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Greenhill A.G. — The applications of elliptic functions
Greenhill A.G. — The applications of elliptic functions

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Название: The applications of elliptic functions

Автор: Greenhill A.G.

Аннотация:

This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1892

Количество страниц: 377

Добавлена в каталог: 02.10.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abel      4 18 145 223 277
Abel's theorem      166 249
Abel's theorem, pseudo-elliptic integrals      228
Abelian functions      175
Addition theorem for elliptic functions      113 117
Addition theorem for elliptic functions, of second kind      178 180 193 226
Addition theorem for elliptic functions, of third kind      193 224
Addition theorem of circular and hyperbolic functions      112
Addition theorem, algebraical form of      142
Addition theorem, Theta function      192
Allegret      147
Amplitude      278 289
Amplitude of elliptic integral      4
Amplitude, hyperbolic      15
Anharmonic ratio, of four points      53 57
Anomaly, mean, of a planet      14
Apsidal angle      260 340
Argand      46
Argument      191
Ballistic pendulum, Navez      3 12
Bartholomew Price      3
Basset      288
Basset's Hydrodynamics      219 342
Bertrand      9
Biermann      77 151
Binet      213
Bjerknes      22
Boys      97
Bravais      340
Brioschi      275
Burnside and Panton      148 150
Burnside, W.      38 107 172 209
Capacity, coefficients of electric      287
Capillary attraction      89
Cartesian ovals      257 262
Cartesian ovals, confocal orthogonal      255
Cassinian oval, area of      189
Cassinian oval, rectification of      164
Catenaries      76 92
Catenaries of uniform strength      92
Catenoid      95 98
Cauchy's residue      206
Cayley      56 62 139 142 160 280 311 327
Central orbits      76
Chain, revolving      67 210
Chasles      178
Chevallier      335
Chrystal      66 277
Circular functions, trigonometrical      6
Clifford      17 30 284 295
Complementary modulus      9
Conductivity, thermometric      285
Confocal, ellipses and hyperbolas      184 255
Confocal, paraboloids      273
Confocal, quadric surfaces      271
Cotes's spirals      75 190
Cotes's spirals, theorems      289 325
Cubic substitution      41
Cubicovariant      158
Cubinvariant      62
Cycloidal oscillation      7
Cycloids      190
Darboux      221 236 255
De Moivre's theorem      288
De Sparre      233
Delambre      137
Descriminant      44 48 158
Despeyrous      236
Discriminating cubic      154
Doubly periodic function      208 254 299
Duplication formulas      120
Durege      117 227
Dynamical problem      74
Elastica      87 190
Elastica, tortuous      213
Electrification of two insulated spheres      287
Electrode      278
Ellipse, rolling      71
Ellipse, rolling, first negative pedal of      73
Elliptic functions, addition theorem      142
Elliptic functions, complex multiplication of      12 203 330
Elliptic functions, double periodicity of      254
Elliptic functions, geometrical applications to spherical trigonometry      131
Elliptic functions, multiplication of      329
Elliptic functions, reciprocal modulus      24
Elliptic functions, resolution of, into factors and series      277
Elliptic integral of first kind      4 22 30
Elliptic integral of second kind      64 175 209
Elliptic integral of third kind      108 175 191 206 302
Elliptic integral, complete      8
Elliptic integral, definition of      5
Elliptic integral, degenerate      41 57
Elliptic integral, factor of third kind      226
Elliptic integral, general      200
Elliptic integral, graphs of      66
Elliptic integral, half period of      13
Elliptic integral, inversion of      30
Elliptic integral, modulus complementary      9
Elliptic integral, normalised      203
Elliptic integral, quarter period of      8 321
Elliptic integral, quarter period, complementary      9
Elliptic integral, Tables of      10 11 16 177
Elliptic integral, Weierstrass's defined      42
Enneper      61 326
Epitrochoid      190
Eta function      194 282
Euler      142 251
Euler's addition equation      144 166
Euler's addition equation, constant      281
Euler's addition equation, equations of motion      18 101
Euler's addition equation, pendulum      198
Fagnano's theorems      182
Forsyth      298
FOURIER      66
Fourier, series      285 287
Fricke      155
Fundamenta Nova      310
Fuss      121
Gauss      137 322
Gebbia      220
Genocchi's theorem      264
Geodesics      95
Glaisher      17 33 62 116 133 194
Governor, Watt's      78
Graphs of elliptic integrals      66
Graves      178
Gudermann      5 32 90
Gudermannian      14
Half period, imaginary      44 50
Half period, imaginary, real      43 50
Halphen      128 130 206 217 276 342
Hammond      256 294
Harmonic motion      13
Heat, conduction of      284
Helicoid      95
Helix      20
hermite      150 158 208 215 276 335
Herpolhode      101 107 207 231
