 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...  Elements of geometry, based on Euclid, books i-iii - Page 34by Edward Atkins - 1876 - 119 pagesFull view - About this book
 | 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
...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...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
...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 angle equal...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... | |
 | 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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