Logical and historical remarks on Saccheri's geometry
نویسنده
چکیده
El autor se ocupa de la geometrfa contenida en el libro Euclides ab omni naevo vindicatus, 1733, de Girolamo Saccheri. Despuόs de plantear el problema en §1, el autor analiza en §2 los paralogismos cometidos por Saccheri, cuando este rechaza las geometrίas del £ngulo obtuso (eliptica) y del angulo agudo (hiperbόlica). En §3 expone el me*todo de Saccheri, basado principalmente en la ley de Clavius, {~pΌp) D p, y muestra su infLuencia y sus profundas consecuencias en la evoluciόn del concepto de geometrίa en Saccheri, Lambert, Taurinus y Gauss. Finalmente el autor en §4 intenta hacer comprensibles los motivos que impulsaron a Saccheri a cometer sus paralogismos, siendo el principal motivo la situaciόn histόrica y filosόfica contempora^iea.
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عنوان ژورنال:
- Notre Dame Journal of Formal Logic
دوره 11 شماره
صفحات -
تاریخ انتشار 1970