 | 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
...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... | |
 | Daniel Cresswell - Geometry - 1816 - 352 pages
...the other, namely, the sides adjacent to the equal angles, the other sides of the two triangles shall be equal, each to each, and the third angle of the one, equal to the third angle of the other. The proposition may be deduced from Art. 97. by means of Art.... | |
 | 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
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...opposite to the equal angles in eaeh ; then shall the other sides be equal, eaeh to eaeh ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two A. D triangles whieh have the angles ABC, BCA equal tolheanglesDEF,EFD, viz. ABC to DEF, and BCA to... | |
 | 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 - Geometry - 1829 - 210 pages
...each other; then will the other two sides be equal, each to each, and the third angle of one triangle to the third, angle of the other. Let ABC, DEF be two triangles which have the angles B, C equal to the angles E, F, each to each, and the side UC equal to EF; then... | |
 | 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... | |
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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. 
