| John Playfair - Euclid's Elements - 1842 - 332 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** (26. 1.) ; viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC.... | |
| Euclid - Geometry - 1845 - 218 pages
...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 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 BAC to the angle BDC. And... | |
| Euclides, James Thomson - Geometry - 1845 - 382 pages
...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 pages
...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... | |
| John Playfair - Euclid's Elements - 1846 - 332 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** (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
...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... | |
| John Playfair - Euclid's Elements - 1849 - 332 pages
...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 pages
...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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