Proclus was however a close reader of plato, and quite often makes very astute points about his platonic sources. A commentary on the first book of euclids elements book, 1970. Commentaries on plato, aristotle, plotinus, and porphyry. The fragments that remain of the lost writings of proclus, surnamed the platonic successor london. On sacrifice and magic on theurgy 51 on mythical symbols 52 on the mother of. Elements in the translation and commentaries of the famous russian. Book i starts with the definitions, postulates and common notions, and then states and proves the propositions. In his commentary on euclid, proclus says both that the first principle of geometry are selfevident and that they are hypotheses received from the single, highest, unhypo thetical science, which is probably dialectic.
A commentary on the first book of euclids elements by proclus. Stanford libraries official online search tool for books, media, journals, databases, government documents and more. Proclus hypothesis, mathematics of harmony, euclids elements, pythagoras, plato. Heath, the thirteen books of euclids elements, 2930 propaedeutic means a piece of learning that prepares you for something else. Euclid project gutenberg selfpublishing ebooks read. Euclids elements is by far the most famous mathematical work of classical antiquity, and also has the distinction of being the worlds oldest continuously used mathematical textbook. Proclus commentary on platos cratylus is the only ancient commentary on this work to have survived, and is illuminating in two particular respects. He was active in alexandria during the reign of ptolemy i 323283 bc. We know that in the neoplatonic school the younger pupils learnt mathematics.
Added a latin translation of proclus commentary on euclid i. After mentioning two students of plato, proclus writes. Euclids book on division of figures project gutenberg. Pdf geometrical first principles in proclus commentary on. Procluss use, in his commentary on euclid, of iamblichuss work on pythagoreanism book iii is examined, as are his views on general mathematics, on the importance of geometry in relation to arithmetic, on euclid, and on the method and uses of geometry. Proclus commentary on the first book of euclids elements in. Proclus s commentary on the first book of euclid s elements is by far the biggest extant source for the history of greek mathematics. Details about euclids life are sparse the main biographical information was not written until many centuries later, e.
Phantasia between soul and body in proclus euclid commentary. Proclus proclus complete works extant, lost, and spurious. Pdf scans of friedleins greek edition, now in the public domain classical greek on the signs of divine possession partial translation of procluss work. Download pdf procluscommentaryonthefirstbookofeuclid. In ancient times, commentaries were written by heron of alexandria flourished 62 ce, pappus of alexandria flourished c. Heath, the thirteen books of euclid s elements, 2930 propaedeutic means a piece of learning that prepares you for something else. Proclus, approximately 410485 contributor taylor, thomas, 17581835. For, as the remarkable aristotle tells us, the same ideas have repeatedly come to men at. Pdf geometrical first principles in proclus commentary. In his discussion, he describes phantasia in terms which make it seem like a passive screen, onto which geometrical figures are projected. Little is known about the author, beyond the fact that he lived in alexandria around 300 bce. Philosophical and mathematical commentaries of proclus on the first book of euclid s elements. Booktopia proclus, a commentary on the first book of. The philosophical and mathematical commentaries of proclus on the.
Click download or read online button to procluscommentaryonthefirstbookofeuclidselements book pdf for free now. Proclus on the parallel postulate mactutor history of. Booktopia has proclus, a commentary on the first book of euclids elements by proclus. The implication of this seems to be that a geometer both does and does not know geometrical truths. A commentary on the first book of euclids elements proclus. Procli diadochi philosophi platonici ac mathematici probatissimi in primum eulcidis elementorum librorum commentarium. Download proclus commentary onthefirstbookof euclid selements ebook pdf or read online books in pdf, epub, and mobi format. We must next speak of the origin of geometry in the present world cycle. Mueller, ian 1987 mathematics and philosophy in proclus commentary on book i of euclids elements, in pepin and saffrey 1987, 30518. 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. The philosophical and mathematical commentaries of proclus on. Includes editions and translations of euclid s elements, data, and optica, proclus s commentary on euclid, and other historical sources. A commentary on the first book of euclids elements by proclus book resume.
Table of contents of procluss commentary on the republic xxxi addendum 2. January 27, 2011 added the 1880 tehran edition of nasir aldin altusis tahrir of euclid s elements. Proclus diadochus, in his commentary on euclids elements, relates the history of geometry up to the time of euclid. Click download or read online button to proclus commentary on thefirstbookof euclid selements book pdf for free now. Proclus commentary on euclid s definitions 1,3 and 1,6. Euclids elements of geometry university of texas at austin. Geometrical first principles in proclus commentary on the first book of euclids elements. Proclus on plato cratylus download ebook pdf, epub. The main subjects of the work are geometry, proportion, and. Uckelman earlier this week i was following up on some notes id scribbled down over a month ago in a meeting with a colleague, one of which was proclus. Proclus on the parallel postulate the fact that the fifth postulate of euclid was considered unsatisfactory comes from the period not long after it was proposed. A commentary on the first book of euclid s elements by proclus book resume. Morrow in proclus penetrating exposition of euclids 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.
