COVER; HALF-TITLE; TITLE; COPYRIGHT; DEDICATION; CONTENTS; ACKNOWLEDGMENTS; INTRODUCTION; 1 goal of the translation; 2 preliminary notes: conventions; 2.1 Some special conventions of Greek mathematics; 2.2 Special conventions adopted in this translation; 2.3 Purpose and practices of the critical edition of diagrams; 3 preliminary notes: archimedes ́works; 3.1 Archimedes and his works; 3.2 The text of Archimedes; 3.3 The two books On the Sphere and the Cylinder; TRANSLATION AND COMMENTARY; ON THE SPHERE AND THE CYLINDER, BOOK I; /Introduction: general/; textual comments; general comments.
متن يادداشت
Introduction: the genreArchimedes' audience: conon and dositheus; /"Axiomatic" introduction/; /Definitions/; /Postulates/; textual comments; general comments; Definitions 1-4; Postulates 1-2: about what?; Unpacking Postulate 2; Unpacking Postulate 3; The overall structure of Definitions 1-4, Postulates 1-4; Postulate 5; /1/; textual comments; general comments; The use of the diagram; The use of the axiomatic introduction; Generality of the proof; /2/; textual comments; general comments; Existence and realism; Shortcuts used in exposition.
متن يادداشت
Schematic nature and the intended generality of the diagram/3/; textual comments; general comments; The scholiast's regress; /4/; textual comments; general comments; Repetition of text, and virtual mathematical actions; /5/; textual comments; general comments; Impatience revealed in exposition; /6/; textual comments; general comments; Lack of pedagogic concerns; Meta-mathematical interests displayed in the text; /7/; textual comments; general comments; Equality and identity; The "grounds" for a claim; /8/; textual comments; general comments.
متن يادداشت
The extent to which words are allowed to shiftThe operation of "imagination"; A tendency to abbreviate; /Sequel to sequence 9-12/; textual and general comments; /13/; textual comments; general comments; Equalities and inequalities; Arguments based on division of logical space; Relations between parts of text; Some notes on operations with ratios; /14/; textual comments; general comments; Different layers of imagination; /15/; textual comments; general comments; Reference to Proposition 14; /16/; textual comments; general comments; The phenomenon of arguments that are left implicit.
متن يادداشت
The significance of different ways of naming objectsGenerality and the use of letters referring to the diagram; /9/; textual comments; general comments; Bifurcating structure of proof; Ambiguities and their implication for the author/audience attitude; /10/; textual comments; general comments; What is the sequence of actions inside a construction?; The role of the axiomatic discussion; /11/; textual comments; general comments; The significance of different ways of using letters; Operations on phrases as a tool for argumentation; /12/; textual comments; general comments.
بدون عنوان
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بدون عنوان
8
بدون عنوان
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بدون عنوان
8
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This is Volume 1 of the first authoritative translation of Archimedes' works into English. Also provided are a scientific edition of the diagrams, a translation of the ancient commentator Eutocius and a commentary, where attention is paid to the cognitive and aesthetic nature of Archimedes' mathematical practice.
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عنوان
Works of Archimedes : Volume 1, Two Books On the Sphere and the Cylinder:Translation and Commentary.
شماره استاندارد بين المللي کتاب و موسيقي
9780521661607
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Geometry, Early works to 1800.
موضوع مستند نشده
Mathematics, Greek.
موضوع مستند نشده
Mechanics, Early works to 1800.
موضوع مستند نشده
Geometry.
موضوع مستند نشده
Mathematics, Greek.
موضوع مستند نشده
Mechanics.
رده بندی ديویی
شماره
510
رده بندی کنگره
شماره رده
QA
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )