 | 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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Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to... 
