1915 - 830 pages
...crayons, a pair of scissors, a bottle of glue and a ball of twine. Let them construct two triangles having two sides and the included angle of one equal respectively to two sides and the included angle of the other, cut these out, fit them together and see for themselves that they will coincide in all... | |
| |
If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal. 
