| John Playfair - Circle-squaring - 1819 - 333 pages
...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...and opposite upon the same side ; and likewise the** to'o interior angles upon the same side together equal to two right angle?. Let the straight line EF... | |
| John Mason Good - 1819
...the two straight lines shall be parallefto one another. 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** »ame side : and likewise the two interior angles upon the same side together equal to two right angles.... | |
| John Playfair - 1819 - 317 pages
...would in this manner be freed from all difficulty. PROP. III. 29. 1. Euclid. If a straight line fall on **two parallel straight lines, it makes the alternate angles equal to one another** ; the exterior equal to the interior * Prop. 1 1. Sup. The reference to this proposition involves nothing... | |
| William Nicholson - Natural history - 1821
...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...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... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...8tc. QED Proposition XXriII. 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 ”... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 320 pages
...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 two straight lines are parallel to one another. Let the straight line EF, whieh falls upon the... | |
| John Radford Young - Euclid's Elements - 1827 - 208 pages
...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... | |
| Pierce Morton - Geometry - 1830 - 272 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 interior angles... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 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- ^ - ^& - B... | |
| Euclides - 1834
...Wherefore, if a straight line, &c. v- ''• D. PROPOSITION XXIX. THEOR. — If a straight line fall **upon two parallel straight lines, it makes the alternate...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... | |
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