 | 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... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 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 ot the other (I, 26) ; namely, the side AB to the side CD, and AC to BD, and the angle BAG equal to... | |
 | John Playfair - Euclid's Elements - 1837 - 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 BAG equal to the angle BDC.... | |
 | 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... | |
 | Robert Simson - Geometry - 1838 - 434 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, (26. 1.) viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the angle BDC; and... | |
 | Euclides - 1838 - 264 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,* 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
...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 - 316 pages
...side вc 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.... | |
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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, (26. 
