 | 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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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... 
