Geometry with Trigonometry

256 Index

diameter, 105
exterior point, 103
interior point, 103
major arc, 114
minor arc, 114
nine-point, 225
non-secant line, 105
radius, 103
secant, 105
tangent, 105
circumcentre, 207
circumcircle, 207
closed half-planes, 27
co-supported angle, 129
coaxal, 119
collinear, 22
common edge, 26
complex ratio, 148
complex-valued distance, 148
concurrent, 22
congruent
triangles, 49
contact point
tangent, 105
convex
polygon, 76
convex polygon
interior, 76
convex quadrilateral, 32
adjacent sides, 32
adjacent vertices, 32
area, 75
diagonal, 32
diagonal line, 32
opposite sides, 32
opposite vertices, 32
perimeter, 32
side, 32
side-line, 32
vertex, 32
convex set, 26
coordinate
Cartesian complex, 145
coordinates

Cartesian, 82

mobile, 208

polar, 133

corresponding angles, 62

cosine rule, 141

cross, 175

Cross-bar theorem, 40

cross-ratio, 166

cyclic quadrilateral, 114

degree-measure

angle, 40

reflex angle, 46

DeMoivre’s theorem, 182

Desargues’ perspective theorem, 199

diagonal

convex quadrilateral, 32

diagonal line

convex quadrilateral, 32

diameter

circle, 105

difference

vectors, 191

difference of angles, 138

direct correspondence

natural orders, 90

disk, 246

distance, 35

complex-valued, 148

sensed, 114

dot product

vectors, 190

drop perpendicular, 57

duo-angle, 169

indicator, 169

null, 169

right, 169

sensed, 175

duo-angles;sum, 171

duo-sector, 168

edge

common, 26

equilateral triangle, 219