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Books Books 1 - 10 of 69 on If two lines are cut by a third, and the sum of the interior angles on the same side....  
" 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. "
Lectures on Fundamental Concepts of Algebra and Geometry - Page 11
by John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - 1911 - 247 pages
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Elements of geometry and trigonometry: with notes

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,...
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Elements of Geometry and Trigonometry

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...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 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...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

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...
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The Massachusetts Teacher, Volume 19

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...
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A Treatise on Special, Or Elementary Geometry

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...
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A Treatise on Special Or Elementary Geometry

Edward Olney - Geometry - 1872 - 201 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...
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Elements of Geometry: With Exercises for Students and an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 364 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...
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Elements of Plane Geometry

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....
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The Elements of Geometry

Webster Wells - Geometry, Plane - 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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