If two triangles have 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. Solid Geometry - Page 97by Mabel Sykes, Clarence Elmer Comstock - 1922 - 218 pagesFull view - About this book
| William E. Bell - Bridge building - 1857 - 250 pages
...the two triangles EFH and EFG arc equal, (Prop. IX.), having two angles and the included side of the one equal to two angles and the included side of the other ; and HF, opposite the angle FEH, is equal to EG, opposite to its equal angle EFG. (Prop. IX., Cor.)... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...sides and the included angle of the other, each to each ; or two angles and the included side of the one, equal to two angles and the included side of the other PROPOSITION XVI. THEOREM. In an isosceles spherical triangle, the angles opposite the equal sides are... | |
| William E. Bell - Bridges - 1859 - 226 pages
...the two triangles EFH and EFG are equal, (Prop. 1X.), having two angles and the included side of the one equal to two angles and the included side of the other ; and HF, opposite the angle FEH, is equal to EG, opposite to its equal angle EFG. (Prop. IX., Cor.)... | |
| Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...Hence, if two triangles, etc. THEOREM XL Tf iwo 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 throughout. Let ABC, DEF, be two triangles having the angles A and B respectively... | |
| Bernhard Marks - Geometry - 1869 - 170 pages
...DEMONSTRATION. We wish to 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 two triangles are equal to each other in all respects. Let the triangles abc and... | |
| Isaac Stone - Educational tests and measurements - 1869 - 278 pages
...parallelogram mntually bisect each other. 212. Any two triangles having two angles and the included side of the one equal to two angles and the included side of the other, each to each, arc equal. 213. A triangle is equivalent to half a parallelogram of equal base and altitude.... | |
| Isaac Stone - Educational tests and measurements - 1869 - 272 pages
...parallelogram mutually bisect each other. 212. Any two triangles having two angles and the included side of the one equal to two angles and the included side of the other, each to each, are equal. 213. A triangle is equivalent to half a parallelogram of equal base and altitude.... | |
| Bernard Marks - Geometry - 1871 - 172 pages
...DEMONSTRATION. We wish to prove that, //' tiro 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 are equal to each other in all respects. Let the triangles abc and... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...triangles, &c. PEOPOSIT1ON VII. THEOREM. If two triangles have two angles, and the included side of tf,i one, equal to two angles and the included side of the other, each to each, the two triangles will be equal, the other sides will be equal, each to each, and the... | |
| Charles Davies - Geometry - 1872 - 464 pages
...be proved. PROPOSITION VI. THEOREM. If two tria11gles 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 mill be equal in all their parts. In the triangles ABC and DEF, let the... | |
| |