 | Science - 1886 - 548 pages
...equivalence of the three forms of the parallel-axiom mentioned in my paper. Form (a), (Euclid's) is: — "If a straight line meets two straight lines, so as...the angles which are less than two right angles." In other words, if the angle CAH + the angle ABD < 180°, then AC and />' l> will at length meet. This... | |
 | Roberto Bonola - Mathematics - 1955 - 452 pages
...make equal alternate angles, he hrings m the unwieldly postulate or axiom: " If a straight line meet two straight lines, so as to make the two interior...less than two right angles, these straight lines, heing continually produced, shall at length meet on that side on which are the angles which are less... | |
 | I. N. Herstein, Irving Kaplansky - Mathematics - 1978 - 256 pages
...one another. But nothing up to this point has prepared us for the astonishing final axiom. AXIOM 12. If a straight line meets two straight lines, so as...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. The axiom is illustrated... | |
 | Ivor Grattan-Guinness, Gerard Bornet - Mathematics - 1997 - 310 pages
...4. And that all right angles are equal to one another. 5. And that if a straight line meet two other straight lines so as to make the two interior angles...these straight lines being continually produced shall meet on that side on which are the angles which are less than two right angles. 6. And that two straight... | |
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If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... 
