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

INDEX.

28l

PAGE
Cyclic................. 56
Cylinder, altitude of..... 208
bases of............. 208
circular............... 208
elements of.......... 208
lateral area........... 209
oblique............. 208
right................. 208
right section of....... 208
truncated......... 208, 209
volume of............ 208
Dase................... 13
Data............... 264
Degree of angle......... 132
of arc............... 132
Deltoid............... 40
Determination.......... 262
Determine.............. 2
Diagonal of polygon..... o
Diameter of circle....... 49
of sphere............. 194
spherical............ 234
Dihedral............... 249
Distributive............ 9
Division............... g
external.............. oo
internal.............. 00
Dodecahedron.......... I64
Dual............ 3, 158
Duality, principle of.. 31, i58

PAGE
Exterior angles..........33
of angle.............. 17
point............... I
Euclid............. 113, 259
Euclid's postulate....... 35
Euler................... 64
Face.................. 248
Faces of polyhedron..... 163
of tetrahedron... 1.... I63
Figure................ 29
plane............... 29
Foot of perpendicular.... I42
Frustum, area of....... 207
of cone............ 207
of pyramid........... I85
volume of............ 208
Gauss................. 274
Geodesic............... 212
Geometric elements......
Geometry..............
Golden section......... 10o3
Graphics............... 64
Great circle............. 194
Greater angle......... 73
are.........S...... 8
sect................. 73
Harmonic division....... Io
range............... o10
Heron................. 26
Hexahedron............ 164
H ilbert................ iii
Hindoo............ 130
Hippocrates of Chios.... 135
Historical note on..... I30
Hypothenuse.........38,75
Icoshahedron............ 64
In-center............... 7
-radius............... 70
of tetrahedron....... 98
Inclination of hemiplanes I55
of straight to plane.... I 5
Inscribed angle......... 55
polygon............... 274
sphere................ 98
Instruments............ 63
Intercept............... 79
Interior angles.......... 33
of angle.............. 17
point............. ii

Edges of angloid.......
of polyhedron........
Element of cone........
of cylinder..........
Elements, the geometric.
End-points.............
Equal.................
polyhedrons.........
sects...........
Equilateral triangle......
Equivalence........ I09,
Equivalent.............
by completion......
Escribed circle.........
Ex-center.............
-radius..............
Excess, spherical.......
Explemental.........
Exterior angle.........

248
163
205
208
I
214
88
I84
88
123
242
o109
I09
70
70
70
243
78
96