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" ... the same side together equal to two right angles ; the two straight lines shall be parallel to one another. "
Euclid's Elements of Geometry - Σελίδα 78
επεξεργασία από - 1895 - 657 σελίδες
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...equal to 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 lines shall be parallel to one another. Let the straight line EF, which E falls upon the two straight lines...

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...equal to 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 lines shall be parallel to one another. Prop. XXIX. Theor. If a straight line fall upon two parallel straight...

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...for example, that ** if " one straight line falls on two other straight lines, so as to make " the two interior angles on the same side together equal to two " right angles, these two straight lines, though indefinitely pro" duced, will never meet ;"— is not the boundless...

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...equal to 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 lines shall be parallel to one another. ELEMENTS Or XUCL1D. i 77 Let the straight line EF, which falls upon...

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...will make the alternate angles equal, the exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD ; the alternate angles AGF and DFG are...

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