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
| Joseph Hughes - Education - 1883 - 578 pages
...to you by the Inspector. Euclid. [All generally understood abbreviations for words may be used.] 1. **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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...CD. [I. 27. Wherefore, if a straight line &c. QED PROPOSITION 29. THEOREM. If a straight line fall on **two parallel straight lines, it makes the alternate...angle equal to the interior and opposite angle on the** game side; and also the two interior angles on the same side together equal to two right angles. on... | |
| Euclides - 1883 - 176 pages
...opposite sides parallel. 67. A rhombus and a rhomboid have their opposite sides parallel. PROP. 29. THEOR. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal,** the corresponding angles equal, and the two interior angles on the same side of it together equal to... | |
| Moffatt and Paige - 1883 - 514 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 angles equal to one another, and** thc exterior angle equal to the interior and opposite angle upon the same side, and also the two interior... | |
| Euclides - 1884 - 182 pages
...quadrilateral be all right, show that it is a parallelogram. 71. PROPOSITION XXIX. — 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 right... | |
| F. B. Stevens - Examinations - 1884 - 202 pages
...is equivalent to the difference of the squares of those lines. 1880. 1. If a straight line fall on **two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** (or remote) angle on the same side ; and also the two interior angles on the same side together equal... | |
| Stewart W. and co - 1884 - 272 pages
...alternate angles ; therefore A"R is parallel to CD. XXIX. — If a straight line fall upon twoparallel **straight lines, it makes the alternate angles equal...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... | |
| 1884 - 654 pages
...side and perpendicular of an equilateral triangle ; construct the triangle. 10 marks. 3. Prove that **if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another.** 10 marks. •I. The sides of a triangle are 15 feet, 37 feet, and 41 feet : find the length of the... | |
| Euclides - 1884 - 214 pages
...<fcc. QED PROPOSITION XXVIII. 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... | |
| United States. Congress. Senate - United States - 1880 - 1302 pages
...being entirely outside the quadrilateral ; prove lh»t the triangle ha« the greater perimeter. 3. **If a straight line fall upon two parallel straight lines, it makes the alternate** an|k* equal to each other. Prove this; and state clearly the axiom upon which your proof in based,... | |
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