 ... if a straight line, &c. QED PROPOSITION 29. — Theorem. If a straight 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 ;...  Elements of Geometry: With Notes - Page 165by John Radford Young - 1827 - 208 pagesFull view - About this book
 | Edward Atkins - 1876 - 130 pages
...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 line EF fall upon the parallel straight lines AB, CD; The alternate angles AGH, GHD shall be equal to ono... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...straight lines, etc. PROPOSmOX XXI. THEOREM. If a straight line meeting two other straight lines makes the interior angles on the same side together equal to two right angles, the two lines are parallel. . E c Let the straight line AB, which meets the two straight lines AC,... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...equal to each other. 2. The exterior angle equal to the opposite interior angle on the same side. 3. The two interior angles on the same side together equal to two right angles. Let the straight line EF fall on the two parallel lines AB, CD. 1. The alternate angles B A GH, GHD will be equal to each... | |
 | Euclides - 1879 - 146 pages
...another, and the 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 angles. Let the st. line EF, fall on the || st. lines AB, CD. Then the alt. Z. s AGH, GHD shall be = one another ;... | |
 | Edward Harri Mathews - 1879 - 94 pages
...equal, and the 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 angles. What axiom did Playfair propose to substitute for Euclid's 1 2th axiom in proving this proposition?... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...another, and the 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 angles. 3. Triangles upon the same base and between the same parallels are equal to one another. Let ABC, ABD,... | |
 | Great Britain. Civil Service Commission - 1879 - 620 pages
...another, and the 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 angles. 3. Triangles upon the same base and between the same parallels are equal to one another. Let ABC, ABD,... | |
 | Moffatt and Paige - 1879 - 474 pages
...equal to the interior and opposite angle upon the same side, and also the two interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB,CD. Then, the alternate angles AGH, GHD shall be equal... | |
 | Elias Loomis - 1880 - 456 pages
...equal to each other / also, any exterior angle equal to the interior and remote on the same side / and the two interior angles on the same side together equal to two right angles. Let the straight line EF intersect the .13 two parallel lines AB, CD; the alternate \ -__jj angles AGH, GHD are equal to... | |
 | T S. Taylor - 1880 - 152 pages
...one another, (b) the exterior angle equal to the interior and opposite angle on the same side, (c) the two interior angles on the same side together equal to two right angles. Particular Enunciation. Given. — The straight line EF, falling on the two parallel lines AB, CD.... | |
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