Sentence Examples


  • In these lectures he expounded his peculiar views in a stricter form, and during the last decade of his life he embodied the substance of those courses in his System der Philosophie, of which only two volumes have appeared (vol.
  • - The range and importance of the scientific labours of Archimedes will be best understood from a brief account of those writings which have come down to us; and it need only be added that his greatest work was in geometry, where he so extended the method of exhaustion as originated by Eudoxus, and followed by Euclid, that it became in his hands, though purely geometrical in form, actually equivalent in several cases to integration, as expounded in the first chapters of our text-books on the integral calculus.
  • The second (a geometrical proof) is expounded in Props.
  • This second point of view, as clearly expounded by Mgr Joseph Fessler (1813-1872), bishop of St P6lten, who was secretary to the Vatican Council, in his work Die whhre and die falsche Unfehl- .barheit der Papste (French trans.
  • His second great work, Meditations on the First Philosophy, which had been begun soon after his settlement in the Netherlands, expounded in more detail the foundations of his system, 1 Ouvres, vi.

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