 | Euclid, Robert Simson - 1821 - 514 Seiten
...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... | |
 | Peter Nicholson - 1825 - 1046 Seiten
...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... | |
 | Euclid, John Playfair - 1826 - 326 Seiten
...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...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... | |
 | Robert Simson - 1827 - 546 Seiten
...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... | |
 | John Radford Young - 1827 - 228 Seiten
...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... | |
 | John Playfair - 1829 - 210 Seiten
...parallel. A straight line intersecting two parallel straight lines makes the alternate angles equal, and the exterior angle equal to the interior and opposite angle on the same side of the cutting line, and the sum of the two interior angles on the same side equal to two right angles.... | |
 | Pierce Morton - 1830 - 584 Seiten
...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 - 1833 - 168 Seiten
...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... | |
 | John Playfair - 1833 - 346 Seiten
...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... | |
 | Robert Simson - 1835 - 544 Seiten
...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... | |
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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... 
