 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
 | 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 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... | |
 | 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 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... | |
 | Thomas Keith - Navigation - 1826 - 504 pages
...intersect each other, the vertical or opposite angles will be equal. , (O) If a stright line intersect two parallel straight lines it makes the alternate...exterior angle equal to the interior and opposite on the same side of the line. (P) All angles in the same segment of a circle are equal to each other.... | |
 | 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 angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side .• and... | |
 | John Playfair - Geometry - 1829 - 210 pages
...wherefore AB is parallel to CD. ED. E B C F D PROPOSITION XXIX. THEOREM. If a straight line intersect two parallel straight lines it makes the alternate...exterior angle equal to the interior and opposite angle on the same side of it; and likewise the two interior angles on the same side together equal... | |
 | 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... | |
 | 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... | |
 | 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-... | |
 | Euclides - 1834 - 518 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 same side ; and likewise the Iwo interior angles upon the same side together equal to two right angles. .'. it. CD : the alternate... | |
 | Euclid - 1835 - 540 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 fine ; or makes the interior angles upon the same side together equal to two right angles ;... | |
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