Analytic geometry, by L. Wayland Dowling and F. E. Turneaure.

264

INDEX

D
Damped vibrations, 87.
Descartes, 10.
Determinant, 26.
form of equation, 59, 216.
Determination of functional correspondence, 33.
Diameter of conic, 123.
Diodes, 170.
Directed segments, 8.
angles, 8.
Direction cosines, 200.
Director circle, 114.
Directrices of conics, 107.
Directrix of a parabola, 66.
Discriminant, 150.
Discussion of an equation, 77.
Distance between two points, 20, 199.
of a point from a line, 104.
of a point from a plane, 217.
Duplication of cube, 170.
E
Eccentricity, of ellipse, 62.
of hyperbola, 65.
Ellipse, 60.
Ellipsoid, 230.
of revolution, 210.
Elliptic paraboloid, 234.
Empirical equations, 182.
Epicycloid, 177.
Equations of a line, 58, 221.
of first degree, 98.
of a plane, 213-216.
of second degree, 107, 229.
of higher degree, 169.
of tangents, 111.
Equilateral hyperbola, 135.
Exponential curve, 44.
F
Foci of an ellipse, 61.
of an hyperbola, 64.
of a cassinian oval, 68.
Focus of a parabola, 66.
Folium of Descartes, 84.

Four-cusped hypocycloid, 177.
Function, 33.
algebraic, 41.
inverse, 45.
transcendental, 41.
G
General equation of second degree,
145.
Graph of exponential function, 44.
Graphic representation, 34.
Graphs, 34.
geometric construction of, 34, 42,
44, 47.
of inverse functions, 46.
of transcendental functions, 41.
H
Harmonic range, 131.
Helix, 246.
Hyperbola, 63.
Hyperbolic paraboloid, 235.
Hyperboloid, 231, 233.
Hypocycloid, 175.
Intercept form, 58, 215.
Intercepts, 38.
Intersecting lines, 99.
planes, 223.
Inverse functions, 45.
Involute of a circle, 180.
L
Latus rectum, 63, 66, 67.
Law, 53.
Lemniscate, 68.
Length of a segment, 20, 199.
Limacon, 172.
Limiting cases of conics, 143, 155.
of quadric surfaces, 236-237.
Line, perpendicular to a plane, 226.
through a point, 101.
through two points, 57.