 | 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... | |
 | 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
...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...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... | |
 | 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
...another, these two straight lines »hall be parallel. Prop. XX V 111. Theor. If a straight line falling upon two other straight lines make« the exterior...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...the two straight lines are parallel to one another. Let the straight line EF, which falls upon the two straight lines AB, CD, make the exterior angle EGB... | |
 | 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... | |
 | 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... | |
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Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon... 
