 | William Sullivan - 1833 - 380 σελίδες
...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. But to prove that such equality exists, a process of reasoning must be gone through. To make out that... | |
 | Euclid - 1835 - 540 σελίδες
...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. Let ABC,DEF be two triangles which have theangles ABC, BC A equal to the angles DEF, EFD, viz. ABC to DEF,... | |
 | Robert Simson - 1835 - 544 σελίδες
...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. Let ABC,DEFbe two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC to DEF,... | |
 | 1836 - 488 σελίδες
...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 - 1836 - 488 σελίδες
...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 - 1837 - 332 σελίδες
...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.... | |
 | Andrew Bell - 1837 - 290 σελίδες
...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... | |
 | Euclides - 1837 - 112 σελίδες
...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 - 1838 - 434 σελίδες
...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 σελίδες
...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... | |
| |
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. 
