 | Euclides - 1864 - 262 pages
...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:... | |
 | Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...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... | |
 | Robert Potts - 1865 - 528 pages
...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 - 1865 - 402 pages
...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... | |
 | John Playfair - Geometry - 1855 - 350 pages
...other side be equal, each to each ; and also tht third angle nf the one to the third angle of t/te other Let ABC, DEF be two triangles which have the...angles DEF, EFD, viz. ABC to DEF, and BCA to EFD, also one side equal to one side ; and first, let those sides be equal which are adjacent to the angles... | |
 | Civil service - 1866 - 270 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 - 434 pages
...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 - 336 pages
...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 - 196 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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... 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. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. 
