 | Elias Loomis - 1858 - 256 pagine
...other, each to each, 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 - 1858 - 248 pagine
...in each, or the sides opposite to them, then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. CONSTRUCTION. — P. 3. From the greater of two lines to cut off a part equal to the less. Pst. 1.... | |
 | Robert Potts - 1860 - 380 pagine
...equal angles, common to the two triangles; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BA C to the angle BD C. And... | |
 | Euclides - 1862 - 140 pagine
...angles in each, is common to both triangles. 4. Therefore the other sides are equal, each to each, and the third angle of the one to the third angle of the other; namely, AB equal to CD, AC to BD, and the angle BAG to the angle CDB. (1.26.) 5. And because the angle... | |
 | Euclides - 1863 - 122 pagine
...the sides opposite to equal anales in eacb; then their other sides are ,.qual, each to each, and also the third angle of the one to the third angle of the other. For, if AB be not equal to DE one of them must be greater than the other. Let AB be the greater of... | |
 | Euclides - 1863 - 74 pagine
...in each, or the sides opposite to them, then shall the othei sides be equal, each to each, and also the third angle of the one to the third angle of the other. CON.— P. 3, P»t. 1.— DEM.— P. 4, Ax I, P. 16. E. 1 Hyp. 1. In As ABC, DBF, let £_ ABC = /.... | |
 | Euclides - 1864 - 448 pagine
...equal angles, common to ~" the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side ABto the side CD, and AC to BD, and the angle BA C to the angle BD C. And... | |
 | Henry White - 1864 - 156 pagine
...side adjacent to the equal angles in each; then shall the other sides be equal, each to each, and also the third angle of the one to the third angle of the other. 2. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have... | |
 | Euclides - 1864 - 262 pagine
...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:... | |
 | Robert Potts - 1865 - 528 pagine
...equal angles, common to the two triangles ; therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i. 26.) namely, the side AB to the side CD, and AC to BD, and the angle BA C to the angle BD C. And... | |
| |
... be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, ECA equal to the angles DEF, EFD, viz. 
