Plane And Solid Geometry Textbook Pdf

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Table of Content of Plane And Solid Geometry Textbook Pdf

PLANE GEOMETRY

PAGE

SYMBOLS AND ABBREVIATIONS viii

INTRODUCTION 1

BOOK I. RECTILINEAR FIGURES 19

Necessity for Proof 21

Polygons. Triangles 22

Superposition 25

Measurement of Distances by Means of Triangles …

32

Loci 42

Parallel Lines 65

Quadrilaterals. Parallelograms 84

Concurrent Line Theorems 100

Construction of Triangles 106

Directions for the Solution of Exercises 110

Miscellaneous Exercises Ill

BOOK II. THE CIRCLE 113

Two Circles .

131

Measurement 133

Miscellaneous Exercises 156

BOOK III. PROPORTION AND SIMILAR FIGURES . .

161

Similar Polygons 176

Drawing to Scale 188

Miscellaneous Exercises 206

BOOK IV. AREAS OF POLYGONS 209

Transformation of Figures 223

Miscellaneous Exercises . . . . ….

239

BOOK V. REGULAR POLYGONS. MEASUREMENT OF THE

CIRCLE 245

Measurement of the Circumference and of the Circle . .

258

Miscellaneous Exercises 274

FORMULAS OF PLANE GEOMETRY . . . . .282

APPENDIX TO PLANE GEOMETRY 284

Maxima and Minima 284

Variables and Limits. Theorems 291

Miscellaneous Theorems …….. 294-298

SOLID GEOMETRY

BOOK VI. LINES, PLANES, AND ANGLES IN SPACE ……….299

Lines and Planes .. .301

Dihedral Angles . 322

Polyhedral Angles. .. .336

BOOK VII. POLYHEDRONS . . … . .343

Prisms 345

Pyramids 350

Mensuration of the Prism and Pyramid 354

Areas 354

Volumes . . 358

Miscellaneous Exercises 381

BOOK VIII. CYLINDERS AND CONES 383

Cylinders 383

Cones ” 388

Mensuration of the Cylinder and Cone 392

Areas 392

Volumes 406

Miscellaneous Exercises 414

BOOK IX. THE SPHERE 417

Lines and Planes Tangent to a Sphere 424

SphericalPolygons 429

Mensuration of the Sphere 444

Areas . . ,

444

Volumes 457

Miscellaneous Exercises on Solid Geometry ….

467

FORMULAS OF SOLID GEOMETRY . . . .

.471

APPENDIX TO SOLID GEOMETRY 474

SphericalSegments 474

The Prismatoid 475

Similar Polyhedrons 477

.INDEX 481

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