| 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... | |
| Euclid - Geometry - 1845 - 218 pages
...side 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 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 - 1845 - 546 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... | |
| 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... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 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... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...side 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 (i. 26.), viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC :... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...the included side of the other, each to each, the two triangles will be equal, the other sides will be equal, each to each, and the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles having the angle B equal to E, the angle C equal to F, and the included... | |
| Euclides - 1852 - 152 pages
...side 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 " xxvi. i. to the third angle of the other b , viz. the side AB to the side CD, and AC to BD, (2.)... | |
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