| Robert Simson - Trigonometry - 1835 - 513 pages
...to CD. Wherefore, " if a straight line," &c. QED PROP. XXIX. THEOR. Sec the If a straight line fall **upon two parallel straight ""„. lines, it makes...; 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... | |
| Mathematics - 1835
...angles, those two straight lines are parallel . . . cor. 13 (e) 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... | |
| Euclid - 1835 - 513 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 ;... | |
| Mathematics - 1836 - 472 pages
...two right angles ; the two straight lines are parallel to one another. XXIX. If a straight line fall **upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** angle upon the same side ; and likewise the two interior angles upon the same side together equal to... | |
| Euclides - Euclid's Elements - 1837 - 88 pages
...3. and :. that AB |] CD. PROPOSITION XXIX. (Argument ad absurdum). Theorem. If a straight line fall **upon two parallel straight lines, it makes the alternate...the interior and opposite upon the same side; and** the two interior angles upon the same side together equal to two right angles. Steps of the Demonstration.... | |
| Euclid, James Thomson - Geometry - 1837 - 390 pages
...one another ; (2.) the exterior angle equal to the interior and remote upon the same side ; and (3.) **the two interior angles upon the same side together equal to two right angles,** t Let the straight lines AB, CD be parallel, and let EF fall upon them ; then (1.) the alternate angles... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...to CD. PROPOSITION XXVIII. THEOREM. 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 - Geometry - 1837 - 318 pages
...parallel to CD. 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 ;... | |
| Euclides - 1838
...nevertheless very ingenious and conclusive, see NOTES at the end. PROP. XXIX. THEOR. If a straight line fall **upon two parallel straight lines, it makes the alternate...angle equal to the interior and opposite upon the** tame side ; and likewise the two interior angles upon the same side together equal to two right angles.... | |
| Euclides - Geometry - 1841 - 351 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 make the interior angles upon the same side together equal to two right angles; the... | |
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