 | Robert Simson - Trigonometry - 1806 - 546 pages
...straight line, &c. QED PROP. XXVIII. THEOR. 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... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...the third angle BAG 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 are parallel. Let the straight line... | |
 | William Nicholson - 1809 - 716 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 С D, and EF cut them in the points HG, then the angle AHG equals the... | |
 | William Nicholson - Natural history - 1809 - 684 pages
...the exterior angle equal to the interior and opposite augle 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 £ F cut them in the points HG, then the angle AHG equals the... | |
 | Euclid - Geometry - 1810 - 554 pages
...angle BAC to the third angle EDF. Therefore, if' . two triangles, &«. QED Book l. 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... | |
 | John Mason Good - 1813 - 714 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 ansies. Prop. XXX.... | |
 | Euclides - 1816 - 588 pages
...line, &c. QED PROP. XXVIII. THEOR. 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... | |
 | John Mason Good - 1819 - 800 pages
...altérnale angles equal to one another, these two straight lines »hall be parallel. Prop. XX V 111. Theor. If a straight line falling upon two other straight...interior and opposite upon the same side of the line; or makes the interior angles upon i he same side together equal to two rirhc angles ; the two straight... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...exterior angle equal to the interior and opposite upon the same side of the line; or makes the imerior 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, which falls upon the two straight lines AB,... | |
 | John Playfair - 1819 - 354 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 too interior angles upon the same side together equal to two right angles. Let the... | |
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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... 
