 | Mathematics - 1836 - 488 pages
...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. XXVJI. If a straight line falling upon two other straight lines makes the alternate angles equal to... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...angles, common to the two triangles ^herefore their other sides are equal, each to each, and the b 20. I. third angle of the one to the third angle of the other b, viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC. And because... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...opposite to the equal angles in each ; then shall the other side be equal, each to each ; and also the third angle of the one to the third angle of 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'... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...opposite to the equal angles in each : then shall the other sides be equal, A, each to each; and also the third angle of the one to the third angle of the other. Steps of the Demonstration to Case 1st. Suppose that AB ^ DK, and that a part of AB, as BG = DE, Then... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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, James Thomson - Geometry - 1837 - 410 pages
...contained by those sides unequal : the base of that which has the greater angle is greater than the base 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 angle BAC greater than EDF; the base... | |
 | Robert Simson - Geometry - 1838 - 434 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...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 AD angles... | |
 | Euclides - 1838 - 264 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 ยป.. , angle of the other,* viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC: and because... | |
 | Euclides - Geometry - 1841 - 378 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,* viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC: and because... | |
 | Euclides - 1842 - 316 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 (26. 1.), 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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... 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. 
