 | 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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If a straight line fall on two parallel straight lines, it makes the alternate angles equal to one another, and the 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... 
