 | Euclides - Geometry - 1853 - 334 pages
...angles BGH, GHC are equal. Which was to be proved. II. Any one of the exterior angles, EGB, shall be equal to the interior and opposite angle on the same side of EF, viz. GHD. The angle EGB is equal to the angle AGH, since they are opposite vertical angles (i.... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...Definition of parallel lines (12). COR. 1. Produce FE to any point G ; if the exterior angle, as / BEG, be equal to the interior and opposite angle on the same side of the intersecting line, as / EFD; then also AB shall be parallel to CD. For / BEG = / AEF (31), .-. / AEF... | |
 | War office - 1858 - 578 pages
...line fall upon two parallel straight lines, it makes the alternate angles equal to each other, and the exterior angle equal to the interior and opposite angle on the same side, and likewise the two interior angles on the same side together equal to two right angles. 3. If a straight... | |
 | Euclides - 1858 - 248 pages
...Hyp. 7 D. 3. 8 Ax. 12, n. 9 Concl. B D PROP. 28.— THEOR. If a st. line falling upon two other st. lines makes the exterior angle equal to the interior and opposite angle upon the same side of the line ; or makes the interior angles upon the same side together equal to... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...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 angle on the same side; and likewise the two interior angles on the same side together equal to two right angles. VOLUNTARY... | |
 | War office - 1861 - 714 pages
...altogether \ EUCLID. 1. Define parallel straight lines ; If a straight line falling upon two other straight lines makes the 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 of the line equal together to two right angles ; the... | |
 | War office - 1861 - 260 pages
...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 angle on the same side, and likewise the two interior angles upon the same side together equal to two right angles. 2. Draw... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...straight line fall on two parallel straight lines, it makes the alternate angles equal to one 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. 3. Describe... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...straight line fall on two parallel straight lines, it makes the alternate angles equal to one 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. Let the straight... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...straight line fall on two parallel straight Una, it makes the alternate angles equal to one 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. Let the straight... | |
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If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one 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... 
