 | 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 - 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 - 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 - 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... | |
 | Henry White - 1864 - 156 pages
...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 - 336 pages
...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... | |
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BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26. 
