Mathematics in AristotleClarendon Press, 1949 - 291 Seiten |
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Seite 236
... weight in the case of the lever present the same phenomenon as the two weights acting perpendicularly to the common diameter of two concentric circles . Our author gives only the case of the lever of the ' first class ' , that in which ...
... weight in the case of the lever present the same phenomenon as the two weights acting perpendicularly to the common diameter of two concentric circles . Our author gives only the case of the lever of the ' first class ' , that in which ...
Seite 241
... weight ) , whereas it is one of the ' second ' class , in which the fulcrum is at one end ( in this case the ground ) and the force and the weight act on the same side of the fulcrum , the weight being nearer to it . Heron ' also ...
... weight ) , whereas it is one of the ' second ' class , in which the fulcrum is at one end ( in this case the ground ) and the force and the weight act on the same side of the fulcrum , the weight being nearer to it . Heron ' also ...
Seite 243
... weight H so hung that it acts at E and a power F pulling downwards at B. Then if AE is small compared with AB the power will balance a much larger weight , for F : H = AB : AE . In case the pulleys on the lower block carrying the weight ...
... weight H so hung that it acts at E and a power F pulling downwards at B. Then if AE is small compared with AB the power will balance a much larger weight , for F : H = AB : AE . In case the pulleys on the lower block carrying the weight ...
Inhalt
INTRODUCTION I | 11 |
CATEGORIES | 17 |
c Observational astronomyphaenomena | 25 |
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Häufige Begriffe und Wortgruppen
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