Index 725Arithmetico-geometric mean, 343
Astroid (see Hypocycloids, of four
cusps)
Asymptotes, 135
of hyperbolas, 381
Asymptotic cone, 407
Attraction (see Gravitational
attraction)
Average rate, 176
Average value (see glean value)
Average velocity, 178
Axes, 2, 10, 59
change of, in E2, 107, 392-402
in Es, 101
rotation of, 107, 394-402
of symmetry, 37
translation of, 392-394
Axioms, 9, 34, 313, 343-344
Bachelor's guide, 41
Bands of Mobius, 676
Base e (see Exponential base e)
Beam, strongest cut from log, 301
taken around corner, 444
Bending upward, downward, 305
Bernoulli functions, 231-233, 312,
613-614,640-651'
generating function of, 650-651
Bernoulli numbers, 232, 617, 641-
651
Bessel inequality, 612
Beta integral, 228, 456, 476, 521,
686-687
Binary bits, 340
Binomial coefficients, 139-140,
647-650
Binomial formula, 140, 634-635
Binomial series, 634-635
Binormal to curve, 436
Black box, 121
Boldface, 43, 49
Boom-and-bust processes, 322
Bouncing ball, 598Bound (s), 212, 314-315, 323, 344,Boundary, 293, 551
Boundary conditions, 208
Bounded function, 212
Bounded variation, 352-335
Bracket symbol, 227
Bumblebee flights, 150, 177-179,
409, 540
Burington tables, 206
Byerly calculus textbook of 1879,
201, 720Calculus (slippery word), 224
Calories (of heat), 149, 200-201
Cams, 186
Canonical printer's error, 27
Cardioid, 531, 544, 549
Carpenter's number system, 343
Catenary, 435, 510
Cauchy sequences, 598-599
Cavalieri theorem, 283
Center, of curvature, 429
of gravity (see Centroids)
of symmetry, 37
Central conics, 368, 390-392
Central forces, 545
Centroids, 23, 54, 121, 261, 271,
273, 679-680, 699
Cesaro value of series, 342
Chain rule, 165-166, 564-565,
575, 578
Change, of coordinates, 101, 107,
349-402
of variables, 221-223, 469-479
Change of order, of differentiation,
557-559
of integration, 664, 669, 696
Characteristic of logarithm, 485
Circle(s), 25, 29
of curvature, 429
Circumcircle of triangle, 21-23
Cissoid (of Diocles), 256, 535-536