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INTRODUCTION 1

GENERAL TERMS 1

GEOMETRIC CONCUPTS 3

ANGLES 7

AXIOMS 11

SYMBOLS AND ABBREVIATIONS 13

PLANE GEOMETRY 15

BOOK Ⅰ．RECTILINEAR FIGURES 15

STRAIGHT LINES 15

PARALLEL LINES 20

TRIANGLES 30

QUADRILATERALS 53

POLYGONS IN GENERAL 62

REVIEW QUESTIONS 67

ANALYSIS OF THEOREMS 69

BOOK Ⅱ．THE CIRCLE 78

THE CIRCLE 78

MEASUREMENT 91

THEORY OP LIMITS 91

MEASURE OF AFGLES 94

CONSTRUCTIONS 110

ANALYSIS OF PROBLEMS 125

LOCI 126

REVIEW QUESTIONS 132

BOOK Ⅲ．PROPORTION AND SIMILAR POLYGONS 141

THEORY OF PROPORTION 141

SIMILAR POLYGONS 154

NUMERICAL PROPERTIES OF FIGURES 164

CONSTRUCTIONS 184

BOOK Ⅳ．AREAS OP POLYGONS 192

AREAS OF POLYGONS 192

COMPARISON OF POLYGONS 199

CONSTRUCTIONS 216

BOOK Ⅴ．REGULAR POLYGONS 225

REGULAR POLYGONS 225

CONSTRUCTIONS 239

MAXIMA AND MINIMA 254

SYMMETRY 262

FORMULAS OF MENSURATION 266

SOLID GEOMETRY 268

BOOK Ⅵ．STRAIGHT LINES AND PLANES 268

STRAIGRT LINES AND PLANES 268

DIEDRAL ANGLES 284

POLYEDRAL ANGLES 296

BOOK Ⅶ．POLYEDRONS，CYLINDERS，AND CONES 303

POLYEDRONS 303

PRISMS AND PARALLELOPIPEDS 304

PYRAMIDS 321

SIMILAR POLYEDRONS 338

REGULAR POLYEDRONS 342

CYLINDERS 344

CONES 353

BOOK Ⅷ．THE SPHERE 365

THE SPHERE 365

SPHERICAL ANGLES 374

SPHERICAL POLYGONS 375

POLAR TRIANGLES 379

SYMMETRICAL SPHERICAL POLYGONS 382

SPHERICAL SURFACES 392

SPHERICAL VOLUMES 400

FORMULAS OF MENSURATION 411

INDEX 413