A Commentary on the First Book of Euclid's Elements
Princeton University Press, 8. nov. 1992 - 355 sider
In Proclus' penetrating exposition of Euclid's methods and principles, the only one of its kind extant, we are afforded a unique vantage point for understanding the structure and strength of the Euclidean system. A primary source for the history and philosophy of mathematics, Proclus' treatise contains much priceless information about the mathematics and mathematicians of the previous seven or eight centuries that has not been preserved elsewhere. This is virtually the only work surviving from antiquity that deals with what we today would call the philosophy of mathematics.
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according angles equal appears assume axioms Barocius base bounded called cause character circle clear commentary common conclusion constructed contained converse definition demonstration described diameter direction distance divided divisible draw drawn Elements equal equal to angle equilateral Euclid evident example existence extended fall figures follows forms four Friedlein geometer geometry given greater Heath Hence hypothesis ideas imagination impossible intelligible interior angles isosceles joined kind knowledge later length less Limit magnitude mathematics matter means meet method moving namely nature objects opposite parallel parallelogram philosophy plane Plato position possible postulate present principles problem Proclus produced proof properties propositions proved Reading reason reference remaining respectively right angles sense sides simple solid soul square straight line surface taken term theorem things thought tion triangle understanding unequal universal whole
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