Geometry with Trigonometry

Index 259

degree-measure, 46
reflex-angle, 30
region
exterior, 30
interior, 29
right duo-angle, 169
right-angle, 44
rotation, 150
rule
cosine, 141
sine, 141

SAS principle, 50
scalar product
vectors, 190
secant
circle, 105
segment, 23
sensed distance, 114
sensed duo-angle, 175
sensed product, 116
sensed ratio, 116
sensed-angle, 153
sensed-area
triangle, 156
set
convex, 26
side
convex quadrilateral, 32
triangle, 31
side- line
convex quadrilateral, 32
side-line
triangle, 31
similar triangles, 68
sine rule, 141
slope, 149
space
vector, 188
square, 78
SSS principle, 53
standard position;angles, 134
standard position;duo-angles, 170
Steiner-Lehmus theorem, 142

straight angle- support, 29

straight-angle, 30

subtraction

vectors, 191

subtraction of angles, 138

sum

angles, 135

vectors, 188

sum of duo-angles, 171

supplementary angles, 41

support

angle, 30

symmedian point, 235

symmedians, 235

tangent

circle, 105

contact point, 105

theorem

Ceva’s, 196

Cross-bar, 40

DeMoivre’s, 182

Desargues’ perspective, 199

Feuerbach’s, 229

Menelaus’, 195

Miquel’s, 232

Napoleon’s, 219

Pappus’, 201

Pascal’s, 177

Ptolemy’s, 167

Pythagoras’, 69

Steiner-Lehmus, 142

translation, 121

triangle, 31

area, 73

equilateral, 219

isosceles, 51

sensed-area, 156

side, 31

side-line, 31

triangle inequality, 55

triangles

congruent, 49

similar, 68