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 Absolute convergence      220 Acceleration      92 Approximate formulas      237 Archimedes, spiral of      274 Area, center of      408 Area, moment of      408 Areas of plane curves, polar coordinates      370 406 Areas of plane curves, rectangular coordinates      365 402 Areas of surfaces      381 413 Asymptotes      249 Auxiliary equation      434 Bending      113 Binomial differentials      340 Binomial theorem      1 99 Cardioid      273 Catenary      272 Cauchy's ratio test      218 Center, of area      408 Center, of gravity      409 Change of variables      148 Circle of curvature      178 Cissoid      271 Computation by series of 235 Computation by series of e      233 Computation by series of logarithms      235 Concave down      126 Concave up      126 Conchoid of Nicomedes      272 Conditional convergence      221 Cone      2 Conjugate points      260 Constant      8 Constant of integration      307 Constant, absolute      8 Constant, arbitrary      8 Constant, numerical      8 Continuity of functions      14 Convergency      214 Coordinates of center of curvature      178 Cosine curve      237 Critical values      110 Cubical parabola      271 Curvature, center of      178 Curvature, circle of      178 Curvature, definition      155 Curvature, radius of      155 Curve tracing      128 Curves in space      262 Cusp      259 Cycloid      82 272 Cylinder      2 Decreasing function      106 Definite integration      314 Degree of differential equation      426 Derivative of arc      134 Derivative, definition      27 Differential coefficient      27 Differential equations      421 Differential of an area      314 Differentials      141 Differentiation      29 Differentiation of constant      36 Differentiation of exponentials      48 Differentiation of function of a function      44 Differentiation of implicit function      69 Differentiation of inverse circular functions      61 Differentiation of inverse function      45 Differentiation of logarithm Double point      256 Envelopes      205 Equiangular spiral      274 Evolute of a curve      182 Expansion of functions      227 Exponential curve      275 Family of curves      205 Fluid pressure      388 Fluxions      25 Folium of Descartes      273 Formulas for reference      1 Function, continuity of      14 Function, definition      7 Function, graph of      16 Function, implicit      69 Function, increasing, decreasing      106 Function, inverse      45 Function, many-valued      17 Function of a function Gravity, center of      409 Greek alphabet      3 Helix      263 Homogeneous differential equation      426 Hyperbolic spiral      274 Hypocycloid      273 Increasing functions      106 Increments      25 Indeterminate forms      170 Infinitesimal      13 132 infinity      13 Inflection      125 Integral curves      446 Integral curves, definition      314 Integral curves, indefinite      281 Integraph      443 Integration, by parts      347 Integration, by rational fractions      325 Integration, by rationalization      335 Integration, by transformation      343 Integration, definition      279 Integration, mechanical      443 Interpolation      237 Involute      187 Laplace      25 Leibnitz      32 Leibnitz formula      99 Lemniscate      272 Length of curves      375 Limacon      274 Limit, interchange of      320 Limit of a variable Limit, theory of      11 Linear differential equation      427 Lituus      274 Logarithmic curve      275 Logarithmic curve, spiral      274 Logarithms, Briggs's      237 Logarithms, common      237 Logarithms, Napierian      237 Maclaurin's Theorem and Series      230 Maxima and minima      103 Mean value, extended theorem of      166 Mean value, theorem of      165 Mechanical integration      443 Moment of area      408 Moment of inertia      410 Multiple roots      69 Natural logarithms      4 Newton      25 Node      258 normal      76 Normal line      266 Normal plane      262 Order of differential equations      426 Ordinary point      255 Osculation      259 Osgood      215 parabola      277 Parabola, cubic      271 Parabola, semicubical      271 Parabola, spiral      275 Parabolic rule      449 PARAMETER      6 205 Parametric equations      79 Partial derivatives      191 Partial derivatives, integration      393 Pierpont      245 Planimeter, polar      446 Points, conjugate      260 Points, end      260 Points, isolated      260 Points of inflection Points, salient      260 Points, singular      255 Points, turning      108 Polar planimeter      446 Pressure, fluid      388 Probability curve      275 Quadratic equation      1 Radius of curvature      159 Rates      141 Rational fractions      325 Reciprocal spiral      274 Reduction formulas      350 Rolle's theorem      164 Secant curve      275 Semicubical parabola      271 Series, alternating      220 Series, arithmetical      1 Series, convergent      214 Series, divergent      214 Series, geometrical      1 Series, infinite      213 Series, nonconvergent      214 Series, oscillating      215 Series, power      223 Signs of trigonometric functions      3 Simpson's rule      449 Sine curve      273 Singular points      255 Slope of curve      73 Solution of differential equations      422 Sphere      2 Stirling      230 Strophoid      274 Subnormal      77 Subtangent      77 Successive differentiation      97 Successive integration      393 Surface, area of      381 413 Tangent curve      275 Tangent line to surface      264 Tangent plane      264 Tangent, to plane curves      76 Tangent, to space curves      262 Taylor's Series, Theorem      228 Test, comparison      217 Total differentiation      194 Trajectory, orthogonal      308 Trapezoidal rule      448 Triple integration      417 Variable, definition      6 Variable, dependent      7 Variable, independent      7 Velocity      90 Volumes of solids      377 417 Witch of Agnesi      271 Work      389 Реклама     © Электронная библиотека 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