 | Adrien Marie Legendre - Geometry - 1828 - 346 pages
...rigorous demonstration we 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
...straight line; which is 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
...impossible, (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
...straight line; which is 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... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...same straight line ; which is impossible (P. 14). PROPOSITION XIX, THEOEEM. If two straight lines meet a third line, making the sum of the interior angles on the same side equal to two right angles, the two' lines are parallel. Let the two lines KG, HD, meet the line BA,... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...other, and so also are the four obtuse angles. PROPOSITION XXI. THEOREM. If two straight lines meet a third line, making the sum of the interior angles on the same side less than two right angles, the two lines will meet if sufficiently produced. Let the two lines CD,... | |
 | Education - 1857 - 894 pages
...of the urne form u the 10th tolTed abore. 140 MATHEMATICAL THBOHESI 1. — If (too straight Una meet a third line, making the sum of the interior angles, on the same tide of the line met, equal to tea right angles, the t\co lines will be parallel. For the proof, see... | |
 | William E. Bell - Bridges - 1859 - 226 pages
...other, and so also are the four obtuse angles. Proposition XIII. Theorem. If two straight lines meet a third line, making the sum of the interior angles on the same, side equal to two right angles, the two lines will be parallel. Let the two lines AB, CD, meet the third... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...the lines, are sometimes called opposite exterior and interior angles. THEOREM XVH. If two straight lines are cut by a third line, making the sum of the two interior angles on the same side equal to two right angles, the two lines will be parallel. For... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...and so, also, are the four obtuse angles. PROPOSITION XXI. THEOREM. If two straight lines intersect a third line, making the sum of the interior angles on the same side less than two right angles, the tioo lines will meet if sufficiently produced. Let the two lines CD,... | |
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If two lines are cut by a third, and the sum of the interior angles on the same side of the cutting line is less than two right angles, the lines will meet on that side when sufficiently produced. 
