A treatise on plane and advanced trigonometry 平面与高等三角

This account of the theory of the circular functions and their appli-cations to plane trigonometry will provide invaluable assistance to tudents of mathematics who intend to proceed further in the study of analysis. Other students, too, will benefit from the depth with which the more elementary parts of the subject are treated.
Starting with the measurement of angular magnitude and of lines,the text proceeds to discussions of circular functions, including those of two or more angles and of submultiple angles; various the-orems; the expansion of functions of multiple angles; and relations be...

  CHAPTER I THE MEASUREMENT OF ANGULAR MAGNITUDE
CHAPTER II THE MEASUREMENT OF LINES PROJECTIONS
CHAPTER III THE CIRCULAR FUNCTIONS
CHAPTER IV THE CIRCULAR FUNCTIONS OF TWO OR MORE ANGLES
CHAPTER V THE CIRCULAR FUNCTIONS OF SUBMULTIPLE ANGLES
CHAPTER VI VARIOUS THEOREMS
CHAPTER VII EXPANSION OF FUNCITONS OF MULTIPLE ANGLES
CHAPTER VIII RELATIONS BETWEEN THE CIRCULAR FUNCTIONS AND THE CIRCULAR MEASURE OF AN ANGLE
CHAPTER IX TRIGONOMETRICAL TABLES
CHAPTER X RELATIONS BETWEEN THE SIDES AND ANGLES OF A TRIANGLE
CHAPTER XI THE SOLUTION OF TRIANGLES
CHAPTER XII PROPERTIES OF TRIANGLES AND QUADRILATERALS
CHAPTER XIII COMPLEX NUMBENS
CHAPTER XIV THE THEORY OF INFINITE SERIES
CHAPTER XV THE EXPONENTIAL FUNCTION LOGARITHMS
CHAPTER XVI THE HYPERBOLIC FUNCTIONS
CHAPTER XVII INFINITE PRODUCTS
CHAPTER XVIII CONTINUED FRACTIONS

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