| Euclid, Robert Simson - Geometry - 1821 - 514 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 to two right angles.* Let the... | |
| William Nicholson - Natural history - 1821 - 406 pages
...the exterior angle equal to the interior and opposite angle on the same side ; and likewise the two **interior angles upon the same side, together, equal to two right angles** If AB (fig. 5.) be parallel to CD, and E Fcut them in the points HG, then the angle AHG equals the... | |
| Peter Nicholson - Mathematics - 1825 - 1046 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 to two right angles. Let the... | |
| John Playfair - Circle-squaring - 1826 - 326 pages
...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 lines** are parallel to one another. Let the straight line EF, whieh falls upon the two straight line* AB,... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...the third angle BAC to the third angle EDF. Therefore, if two triangles, &c. QED PROP. XXVII. THEOR. **If a straight line falling upon two other straight, lines make the** alternate angles equal to one another^ these two straight lines shall be parallel. Let the straight... | |
| Euclid, Robert Simson - Geometry - 1829 - 548 pages
...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 lines shall** he parallel to one another. Let the straight line EF, which E falls upon the two straight lines AB,... | |
| John Playfair - Geometry - 1829 - 210 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 - 584 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 - 358 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*... | |
| Euclides - 1834 - 518 pages
...1. r Seethe notes on this proposition. C PROPOSITION XXVIII. THEOR. — If a straight line, failing **upon two other straight lines, make the exterior angle...straight lines shall be parallel to one another. Let the** straight line EF, which falls upon the two straight lines AB, CD, make the exterior angle EGB equal... | |
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