 | Robert Simson - Trigonometry - 1806 - 546 pages
...the interior and position. opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD; the alternate angles, AGH, GHD are equal to one another;... | |
 | Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...in each of these three cases, the triangle ABC admits of a perfect adaptation with DEF. PROP. XXV. THEOR. If a straight line fall upon two parallel straight...CD; the alternate angles AGF and DFG are equal, the exterior angle EFC is equal to the interior angle EGA, and the interior angles CFG and AGF are together... | |
 | Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...a perfect adaptation with DEF. PROP. XXV. THEOR. If a straight line fall upon two parallel straigl lines, it will make the alternate angles equal, the...one, and the two interior angles on the same side to* gether equal to two right angles. iffht Let the straight line EFG fall upon the parallels AB and... | |
 | Sir John Leslie - Geometry - 1811 - 524 pages
...each of these three cases, the triangle ABC admits of a perfect adaptation with DEF *. PROP. XXIII. THEOR. If a straight line fall upon two parallel straight...CD; the alternate angles AGF and DFG are equal, the exterior angle EFC is equal to the interior angle EG'A, and the interior angles CFG and AGF, or FGB... | |
 | John Mason Good - 1813 - 714 pages
...together equal to two right angles; the two straight lines shall be parallel to one another. Prop. XXIX. Theor. 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... | |
 | Dugald Stewart - Psychology - 1814 - 560 pages
...asserted, for example, that " if one straight line falls on two'other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never meet;"—is not the boundless immensity... | |
 | Dugald Stewart - Logic - 1814 - 582 pages
...asserted, for example, that ** if " one straight line falls on two other straight lines, so as to make " the two interior angles on the same side together equal to two " right angles, these two straight lines, though indefinitely pro" duced, will never meet;"—is not the boundless... | |
 | Euclides - 1814 - 560 pages
...the inte- »ti'm. rior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD; the alternate angles AGH, GH D, are equal to one another... | |
 | John Mason Good - 1819 - 800 pages
...together equal to two rirhc angles ; the two straight lines shall be parallefto one another. Prop. XXIX. Theor. 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... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...alternate angles ; therefore AB is parallel to CD. Wherefore, if a straight line, &c. Q, ED PROP. XXIX. THEOR. 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... | |
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THEOR. If a straight line fall upon two parallel straight lines, it will make the alternate 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... 
