 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 two triangles will be equal.  Plane and Solid Geometry - Page 61by Seth Thayer Stewart - 1891 - 406 pagesFull view - About this book
 | George Cunningham Edwards - Geometry - 1895 - 330 pages
...forming the angle, the A PAF and PAB will be congruent, having two angles and the included side of one equal to two angles and the included side of the other. Hence PF=PB. QED THEOREM. The distances of any point, not on the angle bisector, from the angle lines... | |
 | Henry Dallas Thompson - Geometry, Solid - 1896 - 226 pages
...respectively to the three angles of the other, they are either equal or symmetrical. 30. If two spherical triangles have two angles and the included side of the one equal respectively to two angles and the included side of the other, the two triangles are equal or symmetrical.... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...determined when two sides and the included angle are given. PLANE GEOMETRY. [BK. I. PROPOSITION II. 63. Theorem. 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. b... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...stated, A triangle is determined when two sides and the included angle are given. PROPOSITION II. 63. Theorem. If two triangles have two angles and the included side of thi' one respectively equal to two angles and the included side of the other, the triangles are congruent.... | |
 | International Correspondence Schools - Mining engineering - 1900 - 728 pages
...sides and the included angle of the other, they are equal in all their parts. 6. If two triangleshave two angles, and the included side of the one equal to two angles and the included side of the other, they are equal in all their parts. 7. In any triangle, the greater side is opposite the greater angle,... | |
 | George Clinton Shutts - 1905 - 260 pages
...Ax. 13. QED PROPOSITION VIII. 83. Theorem. // two triangles have two angles and the included side of one, equal to two angles and the included side of the other, each to each, the triangles are equal in all respects. c E Let ABC and DBF represent two triangles, having BC equal... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...angle of the first equal to two sides and the included angle of the second, they are congruent. 2. If two triangles have two angles and the included side of the first equal to two angles and the included side of the second, they are congruent. 3. If two triangles... | |
 | Wilbur Fisk Nichols - 1905 - 208 pages
...Place one upon the other. 12. Draw two triangles that shall have two angles and the included side of one equal to two angles and the included side of the other. 13. Prove that these triangles are equal. 14. Make a triangle, ABC. Prolong AB and OB, making BE equal... | |
 | Thomas J. Foster - Coal mines and mining - 1916 - 1230 pages
...the one equal to two sides and the included angle of the other, they are equal in all their parts. 6. If two triangles have two angles, and the included...to two angles and the included side of the other, they are equal in all their parts, 7. In any triangle, the greater side is opposite the greater angle,... | |
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