| University of Calcutta - 1864 - 388 pages
...during the first rule of Lord Curnwallis. ARITHMETIC AND ALGEBRA. Examiner.—REV. KS MACDONALD, MA 1. **If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another.** Trisect, (1) a right angle, (2) one-fourth of a right angle. 2. The angles in the same segment of a... | |
| Alfred Challice Johnson - Plane trigonometry - 1865 - 166 pages
...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 he produced, the exterior angle is equal to the two interior... | |
| Euclides - 1865 - 402 pages
...The interior angles upon the same side together equal to two right angles ...... 2. And conversely, **if a straight line fall upon two parallel straight lines, it makes** — a. The alternate angles equal to one another . . .* A. The exterior angle equal to the interior... | |
| Aristotle - Fallacies (Logic) - 1866 - 274 pages
...result from various theses : for instance, parallels may be proved to meet both from the thesis that **if a straight line fall upon two parallel straight lines it makes the** exterior angle greater than the interior and opposite angle upon the same side10, and from the thesis... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...Wherefore, if a straight line &c. QED ' )i.! • PROPOSITION 29. THEOREM. If a straight line fall on **two parallel straight lines, it makes the alternate...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... | |
| 1867 - 224 pages
...the line and of the square on the line between the points of section. 6. If a straight line fall on **two parallel straight lines, it makes the alternate...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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight Una, **it makes the alternate angles equal to one another,...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... | |
| Robert Potts - 1868 - 434 pages
...BGH; therefore the remaining angle AGH is equal to the remaining angle GHD; (ax. 3.) PROPOSITION XXIX. **THEOREM. If a straight line fall upon two parallel...equal to one another ; and the exterior angle equal to** t/te interior and opposite upon the same side ; and likewise the two interior angles upon ihe same... | |
| Euclides - 1870 - 270 pages
...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 - Spherical trigonometry - 1871 - 178 pages
...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... | |
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