 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...equal, § 74.) .-. A ACE Si A FBE. (Two triangles which have two sides and the included angle of the one equal respectively to two sides and the included angle of the other are congruent, § 32.) .-. ZC= Z FBE. (Being angles opposite equal sides in congruent triangles, § 29.) But Z DBC... | |
 | William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...adjoining angles of one equal respectively to a side and the two adjoining angles of the other. sas, having two sides and the included angle of one equal respectively to two sides and the included angle of the other. sss, having three sides of one equal respectively to three sides of the other. rt. A,... | |
 | William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...adjoining angles of one equal respectively to a side and the two adjoining angles of the other. sas, having two sides and the included angle of one equal respectively to two sides and the included angle of the other. sss, having three sides of one equal respectively to three sides of the other. rt. A,... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 272 pages
...the triangle. Finish the demonstration. Method of Indicating Equal Parts. The figures below represent triangles having two sides and the included angle...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... | |
 | Henry Parker Manning - Geometry - 1914 - 375 pages
...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... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 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...two sides and the included angle of the other. Are these two triangles equal? The following statement expresses the result of this experiment: 23. //... | |
 | Mathematics - 1915 - 830 pages
...paper, colored 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...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... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...true ? Answer the same question for the conclusion. PROPOSITION I. THEOREM 63. 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 congruent. ABDE Hypothesis. In A ABC and A DEF: Conclusion. A ABC ^... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...triangles equal? The following statement expresses the result of this experiment: 23. // 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. EXERCISES 1. In AABC, the side AB equals the side CB, and BD... | |
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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. 
