 | Euclides - 1874 - 342 pages
...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 sha/.l be parallel to one another. Let the straight line EF, which falls upon... | |
 | Benjamin Greenleaf - Geometry - 1875 - 204 pages
...alternate angles equal; also any exterior angle equal to the interior and opposite angle.; and the tiro interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD; the alternate angles AGH, GHD are equal; the exterior angle... | |
 | 1876 - 400 pages
...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...the same side together equal to two right angles. AB is parallel to CD, AD is bisected in E ; show that any other straight line drawn through E to meet... | |
 | Henry Major - 1876 - 784 pages
...opened by Her Majesty in person." Explain this statement fully as to an advanced class of children. likewise the two interior angles upon the same side together equal to two right angles. 2. It two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...0. ED PROPOSITION XXIX. THEOREM. 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, and also the alternate angles equal to one another, and alao the exterior angle equal to the interior... | |
 | 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... | |
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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... 
