 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...  Chambers's Information for the People - Page 259edited by - 1842Full view - About this book
 | Euclides - 1846 - 292 pages
...angles ; therefore AB is parallel to CD. Wherefore, If a straight line itc . QEU PROP. XXIX. THEOR. If a straight line fall upon two parallel straight...the interior and opposite upon the same side, and also the two interior angles upon the same side together equal to two right angles. Let the straight... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...— < L AGH, which ABUCD^"- 8 ' t Wherefore, if a straight line, &c. PROP. XXVIIF. THEOR. 29. iKu. If a straight line fall upon two parallel straight...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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...' / PHD— I Z. AGH, which are**-3Wherefore, if a straight line, &c. PROP. XXVIII. THEOR. 29. iEu. If a straight line fall upon two parallel straight...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... | |
 | Perry Fairfax Nursey - Industrial arts - 1846 - 650 pages
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) if a straight line fall upon two parallel straight...makes the alternate angles equal to one another;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse СИ muet always... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...in this manner be freed from all difficulty. PROP. III. or 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 and opposite on the same side ; and likewise the two interior... | |
 | Euclides - 1847 - 128 pages
...is || to CD. (Prop. XXVII.) Wherefore, if a st. line, &c.— QED PROP. XXIX. THEOR. GEN. ENUN. — If a straight line fall upon two parallel straight...alternate angles equal to one another; and the exterior equal to the interior and opposite angle upon the same side ; and likewise the two interior angles... | |
 | 1846 - 648 pages
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another ;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse CB must always... | |
 | Euclides - 1848 - 52 pages
...be parallel. PROP. XXVIII. THEOREM. If a straight line falling upon two other straight lines, make 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... | |
 | Euclid, Thomas Tate - 1849 - 120 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; the... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...intersecting two other straight lines, makes the alternate angles equal to each other, or makes an exterior angle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. intersects the two straight lines AB, / Let the straight... | |
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