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. |
Inni boken
Resultat 1-5 av 66
Side iii
... . MORROW Adam Seybert Professor Emeritus of Moral and Intellectual Philosophy University of Pennsylvania PRINCETON UNIVERSITY PRESS 1970 PRINCETON , NEW JERSEY Published by Princeton University Press , 41 William Street ,
... . MORROW Adam Seybert Professor Emeritus of Moral and Intellectual Philosophy University of Pennsylvania PRINCETON UNIVERSITY PRESS 1970 PRINCETON , NEW JERSEY Published by Princeton University Press , 41 William Street ,
Side vii
... Philosophy of Mathematics Ivi Translator's Note lxviii The Commentary Prologue : Part One 3 Prologue : Part Two 39 Definitions 70 Postulates and Axioms 140 Propositions : Part One 156 Propositions : Part Two 276 Supplementary Note 344 ...
... Philosophy of Mathematics Ivi Translator's Note lxviii The Commentary Prologue : Part One 3 Prologue : Part Two 39 Definitions 70 Postulates and Axioms 140 Propositions : Part One 156 Propositions : Part Two 276 Supplementary Note 344 ...
Side ix
... philosophers in the Roman ( Byzantine ) empire and used as the basis for other people's lectures , just as Proclus ... philosophy of Plato . Friedlein's standard edition of the Greek text of our commentary de- scribes it as the work of ...
... philosophers in the Roman ( Byzantine ) empire and used as the basis for other people's lectures , just as Proclus ... philosophy of Plato . Friedlein's standard edition of the Greek text of our commentary de- scribes it as the work of ...
Side x
... philosophers , the best known of whom is Simplicius , went to Persia , but soon were permitted by an agreement between Persia and Constantinople - reliably dated to late 532 - to return home and live in peace . Scholars have disagreed ...
... philosophers , the best known of whom is Simplicius , went to Persia , but soon were permitted by an agreement between Persia and Constantinople - reliably dated to late 532 - to return home and live in peace . Scholars have disagreed ...
Side xii
... philosophy , medicine , and law . For the purposes of this introduction it is simplest to treat the last two of these as technical disciplines taught by practitioners . The other three formed the more general part of higher education ...
... philosophy , medicine , and law . For the purposes of this introduction it is simplest to treat the last two of these as technical disciplines taught by practitioners . The other three formed the more general part of higher education ...
Andre utgaver - Vis alle
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