| Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...parallel. PROPOSITION XXVI.—THEOREM. If one straight line intersect two other straight lines, and make **the exterior angle equal to the interior and opposite angle upon the same side** of the line, or make the sum of the interior angles on the same side equal to two right angles, the... | |
| Āryabhaṭa - 1878 - 100 pages
...PROP. vin. THEOREM. (E. 1. 28-29.) If a itraiyht line fall upon two parallel straigU lines ; it makes **the exterior angle equal to the interior and opposite angle upon the same side** of the straight line and thii two interior angles upon the same side of it together equal to tico right... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...equal to two right angles, the two straight lines shall be parallel to one another. 29. Prove that **if a straight line fall upon two parallel straight...the same side together equal to two right angles.** Same proposition. In the triangle ABC, AD bisecting the angle BAC meets EC in D, and DE, DF parallel... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...which has the greater angle shall be greater than the base of the other. 2. 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 angles.... | |
| Moffatt and Paige - 1879 - 378 pages
...the converse of that axiom ? If so, is there any objection to the axiom ? 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 interior angles on the tame side toe/ether equal to two right angles.... | |
| Euclides - 1879 - 146 pages
...perpendiculars is the same whatever be the position of D. PROPOSITION XXIX. 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 angles.... | |
| University of Oxford - Greek language - 1879 - 414 pages
...sector of a circle, similar segments of circles. When is a straight line said to touch a circle ? 2. **If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another,** the exterior angle equal to the interior and opposite angle on the same side of the line, and the two... | |
| Moffatt and Paige - 1879 - 474 pages
...etc. QED Proposition XXVIII. Theorem. If a straight line, falling upon two other straight lines, makes **the exterior angle equal to the interior and opposite angle upon the same side** of the line, or makes the interior angles i^pon the same side together equal to two right angles, the... | |
| Oxford univ, local exams - 1880 - 396 pages
...with the square of the line between the points of section, is equal to the square of half the line. 4. **If a straight line fall upon two parallel straight...exterior angle equal to the interior and opposite** upon the same side of the line ; and likewise the two interior angles upon the same side of it together... | |
| James Russell Soley - Naval education - 1880 - 346 pages
...triangle being entirely outside the quadrilateral ; prove that the triangle has the greater perimeter. 3. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to** each other. Prove this ; and state clearly the axiom upon which your proof is based, and mention any... | |
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