Herpolhode, algebraical      228
Herpolhode, points of inflexion      233
hess      233
hessian      62 149 156
Hicks      288 351
Hill      291
Hobson      277 280 330
Holzmueller      257
Homogeneity      203 247 270
Homogeneous variables      155
Hooke's law      94
Hoyer      237
Huygens      6
Hyperbolic amplitude      15
Hyperbolic amplitude, functions      15
Hyperelliptic function      175
Hyperelliptic function, integral      168 309
Hypotrochoid      190
Icosahedron form      156
Imaginary period      254
Induction, electric coefficient      287
Inflexion, points of, on herpolhodes      233
Integrals, circular and hyperbolic      30
Integrals, hyperelliptic      160
Integrals, poles of      45 53
Invariants      43 62 143
Invariants, absolute      45 49 143
jacobi      5 139 160 284
Jacobi's notation      18 50
Jenkins      84 131
Jochmann      278
Kaleidoscope      293
Kepler's problem      14
Kiepert      331
Kirchoff      87 344
Kirchoff's kinetic analogue      214
Kleiber      190
Klein      35 151 271
kronecker      146
Kummell      136
Lagrange      131 340
Lambert's series      287
Lame's differential equations      210 216 275
Lame's differential equations, parameters      272 274
Landen's point      23 117
Landen's point, second transformation      120 320
Landen's point, transformation      55 60 186 322
Lecornu      212
legendre      4 18 64 131 323
Legendre's relation      164 178
Lemniscate      199
Lemniscate, rectification of      33
Limacon      190
Linear substitution      143
Linear substitution, transformations      163 316
Lintearia      87
Lodge      15 278 293
Love      293
MacCullogh      179 220
MacMahon      147 295
Mannheim      221
Maxwell      79 89 272 287
Mean anomaly      14
Mercator's chart      17
Mercator's chart, Sumner lines      89
Meridional part      17
Michell      292
Minding      121
Modular angle      4
Modular angle, equation of third order      323
Modular angle, equations      323 327
Modulus of elliptic integral      4
Modulus of elliptic integral, change from, and its reciprocal      24
Modulus of elliptic integral, complementary      9
Modulus of elliptic integral, singular      331
Morgan Jenkins      84 131
Motion of a body in infinite liquid under no forces      219 342
Motion of a projectile, resisting medium      65
Motion of electricity or fluid      266
Motion, mean, of a planet      14
Motion, Poinsot's geometrical representation      101
Motion, solutions of Euler's equations of      28 101
Mueller      314
Napier      137
Nodoid      95 98
Norm      278
Octahedron form      157
Octahedron form, irrationality      317
Orbits, central      76
Oscillations of pendulums, bell, etc.      3
Oscillations, cycloidal      7
Oscillations, quadrantal      103
Oscillations, rectilinear      25
Oscillations, vertical, of a carriage or ship      82
PARAMETER      191 207
Pendulum      1
Pendulum, Euler's      198
Pendulum, Navez, ballistic      3 12
Pendulum, performing complete revolutions      18
Pendulum, period of      8
Pendulum, reaction of axis of suspension      82
Pendulum, simple equivalent      3
Pendulum, speed of      3
Pendulum, spherical      214
Period, parallelogram      46
Period, rectangle      270
Poinsot      233
Poinsot's geometrical representation of motion      101
Poles of integral      255
Polhode      101
Polhode, separating      230
Poristic polygons, Poncelet's      121
Poristic polygons, Poncelet's, heptagons      130
Poristic polygons, Poncelet's, pentagons      128
Poristic polygons, Poncelet's, quadrilaterals      126
Poristic polygons, Poncelet's, triangles      124
Poundal      1
Price      3 79
Pringsheim      160
Projectile, trajectory of, for cubic law of resistance      244
Pseudo-elliptic      242 347
Pseudo-elliptic, integrals, Abel's      228 300
Quadrantal oscillations      103
Quadri-quadric function      148
Quadric surfaces, confocal      271
Quadric surfaces, transformations      35 321
Quadrinvariant      62
Radian      1
Real half period      43
Reciprocant      294
Reduction, formula of      63
Reversion of series      202
Revolving chain      67 210
Richelot      121 164
Riemann      312
Riemann, differential relation      316
Roberts      162 165 199
Robertson Smith      291
Rocking stone      198
Rolling and sliding cone      108
Routh      3 28 101 217 238
Russel      62 149 151 158 327
Salmon      149 157 162 178 222
Schwarz      26 46 157 298
Sextic covariant      150 157 163 321
Siacci      220
Sigma function      201
simple harmonic motion      13
Simpson      9
Slade      233
smith      27 222
Spherical pendulum      214
Spherical trigonometry      169
Spherical trigonometry, geometrical application of elliptic functions to      131
Spinning top      214
Spiral, Cotes's      75
Steiner      121
Substitution, linear      143
Sumner lines on Mercator's chart      89
Surface, special minimum      26
Swinging body, internal stresses of      84
Sylvester      221 294
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