Rational geometry; : a text-book for the science of space; based on Hilbert's foundations, / by George Bruce Halsted.

284

INDEX.

PAGE
Similar............... 98
polygons............. 105
Similarity.............. 267
Simson.............. 264
Size of angle............. 13
Skew................... 6 I
Slant height of cone...... 205
Small circle............. 197
Solution of problems... 262
Sphere................ 194
area of............... 20I
center of............. 94
circumscribed......... 198
diameter of........... 194
great circle of......... 94
inscribed............ 198
radius of............. 194
small circle of......... 97
tangent.............. 95
volume of............ 201
Spherical angle......... I99
center.............. 246
chord................ 234
excess............... 243
polygon.............. 216
radius.............. 234
segm ent.............. 20I
tangent.............. 235
triangle.............. 217
Spherics............... 212
Square................ 42
Steradian............... 252
Steregon............... 252
Straight................ 29
edge................. 63
Straights............. I
Straightest............ 212
Successive substitutions.. 263
Sum of angles......... 94
of arcs............ 92
of sects.......... 88, 237
Summits.............. 163
Supplement......... 27, 223
Supplemental sects..... 229
Surface................ 163
Symbols............... vii
Symmetry.......... 39,266
Symmetrical points..... 39
Symtra...........4..... 4
Talmud.............. 130
Tanchord angle.......... 6

PAGE
Tangent....... 57, 235
circles............... 84
Tangent, plane.......... 195
spheres............. I95
straight.......... 57,195
straightest........... 235
Tetrahedral........... 249
Tetrahedron........... 163
circumcenter of...... 98
edges of.............. 163
faces of.............. 163
summits of........... 163
volume of............ 67
Theorem............... 3
of Archimedes...... 209
of Bordage.......... 245
of Brahmegupta.... 72, 245
of Euler.............. 164
of Heron............ 26
of Hippocrates of Chios. I35
of Joachimsthal....... 246
of Lexell............. 241
of Moore............. 253
of Pappus............ 135
of Pascal............ 87
of Ptolemy........... I05
of Pythagoras........ 2
Top of prismatoid. 184
of segment........... 202
Trace................. 90
Translation.......... 94,265
Transversal............ 33
partition......... 15, I67
plane................ 67
Trapezoid.............. 42
Triangle.............. 11
altitudes of........... 46
angle bisectors of...... 70
angle of........... 18,219
area of.............. II5
base of............... 46
equilateral........... 123
isosceles........... 28, 224
medians of.......... 40
polar.............. 23
right...............37, 75
spherical............ 2I7
Triangles, congruent... 19
similar............ 98
symmetric........... 222
Trihedral............ 249