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AMAZING TRACES OF A BABYLONIAN ORIGIN IN GREEK MATHEMATICS


CONTENTS

FRONT MATTER
Jöran Friberg
i
Elements II and Babylonian Metric Algebra
Jöran Friberg
1
El. I.47 and the Old Babylonian Diagonal Rule
Jöran Friberg
73
Lemma El. X28/29 1a, Plimpton 322, and Babylonian igi-igi.bi Problems
Jöran Friberg
83
The Lemma El. X32/33 and an OB Geometric Progression
Jöran Friberg
95
Elements X and Babylonian Metric Algebra
Jöran Friberg
101
Elements IV and Old Babylonian Figures Within Figures
Jöran Friberg
123
El. VI.30, XIII.1-12, and Regular Polygons in Babylonian Mathematics
Jöran Friberg
141
El. XIII.13-18 and Regular Polyhedrons in Babylonian Mathematics
Jöran Friberg
171
Elements XII and Pyramids and Cones in Babylonian Mathematics
Jöran Friberg
189
El. I.43-44, El. VI.24-29, Data 57-59, 84-86, and Metric Algebra
Jöran Friberg
211
Euclid's Lost Book On Divisions and Babylonian Striped Figures
Jöran Friberg
235
Hippocrates' Lunes and Babylonian Figures With Curved Boundaries
Jöran Friberg
309
Traces of Babylonian Metric Algebra in the Arithmetica of Diophantus
Jöran Friberg
327
Heron's, Ptolemy's, and Brahmagupta's Area and Diagonal Rules
Jöran Friberg
361
Theon of Smyrna's Side and Diagonal Numbers and Ascending Infinite Chains of Birectangles
Jöran Friberg
373
Greek and Babylonian Square Side Approximations
Jöran Friberg
385
Theodoras of Cyrene's Irrationality Proof and Descending Infinite Chains of Birectangles
Jöran Friberg
405
The Pseudo-Heronic Geometrica
Jöran Friberg
415
BACK MATTER
Jöran Friberg
431
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