| Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 páginas
...by experiment to be true; and conceivably it is not true. For why should there not be more than one straight line through a given point parallel to a given straight line 1 Through a point O we can certainly draw more than one line which does not meet AB if produced to... | |
| 1910 - 874 páginas
...able so far to deny the evidence of his senses as to take seriously the possibility of more than one straight line through a given point parallel to a given straight line. Even the temporary assumption of an absurd hypothesis, as in the reductio ad absurdum, seemed objectionable... | |
| Euclid - 454 páginas
...DEF is supplementary to the angle ABC. PROPOSITION 31. Through a given point to draw a straight line parallel to a given straight line. Let A be the given point, and BC the given straight line ; thus it is required to draw through the point A a straight line parallel... | |
| 480 páginas
...cannot however be proved by experiment to be true. It is conceivable that there might be more than one straight line through a given point parallel to a given straight line. Through a point O we can certainly draw more than one line which does not meet AB if produced to the... | |
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