Pdf scans of friedleins greek edition, now in the public domain classical greek on the signs of divine possession partial translation of proclus s work on the sacred art translation and discussion of this surviving extract from a larger work by proclus. Added a pdf of dvivedis 1902 edition of the bss added a second copy of vol. This pdf file is optimized for printing, but may easily be recompiled for screen. Proclus commentary on the first book of euclids elements. In proclus penetrating exposition of euclids methods and principles, the only one of its kind extant, we are afforded a unique vantage point for understanding the structure and strenght of the euclidean system. The story of axiomatic printing pdf in black and white only geometry begins with. Indeed, much of what is known or conjectured is based on what proclus says. A thorough analysis of the influence of those works on proclus ideal of science has yet to be undertaken. A commentary on the first book of euclids elements book. The platonic theology is the culminating work of proclus long career and. Pdf geometrical first principles in proclus commentary on the. Proclus on euclids elements nous pythagoras scribd. Procluss commentary on the first book of euclids elements is by far the biggest extant source for the history of greek mathematics.
Reproduced below is the text of chapter iv of proclus s commentary on euclid, translated by thomas taylor. Proclus project gutenberg selfpublishing ebooks read. Proclus and the history of geometry as far as euclid proclus diadochus, in his commentary on euclid s elements, relates the history of geometry up to the time of euclid. A commentary on the first book of euclids elements proclus, glenn r. Download proclus commentary on thefirstbookof euclid selements ebook pdf or read online books in pdf, epub, and mobi format. London, printed for the author, 1792 ocolc707954388. Proclus, a commentary on the first book of euclids elements, translated by glenn raymond morrow, princeton university press, 1992. The hymns of orpheus, translated from the original greek, with a preliminary dissertation on the life and theology of orpheus html at. Added a latin translation of proclus commentary on printing pdf pages euclid i.
Reproduced below is the text of chapter iv of procluss commentary on euclid, translated by thomas taylor. Pdf scans of friedleins greek edition, now in the public domain classical greek on the signs of divine possession partial translation of procluss work on the sacred art translation and discussion of this surviving extract from a larger work by proclus. The following extract is taken from his commentary on book i. Proclus and the history of geometry as far as euclid. This edition offers the first new english translation of the work for nearly two centuries, building on significant recent advances in scholarship on. Proclus discusses imagination phantasia in the second prologue to his euclid commentary. Reprintreissue date 2006 original date 1788 series. Proclus on plato cratylus download ebook pdf, epub, tuebl, mobi. Commentary on euclids elements, book i 34 exposition of astronomical hypotheses 35. Commentary on pseudopythagoras golden verses arabic 46 on the harmony of orpheus, pythagoras and plato with the oracles 47 commentary on the whole of homer 48 on the gods of homer 49 frag. Proclus, in his commentary on euclid, observes that geometryliterally, measurement of landfirst arose in surveying practices among the ancient egyptians, for the flooding of the nile compelled them each year to redefine the boundaries of properties. The elements of geometrie of the most auncient philosopher euclide of megara 1570 from the english printing collection in the rare book and special collection division at the library of congress.
January 27, 2011 added the 1880 tehran edition of nasir aldin altusis tahrir of euclids elements. But let us now explain the origin of geometry, as existing in the present age of the world. Proclus commentary on euclids definitions 1,3 and 1,6. Among proclus surviving works we have five commentaries on plato on alcibiades, cratylus, republic, timaeus, and parmenides, one commentary on euclid, two manuals on physics and metaphysics respectively elements of physics, elements of theology, an astronomical work hypotyposis, three monographs tria opuscula on providence, fate. 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 strenght of the euclidean system. Proclus commentary on platos cratylus is the only ancient commentary on this work to have come down to us, and is illuminating in two special ways. Posidonius, ptolemy, proclus and others tried either to prove the postulate from the others or to replace it with another they deemed more satisfactory. A commentary on the first book of euclids elements 9780691020907. The philosophical and mathematical commentaries of proclus. Proclus on euclids elements free ebook download as pdf file. A commentary on the first book of euclids elements. Proclus complete works extant, lost, and spurious systematic philosophical works.
Geometrical first principles in proclus commentary on the. Click download or read online button to proclus commentary onthefirstbookof euclid selements book pdf for free now. First, it is actually the work of two neoplatonists. Proclus also wrote an influential commentary on the first book of euclid s elements of geometry. Murray, penelope 2001 plato on poetry, cambridge university press. The philosophical and mathematical commentaries of proclus on the first book of euclids elements. Printed for the author, 1825, by proclus html with commentary at taylor, thomas, 17581835. Other articles where commentary on euclid is discussed. Buy a discounted paperback of proclus online from australias leading online bookstore. Proclus commentary on platos dialogue timaeus is arguably the most important commentary on a text of plato, offering unparalleled insights into eight centuries of platonic interpretation. Procluss commentary on euclid posted on march 29, 2018 by sara l.
934 1071 1434 328 263 149 111 145 277 1139 290 676 735 844 1034 527 611 696 331 557 566 787 989 558 440 1490 544 12 1495 1143 284 1503 656 232 1104 972 745 1228 859 592 1497 1428 1099 689 1349 22 837