 | John Mason Good - 1813 - 714 pages
...or the 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
...; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each ; then shall the...angle of the one to the third angle of the other: Let A BC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC... | |
 | Daniel Cresswell - Geometry - 1816 - 352 pages
...be, together, unequal to two quadrants, then, the remaining sides shall be equal, each to each ; and the third angle of the one, to the third angle of the other. Let^JJC, EFG\>e two spherical triangles, having the angle A equal to E, the angle C equal to G, and... | |
 | John Playfair - 1819 - 354 pages
...equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to the equal angles in each ; then shall the other sides...angle of the one to the third angle of the other. Let ABC, DEF be two 'triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC... | |
 | John Mason Good - 1819 - 800 pages
...sides opposite to equal angles in each ; then shall the other tides be equal, each to each; und al>o the third angle of the one to the third angle of the other. I'rop. XXVII. Thcor. If a straight line f.iljnj?; upon two other straight line« makes the altérnale... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each ; then shall the...angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...the sides 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite to equal angles in each; then shall the other...angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, each to... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...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
...equal to one side, viz. either of the sides adjacent to the equal angles, or the sides opposite to the equal angles in each; then shall the other sides be...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... | |
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... 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. 
