Archimedes in the Middle Ages. III. The Fate of the Medieval by Marshall Clagett

By Marshall Clagett

Show description

Read or Download Archimedes in the Middle Ages. III. The Fate of the Medieval Archimedes. Part iv PDF

Best medieval books

Studies in Medievalism IX (1997): Medievalism and the Academy, I (Vol 1)

Medievalism, the "continuing technique of developing the center ages", engenders formal medieval stories from a large choice of renowned pursuits within the heart a while. This quantity consequently explores the typical flooring among inventive and well known buildings of the center a while and the research of the center a long time in the academy.

Wisdom in Loose Form. The Language of Egyptian and Greek Proverbs in Collections of the Hellenistic and Roman Periods (Mnemosyne Supplements)

Drawing on proverbs and proverb-like sentences present in historical Egyptian and Greek knowledge collections, this e-book deals an unique perception into the literary construction of those Mediterranean civilizations, evaluating their demeanour of conveying undying knowledge and reconsidering the prestige in their cultural touch.

Phädon, or On the Immortality of the Soul

Patricia Noble, trans.

This is the 1st sleek translation of Moses Mendelssohn’s vintage paintings of 1767, the Phädon. It comprises Mendelssohn’s personal advent and appendix, in addition to footnotes and explanatory advent via David Shavin. (Charles Cullen’s translation of 1789 is the single different extant translation. ) The «modern Socrates» of the German classical interval, Mendelssohn has created a gorgeous translation and elaboration of Plato’s Phädo ended in a revolution in idea, and a next renaissance in Germany. The debt of the German classical interval to historical Greece is embodied in Mendelssohn’s Phädon, as is the promise of the yankee Revolution. the interpretation and accompanying notes recapture Mendelssohn’s particular marriage of intensity of suggestion and breadth of allure.

Additional info for Archimedes in the Middle Ages. III. The Fate of the Medieval Archimedes. Part iv

Example text

P Prop. 2: A I------ 1 C I------ 1 E__ B Prop. 4: (occurs only in a, p and M ): The diagrams do not go with any of the fragments proposed to fill the lacuna at Prop. 4, and they contain extra letters (V, T, X) not required in the text for any of the 8 proofs of the De ponderibus Archimendis. The large number of letters appearing here that are common to the incomplete proof of Prop. 8 suggest the possibility of the original existence of some proof similar to that of the eighth proposition. P L I Variant readings: A .

Quare per 27 et 28 primi D I , F E sunt equidistantes et equales, et ideo E I, D F equales. / Similiter et E I , I P , quia a centro. Ergo I P , D F equales. 70 Igitur additur equalibus, scilicet F O addita ipsi DE, et D I addita/E; que quidem F O , D I sunt equales, quia F O equalis EE cum a centro, et F E , D I equales, ut visum est. Ergo exeunt D P ,D O equales; a quibus equalibus amotis, scilicet D N , D A , quia utraque semidyameter, restant Q P , N O equales. Cadit ergo maxima cathetus lunule hexagone intra trigonam.

P / enim G: NB E d d l-2 157 B: H pM / E in C: E et C b CE E d d l-2 / L: AL u / C2: E b E d d l-2 / post C2 add. Ed3 Et quia quod fit ex E in C et ex D in C est tanquam quod fit ex F in E, ergo quod fit ex F in E aequum est ei quod fit ex C in A cum eo quod fit ex D in B. 158-65 Si . . mixti om. p 158 8 mg. I 2, om. abpM Ed3 propositio 8a mg. E ddl-2 1 mg. 0 2 / post equalia add. b magnitudine / duorum I 159 mixtum om. E ddl-2 160 utrisque E d d l-2 I genere . . simplicium om. I / genere: grave M Ed3 1305 1306 DE PONDERIBUS ARCHIMENIDIS ARCHIMEDES IN THE MIDDLE AGES 165 170 175 180 UNUM GRAVIUS RELIQUO ERIT PARTIS MIXTI QUE IN IPSO EST DE GENERE GRAVIORIS AD PARTEM QUE IN IPSO EST DE GENERE LEVIORIS PROPORTIO TANQUAM PROPORTIO DIFFERENTIE PONDERIS MIXTI AD PONDUS LEVIORIS AD DIFFERENTIAM PONDERIS GRAVIORIS AD PONDUS MIXTI.

Download PDF sample

Rated 4.34 of 5 – based on 16 votes