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... The Elements of Geometry, Symbolically Arranged - Page 37by Great Britain. Admiralty - 1846Full view - About this book
| Euclides - 1842 - 320 pages
...alternate angles; therefore AB is parallel to CD. Wherefore if a straight line, &c. QED PEOP. 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... | |
| William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842
...right angles ; AB is parallel to CD. But the 29th proposition assumes the converse of this, namely, **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... | |
| Chambers W. and R., ltd - 1842 - 744 pages
...proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight hues, **it makes the alternate angles equal to one another...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 Playfair - Euclid's Elements - 1842 - 332 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... | |
| Euclid - Geometry - 1845 - 218 pages
...fore AB is parallelf to CD. Wherefore, if a straight line, &c. Q. i:. D. PROPOSITION 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... | |
| Euclides - 1845 - 544 pages
...AB is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. Jf **a straight line fall upon two parallel straight lines,...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... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 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...interior angles upon the same side together equal to two** riff fit angles. Let the str. line EF fall on the || str. lines AB, CD, then alt. ^AGH = alt.^GHD,... | |
| 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...exterior angle equal to the interior and opposite** upon the same side, and also the two interior angles upon the same side together equal to two right... | |
| 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 - 332 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... | |
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