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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...
Report of Her Majesty's Civil Service Commissioners: Together with Appendices - Page 314
1858
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## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...would in this manner be freed from all difficulty. PROP. III. 29. 1. Euclid. If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another ; the exterior equal to the interior * Prop. 1 1. Sup. The reference to this proposition involves nothing...
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## American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 9

William Nicholson - Natural history - 1821 - 406 pages
...straight 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...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...
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## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...angles: therefore AB is parallel to CD. Wherefore,' if a straight line, &c. QED PROP. XXIX. THEOR. IF a straight line fall upon two parallel straight...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...
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## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...therefore AB is parallel to С D. Wherefore if a straight line, &c. OKD Proposition ХХГХ. Theorem, If a straight line fall upon two parallel straight...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...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 326 pages
...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...the same side together equal to two right angles.' Let the straight line EF fall upon the parallel straight lines ABi CD; the alternate angles AGH, GHD...
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## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...thts proposttton. * 15. 1. t 1 Ax. f2 Ax. * 13. 1. t 1 Ax. PROP. XXIX. THEOR. If a straight line Jail upon two parallel straight lines, it makes the alternate...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...
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## Elements of Geometry: With Notes

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...
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## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

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...
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## Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

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...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...angles ; therefore AB is parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alter' male angles equal to one another ; and the exterior angle equal to the interior and opposite...
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