| 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 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 - 1819 - 354 pages
...the two interior angles, on the same side equal to two right angles. Let the straight line EF fall on **the parallel straight lines AB, CD ; the alternate angles AGH, GHD are equal,** the exterior angle EGB is equal A to the interior and opposite GHD;, and the two interior' angles BGH,... | |
| 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
...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...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... | |
| Euclides - 1826 - 226 pages
...angles towards the same parts equal to two right angles. Let the right line EF fall upon the two right **lines AB, CD. The alternate angles AGH, GHD, are equal to one another,** the exterior angle EGB towards the same parts, equal to the interior and opposite angle GHD. And the... | |
| Euclid - 1826 - 234 pages
...angles towards the same parts equal to two right angles. Let the right line EF fall upon the two right **lines AB, CD. The alternate angles AGH, GHD, are equal to one another,** the exterior angle EGB towards the same parts, equal to the interior and opposite angle GHD. And the... | |
| 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... | |
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