| 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 - 262 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, BCA, equal to the angles DEF, EFD, each to each, namely, ABC to DEF, and... | |
| Euclides - 1865 - 402 pages
...is 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., thc side AB to the side CD, and AC to BD, and the angle BAC to the angle BDC. And... | |
| Robert Potts - 1865 - 528 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... | |
| Queensland. Department of Public Instruction - Education - 1866
...opposite to the equal angles in each, they shall have the remaining sides equal to the remaining sides, **each to each, and the third angle of the one to the third angle of the other.** 3. If the square described upon one side of a triangle be equal to the squares described upon the other... | |
| Civil service - 1866
...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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...common to the two triangles, which is adjacent to their equal angles ; therefore their other sides are **equal, each to each, and the third angle of the one to the third angle of the other,** namely, the side AB equal to the side CD, and the side AC equal to the side BD, and the angle BAC equal... | |
| Robert Potts - 1868 - 410 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 BACto the angle BDC. And because... | |
| Edinburgh univ - 1868
...sides adjacent to the equal angles) ; 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.** 3. Equal triangles upon the same base, and upon the same side of it, are between the same parallels.... | |
| Robert Johnston (F.R.G.S.) - Civil service - 1870 - 178 pages
...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... | |
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