 | Euclides - 1874 - 120 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. j Let the straight line EF fall on the two parallel ' • straight lines AB, CD : the alternate angles... | |
 | Euclides - 1874 - 342 pages
...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 two straight lines sha/.l be parallel to one another. Let the straight line EF, which falls upon the two straight lines... | |
 | Richard Wormell - 1876 - 268 pages
...lines are parallel." (c). " When a straight line, falling across two other straight lines, makes the two interior angles on the same side together equal...right angles, the two straight lines are parallel." And conversely — (of). " When a straight line falls across two parallel straight lines it - makes... | |
 | Education Department,London - 1876 - 1010 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 12th axiom in proving this proposition?... | |
 | Henry Major - 1876 - 784 pages
...eqnal 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 two straight lines shall be parallel to one another. 8. Parallelograms upon the same base, and between the same parallels,... | |
 | Edward Atkins - 1876 - 130 pages
...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 two straight lines cliall be parallel to one another. Let the straight line EF, which falls upon the two straight lines... | |
 | Robert Potts - Geometry - 1876 - 446 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. What objections have been urged against the doctrine of parallel straight lines as it is laid down... | |
 | 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, BD, make... | |
 | Āryabhaṭa - 1878 - 100 pages
...conversely, if the exterior angle is equal to the interior apposite angle or the two interior angles are together equal to two right angles ; the two straight lines are parallel. Let EF fall upon AB, CD which are parallel. The exterior angle EGB is A \a rf equal to the interior and... | |
 | 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?... | |
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... the same side together equal to two right angles ; the two straight lines shall be parallel to one another. 
