A Commentary on the First Book of Euclid's ElementsPrinceton 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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Side ix
... Plato . Friedlein's standard edition of the Greek text of our commentary de- scribes it as the work of Proclus Diadochus , or Proclus the successor . The exact meaning of " successor " is elusive , but in the case of philos- ophy the ...
... Plato . Friedlein's standard edition of the Greek text of our commentary de- scribes it as the work of Proclus Diadochus , or Proclus the successor . The exact meaning of " successor " is elusive , but in the case of philos- ophy the ...
Side x
... ( 1926 ) : 265–72 . It is clear that Proclus had access to a consid- erable number of written works , but private libraries attached to private schools are not X so - called Academy founded by Plato in the fourth FOREWORD.
... ( 1926 ) : 265–72 . It is clear that Proclus had access to a consid- erable number of written works , but private libraries attached to private schools are not X so - called Academy founded by Plato in the fourth FOREWORD.
Side xi
Proclus Glenn R. Morrow. so - called Academy founded by Plato in the fourth century B.C.E. , an institution which almost certainly ceased to exist about three centuries after its founding . " The Neoplatonic " school " of Athens was a ...
Proclus Glenn R. Morrow. so - called Academy founded by Plato in the fourth century B.C.E. , an institution which almost certainly ceased to exist about three centuries after its founding . " The Neoplatonic " school " of Athens was a ...
Side xii
... Plato and Isocrates in the fourth century B.C.E. In general the rhetorician insisted on his ability to act effectively in the public arena , whereas the philosopher insisted on his deeper knowledge and greater purity . The competition ...
... Plato and Isocrates in the fourth century B.C.E. In general the rhetorician insisted on his ability to act effectively in the public arena , whereas the philosopher insisted on his deeper knowledge and greater purity . The competition ...
Side xiii
... Plato's Academy or the succession of Athenian Neoplatonists . There were also imperial appointments in let- ters and rhetoric in other cities , and localities made their own official appointments as well . The evidence suggests that ...
... Plato's Academy or the succession of Athenian Neoplatonists . There were also imperial appointments in let- ters and rhetoric in other cities , and localities made their own official appointments as well . The evidence suggests that ...
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A Commentary on the First Book of Euclid's Elements Proclus,Proclus Diadochus,Proclus Proclus Ingen forhåndsvisning tilgjengelig - 1970 |
Vanlige uttrykk og setninger
angle ABC angle BAC angles are equal angles equal Aristotle axioms Barocius base bisected called circle circular circumference coincide commentary common constructed contained demonstration diameter divided divisible drawn Eecke Elements equal angles equal sides equal to AC equal to angle equal to triangle equilateral triangle Euclid Euclid's Elements Eudemus exterior finite follows forms Friedlein Geminus geometer geometry given straight line greater than angle Greek Grynaeus Heath Hence hypothesis Iamblichus ideas indefinitely indivisible infinite intelligible interior angles isosceles triangle less Limit magnitude mathematics matter Neoplatonic Neoplatonists parallel lines parallelogram partless perpendicular philosophy plane Plato porism postulate principles problem Proclus produced propositions proved Pythagorean Reading with Barocius reason rectilinear angle rectilinear figures reduction to impossibility reference right angles sides equal soul square starting-points subtends surface Syrianus theorem things Timaeus tion triangle ABC understanding unequal Unlimited whole