 | Euclid - Geometry - 1810 - 554 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 otherh, viz. the b 26. 1. side AB to the side CD, and AC to BD, and the angle BAC equal to the angle... | |
 | John Mason Good - 1813 - 714 pages
...sides opposite to equal angles in each j then shall the other sides he equal, each to eacli ; and also the third angle of the one to the third angle of the other. Prop. XXVII. Theor. If a straight line falling upon two other strniirht lines makes the alternat«... | |
 | Euclides - 1816 - 588 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 b, viz. the side AB to the side CD, and b2f. 1. AC to BD, and the angle BAC equal to the angle BDC... | |
 | John Playfair - 1819 - 354 pages
...which is adjacent to these equal angles, common to the two triangles ; therefoifc their other sides are equal, each to each, and the third angle of the one to the third angle fif the other (26. 1^, viz. the side AB to the side CD, and AC to BD, and the angle BAC equal to the... | |
 | John Playfair - Circle-squaring - 1819 - 350 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. A Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 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. I .) viz. the side (26 1 .) AB to the side CD, and AC to BD, ¿nd the angle ВАС equal to the... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...two triangles, which is adjacent to their equal angles; therefore their other sides are equal, eacl1 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... | |
 | John Playfair - Euclid's Elements - 1832 - 358 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. And... | |
 | William Sullivan - Ethics - 1833 - 380 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. But to prove that such equality exists, a process of reasoning must be gone through. To make out that... | |
 | Euclid - 1835 - 540 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. Let ABC,DEF be two triangles which have theangles ABC, BC A equal to the angles DEF, EFD, viz. ABC... | |
| |
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. 
