 | John Mason Good - 1819 - 800 pages
...angles equal to one another; and the exterior angle equal to the interior and opposite upon the »ame side : and likewise the two interior angles upon the same side together equal to two right angles. Prop. XXX. Theor. Straight lines which are parallel to ihc same straight line, are parallel to one... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...side ; and likewise the to'o interior angles upon the same side together equal to two right angle?. Let the straight line EF fall upon the parallel straight lines AB, €D ; the alternate angles AGH, GHD are equal to one another ; and the exterior angle EGB is equal... | |
 | William Nicholson - Natural history - 1821 - 406 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 CD, and E Fcut them in the points HG, then the angle AHG equals the... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 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. ELEMENTS Or XUCL1D. i 77 Let the straight... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 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 are parallel to one another. Let the straight line EF, whieh falls upon the... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...the exterior angle equal to the interior and opposite upon the same s1de 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... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...equal to one another, or the exterior angle equal to the interior and opposite upon the same side, or the two interior angles upon the same side together equal to two right angles, those two straight lines are parallel • . • cor. 13 (f) And conversely, if a straight line falls... | |
 | John Playfair - Euclid's Elements - 1832 - 358 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...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... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another. Let the straight line EF fall upon the •? parallel straight lines AB, CD ; the alter- ^ - ^& - B nate angles GHC, HGB are equal to one £~ - j^r - 5 another. ^F For, if the angle... | |
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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... 
