 | Benjamin Greenleaf - 1863 - 504 σελίδες
...alternate angles equal; also any exterior angle equal to the interior and opposite angle ; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- j; sect the parallel lines AB, CD ; \ the alternate angles AGH, GHBV... | |
 | Euclides - 1864 - 262 σελίδες
...make the exterior angle 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 shall oe parallel to o><e another. Let the straight line EF, which falls upon the two straight lines AB,... | |
 | Euclides - 1864 - 448 σελίδες
...and the exterior angle equal to the interior and opposite upon the same side ; and lihewise the two interior angles upon the same side together equal to two right angles. Let the straight line EFfall upon the parallel straight lines AB, CD. Then the alternate angles A GH,... | |
 | Euclides - 1865 - 80 σελίδες
...equal to the interior opposite angle on the same side of the line ; or makes the interior angles on the same side together equal to two right angles, the two straight lines are parallel. Let the straight line EF which intersects the two straight lines AB, CD make the exterior... | |
 | Euclides - 1865 - 402 σελίδες
...make the exterior angle 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 ; tlien the twa straight lines shall be parallel to one another. (References — Prop. I. 13, 15, 27... | |
 | J. F. H. de Rheims - 1865 - 336 σελίδες
...and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Prop. 32. — Theorem. If one side of any triangle be produced, the exterior angle is equal to the... | |
 | John Playfair - 1855 - 350 σελίδες
...lines makes the exterior an gle equal to the interior and opposite upon the same side of the Itnt; or makes the interior angles upon the same side together...equal to two right angles ; the two straight lines are parallel to one another. Let the straight line EF, which 33 falls upon the twe straight lines AB,... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles,...one another. Let the straight line EF, which falls on the two straight lines AB, CD, make the exterior angle EGB equal to the interior and opposite angle... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...equal to the interior and opposite angle on the same side of the line, or make the interior angles on the same side together equal to two right angles,...one another. Let the straight line EF, which falls on the two straight lines AB, CD, make the exterior angle EGB\ equal to the interior and opposite angle... | |
 | Benjamin Greenleaf - 1868 - 340 σελίδες
...alternate angles equal; also any exterior angle equal to the 'interior and opposite angle ; and the two interior angles upon the same side together equal to two right angles. Let the straight line EF inter- E sect the parallel lines AB, CD ; \ the alternate angles AGH, GHDV... | |
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IF a straight line falling upon two other straight lines makes the exterior angle 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... 
