 | Robert Simson - Trigonometry - 1806 - 546 pages
...the exterior angle equal to the interior and opposite upon the same side of the line ; or makes 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 E falls... | |
 | William Nicholson - 1809 - 716 pages
...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. If AB, (fig. 5) be parallel to С D, and EF cut them in the points HG, then the angle AHG equals the... | |
 | William Nicholson - Natural history - 1809 - 684 pages
...equal to one another ; and the exterior angle equal to the interior and opposite augle on the same side ; and likewise, the two interior angles upon...the same side, together, equal to two right angles. If AB, (fig. 5) be parallel to CD, and £ F cut them in the points HG, then the angle AHG equals the... | |
 | Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...angles equal, the' exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD; the alternate angles AGF and DFG are equal, the exterior angle... | |
 | Euclid - Geometry - 1810 - 554 pages
...one ano- "huprop ther; and the exterior angle equal to the interior andsitioiv opposite upon the same side; and likewise the two interior angles upon the same side together equal to two/right angles. V Let the straight line EF fall upon the parallel straight lines AB, CD; the alternate... | |
 | John Mason Good - 1813 - 714 pages
...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 equal to two right ansies. Prop. XXX. Theor. Straight lines which are parallel to the same straight line are paiallel... | |
 | Euclides - 1814 - 560 pages
...oneJ^""" 0 , another; and the exterior angle equal to the inte- »ti'm. rior and opposite upon the same side ; and likewise the two interior angles upon the...parallel straight lines AB, CD; the alternate angles AGH, GH D, are equal to one another ; and the exterior angle EGB is equal to the interior and opposite,... | |
 | Euclides - 1816 - 588 pages
...the exterior angle equal to the interior and opposite upon the same side of the line; or makes 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... | |
 | Sir John Leslie - Geometry - 1817 - 456 pages
...angles equal, the exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD ; the alternate angles AGF and DFG are equal, the exterior angle... | |
 | John Playfair - 1819 - 354 pages
...and the exterior angle equal to the interior and opposite upon the same side ; and likewise the too interior angles upon the same side together equal...straight lines AB, CD ; the alternate angles AGH, GHD are equal to one another ; and the exterior angle EGB is equal to the interior and opposite, upon the... | |
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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... 
