 | Euclides - 1842 - 316 σελίδες
...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 - 1842 - 938 σελίδες
...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 σελίδες
...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 - 1842 - 332 σελίδες
...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 - 1845 - 218 σελίδες
...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 - 546 σελίδες
...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 - 1846 - 128 σελίδες
...' / 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...the same side together equal to two right angles. Let the str. line EF fall on the || str. lines AB, CD, then alt. L AGH = alt. Z. GHD, ext. / _ EGB... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...— < 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 σελίδες
...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 - 1846 - 650 σελίδες
...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... | |
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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... 
