 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...sides and the included angle of the other, each to each, they are equal in all their parts. PROP. II. If two triangles have two angles and the included side of the one equal to two angles and the included side of the other, each to each, they are equal in all their parts.... | |
 | Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...parts. Conclusion : / 2 3 and 4 5 6 being any two triangles, etc. PROPOSITION II. 183. Theorem : // two triangles have two angles and the included side of the one equal to two angles and the included side of the other, each to each, they are equal in all their parts.... | |
 | William Benjamin Smith - Geometry, Modern - 1892 - 314 pages
...Corollary 2. Pairs of equal parts lie opposite to pairs of equal parts. 48. Theorem XIV. — Two A having two angles and the included side of the one equal...respectively to two angles and the included side of the other are congruent (Fig. 28). FIG. 28. Data: Two A ABC, A'£'Cf, having «=«', (3 = f3', AB=A'B'. Proof.... | |
 | William Benjamin Smith - Geometry, Modern - 1892 - 170 pages
...Corollary 2. Pairs of equal parts lie opposite to pairs of equal parts. 48. Theorem XIV. — Two A having two angles and the included side of the one equal...respectively to two angles and the included side of the other are congruent (Fig. 28). TA ~B\ I* B\ FIG. 28. Data: Two A ABC, A'B'C', having «=«', /?=/3', TH.... | |
 | William Benjamin Smith - Geometry, Modern - 1892 - 160 pages
...of equal parts lie opposite to pairs of Corollary 2. equal parts. 48. Theorem XIV. — Two A having two angles and the included side of the one equal respectively to tn>o angles and the included side of the other are congruent (Fig. 28). /A FIG. 28. Data: Two A ABC,... | |
 | William Benjamin Smith - Geometry, Modern - 1893 - 330 pages
...Corollary 2. equal parts. Pairs of equal parts lie opposite to pairs of 48. Theorem XIV. — Two A having two angles and the included side of the one equal...respectively to two angles and the included side of the other are congruent (Fig. 28). FIG. 28. Data : Two AB=A'B'. A ABC, A'B'C', having «=«', /3 = /5', Proof.... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...will receive 10 credits. 1 Define and illustrate tangent, sector, rhombus, plane angle. 2 Prove that if two triangles have two angles and the included side of the one equal to two angles and the included side of the other, each to each, the triangles are equal in all their... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...Theorem. Two triangles on the same sphere, or equal spheres, having two angles and the included side 0f one equal, respectively, to two angles and the included side of the other, are either equal or symmetrical. Suggestion. See figure and suggestions for § 669. Therefore — Ex.... | |
 | Ephraim Hunt - Geometry - 1894 - 118 pages
...BC, only at their intersection, C, the angles are equal. DF=AC, EF=BC. Why? Therefore, CASE II. When two triangles have two angles and the included side of the one equal to two angles and the included side of the other, each to each, the remaining parts will be equal,... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...lines A'B and B'A, laying off OA' = OA, and OB'^OB, and then measuring B'A'. PLANE GEOMETRY. Theorem 2. If two triangles have two angles and the included side of the one respectively equal to two angles and the included side of the other, the triangles are congruent. Given... | |
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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. 
