 ... if a straight line, &c. QED PROPOSITION 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ;...  Elements of Geometry: With Notes - Page 165by John Radford Young - 1827 - 208 pagesFull view - About this book
 | Great Britain. Education Department. Department of Science and Art - 1882 - 510 pages
...nearer to A than it is to B. (14.) 9. If a straight line falling on two other straight lines makes the interior angles on the same side together equal to two right angles, the two straight lines are parallel to each other. If A, B, C, D are the angular points of a quadrilateral... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...another, and the exterior angle equal to the interior and opposite angle on the game side; and also the two interior angles on the same side together equal to two right angles. on the same side, GHD, and the two interior angles OL the same side, BGH, GHD, shall be together equal... | |
 | Euclides - 1884 - 214 pages
...another, and the exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles. GIVEN that AB and CD are parallel, and that EF cuts AB at G and CD at H ; IT is REQUIRED TO PROVE that... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...the exterior angle equal to the interior and opposite (or remote) angle on the same side ; and also the two interior angles on the same side together equal to two right angles. 2. If two parallel lines are cut by a third straight line, the alternate interior angles are equal.... | |
 | Stewart W. and co - 1884 - 272 pages
...angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles, Let the straight line EF fall upon the parallel straight lines AB, CD; the alternate angles AGH, GHD, are equal to one another... | |
 | Euclides - 1884 - 182 pages
...nearer to A than it is to B, (14) 9. If a straight line falling on two other straight lines makes the interior angles on the same side together equal to two right angles, the two straight lines are parallel to each other. If A, B, C, D are the angular points of a quadrilateral... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...two other straight lines, (1) so as to make the exterior-interior angles equal, or (2) so as to make the two interior angles on the same side together equal to two right angles, then the two straight lines are parallel. xE (1) Hyp. Let the st. line EF cut the two st. lines AB,... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...exterior angle equal to the interior and opposite angle on the same side of the line, or makes the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel. Let the st. line EF falling on the two st. lines AB, CD make... | |
 | Euclid - Geometry - 1890 - 442 pages
...each exterior angle equal to the interior and opposite angle on the same side ; (y) either pair of interior angles on the same side together equal to two right angles. B Let the st. line XY cross the 1| lines AB, CD at S, R respectively. ~CR\ D \Y (a) Take a pair of... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...equal, and the exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right angles. 30. Straight lines which are parallel to the same straight line are parallel to one another. 31. To... | |
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