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 OF 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 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. 



