| John Mason Good - 1813 - 722 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 - 528 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 - 294 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 - 317 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 - 740 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 - 372 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... | |
| John Playfair - Circle-squaring - 1826 - 320 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 - 513 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 - 333 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... | |
| |