| Euclides - 1853 - 146 pages
...equal to them of the other; the base of that which has the greater angle shall be greater than the base **of the other. Let ABC, DEF, be two triangles which have the** two sides AB, AC, equal to the two DE, DF, each to each, viz. AB equal to DE, and AC to DP ; but the... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...equal to them of the other; the base of that which has the greater angle shall be greater than the base **of the other. Let ABC, DEF be two triangles, which have the** two sides AB, AC, equal to the two DE, DF, each to each, viz., AB equal to DE, and AC to DF ; but the... | |
| Popular educator - 1854 - 1274 pages
...DEF, and B c A to BF D. Also, let a side of tbe one triangle be equal to a side of the other. No. 1 . **First, let those sides be equal which are adjacent...angles that are equal in the two triangles ; viz.,** B c equal to E F. Then their other sides are eqnal, each to each ; viz., A a to DK, and A c to i) F... | |
| Euclides - 1855 - 262 pages
...equal to them, of the other ; the base of that which has the greater angle is greater than the base **of the other. Let ABC, DEF be two triangles, which have the** two sides AB, AC, equal to the two sides DE, DF, each to each; viz., AB equal toDE, and AC to DF. But... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...the two triangles will be equal, the other sides will be equal, each to each, and the third angle of **the one to the third angle of the other. Let ABC, DEF be two triangles** having the angle B equal to E, the angle C equal to F, and the included sides BC, EF equal to each... | |
| Euclides - 1860 - 288 pages
...which have the angles ABC and BCA of the one equal to the angles DEF and EFD of the other — namely, **ABC to DEF, and BCA to EFD ; also one side equal to...to the angles that are equal in the two triangles** — namely, BC to EF; to prove that the other sides shall be equal, each to each — namely, AB to... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...third sides be equal in each triangle, as also the remaining angles of the one to the remaining angles **of the other. ! Let ABC, DEF be two triangles which have the** sides AB, AC equal to the two sides DE, DF, each to each, and the angle ABC equal to the angle DEF... | |
| Euclides - 1863 - 122 pages
...greater than the other. Let AB be the greater of the two. Make BG equal (I. 3) to DE, aud join GC. **First, let those sides be equal which are adjacent...angles that are equal in the two triangles, viz.,** BCto EF. Then their other sides are equal, each to each, viz., AB to DE, and AC to DF; and the third... | |
| Euclides - 1864 - 448 pages
...them ; then shall the other sides be equal, each to each, and also the third angle of the one equal **to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC,** BC A, equal to the angles DEF, EFD, each to each, namely, ABC to DEF, and B CA to EFD ; also one side... | |
| Euclides - 1864 - 262 pages
...third sides be equal in each triangle, as also the remaining angles of the one to the remaining angles **of the other. Let ABC, DEF be two triangles which have the** sides AB, AC equal to the two sides DE, DF, each to each, and the angle ABC equal to the angle DEF:... | |
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