| Euclides - 1841 - 378 pages
...to the equal angles, or the sides opposite to the equal angles in each: 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. Let ABC, DEF be two triangles which have the angles ABC, BCA... | |
| Euclides - 1842 - 320 pages
...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. 1.), viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC:... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...which is adjacent to these 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** (26. 1.) ; viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC.... | |
| Chambers W. and R., ltd - 1842 - 744 pages
...sides opposite 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** ; or, if two angles and a side in one triangle be respectively equal to two angles and a corresponding... | |
| Euclides - 1845 - 544 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 BAC to the angle BDC. And... | |
| Euclid - Geometry - 1845 - 218 pages
...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** t 26. i. the other J, viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the... | |
| Euclides - 1846 - 292 pages
...two triangles, which is adjacent to their equal angles — therefore (1. 26) their other sides are **equal, each to each, and the third angle of the one to the third angle of the other** viz. the side AB to the side CD, and AC to BD, and the angle BAC to the angle BDC : Then because the... | |
| John Playfair - Euclid's Elements - 1846 - 332 pages
...is adjacent -to these 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** (26. 1.) ; vi2. the side AB to the side CD, and AC to BD, and the angle BAC equal te the angle BDC.... | |
| Euclides - 1847 - 128 pages
...adjacent to the equal angles, or the sides opposite to equal angles in each, then shall the other sides **be equal, each to each, and the third angle of the one to the third angle of the other.** PART. ENUN. — Let ABC, DEF be two As, which have the Zs ABC, BCA = Zs DEF, EFD, each to each ; viz.... | |
| Euclides - 1848 - 52 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.** PROP. XXVII. THEOREM. If a straight line falling upon two other straight lines make the alternate angles... | |
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