| Euclid, John Playfair - Euclid's Elements - 1846 - 332 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... | |
| 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... | |
| 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
...to each, and also the third angle of the one to the third angle of the other. PROP. XXVII. THEOREM. **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. PROP. XXVIII. THEOREM.... | |
| 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
...produced, the exterior angle is greater than cither of the interior opposite angles. SECTION II. 1. **If a straight line falling upon two other straight...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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...line fall upon two parallel straight lines, it makes the alternate angles equal to one anotker ; 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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