Mathematics in AristotleClarendon Press, 1949 - 291 Seiten |
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Seite 169
... solid figure , because it is bounded by one surface ( whereas rectilinear solids are bounded by several ) . Aristotle goes on : Ib . II . 4. 286b27-33 ' Again , those who divide ( bodies ) into planes and generate bodies from planes ...
... solid figure , because it is bounded by one surface ( whereas rectilinear solids are bounded by several ) . Aristotle goes on : Ib . II . 4. 286b27-33 ' Again , those who divide ( bodies ) into planes and generate bodies from planes ...
Seite 174
... solid figures , does not give actual solid figures but only hollow shells devoid of thickness . Simplicius observes that some of the commentators on Plato , and notably Iamblichus , held that in generating the solids in this way Plato ...
... solid figures , does not give actual solid figures but only hollow shells devoid of thickness . Simplicius observes that some of the commentators on Plato , and notably Iamblichus , held that in generating the solids in this way Plato ...
Seite 209
... solid are copies ( these are numbers which are so many times so many , or so many times so many times so many ) ; and generally that which is inherent in the essence besides quantity ( is quality ) . For the essence of a thing is what ...
... solid are copies ( these are numbers which are so many times so many , or so many times so many times so many ) ; and generally that which is inherent in the essence besides quantity ( is quality ) . For the essence of a thing is what ...
Inhalt
INTRODUCTION I | 11 |
CATEGORIES | 17 |
c Observational astronomyphaenomena | 25 |
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Antiphon Archimedes argument Aristarchus of Samos Aristotle Aristotle says Aristotle's assume assumption astronomy attributes axioms body caelo centre circumference clear continuous cylinder definition Democritus described diagonal diameter distance divided divisible earth equal Eucl Euclid Eudemus Eudoxus exists extremities fact figure finite force fulcrum genus geometry given gnomons Greek Mathematics Hence hypothesis Iamblichus indivisible lines infinite number isosceles length less lesser lever lunes magnitude mathematician matter means Metaph method of exhaustion moon motion movent nature Oxford translator parallel particular passage perpendicular Phys physics plane Plato polygon position principles Proclus proof proportion proposition proved Pythagoreans radius ratio rectilinear reductio ad absurdum respectively rest right angles semicircle sense sensible separate side similarly Simplicius solid speed sphere square straight line suppose Themistius theorem things Timaeus traverse triangle weight whole words ἐν καὶ τὰ τῆς τὸ