| Elias Loomis - 1858 - 234 sider
...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
...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 - 361 sider
...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
...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
...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
...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
...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
...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
...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 - 1865
...sides opposite to equal angles in each ; then the other sides shall be equal, each to each, and also **the third angle of the one to the third angle of the other.** Prop. 27. If a straight line falling upon two other straight lines, make the alternate angles equal... | |
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