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chapter:
INTRODUCTION
CHAPTER I: THE ZODIAC AND THE PLANETS
CHAPTER II: THE PHASES OF THE MOON
CHAPTER III: THE COURSE OF THE SUN THROUGH THE TWELVE SIGNS
CHAPTER IV: THE NORTHERN CONSTELLATIONS
CHAPTER V: THE SOUTHERN CONSTELLATIONS
CHAPTER VI: ASTROLOGY AND WEATHER PROGNOSTICS
CHAPTER VII: THE ANALEMMA AND ITS APPLICATIONS
CHAPTER VIII: SUNDIALS AND WATER CLOCKS
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Table of Contents:
BOOK I
BOOK II
BOOK III
BOOK IV
BOOK V
BOOK VI
BOOK VII
BOOK IX
5. Therefore, since this is inexplicable by arithmetic, let a diagonal line be drawn from angle to angle of that square of ten feet in length and width, dividing it into two triangles of equal size, each fifty feet in area. Taking this diagonal line as the length, describe another square. Thus we shall have in the larger square four triangles of the same size and the same number of feet as the two of fifty feet each which were formed by the diagonal line in the smaller square. In this way Plato demonstrated the doubling by means of lines, as the figure appended at the bottom of the page will show.
Vitruvius: The Ten Books on Architecture. Vitruvius. Morris Hicky Morgan. Cambridge: Harvard University Press. London: Humphrey Milford. Oxford University Press. 1914.
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