 | Euclid - Geometry - 1838 - 470 pages
...the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles; the two straight...one another. Let the straight line EF, which falls E upon the two straight lines AB, CD, -v make the exterior angle EGB equal to \G the interior and opposite... | |
 | Euclides - 1838 - 264 pages
...the interior and opposite upon the same tide of the line; or makes the interimangles upon the same side together equal to two right angles; the two straight lines shall be parallel to one another. I, pf (In' straight line EF, which falls upon the two straight lines AB, CD, make the exterior angle... | |
 | Euclides - Geometry - 1841 - 378 pages
...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 two straight...Let the straight line EF, which falls upon the two equal to the interior and opposite angle GHD upon the same side; or make on the , ; same side the interior... | |
 | Chambers W. and R., ltd - 1842 - 744 pages
...interior and opposite angle upon the same side of the line, or makes the interior angles upon the same side together equal to two right angles, the two straight lines shall be parallel to one another. To make this more clear, it may be as well to subjoin an example. Let the straight line EF, which E»... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...straight lines makes the alternate angles equal to one another, these two straight lines are parallel. Let the straight line EF, which falls upon the two straight lines AB, CD make the alternate angles AEF, EFD equal to one another ; AB is parallel to CD. For, if it be not parallel,... | |
 | Euclides - 1842 - 316 pages
...falls upon two other straight lines, and makes the sum of the two interior angles upon the same side equal to two right angles, the two straight lines shall be parallel. Numerous efforts have, at various times, been made to obtain a direct proof of this postulate, and... | |
 | Education - 1844 - 688 pages
...to the interior and opposite upon the same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel. 5. If the square described upon one of the sides of a triangle be equal to the squares described upon... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...line ; and (2) if it make the interior angles upon the same side together equal to two right angles. Let the straight line EF, which falls upon the two...make the exterior angle EGB equal to the interior and remote angle GHD upon the same side of EF, or make the interior angles on the same side, BGH, GHD,... | |
 | Euclid - Geometry - 1845 - 218 pages
...interior angles upon the same side together equal to two right angles; the two straight lines ihatt be parallel to one another. Let the straight line...falls upon the two straight lines AB, CD, make the JE exterior angle EGB equal to the A \c B interior and opposite angle GHD upon the same side; or make... | |
 | Euclides - 1845 - 546 pages
...lines, make the alternate angles equal to each other ; these two straight lines shall be parallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another. Then AB shall be parallel to CD. 7 > r D For, if AB... | |
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... upon the same side together equal to two right angles, the two straight lines shall be parallel to one another. 
