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... The Elements of Geometry, Symbolically Arranged - Side 37av Great Britain. Admiralty - 1846Uten tilgangsbegrensning - Om denne boken
| Euclides - 1863
...the 27th, and the 2Sth.) If a line fall upon two parallel st. lines, it mahes the alternate angle* **equal to one another ; and the exterior angle equal to the interior and opposite angle** upon the same side ; and lihewise the two interior angles upon the same •tide together equal to two... | |
| Euclides - 1864
...AB is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. // **a straight line fall upon two parallel straight lines,...exterior angle equal to the interior and opposite** upon the same side ; and lihewise the two interior angles upon the same side together equal to two... | |
| Euclides - 1864
...therefore AB is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QHD PROPOSITION XXIX. THEOREM. **If a straight line fall upon two parallel straight...another ; and the exterior angle equal to the interior** anil opposite upon the same side ; and likewise the two interior angles upon Vie same side together... | |
| University of Calcutta - 1864
...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... | |
| J. F. H. de Rheims - 1865 - 169 sider
...straight lines cut one another, the vortical or opposite angles shall be equal. Prop. 29. — Theorem. **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... | |
| Alfred Challice Johnson - 1865 - 150 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 he produced, the exterior angle is equal to the two interior... | |
| Euclides - 1865
...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 - 1866 - 252 sider
...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... | |
| 1867
...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...interior and opposite angle on the same side ; and** also the two interior angles on the same side together equal to two right angles. 7. In any right-angled... | |
| Euclid, Isaac Todhunter - 1867 - 400 sider
...line &c. QED PROPOSITION 28. THEOREM. If a straight line falling on two other straight lines, make **the exterior angle equal to the interior and opposite angle on the same side** of the line, or make the interior angles on the same side together equal to two right angles, the two... | |
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