| Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 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 - 234 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 - 300 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... | |
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