 | John Mason Good - 1819 - 800 pages
...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,...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.... | |
 | William Nicholson - Natural history - 1821 - 406 pages
...line may be drawn parallel to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight lines,...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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...8tc. QED Proposition XXriII. Theorem. If a straight line falling upon two other straight lines makes 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 ¡... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 pages
...a point between G and K, therefore, &c. PROPOSITION n. ,(29. I. Euclid.) If a straight line fall on two parallel straight lines it makes, the alternate angles equal to one another ; the exterior eqttal to the interior and opposite on the same side ; and likewise the two interior... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...straight line, &c. QED PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines make 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... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...those two straight lines are parallel • . • cor. 13 (f) And conversely, if a straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite upon the same side, and the two interior angles... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...interior angles &c. Which was to be demonstrated. PROPOSITION XXIX. THEOREM. — If a 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... | |
 | Euclides - 1834 - 518 pages
...parallel t to CD. Wherefore, if a straight line, &c. v- ''• D. PROPOSITION XXIX. THEOR. — If a straight line fall upon two parallel straight lines,...and opposite upon the same side ; and likewise the Iwo interior angles upon the same side together equal to two right angles. .'. it. CD : the alternate... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...therefore AB is parallel to CD. Wherefore, " if a straight line," &c. QED PROP. XXIX. THEOR. Sec the If a straight line fall upon two parallel straight ""„....; and the exterior angle equal to the interior and opi>osite upon the same side ; and likewise the two interior angles upon the same side together equal... | |
 | Mathematics - 1835 - 684 pages
...angles, those two straight lines are parallel . . . cor. 13 (e) And conversely, if a straight line falls upon two parallel straight lines, it makes the alternate angles equal to one another, the exterior angle equal to the interior and opposite upon the same side, and the two interior angles... | |
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Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. s«e N. Ij'a straight line fall upon two parallel straight lines, it makes the alternate angles equal... 
