| Adrien Marie Legendre, Thomas Carlyle - Mathematics - 1828 - 367 pages
...therefore it would meet BD. ft ' THEOREM. 64. If two parallel straight lines are met by a third line, **the sum of the interior angles on the same side of the** secant line will be equal to two right angles. Let the parallels AB, CD, be met by the secant lineEF,... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...impossible (Prop. XIV.). PROPOSITION XIX. THEOREM. If two straight lines meet a third line, making **the sum of the interior angles on the same side of the** Km met, equal to twe right angles, the two lines will be parallel. > . Let the two lines EC, BD, meet... | |
| 1845
...(Prop. XVII. Cor. 1.) PPOPOSITION XXII. THEOREM. If a rinftt line meet two other right lines, making **the sum of the interior angles on the same side of the** first mentioned line equal to two riyht angles, the two lines will be parallel. Let the line AB meet... | |
| Charles Davies, Sir David Brewster, Adrien Marie Legendre - Trigonometry - 1849 - 359 pages
...impossible (Prop. XIV.). PROPOSITION XIX. THEOREM. If two straight lines meet a third line, making **the sum of the interior angles on the same side of the** line met, equal to two right angles, the two lines will be parallel. the third line BA, making the... | |
| Education - 1866
...Take Prop. XIX., Book I, of Davies' Legendre : — If two straight lines meet a third liue, making **the sum of the interior angles on the same side of the** line met, equal to two right angles, the two lines will be parallel. Through the middle of the secant... | |
| Edward Olney - Geometry - 1872 - 239 pages
...125. F1e. 126. ~/X E/ PROPOSITION IT. 150. Theorem. — If two parallel lines are cut by a third line, **the sum of the interior angles on the same side of the** secant line in equal to two right angles. DEM. — Let the parallels AB and CD be ont by EF, then is... | |
| Edward Olney - Geometry - 1872 - 327 pages
...126. c I / A /KIB t PROPOSITION IV. 15O, Theorem.—If two parallel lines are cut by a third line, **the sum of the interior angles on the same side of the** secant line is equal to two right angles. DEM.—Let the parallels AB and CD he cut by EF, then is... | |
| Aaron Schuyler - Geometry - 1876 - 372 pages
...taken above. 45. Proposition XII.— Theorem. If a straight line intersect two parallel straight lines, **the sum of the interior angles on the same side of the** secant is equal to two right angles. Let EF intersect the parallels AB and E CD. The line through G... | |
| Franklin Ibach - Geometry - 1882 - 196 pages
...third line — I. The corresponding angles are equal; II. The alternate interior angles are equal; III. **The sum of the interior angles on the same side of the** secant equals two right angles. Let the IIs AB and CD be cut by the line EF. E Q fA D 0 d/P IJ F I.... | |
| Webster Wells - Geometry - 1886 - 371 pages
...= h and b = g. II. Any angle is equal to its corresponding angle ; that is, a = e, b = /, etc. III. **The sum of the interior angles on the same side of the** secant line is equal to two right angles ; that is, c + e = 180°, andd+/=180°. PROPOSITION XIII.... | |
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