 | Euclides - 1874 - 342 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. Construction. For,... | |
 | Edward Atkins - 1874 - 428 pages
...straight lines make the alternate angles equal to one another, 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 _A_J5Z B Given AEF, EFD, equal to one another. / ~ AB shall be parallel to CD. / For... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...the two lines are parallel. Let the straight line EF intersect the two straight lines AB, CD, making the exterior angle EGB equal to the interior and opposite angle GHD; then the lines AB, CD are parallel. For the angle AGH is equal to the angle EGB (Theo. III.) ; and... | |
 | Euclides - 1874 - 120 pages
...interior and opposite angle on the same side of tlie line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall lie parallel to one another. * Let the straight line EF, which falls on the two ' • straight lines... | |
 | Henry Major - 1876 - 784 pages
...the interior and opposite npon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the two straight lines shall be parallel to one another. 3. In any right-angled triangle, the square which, is described upon the side snbtending the right... | |
 | Edward Atkins - 1876 - 130 pages
...straight lines make the alternate angles equal to one another, 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 ^ "&/ B^ Given AEF, EFD, equal to one another. / \ j EFD' AB shall be parallel to... | |
 | Edward Atkins - 1877 - 72 pages
...straight lines make the alternate angles equal to one another, 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 _*L__?/ J^ Given AEF, EFD, equal to one another. / ~"\ j £££ ~* AB shall be parallel... | |
 | Moffatt and Paige - 1879 - 474 pages
...interior and opposite angle upon the same side of the line, or makes the interior angles i^pon the same side together equal to two right angles, the two straight...interior and opposite angle GHD upon the same side ; or make the interior angles on the same side BGH, GHD together equal to two right angles. Then AB... | |
 | Euclides - 1879 - 146 pages
...to the interior and opposite on the same side of the line; or make the interior angles on fhe same side together equal to two right angles ; the two...straight lines shall be parallel to one another. Let the st. line EF, which falls on the two st. lines AB, CD, make the ext. L EGB = int. and opp. Z GHD on... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...interior and b 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. 29. Prove that if a straight line fall upon two parallel straight lines, it makes the alternate angles... | |
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... upon the same side together equal to two right angles, the two straight lines shall be parallel to one another. 
