| Cambridge univ, exam. papers - 1856
...sides opposite to 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.** 6. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite... | |
| 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 - Geometry, Plane - 1860 - 361 pages
...which is. adjacent to their 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 - 1860 - 288 pages
...each ; then shall the other sides be equal, each to each ; and the triangles shall be equal ; and also **the third angle of the one to the third angle of the other.** Or, if two angles and a side in one triangle be respectively CE equal to two angles and a corresponding... | |
| War office - 1861 - 12 pages
...and the side adjacent to the equal aii'/les in each triangle also equal, then shall the other sides **be equal, each to each, and the third angle of the one** equal to the third angle of the other. 2. In an obtuse angled triangle, if a perpendicular be let fall... | |
| Euclides - 1862
...adjacent to their equal angles, is common to the two triangles ; therefore their other sides shall **be equal, each to each, and the third angle of the one to the third angle of the other** (i. 26)— viz., the side AB to the side CD, and AC to BD, and the angle BAC to the angle BDC. And... | |
| Euclides - 1862 - 140 pages
...adjacent to the equal 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 - 72 pages
...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 pages
...is adjacent to their 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... | |
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