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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...
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 100
by Euclides - 1858

## Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 740 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...

## American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 9

William Nicholson - Natural history - 1821 - 406 pages
...or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...Wherefore,' if a straight line, &c. QED PROP. XXIX. THEOR. IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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...

## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...straight line, &c. OKD Proposition ХХГХ. Theorem, If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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...

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

Euclid, John Playfair - Euclid's Elements - 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 angles upon the same side together equal to two right angles.' Let the straight line EF fall upon the parallel straight lines ABi CD; the alternate...

## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...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 angles equal to one...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...

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

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...

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

John Playfair - Euclid's Elements - 1833 - 333 pages
...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 upon the same side ; and likewise the two interior angles upon the same. side together equal to two...