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 - Page 37by Great Britain. Admiralty - 1846Full view - About this book
| Edward Atkins - 1877 - 72 pages
...line, .fee. QED Proposition 29. — Theorem. If a straight line fall upon two parallel straightlines, **it makes the alternate angles equal to one another, and the exterior angle** eyual to the interior and opposite upon the same side; and also the two interior angles upon the same... | |
| Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...straight line intersect two parallel straight lines, it makes the alternate angles equal; it makes **the exterior angle equal to the interior and opposite angle on the same side, and** the sum of the two interior angles on the same side equal to two right angles. Let the straight line... | |
| 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...exterior angle equal to the interior and opposite angle** upon the same side, and likewise the two interior angles upon the same side together equal to two right... | |
| Great Britain. Civil Service Commission - 1879 - 622 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...interior and opposite angle on the same side ; and** also the two interior angles on the same side together equal to two right angles. 3. Triangles upon... | |
| 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...interior and opposite angle on the same side ; and** also the interior angles on the tame side toe/ether equal to two right angles. The axiom referred to... | |
| 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...interior and opposite angle on the same side; and** also the two interior angles on the same side together equal to two right angles. Let the st. line... | |
| 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...interior and opposite angle on the same side ; and** also the two interior angles on the same side together equal to two right angles. 3. Triangles upon... | |
| Moffatt and Paige - 1879 - 474 pages
...straight line, falling upon two other, etc. QED Proposition XXIX. Theorem. If a straight line falls **upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite angle** upon the same side, and also the two interior angles upon the same side together equal to two right... | |
| University of Oxford - Greek language - 1879 - 412 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... | |
| Edward Harri Mathews - 1879 - 94 pages
...rhombus. 4. If a straight line fall on two parallel straight lines it makes the alternate angles equal, **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 to two right angles. What axiom did Playfair... | |
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