 | Robert Potts - Geometry - 1876 - 446 pages
...straight lines shall be parallel. 4. If a straight line fall upon two parallel straight lines, it makes the two interior angles upon the. same side together equal to two right angles. 5. Assuming Proposition XXXII, deduce the corollary : " all the exterior angles of any rectilineal... | |
 | Edward Atkins - 1876 - 130 pages
...make the exterior angle equal to the interior and opposite upon the same side of the line, or make the interior angles upon the same side together equal to two right angles, the two straight lines cliall be parallel to one another. Let the straight line EF, which falls upon... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...exterior angle equal to the interior and remote on the same side ; and the two interior an-- gles on the same side together equal to two right angles. Let the straight line EF intersect the yE two parallel lines AB, CD; the alternate \ .1, angles AGH, GHD are equal to each oth-... | |
 | Edward Atkins - 1877 - 72 pages
...tlie exterior angle equal to the interior and opposite upon thr, same side of the line, or make the interior angles upon the same side together equal to two right angles, tlie two Straight lines shall be parallel to one another. Let the straight line EF, which falls upon... | |
 | Moffatt and Paige - 1879 - 474 pages
...another, and the exterior angle equal to the interior and opposite angle upon the same side, and also the two interior angles upon the same side together...straight line EF fall upon the parallel straight lines AB,CD. Then, the alternate angles AGH, GHD shall be equal to one another, the exterior angle EGB shall... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...equal to one another, and the exterior angle equal to the interior and opposite angle upon the same side, and likewise the two interior angles upon the same side together equal to two right angles. Same proposition. In the triangle ABC, AD bisecting the angle BAC meets EC in D, and DE, DF parallel... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...exterior angle equal to the opposite interior angle on the same side. 3. The two interior angles on the same side together equal to two right angles. Let the straight line EF fall on the two parallel lines AB, CD. 1. The alternate angles B A GH, GHD will be equal to each other.... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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. Let the straight line EF fall on the two parallel straight lines AB, CD : the alternate angles AGH, GHD shall be equal to one another,... | |
 | Elizabethan club - 1880 - 156 pages
...angles shall be equal to one another. equal to the interior and opposite upon the same side, and also the two interior angles upon the same side together equal to two right angles. If two intersecting straight lines be parallel or perpendicular to two other intersecting straight... | |
 | William Stanley Jevons - Philosophy - 1880 - 370 pages
...proposition related to this other : — If a straight line fall upon two parallel straight lines, it makes the two interior angles upon the same side together equal to two right angles ? [R.] 30. From 'Some members of Parliament are all the ministers' (Elementary Lessons, p. 325, No.... | |
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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; and likewise the two interior angles upon the same side together... 
