| 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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