Calculus: Analytic Geometry and Calculus, with Vectors

Index 733

Nine-point circle, 23
Nondifferentiable functions, 162
Nonintegrable function, 215
Nonmeasurable sets, 237, 721-723
Norm JPj of partition, 212, 668
Normal lines, 17, 78, 290
Normal to surface, 567
Normal vectors, 52, 78
Null set, 223
Number systems, 143-144
Numbering systems, 3, 47
Numerical integration (see Simpson
approximation to integral)
Numerical tables, end papers

Octant, 60

Odd function, 118

One-sided (see Unilateral limits)

Open interval a < x < b, 5

Operators, 96, 112, 114

commutative, 556

Orbit, of earth, 373

of planets, 551

Order, of differentiation, 556-559

of integration, 664, 669, 696

Ordered pairs, 113

Orientation of simplex, 97

Origin, 2, 10

Orthocenter, 20-23

Orthogonal vectors, 52, 60

Orthonormal sets of functions, 456,

611-613, 616-619

Orthonormal vectors, 60, 74

Osculating circle (see Circle, of

curvature)

Output (element of range), 75, 114,

122

Ovals of Cassini, 538

Pappus, trisection of angles, 389

Pappus theorem, 247

Parabolas, 27, 31, 40, 240, 354-361,

363, 399

Parabolic reflectors, 358

Parabolic type, 390, 396

Paraboloids, 62, 247, 406, 425

Parallel axis theorem, 681

Parallel lines, 16

Parallelogram law, 50

Parameters, 66, 72, 179, 574

Parametric equations, 66, 72, 179

Partial derivatives, 553-586

Partial differential equations, 559-

560

Partial fractions, 511-518

Partial sums of series, 335, 587

Particle concentrated at point, 75

Particle sliding on curve, 191, 425

Partition, Dedekind, 313

of interval, 212, 344, 410, 706

of sets in E2, 668, 706

of sets in E3, 695, 706

Partition number, 313

Pascal triangle (binomial coeffi-

cient), 140

Pendulum problem, 198-199

Percentage of error, 197

Periodic functions, 613

Perpendicular lines, 16, 76

Perspective triangles, 110

Perversity of inanimate matter,

229

Phase angle of sinusoid, 39

Pi (zr), decimal approximations, 2,

468

Picture, angles subtended by, 465-

466

Piecewise continuous, 348

Piecewise monotone, 347

Plane(s), 78-87

Plane geometry puzzlers, 110

Planimeter, 277

Point-direction equations of lines in

E3, 70

Point-slope equation of line, 12