TABLE OF CONTENTS 



PAGE 



Rational Medicine : Hippocrates of Cos The Sophists Hip- 

 pias of Elis The Criticism of Zeno Circle Measurement : 

 Antiphon and Bryson, Hippocrates of Chios Plato and the 

 Academy The Analytic Method Platonic Cosmology 

 Archytas Mensechmus : Conic Sections A New Cosmology : 

 Eudoxus Aristotle Aristotle's Mechanics Aristotelian 

 Astronomy Theophrastus Epicurus and Epicureanism 

 Heraclides : Rotation of the Earth. 



CHAPTER V 



GREEK SCIENCE IN ALEXANDRIA . . 87 



The Museum at Alexandria Euclid Euclid's Elements 



Influence of Euclid .Criticism of Euclid Other Works of 

 Euclid Archimedes Archimedes and Euclid Circle Meas- 

 urement Quadrature of the Parabola Spirals Sphere and 

 Cylinder Mechanics of Archimedes Archimedes as an En- 

 gineer Alexandrian Geography ; Earth Measurement Era- 

 tosthenes Apollonius of Perga Apollonius and Archimedes 

 Medical Science at Alexandria ; Beginnings of Human Anatomy. . 



CHAPTER VI 



THE DECLINE OP ALEXANDRIAN SCIENCE 115 



Orbital Motion of the Earth : Aristarchus Excentric Cir- 

 cular Orbits Epicycles Hipparchus : Star Catalogue Pre- 

 cession of the Equinoxes Other Astronomical Discoveries ; 

 Planetary Theory Invention of Trigonometry Inventions : 

 Ctesibus and Hero Hero's Triangle Formula Inductive 

 Arithmetic: Nicomachus Ptolemy and the Ptolemaic Sys- 

 tem The Almagest Other Works of Ptolemy Pappus 

 Beginnings of Algebra : Diophantus Conclusion and Retrospect. 



CHAPTER VII 

 THE ROMAN WORLD. THE DARK AGES . . , . T .. 141 



The Roman World-Empire The Roman Attitude towards 

 Science Roman Engineering and Architecture Slave Labor 

 in Antiquity Julius Caesar and the Julian Calendar Vitru- 

 vius on Architecture Frontinus on the Waterworks of Rome 



Roman Natural Science and Medicine Lucretius Strabo 



Pliny the Elder Galen Late Roman Mathematical Sci- 

 ence Capella Boethius Science and the Early Christian 

 Church The Eastern Empire ; Edict of Justinian The Dark 

 Ages The Establishment of Schools by Charlemagne. 



