 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...that the parallelogram is a rectangle. Ex. 106. Given two parallel lines and a transversal. If each of the two interior angles on the same side of the transversal is bisected, prove that the bisectors arcperpendicular to each other. PROPOSITION VII. 181. Theorem. CONVERSE... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...and hence AB with CZ>? Why ? Therefore Ex. 96. Draw two parallel lines and a transversal. Bisect each of the two interior angles on the same side of the transversal, and prove that the bisectors are perpendicular to each other. THE CIRCLE. PROPOSITION VIII. THEOREM.... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...triangle, trapezoid, similar sectors. 2 Prove that 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- is equal to two right angles. 3 Two sides of a triangle are 6 feet and 7 feet respectively... | |
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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. 
