| Benjamin Greenleaf - Geometry - 1862 - 532 pages
...the alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and **the two interior angles upon the same side together...equal to two right angles. Let the straight line EF** intersect the parallel lines А В, С D ; the alternate angles AGH, GHD are equal ; the exterior angle... | |
| Benjamin Greenleaf - Geometry - 1861 - 638 pages
...the alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and **the two interior angles upon the same side together equal to two right angles. Let the straight line** EP inter- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHD V, _„_. L are equal... | |
| Euclides - 1862 - 140 pages
...one another, and the exterior angle 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.** (References— Prop. I. 13, 15; ax. 1, 2, 4, 12.) Hypothesis. — Let the straight line EF fall upon... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...the alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and **the two interior angles upon the same side together...equal to two right angles. Let the straight line EF** inter- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHBV —" L are equal ; the... | |
| Euclides - 1864 - 448 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 shall be parallel to one another. Let the straight line EF, which falls upon... | |
| Euclides - 1864 - 262 pages
...equal to the interior anil opposite upon the same side ; and likewise the two interior angles upon Vie **same side together equal to two right angles. Let the straight line** UFfall upon the parallel straight lines AB, CD. Then the alternate angles A GH, GHD shall be equal... | |
| Euclides - 1865 - 402 pages
...alternate angles equal to each other; and theexterior angle equal to the interior and opposite angle **upon the same side; and likewise the two interior...the same side together equal to two right angles.** (References — Prop. I. 13, 15; ax. I. 2, 4, 12.) Let the right line EF, fall on the parallel lines... | |
| J. F. H. de Rheims - Geometrical drawing - 1865 - 338 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.** Prop. 32. — Theorem. If one side of any triangle be produced, the exterior angle is equal to the... | |
| Robert Potts - 1865 - 528 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 shall be parallel to one another. Let the straight line EF, which falls upon... | |
| Benjamin Greenleaf - Geometry - 1866 - 328 pages
...alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the tivo **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... | |
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