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" If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p. "
Plane Geometry - Page 74
by William James Milne - 1899 - 242 pages
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...PARALLEL LINES. PROPOSITION XV. THEOREM. 73. If two parallel lines be cut by a third straight line, the sum of the two interior angles on the same side of I lie secant line is equal to two right angles. B D Let AB and CD be two parallel lines cut by the...
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...is II to CD. QED PROPOSITION XV. THEOREM. 73. If two parallel lines be cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles. D F Let AB and С D be two parallel lines cut by the straight...
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Elements of Plane Geometry

Franklin Ibach - Geometry - 1882 - 208 pages
...— I. If the corresponding angles are equal; II. If the alternate interior angles are equal; III. If the sum of the two interior angles on the same side of the secant equals two right angles. Let the straight lines AB and CD be cut by EF. E л OÁ d/c -В -D...
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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...to each other. Cor. II. Any one of the eight angles is equal to its corresponding angle. Cor. III. The sum of the two interior angles on the same side of the secant line is equal to two right angles. 3. To divide a straight line into two parts, so that the...
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Journal of the Board of Education of the City of New York

New York (N.Y.). Board of Education - Education - 1885 - 990 pages
...of the intersecting line is equal to two right angles. If a line intersects two other lines, making the sum of the two interior angles on the same side of the intersecting line equal to two right angles, the two straight lines are parallel. The opposite sides,...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...corresponding angles are equal. Corollary II. If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles. PROPOSITION XXVI. The sum of the three angles of any triangle...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 346 pages
...corresponding angles are equal. Corollary II. If two parallel lines are cut by a third straight line, tho sum of the two interior angles on the same side of the secant line is equal to two right angles. PROPOSITION XXVI. The sum of the three angles of any triangle...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 272 pages
...II to CD. QED PROPOSITION XII. THEOREM. 109. If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles. -B Let AB and CD tie two parallel lines cut by the straight line EF in the points H and K. To prove...
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A Text-book of Geometry

George Albert Wentworth - Geometry, Analytic - 1889 - 264 pages
...to CD. QE o. PROPOSITION XII. THEOREM. 109. If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is eqaal to two right angles. ALet AS and CD be two parallel lines cut by the straight line EF in the...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...corresponding angles are equal. 49. COROLLARY II. If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles. EXERCISE. Theorem.—A line perpendicular to one of two parallel...
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