| John Mason Good - 1813 - 722 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 - 528 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 - 294 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 - 317 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 - Euclid's Elements - 1819 - 333 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 - 372 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... | |
| John Playfair - Circle-squaring - 1826 - 320 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 - 513 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 - 186 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 - 333 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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