 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 74by William James Milne - 1899 - 242 pagesFull view - About this book
 | George Washington Hull - Geometry - 1807 - 408 pages
...alternate-interior angles are equal. ®. The exterior-interior angles are equal. 3. The sum of the interior angles on the same side of the transversal is equal to two riglit angles. UG HN Given — AB and CD parallel and cut by EF. To Prove, 1st — Z c = Z 6. Dem.... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...other, tht. vertical angles must be equal. THEOREM V. If a straight line intersects two parallel lines, the sum of the two interior angles on the same side of the intersecting line is equal to two right angles. [NOTE. — By interior angles, we mean angles which... | |
 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...alternate angles. 2nd. Of the exterior alternate angles. 3rd. Of the corresponding angles. 7. Prove that the sum of the two interior angles on the same side of the transversal is equal to two right-angles. 8. Prove that two angles are equal when their sides are parallel and directed the same... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...alternate angles. 2nd. Of the exterior alternate angles. 3rd. Of the corresponding angles. 7. Prove that the sum of the two interior angles on the same side of the transversal is equal to two right-angles. 8. Prove that two angles are equal when their sides are parallel and directed the same... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...corresponding angle. Thus, since HGB = GHC and GHC =FHD, there follows H GB = FHD; etc. 52. Corollary III. The sum of the two interior angles on the same side of the secant line is equal to two right angles. For, GHD -(HGB = GHD + GHC = two right angles (11). 53. Scholium.... | |
 | André Darré - 1872 - 226 pages
...equal straight lines can be drawn to the circumference. 5. When a secant meets two straight lines, if the sum of the two interior angles on the same side of the secant is equal to two right angles, the lines are parallel. 6. To draw a line from a given point outside... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...corresponding angle. Thus, since HGB = GHC and GHC =FHD, there follows HGB = FHD; etc. 52. Corollary III. The sum of the two interior angles on the same side of the secant line is equal to two right angles. For, GHD -fHGB = GHD + GHC = two right angles (11). 53. Scholium.... | |
 | Edward Olney - 1872 - 270 pages
...data aiidthe conclusions or things proved are exchanged. Thus, in PROP. III., the hypothesis is, that The sum of the two interior angles on the same side of the secant line is equal to two right angles ; and the conclusion is, that The two lines are parallel.... | |
 | George Albert Wentworth - Geometry - 1877 - 436 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. E B D Let AB and С D be two parallel lines cut by the straight... | |
 | Edward Olney - Geometry - 1877 - 272 pages
...Now, in PROP. IV., the hypothesis is, that The two lines are parallel; and the conclusion is, that The sum of the two interior angles on the same side of the secant line is two right angles.* [A. clear conception of this scholium will save the student from... | |
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