 | Euclides - 1848 - 52 Seiten
...parallel to one another. PROP. XXIX. THEOREM. If a straight line fall upon two parallel straight lines, 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... | |
 | Euclid, Thomas Tate - 1849 - 120 Seiten
...straight line, &c. QED PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, 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 egual to two right... | |
 | Elias Loomis - 1849 - 252 Seiten
...equal to each other; also, any exterior angle equal to the interior and opposite on the same side; and the two interior angles on the same side together...equal to two right angles. Let the straight line EF intersect the two parallel lines AB, CD; the alternate angles AGH, GHD are gle EGB is equal to the... | |
 | Euclides - 1852 - 152 Seiten
...parallel to CD. BOOK I. PEOP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, 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 right... | |
 | Euclides - 1852 - 48 Seiten
...AB and c D are parallel. WWD PBOP. XXIX. TKEOE. If a right line fall upon two parallel right lines, it makes the alternate angles equal to one another, and the exterior angle equal to the interior opposite angle at the same side ; and also the ttoo interior angles at the same side, equal to two... | |
 | Euclides - 1853 - 146 Seiten
...straight line, &c. QED PROP. XXIX. THEOREM. If a straight line fall upon two parallel straight lines, if makes the alternate angles equal to one another; and...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 right... | |
 | Royal Military Academy, Woolwich - 1853 - 400 Seiten
...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 right angles. Let the straight line EF fall upon the parallel straight lines AB, CD ; the alternate angles AGH, GIII), are E equal to one another... | |
 | Euclides - 1853 - 334 Seiten
...this straight line bisects FD at right angles : therefore <JR, DF, which are cut by this line, make the two interior angles on the same side together equal to two right angles, and are therefore parallel (i. 28). Hence QDFR is a parallelogram (Def. A) ; and it may be shewn as... | |
 | Popular educator - 1852 - 1272 Seiten
...point without it. 6. If a straight line fall upon two parallel straight lines, show that it will make 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 equal to two... | |
 | Dugald Stewart - 1854 - 454 Seiten
...asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never meet ; " is not the boundless immensity... | |
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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... 
