The New Geometry: Form One |
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 |
326 | |
Common terms and phrases
AABC ABCD altitude ARST base bisector bisects Calculate the length called centre chord circle common cone congruent Construction containing converse corner corresponding describe diagonals diameter distance divided Draw drawn parallel edge elevation equal equivalent Example EXERCISE external faces facts figure Find four freehand given given point greater half height Hence horizontal inscribed internal intersect length locus mark Measure meet mid-point miles moves Note opposite sides pair parallel parallelogram pass perpendicular plane polygon produced Proof proportional Prove pyramid Pythagoras quadrilateral radii radius ratio rectangle regular respectively result Riders right angles RSTW segment Show sides similar triangles sketch solid sphere square straight line subtends surface tangent THEOREM touch triangle ABC true vertex vertical volume write