TABLE OF CONTENTS xi 



CHAPTER VIII 



. PAGE 



HINDU AND ARABIAN SCIENCE. THE MOORS IN SPAIN . . . 156 



Alexandria Hindu Mathematics Hindu Astronomy 

 Mohammed and the Hegira Arabian Mathematical Science 



Arabian Astronomy Asiatic Observatories The Moors in 

 Spain. 



CHAPTER IX 

 PROGRESS OF SCIENCE TO 1450 A.D. ....... 172 



The Crusades Trivium and Quadrivium ; Scholasticism 

 Medieval Universities Transmission of Science through - 

 Moorish Spain Dawn of the Renaissance Mathematical 

 Science in the Thirteenth Century Roger Bacon Dante 

 Alighieri Computation in the Middle Ages Mathematics 

 in the Medieval Universities The Renaissance Humanism 



Alchemy The Mariner's Compass Clocks Wool and - 

 Silk ; Textiles in the Middle Ages The Invention of Printing. 



CHAPTER X 



A NEW ASTRONOMY AND THE BEGINNINGS OP MODERN NATURAL 



SCIENCE ............ 191 



The Age of Discovery The Reformation Pioneers of the 

 New Astronomy Conditions Necessary for Progress Nico- 

 laus Copernicus De Revolutionibus Influence of Copernicus 



Tycho Brahe Uraniborg Kepler Galileo Medical and 

 Chemical Sciences Anatomy: Vesalius Revival of Interest 

 in Natural History. 



CHAPTER XI 



PROGRESS OF MATHEMATICS AND MECHANICS IN THE SIXTEENTH 



CENTURY . . . ... . . . . . .230 



Aims and Tendencies of Mathematical Progress Pacioli 

 Geometry in Art Robert Recorde Algebraic Equations of 

 Higher Degree Tartaglia, Cardan Symbolic Algebra : Vieta 



Development of Trigonometry Map-making The Grego- 

 rian Calendar A New Invention for Computation "Two 

 New Branches of Science " A Pioneer in Mechanics ; Stevinus 



Giordano Bruno. 



CHAPTER XII 



NATURAL AND PHYSICAL SCIENCE IN THE SEVENTEENTH CENTURY 255 



The Circulation of the Blood : Harvey Atmospheric Pres- 

 sure; Torricelli's Barometer Further Studies of the Atmos- 



