Geometrical solutions derived from mechanics, a treatise of Archimedes, recently discovered and tr. from the Greek
44 Pages
English
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Geometrical solutions derived from mechanics, a treatise of Archimedes, recently discovered and tr. from the Greek

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44 Pages
English

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METRICAL SOLUTIONSDERIVED FROMMECHANICSTREATISE BV ARCHIMEDESRECENTLY DISCOVERED AND TRANSLATED FROM THE GREEK BYDR. L. HEIBERGJ.CHICAGOE OPEN COURT PUBLISHING COMPANYLONDON AGENTSKEGAN PAUL, TRENCH, TRUBNER & LTD.CO.,GEOMETRICAL SOLUTIONSDERIVED FROMMECHANICSA TREATISE OF ARCHIMEDESRECENTLY DISCOVERED AND TRANSLATED FROM THE GREEK BYDR. L. HEIBERGJ.PROFESSOR OF CLASSICAL PHILOLOGY AT THE UNIVERSITY OF COPENHAGENWITH AN INTRODUCTION BYDAVID EUGENE SMITHPRESIDENT OF TEACHER S COLUMBIACOLLEGE, UNIVERSITY, NEW YORKENGLISH VERSION TRANSLATED FROM THE GERMAN BY LYDIA G. ROBINSONAND REPRINTED FROM "THE MONIST," APRIL, 1909.CHICAGOTHE OPEN COURT PUBLISHING COMPANYLONDON AGENTSKEGAN TRUBNER & LTD.PAUL, TRENCH, CO.,1909VCOPYRIGHT BYTHE OPEN COURT PUBLISHING Co.1909INTRODUCTION.there ever was a case of inappropriateness discovery,IFthe of this in the summer ofmanuscriptfinding 1906was one. In the first it thatwas the displace appropriateshould be made in itsince was herecovery Constantinople,that theWest received its first of the other exmanuscriptstant innine of the It wasworks, number, great Syracusan.furthermore that the should be madeappropriate discoveryProfessor all workersby facilis princepsHeiberg, amongin the field of the classics of Greek mathematics,editingand an searcher of the libraries ofindefatigable Europefor to aid him in his labors. Andmanuscripts perfectingit was most thisthat work shouldfinally ...

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METRICAL SOLUTIONS DERIVED FROM MECHANICS TREATISE BV ARCHIMEDES RECENTLY DISCOVERED AND TRANSLATED FROM THE GREEK BY DR. L. HEIBERGJ. CHICAGO E OPEN COURT PUBLISHING COMPANY LONDON AGENTS KEGAN PAUL, TRENCH, TRUBNER & LTD.CO., GEOMETRICAL SOLUTIONS DERIVED FROM MECHANICS A TREATISE OF ARCHIMEDES RECENTLY DISCOVERED AND TRANSLATED FROM THE GREEK BY DR. L. HEIBERGJ. PROFESSOR OF CLASSICAL PHILOLOGY AT THE UNIVERSITY OF COPENHAGEN WITH AN INTRODUCTION BY DAVID EUGENE SMITH PRESIDENT OF TEACHER S COLUMBIACOLLEGE, UNIVERSITY, NEW YORK ENGLISH VERSION TRANSLATED FROM THE GERMAN BY LYDIA G. ROBINSON AND REPRINTED FROM "THE MONIST," APRIL, 1909. CHICAGO THE OPEN COURT PUBLISHING COMPANY LONDON AGENTS KEGAN TRUBNER & LTD.PAUL, TRENCH, CO., 1909 V COPYRIGHT BY THE OPEN COURT PUBLISHING Co. 1909 INTRODUCTION. there ever was a case of inappropriateness discovery, IFthe of this in the summer ofmanuscriptfinding 1906 was one. In the first it thatwas the displace appropriate should be made in itsince was herecovery Constantinople, that theWest received its first of the other exmanuscripts tant innine of the It wasworks, number, great Syracusan. furthermore that the should be madeappropriate discovery Professor all workersby facilis princepsHeiberg, among in the field of the classics of Greek mathematics,editing and an searcher of the libraries ofindefatigable Europe for to aid him in his labors. Andmanuscripts perfecting it was most thisthat work shouldfinally appropriate ap at a time affiliation ofwhen the andpear pure applied mathematics is so all overbecoming generally recognized the inworld. We are sometimes led to feel, considering isolated that the contributors of the havecases, great past inworked the field of mathematics and thealone,pure of Plutarch that Archimedes felt that kindsaying "every 1 of art connected with needs was anddaily ignoble vulgar" have this It therefore assistsmay strengthened feeling. us in ourselves to read another treatproperly orientating ise from the mathematician of that setsantiquitygreatest before us his indebtedness to the mechanicalclearly appli cations of his subject. inNot the least of the the manu-interesting passages 1 Marcellus, 17. 009*76 f 2 GEOMETRICAL SOLUTIONS DERIVED FROM MECHANICS. is the first the to Eratosthenes. It isline,script greeting well on the of Diodoros hisknown, testimony countryman, that Archimedes studied in the latter freandAlexandria, makes mention of Konon of Samos whom he knewquently as a and to whom he indebtedwasthere, teacher,probably for the of the that hisbears name. It issuggestion spiral also this time that Eratosthenes was arelated, Proclos,by of and if the of soArchimedes,contemporary testimony alate writer as who lived in the twelfthTzetzes, century, be taken as the former was eleven themay valid, years of the Sicilian. Until we havenow, however,junior great had definite to show that the two were ever acnothing The Alexandrian savant,quainted. great poet, geog called the stuarithmetician,rapher, affectionately by 2 dents the in five selectedPentathlos, champion sports, by histo succeed Kallimachos themaster,Ptolemy Euergetes as head of the this the mostpoet, great Library, man, renowned of his time in could haveAlexandria, hardly been a teacher of nor the fellow student ofArchimedes, yet one who was so much his senior. It is more thatprobable were friends in the later when Archimedes wasthey days received as a savant rather than as a and this islearner, borne out the statement at the close of Iby proposition which refers to one of his earlier that thisworks, showing treatise was a late one. This referenceparticular being 3 to one of the two works dedicated to Dositheos of Kolonos, and one of these lineis anto(De spiralibus) referring 4 earlier treatise sent to we are led to believe thatKonon, this was one of the latest of thatworks Archimedes and a friend of hisEratosthenes was mature years, although 8 nickname of hisHis Beta is well because lecture roomknown, possibly 2.was number 8We little of his of which are extant. Geminos andknow noneworks, refer to certain observations made him in 200 B. twelvePtolemy by C, years after the death of Archimedes. also mentions him.Pliny