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Table of Contents
Intro; Preface; Mathematical notation; Naming conventions; Transcription of letter-names; Contents; Part I Introduction; Introduction; The concept of given in Greek mathematics; Arguments by givens in geometrical analysis; Arguments by givens in metrical analysis; The use of the Data by Greek mathematicians; The purpose of Euclid's Data; Medieval versions of the Data; Thābit ibn Qurra's Restoration of the Data; Al-Nasawī, Ibn al-Salāh and medieval scholarship on the Data; Nasīr al-Dīn al-Tūsī and the Data; Manuscript sources; The Istanbul Manuscript, A; The So-Called Kraus Manuscript, K
Comments to Props. 21, 22: Magnitudes and ratios, IITransition to geometry; Comments to Prop. 23: Proportional lines, I; Comments to Props. 24-30: Known in position; Comments to Props. 31,32: Parallel lines; Comments to Props. 33-36: Parallel lines and ratios; Comments to Props. 37-44: Triangles known in form; Comments to Props. 45-49: Rectilinear figures and their ratios; Comments to Props. 50-53: Rectilinear figures, their ratios, sides and magnitudes; Comments to Prop. 54: Equiangular parallelograms; Comments to Props. 55-58: Application of areas, I
Comments to Props. 59,60: A figure, a parallelogram, and their sidesComments to Props. 61-64: Area relations for triangles; Comments to Props. 65-72: Parallelograms and triangles; Comments to Props. 73-76: Triangles, with additional material; Comments to Props. 77-79: Proportional lines, II; Comments to Props. 80-83: Application of areas, II; Comments to Props. 84-86: Circles, chords and subtending angles; Comments to Props. 87-89: Circles, lines from a point; Comments to Props. 90,91: Circles, rectangles formed by chords and segments of chords
Comments to the alternate versions of Prop. 60 (Data 62)Concordance of Proposition Numbers; Critical Glossary; Cojunctions and logical flow; Bibliography; Ancient and Medieval Mathematical Works Referenced by Title; Medieval Manuscripts; Modern Scholarship; Index of Personal Names; Index of Sources, Titles, and Propositions; Index of Subjects and Terminology
Comments to Props. 21, 22: Magnitudes and ratios, IITransition to geometry; Comments to Prop. 23: Proportional lines, I; Comments to Props. 24-30: Known in position; Comments to Props. 31,32: Parallel lines; Comments to Props. 33-36: Parallel lines and ratios; Comments to Props. 37-44: Triangles known in form; Comments to Props. 45-49: Rectilinear figures and their ratios; Comments to Props. 50-53: Rectilinear figures, their ratios, sides and magnitudes; Comments to Prop. 54: Equiangular parallelograms; Comments to Props. 55-58: Application of areas, I
Comments to Props. 59,60: A figure, a parallelogram, and their sidesComments to Props. 61-64: Area relations for triangles; Comments to Props. 65-72: Parallelograms and triangles; Comments to Props. 73-76: Triangles, with additional material; Comments to Props. 77-79: Proportional lines, II; Comments to Props. 80-83: Application of areas, II; Comments to Props. 84-86: Circles, chords and subtending angles; Comments to Props. 87-89: Circles, lines from a point; Comments to Props. 90,91: Circles, rectangles formed by chords and segments of chords
Comments to the alternate versions of Prop. 60 (Data 62)Concordance of Proposition Numbers; Critical Glossary; Cojunctions and logical flow; Bibliography; Ancient and Medieval Mathematical Works Referenced by Title; Medieval Manuscripts; Modern Scholarship; Index of Personal Names; Index of Sources, Titles, and Propositions; Index of Subjects and Terminology