| John Playfair - 1842 - 332 sider
...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.... | |
| Euclid - 1845 - 218 sider
...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. EUCLID 8 ELEMENTS. viz. ABC to DEF, and BCA to EFD ; also one side equal to one side : and first, let... | |
| Euclides - 1845 - 546 sider
...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, James Thomson - 1845 - 382 sider
...of that which has the greater base, is greater than the angle contained by the sides equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two DE, DF, each to each ; but the base BC greater than the base EF :... | |
| Euclides - 1846 - 292 sider
...angles in each, is common to both — therefore the other gides are equal (1. 26), each to each, and the third angle of the one to the third angle of the other ; that is, CK is equal to CL, and the angle FKC to the angle FLC : And because CK is equal to CL, KL... | |
| Euclid, John Playfair - 1846 - 334 sider
...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 sider
...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 sider
...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... | |
| John Playfair - 1849 - 332 sider
...equal angles in each ; then shall the other side be equal, each to each ; and also the third angle nf 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. ABC to DEF, and BCA to EFD, also one side equal to one side... | |
| Euclid, Thomas Tate - 1849 - 120 sider
...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 (i. 26.), viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC :... | |
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