| Edward Atkins - 1874
...27). Therefore, if a straight line, <fec. QE 2). Proposition 29. — Theorem. If a straight line fall **upon two parallel straight lines, it makes the alternate...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 - 1874
...parallel to one another. PROPOSITION 29. THEOREM. If a straight line fall on two parallel straif/ht **lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite** angle on the same side ; and also the two interior angles on the same side together equal to two right... | |
| Benjamin Greenleaf - Geometry - 1874 - 176 pages
...makes the alternate angles equal; also any exterior angle equal to the interior and opposite angle; and **the two interior angles upon the same side together...equal to two right angles. Let the straight line EF** inter- E sect the parallel lines AB, CD; the \ , alternate angles AGH, GHD are \G equal ; the exterior... | |
| Edward Atkins - 1874
...&c. QED Proposition 28. — Theorem. If a straight line falling upon two otlier straight lines make **the exterior angle equal to the interior and opposite upon the same side** of the line, or make t/ie interior angles upon the same side together equal to two right angles, the... | |
| Euclides - 1874
...&c. Q ED PROPOSITION 28.— 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 the same side together equal to two right angles ; the... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...Hence Propositions XXI. and XXII. are established as follows: PROPOSITION XXL If a straight line meets **two parallel straight lines it makes the alternate angles equal to one another.** Let the straight line FG meet the two || straight lines AB, CD, then shall L AFG = the alternate L... | |
| Benjamin Greenleaf - Geometry - 1875 - 176 pages
...alternate angles equal; also any exterior angle equal to the interior and opposite angle.; and the tiro **interior angles upon the same side together equal to two right angles. Let the straight line EF** inter- E sect the parallel lines AB, CD; the alternate angles AGH, GHD are equal; the exterior angle... | |
| 1876
...of them. 3. Trace the descent of Queen Victoria from James I. EUCLID. — 1. If a straight line fall **upon two parallel straight lines, it makes the alternate...the same side together equal to two right angles.** AB is parallel to CD, AD is bisected in E ; show that any other straight line drawn through E to meet... | |
| Henry Major - 1876
...exterior angle at the base of the triangle. 2. If a straight line fall upon two parallel straight Hues, **it makes the alternate angles equal to one another,...the same side; and likewise the two interior angles** npon the same side together equal to two right angles. 3. Equal triangles upon equal bases in the same... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 349 pages
...0. ED PROPOSITION XXIX. THEOREM. If a straight line fall upon two parallel straight lines, it makes **the two interior angles upon the same side together equal to two right angles,** and also the alternate angles equal to one another, and alao the exterior angle equal to the interior... | |
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