The New Geometry: Form One

Front Cover
CUP Archive, 1965 - Geometry - 316 pages
 

Contents

CHAP PAGE I ANGLES AT A POINT PARALLELS ANGLESUM OF TRI ANGLE AND POLYGON
1
CONGRUENT TRIANGLES ISOSCELES TRIANGLES CON STRUCTIONS
13
THE PARALLELOGRAM and MIDPOINT THEOREMS
27
SOLID GEOMETRY I
35
Loci
41
SCALE DRAWING
45
INTRODUCTION TO SIMILAR FIGURES
53
REVISION EXERCISES A
67
REVISION EXERCISES B
147
PART II
154
Loci
155
THE THEOREMS ABOUT PROPORTION AND SIMILAR TRI ANGLES
161
APPLICATIONS OF SIMILAR FIGURES
165
USE OF ALGEBRAICAL IDENTITIES IN GEOMETRY
179
THE EXTENSIONS OF PYTHAGORAS THEOREM
182
SOLID GEOMETRY II
188

AREA
73
THE THEOREM OF PYTHAGORAS
88
CHORDS AND ARCS OF A CIRCLE
99
TANGENTS TO A CIRCLE CIRCLES IN CONTACT
106
ANGLE PROPERTIES OF THE CIRCLE
116
PRODUCT OR RECTANGLE PROPERTIES OF CHORDS
131
CONCYCLIC POINTS
138
CIRCLE CONSTRUCTIONS
143
INEQUALITIES
212
CONVERSE THEOREMS
216
AN INTRODUCTION TO MORE ADVANCED GEOMETRY
218
MISCELLANEOUS
224
REVISION OF THEOREMS
229
SYSTEMATIC COURSE see page xi
233
APPENDIX
301
SOME DEFINITIONS
326

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