Simon Stevin - Dijksterhuis, E. J.

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Résumé :
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Sommaire:
I. Stevins' Life.- II. Mathematics.- Sixteenth-Century Mathematics.- Stevin's Mathematical Work.- 1. De Thiende.- 2. Tables of Interest.- 3. Arithmetic and Algebra.- 3.1 Introduction.- 3.2 Geometrical Numbers.- 3.3 Algebraic Numbers.- 3.4 Equations.- 3.5 The Quadratic Equation.- 3.6 The Cubic Equation.- 3.7 Negative Roots.- 3.8 The Equation of the Fourth Degree.- 3.9 The Rule Algebra.- 3.10 New Methods.- 3.11 The Translation of Diophantus's Algebra.- 3.12 The Practice of Arithmetic.- 3.13 The Doctrine of Ratios.- 3.14 Theory of Irrational Quantities.- 4. Geometry.- 4.1 Introduction.- 4.2 Geometrical Problems.- 4.3 Geometrical Instruments.- 4.4 Trigonometry.- 4.5 Construction of an Ellipse.- 4.6 Didactics.- 4.7 Semi-Regular Polyhedra.- 4.8 Augmented Polyhedra.- 4.9 Perspective.- III. Mechanics.- 1. Introduction.- 2. Aristotelean and Archimedean Mechanics.- 3. Stevin's Criticism of the Principle of Virtual Displacements.- 4. The Art of Weighing (De Weeghconst).- 4.1 Definitions and Postulates. The Theory of the Lever.- 4.2 The Wreath of Spheres (Clootcrans).- 4.3 Oblique Forces.- 4.4 Three Forces in Equilibrium.- 4.5 Centres of Gravity.- 5. The Practice of Weighing (Weeghdaet).- 5.1 Resistances.- 5.2 An Experiment on Falling Bodies.- 5.3 Instruments and Machines.- 5.4 The Pressure of the Bridle (Toomprang).- IV. Hydrostatics.- 1. Introduction.- 2. The Archimedean Principle.- 3. The Force Exerted on the Bottom.- 4. The Force Exerted on the Walls.- 5. The Problem of the Diver.- 6. On Floating Top-Heaviness (Vlietende Topswaerheyt).- 7. Summary.- V. Astronomy.- 1. Introduction.- 2. The Heavenly Motions (Hemelloop).- 3. Stevin's Method.- 4. The Plan of the Work.- 5. Copernican Astronomy.- 6. Theological Opposition.- 7. The Nova Zembla Phenomenon.- 8. The Tides.- VI. Navigation.- 1. Introduction.- 2. The Sailings (Zeylstreken).- 3. Great-Circle Sailing.- 4. Loxodromic Sailing.- 5. The Haven-Finding Art (Havenvinding).- 5.1 Introduction.- 5.2 The Memoir of Plancius.- 5.3 Stevin's Method of Haven-Finding.- VII. Technology.- 1. Introduction.- 2. Mills.- 2.1 Introduction.- 2.2 The Mechanism of a Water-Mill.- 2.3 Theory of the Mill.- 2.4 Stevin on Mills (Van de Molens).- 3. Sluices and Locks.- 3.1 Various Kinds of Sluices.- 3.2 The Swivel-Gate Lock.- 4. Hydraulic Engineering.- 5. Geomorphology.- 6. The Sailing Chariot.- VIII. Military Science.- A. Fortification.- B. The Marking out of Army Camps (Castrametatio).- IX. Architecture.- 1. Introduction.- 2. Town-Planning.- 3. House-Building.- X. Double-Entry Book-Keeping.- 1. Introduction.- 2. Mercantile Book-Keeping.- 3. Princely Book-Keeping.- XI. Music.- XII. Civic Matters.- A. The Citizen.- B. The Prince.- XIII. Stevin and the Dutch Language.- XIV. Stevin's Personality.- XV. Stevin's Works.