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... Pure mathematics - Page 116by Edward Atkins - 1874Full view - About this book
| Euclides - 1846 - 292 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 also the two interior angles upon the same side together equal to two right angles. Let the straight... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 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... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 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. Let the str. line EF fall on the || str. lines AB, CD, then alt. L AGH = alt. Z. GHD, ext. / _ EGB... | |
| Euclides - 1847 - 128 pages
...and opposite angle upon the same side of the line, or makes the interior angles upon the same side equal to two right angles, the two straight lines shall be parallel to one another. PART. ENUN. — Let the st. line EF, falling upon the two st. lines AB, CD, make the exterior 2. BGB... | |
| Euclides - 1848 - 52 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. PROP.... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...intersecting two other straight lines, makes the alternate angles equal to each other, or makes an exterior angle equal to the interior and opposite upon the same side of the secant line, these two lines are parallel. intersects the two straight lines AB, / Let the straight... | |
| Euclid, Thomas Tate - 1849 - 120 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 egual to two right angles. Let the... | |
| Education - 1850 - 488 pages
...angle is greater than cither of the interior opposite angles. SECTION II. 1. If a straight line falling upon two other straight lines, make the exterior angle...two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite... | |
| Education - 1851 - 502 pages
...line fall upon two parallel straight lines, it makes the alternate angles equal to each other: and the exterior angle equal to the interior and opposite upon the same side : and likewiie the two interior angles upon the same side together equal to two right angles. 2. In... | |
| Euclides - 1852 - 152 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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