Kells L.M. — Plane and Spherical Trigonometry :: Электронная библиотека попечительского совета мехмата МГУ

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Kells L.M. — Plane and Spherical Trigonometry

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Название: Plane and Spherical Trigonometry

Автор: Kells L.M.

Аннотация:

Kells L M et al. - Plane and Spherical Trigonometry (2nd Ed.)(McGraw-Hill 1940)(529s).djvu

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd edition

Год издания: 1940

Количество страниц: 529

Добавлена в каталог: 28.10.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Abscissa      50
Accuracy, of computation      18 67 243
Accuracy, of five-place tables      68 79
Addition formulas      120 125
Altitude      331
Ambiguous case, plane triangle      156
Ambiguous case, right spherical triangles      281
Amplitude      114 203 334
angle      48
Angle of depression      72
Angle of elevation      72
Angle, defined as rotation of ray      48
Angle, subtended by a line      72
Antilogarithm      226
Arc length      96
Area, of oblique triangles      155 164 169 172
Area, of regular polygons      93
Area, of right triangles      27
Astronomical triangle      330
axes      50
Axis, of earth      322
Axis, of imaginaries      202
Axis, of reals      202
Azimuth      331
Celestial equator      328
Celestial meridian      329
Celestial Pole      328
Celestial sphere      328
Central angle of a circle      96
Characteristic      221
Characteristic, rules for determining      222 223
Circle, great      269
Circle, unit      106
Circle, vertical      330
Circular arc, length of      96
Clausen's formula      188
Co-function      29
Cologarithm      229
complex numbers      201
Complex numbers, conjugate      201
Complex numbers, exponential forms of      211
Complex numbers, geometrical representation of      202
Complex numbers, multiplication of      201 205
Complex numbers, operations involving      201
Complex numbers, polar form of      203
Complex numbers, powers and roots of      208
Complex numbers, pure imaginary      200
Complex numbers, quotient of      201 206
Computation, suggestion for      231
Conversion formulas      133 134
Coordinates, rectangular      49
Cosecant, defined      10 52
Cosine, defined      6 52
Cosines, law of, for plane triangles      146
Cosines, law of, for spherical triangles, angles of      293
Cosines, law of, sides of      291
Cotangent, defined      10 52
Course      73 323
Coversed sine, defined      10
Culmination      342
Declination      330
Degree      48 265
Delambre's analogies      302
DeMoivre's theorem      208
Departure      73
Depression, angle of      72
Difference in latitude      73
Distance      53 73 323
Double solution, spherical triangle      304 343
Double-angle formulas      129
Ecliptic      337
Elements of a triangle      70
Elevation, angle of      72
Equator      322
Equinoctial      328
Equinox, autumnal      338
Equinox, vernal      338
Euler, Leonard      212
Exponents, laws of      216
Folded scales      247
Forms, directions for making      230
Forms, used in the solution of oblique triangles      153
Formulas for half-angles      129 164
Formulas for half-angles of spherical triangles      295
Formulas, addition      120 125
Formulas, conversion      133 134
Formulas, double angles      129
Function      5
Functions of $90° - \theta$       99
Functions of k $90° \pm \theta$       104
Functions, hyperbolic      212
Functions, inverse      177
Functions, natural      16 69
Functions, of $90° + \theta$ , $270° + \theta$ , $180° \pm \theta$ , $-\theta$       101
Functions, reciprocal      9 28
Gauss' equations      302
Grade      97
Graphs, of $log_{10} x$       237
Graphs, of inverse functions      178 179
Graphs, of trigonometric functions      106—114
Greenwich, meridian of      323
Half line      48
Half-angle formulas      129 104
Half-angle formulas of spherical trigonometry      295
Haversine solution      315
Haversine, defined      10
Heron's formula      169
Horizon      329
Horizon, points of      329
Hour angle      330
Hour circle      329
Hyperbolic functions      212
Identity, defined      30
Identity, fundamental      28 29 32 58
Identity, method of verifying      34
imaginary numbers      200
Interpolation      225
Inverse functions      177
Inverse functions, equations involving      185 195
Inverse functions, general value of      180
Inverse functions, graphs of      178 179

Inverse functions, principal value of      182
Inverse functions, relations among      184
Latitude      322
Latitude to find      343
Length of circular arc      96
Line of sight      72
Line values      40
Logarithms in computation      227 230 231
Logarithms, antilogarithms      226
Logarithms, change of base in      235
Logarithms, characteristic of      221 222 223
Logarithms, common      221
Logarithms, defined      217
Logarithms, forms for      153
Logarithms, laws of      218
Logarithms, mantissa of      221 224
longitude      323
Machin's formula      188
Magnitude, order of      290 305
Mantissa      221 224
Meridian      322
Meridian altitude      341
Meridian, prime      323
MIL      97 351
Minute      48
Modulus      203
Mollweide's equations      144
nadir      329
Napier's analogies      300
Napier's rules      274
Nautical mile      96
Oblique spherical triangles      269
Oblique triangles      152
Order of magnitude      290 305
Ordinate      50
Parts of triangle      70
Parts, circular      274
Period      113
Polar form      203
Polar triangles      282
Pole, north      322
Pole, south      322
Prime Meridian      323
Prime vertical      330
Primitive circle      358
Primitive Plane      358
Principal values      182
Proportion principle      241 249
Proportional parts      225
Pure imaginary numbers      200
Pythagorean Theorem      32
Pythagorean theorem, relations derived from      32 38
Quadrantal triangles      284
Quadrants      50
Quadrants, rule for      277 278
Radian      94 265
Range finder      354
ratio      3 4 5
Ray      48
Reciprocal functions      9 28
Rectilinear figures      20 40 42 85
Right ascension      338
Right spherical triangles      271
Right spherical triangles, formulas relating to      271
Right spherical triangles, Napier's rules for      274
Right spherical triangles, solution of      278
Right triangles, directions for solving      71
Roots, cube      255
Roots, square      253
Rotation, positive and negative      48
Saint Hilaire, method of      332
Secant, defined      10 52
Second, defined      48
Sidereal time      338
Sine, defined      6 52
Sines, law of, for plane triangles      140 260
Sines, law of, for spherical triangles      289
Slide rule      241
Slide rule, body      243
Slide rule, hairline      244
Slide rule, indicator      244
Slide rule, scale      241
Slide rule, slide      243
Solid geometry, propositions from      270
Spherical triangles      269
Stereographic projections      358
Subtraction formulas      122 125
Tables, of common logarithms      224
Tables, of natural functions      15 16 68 69
Tables, of trigonometric functions      79
Tangent, defined      5 52
Tangents, law of      144
Terrestrial triangle      323
Time sight      340
Time, local apparent      338
Time, mean solar      338
Time, sidereal      338
Transit      342
Triangle by slide rule      259—265
Triangle, area of      27 155 164 169 172
Triangle, astronomical      330
Triangle, elements of      70
Triangle, oblique      152
Triangle, plane, cases of      152 153 156 161 167
Triangle, right      17 70
Triangle, right spherical      271 278
Triangle, solution of      70 76 78 82
Triangle, spherical      269
Triangle, spherical, cases of      295 298 303 304 309 312 315 316 319
Triangle, terrestrial      323
Trigonometric equations      189 192
Trigonometric functions of 45°, 30°, 60°, 0°, 90°      12
Trigonometric functions, defined as ratios      6 10
Trigonometric functions, definitions of      6 10 52
Trigonometric functions, expressed in terms of one      38
Trigonometric functions, inverse      177
Trigonometric functions, table of values of      16 69 79
Tyler, John      348
Unit circle      106
Versed sine      10
Zenith      329

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