 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...  Parliamentary Papers - Page 21by Great Britain. Parliament. House of Commons - 1852Full view - About this book
 | John Playfair - Mathematics - 1806 - 320 pages
...and K. Therefore, if two straight lines, &c. QED PROP. III. 29. 1. Euclid. If a straight line fall on two parallel straight lines it makes the alternate angles equal to each other, the exterior equal to the interior and opposite on the same side, and the two interior angles on the... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...straight line, &c. QED PROP. XXVIII. THEOR. 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 ;... | |
 | William Nicholson - Natural history - 1809 - 684 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 lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite augle on the same side ; and... | |
 | William Nicholson - 1809 - 716 pages
...straight line may be drawn parallel to that straight line, or that straight lice produced. M. Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate angle« equal to one another ; and the exterior angle equal to the interior and opposite angle on the... | |
 | John Mason Good - 1813 - 714 pages
...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 upon the same side; and likewise... | |
 | Euclides - 1816 - 588 pages
...line, &c. QED PROP. XXVIII. THEOR. 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 ; the... | |
 | John Playfair - Circle-squaring - 1819 - 350 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 alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise... | |
 | John Playfair - 1819 - 354 pages
...line, &,c. QED PROP. XXVIII. THEOR. 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 teo right angles ;... | |
 | John Mason Good - 1819 - 800 pages
...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 »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
...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 lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite angle on the same side ; and... | |
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