The New Geometry: Form OneCUP Archive, 1965 - 316 σελίδες |
Περιεχόμενα
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 |
APPENDIX | 301 |
326 | |
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC altitude angles are equal ARST AXYZ base Calculate the length chord circle of radius circumcentre circumcircle common tangent concyclic concyclic points cone congruent triangles Construction CONVERSE OF TH cut AC cuts ST cuts the circle cyclic quadrilateral diagonals diameter distance divided drawn parallel edge equiangular equidistant equilateral triangle EXERCISE exterior angle figure Find the area Find the length fixed point geometry given circle given line given point given straight line height Hence horizontal hypotenuse inscribed internal bisector isosceles triangle line joining locus Measure mid-point middle point obtuse opposite angles opposite sides parallelogram perpendicular bisector plane polygon PQRS produced pyramid Pythagoras quadrilateral ABCD radii ratio rectangle regular polygon rhombus Riders right angles RSTW segment Show similar triangles sine rule sphere square subtends tangent tetrahedron THEOREM trapezium triangle ABC vertex vertical XYZW