 | George Baron - Mathematics - 1804 - 318 pages
...not founded upon reasoning strictly logical and conclusive. He lays this down as a Lemma : " If yoa make any supposition, and in virtue thereof deduce...deduced must be destroyed and rejected, so as from thenceforward to be no more supplied or applied in the demonstration." This, he thinks, is so plain... | |
 | Douglas M. Jesseph - Mathematics - 1993 - 344 pages
...Supposition; in that case, all the other Points, attained thereby and consequent thereupon, must also be destroyed and rejected, so as from thence forward to be no more supposed or applied in the Demonstration. (Analyst, ยง12) In essence this lemma asserts the unexceptionable... | |
 | William Bragg Ewald - Mathematics - 2005 - 696 pages
...supposition; in that case, all the other points attained thereby, and consequent thereupon, must also be destroyed and rejected, so as from thence forward to be no more supposed or applied in the demonstration.' This is so plain as to need no proof. 1 3 Now the other... | |
 | Niccol- Guicciardini - History - 2003 - 246 pages
...Supposition ; in that case, all the other Points, attained thereby and consequent thereupon. must also be destroyed and rejected, so as from thence forward to be no more supposed or applied in the Demonstration. (Berkeley (1734). pp. 19-20) Berkeley tried to show that... | |
 | Ivor Grattan-Guinness - Mathematics - 2005 - 1040 pages
...Supposition; in that case, all the other Points, attained thereby and consequent thereupon, must also be destroyed and rejected, so as from thence forward to be no more supposed or applied in the Demonstration. He characterizes this principle as 'so plain as to need no... | |
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... to demonstrate any proposition, a certain point is supposed, by virtue of which certain other points are attained; and such supposed point be it self afterwards destroyed or rejected by a contrary supposition; in that case, all the other points attained... 