 | Adrien Marie Legendre - Geometry - 1828 - 346 pages
...refer to the second Note. THEOREM. •<; 0 _ €0. 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. Let the two lines AC and BD meet... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 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... | |
 | Nathan Scholfield - 1845 - 894 pages
...(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 - Trigonometry - 1849 - 372 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 - 684 pages
...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 - 1872 - 270 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... | |
 | Edward Olney - Geometry - 1872 - 472 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... | |
 | Aaron Schuyler - Geometry - 1876 - 384 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 - 208 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 - 392 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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If two straight lines in a plane meet another straight line in the plane so that the sum of the interior angles on the same side of the latter straight line is less than two right angles... 
