| Cambridge univ, exam. papers - 1856 - 200 pages
...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 - 248 pages
...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 - 380 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 - 714 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 - 172 pages
...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 - 122 pages
...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 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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