 | Euclides - 1870 - 270 sider
...same st. line are parallel to each other. DEM. — P. 29. If a st. line fall upon two parallel st. lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the int. and opp. angle upon the same side ; and likewise the two int. angles upon the same side together... | |
 | Alfred Challice Johnson - 1871 - 178 sider
...greater side of every triangle is opposite to the greater angle and vice versa. (Eue. I., 18, 19.) 5. If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle be produced, the exterior angle is equal to the two interior... | |
 | Euclides - 1871 - 136 sider
...26. QED PROPOSITION 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... | |
 | Euclides, James Hamblin Smith - 1872 - 376 sider
...QEI). PROPOSITION 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 oj' the line, or make the interior angles upon the same side together equal to two right angles; the... | |
 | Henry Major - 1873 - 588 sider
...therefore is parallel to CD. XXVIII. — 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 sido together equal to two right angles ; the... | |
 | Edward Atkins - 1874 - 426 sider
...is parallel to CD (I. 27). Therefore, if a straight line, <fec. QE 2). Proposition 29. — Theorem. 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... | |
 | Euclides - 1874 - 120 sider
...parallel to one another. PROPOSITION 29. THEOREM. If a straight line fall on two parallel straif/ht lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite angle on the same side ; and also the two interior angles on the same side together equal to two right... | |
 | Edward Atkins - 1874 - 428 sider
...&c. QED Proposition 28. — Theorem. If a straight line falling upon two otlier straight lines make the exterior angle equal to the interior and opposite upon the same side of the line, or make t/ie interior angles upon the same side together equal to two right angles, the... | |
 | Euclides - 1874 - 342 sider
...&c. Q ED PROPOSITION 28.— 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... | |
 | Francis Cuthbertson - 1874 - 400 sider
...impossible.- (Lemma.) .-. L AFG is =. the alternate L FGD. Hence are easily deduced the following Theorems: If a straight line fall upon two parallel straight lines, it makes the exterior L. = the interior and opposite upon the same side. straight lines AB, CD; / Let HK fall upon... | |
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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... 
