| Euclid - Geometry - 1845 - 199 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... | |
| Euclides - 1845
...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... | |
| Great Britain. Admiralty - Geometry - 1846
...towards A, C ; .'. AB || CD ; ™. ss. GEOMETRY. PROP. XXVII. THEOR. 28. 1 Eu. If a straight line falling **upon two other straight lines, make the exterior angle...straight lines shall be parallel to one another. Let the** str. line EF, which falls upon AB and CD, make ext. /. EGB = /_ GHD, the int. and oppo. /. on the same... | |
| Euclides - 1846
...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 - 317 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
...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
...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
...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 - 226 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... | |
| Euclides, Thomas Tate - 1849 - 108 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... | |
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