简介
Leon Battista Alberti was an outstanding polymath of the fifteenth century, alongside Piero della Francesca and before Leonardo da Vinci. While his contributions to architecture and the visual arts are well known and available in good English editions, and much of his literary and social writings are also available in English, his mathematical works are not well represented in readily available, accessible English editions have remained accessible only to specialists. The four treatises included here - Ludi matematici, De Componendis Cifris, Elementi di pittura and De lunularum quadratura - ar
目录
The Mathematical Works of Leon Battista Alberti 3
Contents 5
Foreword 7
Introduction 11
Alberti\u2019s mathematical works 11
The treatises in the present edition 14
Notes on the translations 16
Acknowledgments 18
Ex ludis rerummathematicarum 19
Notes on the Manuscript and Criteria for the Transcription of Galileana 10 81
Notes on the Translation of Ex ludis rerum mathematicarum 82
Commentary on Ex ludis rerum mathematicarum 84
Introductory remarks 84
Dedication 89
Problem 1 90
Problem 2 91
Problem 3 96
Problem 4 97
Problem 5 98
Problem 6 99
Problem 7 102
Problem 8 103
Problem 9 106
Problem 10 107
Problem 11 108
Problem 12 110
Problem 13 115
Problem 14 126
Problem 15 129
Problem 16 131
Problem 17 135
Problem 18 142
Problem 19 143
Problem 20 145
Concluding remarks 147
Elements of Painting 150
Commentary on Elements of Painting 162
On Writing in Ciphers 178
Commentary on On Writing in Ciphers 196
Chapter I 196
Chapter II 196
Chapter III 200
Chapter XII 201
Chapter XIII 201
Chapter XIII 202
Chapter XIV 203
Chapter XVI 204
Chapter XVII 204
Chapter XVIII 205
Chapter XIX 206
Notes on the Translation of On Writing in Ciphers 207
ON SQUARING THE LUNE 208
On Squaring the Lune鹿 209
Commentary on On Squaring the Lune 215
Bibliography 219
Primary Sources 220
Secondary sources 223
About the authors 227
Contents 5
Foreword 7
Introduction 11
Alberti\u2019s mathematical works 11
The treatises in the present edition 14
Notes on the translations 16
Acknowledgments 18
Ex ludis rerummathematicarum 19
Notes on the Manuscript and Criteria for the Transcription of Galileana 10 81
Notes on the Translation of Ex ludis rerum mathematicarum 82
Commentary on Ex ludis rerum mathematicarum 84
Introductory remarks 84
Dedication 89
Problem 1 90
Problem 2 91
Problem 3 96
Problem 4 97
Problem 5 98
Problem 6 99
Problem 7 102
Problem 8 103
Problem 9 106
Problem 10 107
Problem 11 108
Problem 12 110
Problem 13 115
Problem 14 126
Problem 15 129
Problem 16 131
Problem 17 135
Problem 18 142
Problem 19 143
Problem 20 145
Concluding remarks 147
Elements of Painting 150
Commentary on Elements of Painting 162
On Writing in Ciphers 178
Commentary on On Writing in Ciphers 196
Chapter I 196
Chapter II 196
Chapter III 200
Chapter XII 201
Chapter XIII 201
Chapter XIII 202
Chapter XIV 203
Chapter XVI 204
Chapter XVII 204
Chapter XVIII 205
Chapter XIX 206
Notes on the Translation of On Writing in Ciphers 207
ON SQUARING THE LUNE 208
On Squaring the Lune鹿 209
Commentary on On Squaring the Lune 215
Bibliography 219
Primary Sources 220
Secondary sources 223
About the authors 227
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