| Robert Simson - Trigonometry - 1827 - 513 pages
...parallel to'CD. Wherefore, if a straight line, &c. QED PROP. XXVIII. THEOR. If a straight line falling **upon two other straight lines make the exterior angle equal to the interior and opposite upon the same** s1de of the line / or make the interior angles upon the same side together equal to two right angles... | |
| John Playfair - Geometry - 1829 - 186 pages
...to the interior and opposite angle on the same side of the line, or make the two interior angles on **the same side together equal to two right angles; the two straight lines** are parallel. Let the straight line EF, which intersects the two straight lines AB, CD, make the exterior... | |
| Pierce Morton - Geometry - 1830 - 272 pages
...same side of the hue. Therefore, if one straight line fall upon two other straight lines, so as to **make the exterior angle equal to the interior and opposite upon the same side,** those two straight lines shall be parallel : and conversely. Cor. 2 . The angles AE F. EFD, are called... | |
| John Playfair - Euclid's Elements - 1832 - 333 pages
...PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines makes the exterior tingle **equal to the interior and opposite upon the same side of the line; or** mukes the interior angles upon the same side together equal to two right angles; the two straight line*... | |
| Mathematics - 1835
...same side of the line. Therefore, if one straight line fall upon two other straight lines, so as to **make the exterior angle equal to the interior and opposite upon the same side,** those two straight lines shall be parallel : and conversely. • Cor. 2. The angles AEF, EFD, are called... | |
| Euclid - 1835 - 513 pages
...two parallel straight ti?isepropo- 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 equal to two right angles. Let the... | |
| Mathematics - 1836 - 472 pages
...straight lines are parallel. XXVIII. If a straight line falling upon two other straight lines makes **the exterior angle equal to the interior and opposite upon the same side of the line ; or** makes the interior angles upon the same side together equal to two right angles ; the two straight... | |
| Euclid, James Thomson - Geometry - 1837 - 390 pages
...the exterior angle equal to the interior and remote, upon the same side of that line ; and (2.) if it **make the interior angles upon the same side together equal to two right angles.** Let the straight line EF, which falls upon the two straight lines AB, CD, make the exterior angle EGB... | |
| Euclides - Euclid's Elements - 1837 - 88 pages
...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 the two interior angles upon the same side together equal to two right angles. Steps of the Demonstration.... | |
| John Playfair - Geometry - 1837 - 318 pages
...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 equal tu two right angles. Let the... | |
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