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Fenn R. — Geometry

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Название: Geometry

Автор: Fenn R.

Аннотация:

Intended to introduce readers to the major geometrical topics taught at undergraduate level in a manner that is both accessible and rigorous, the author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2007

Количество страниц: 325

Добавлена в каталог: 11.12.2011

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

Предметный указатель

$b^{2} - 4ac$ quadratic discriminant      40
$I_{A}, I_{B}, I_{C}$ outcentres      86
$r, \theta$ polar coordinates of a point in the plane      44
$re^{i\theta}$ polar form of a complex number      105
$r_{A}, r_{B}, r_{C}$ radii of outcircles      89
$S^{1}$ unit circle      104
$S^{2}$ unit sphere      253
$S^{n}$ n dimensional unit sphere      254
$\alpha$ true anomaly      233
$\alpha, \beta, \gamma$ typically internal angles of a triangle      67
$\angle$ XOY angle between the lines OX and OY      53
$\bar{A}$ conjugate of an octonion      296
$\bar{Q}$ conjugate of a quaternion      289
$\bar{Z}$ complex conjugate      101
$\begin{vmatrix} a_{1} & a_{2} & a_{3} \\ b_{1} & b_{2} & b_{3} \end{vmatrix} = [a_{2}b_{3} - a_{3}b_{2}, a_{3}b_{1} - a_{1}b_{3}, a_{1}b_{2} - a_{2}b_{1}]$       186
$\beta$ eccentric anomaly      233
$\hat{P}$ point with unit modulus      139
$\hat{\alpha}, \hat{\beta}, \hat{\gamma}$ external angles of a triangle      67
$\in$ obliquity      275
$\infty$ infinity for $\mathbb{C}$       111
$\infty$ infinity for $\mathbb{R}$       16
$\lambda extreme latitude      269
$\lambda$ eigenvalue      157 202 224 245
$\mathbb{C}$ set of complex numbers      100
$\mathbb{C}^{+}$ extended complex plane      111
$\mathbb{E}$ euclidean plane      185
$\mathbb{N}$ set of natural numbers      2
$\mathbb{Q}$ set of rational numbers      13
$\mathbb{R}$ set of real numbers      15
$\mathbb{R}^{n}$ euclidean space of dimension n      30
$\mathbb{Z}$ set of integers      10
$\mathbb{Z}_{2}P^{2}$ Fano plane      207 295
$\overrightarrow{PQ}$ vector from P to Q      32
$\phi$ latitude      260
$\psi$ length of geodesic      255
$\rho, \theta, \phi$ spherical polar coordinates of a point in space      140
$\tau$ golden ratio      21
$\theta$ argument of complex number      104
$\theta$ longitude      260
$\Upsilon$ first point of Aries      276
$\varepsilon$ eccentricity      225
$\varepsilon$ equator      261
$\varphi$ a plane      151
(AB,CD) cross ratio      120 190
A line      54
A major axis of ellipse or planet's orbit      232
A $\bigwedge$ B projectivity      195
A $\bigwedge^{P}$ B perspectivity      195
A $\times$ B vector or cross product      142 291
A, b, c sides of a triangle      88
A, B, C,... points in some euclidean space      30
a,b,c,... real numbers      217
A= [A] etc, points in projective plane      184
Abel      133
Absolute      41
Acute-angled      68
Adams      300
Adjacent angles      43 65
Affine      38 108
Alberti, L.B.      206
ALT altitude      273
Alternate and corresponding angles      66
Altitude      84 273
angle      40 - 42
Angle bisector      79
Angle trisector      94
Angular separation      270
Antarctic circle      275
Antipode      253
Apex      167 193 212
Aphelion      232
Apostrophus      3
Arabs      2
Archimedes      63 67 170
Arctic and Antarctic circles      261
Arctic circle      275
Area      48 260
Area of a circle      50
Area of a lune      258
Area of a triangle      48
Area of the ellipse      218
Area of the parallelogram      50 144
Area of the triangle      144
Argument      104
Aristarchus of Samos      271
Associative      101
Associativity      5 34 299
Associator      299
Astronomical unit      235 270
Asymptote      31 220
Asymptotic surface      242
Autumnal equinox      275
Auxiliary circle      217 233
Axis      193 212 218
Az azimuth      273
Azimuth      273
Babylonians      2
Barycentre      84
Base      167
based      32
Basis      35 139 144
Bible      20
BINARY      2
Borromean rings      174
Bosse, A.      188
Bott      300
Brahe, T.      232
Branches      219
Calculus      3 30
calendar      274
Cardano      99
Cartesian coordinates      137
Cassegrain focus      231
Casus irreducibilis      132
Cauchy - Schwarz      39
Cayley, A.      295
Celestial equator      273
Celestial sphere      270
Centre      78
Centre of gravity      84
Centre of inversion      115
Centroid      83
Chinese      6
Chord      78
Cipher      9
circle      19 78 107 212 215
Circular measure      43
Circumcentre      83
circumcircle      83
Circumference of a circle      18
Circumpolar      273
Civil      274
Codimension      37
Collinear      43
Commutative      101
Commutativity      34
Commutator      292
Compass bearings      264
Complex conjugation      101
Complex number      99 100
Compound      5
concurrent      67
Cone      167 212
configurations      54
Configurations of lines      151
conformal      114
Congruences      33
Congruences and similarities      73
Conic sections      211
Constant bearing      267

Continued fraction      13
contour      238
Convex hull      37
Coordinate axes      138
coordinates      29
Copernicus      231
Cosine      88
Cosine rule      257
Coxeter group      160
Cramer      51
Cross product      142
Cross ratio      120 190
cube      7 170
Cubic and biquadratic polynomials      130
Cuboctahedron      170
Culminate      277
Cyclic      70
Cyclic quadrilateral      82
D directrix      225 ?
D $\ddot{u}$ rer, A.      204
D, E, F feet of altitudes      84
da Vinci, Leonardo      204
Dantzig      9
Date line      261
de Fermat, P.      30
DEC declination      273
Decagon      70
Declination      270 273
Degenerate conic      213
Desargues' theorem      188
Desargues, G.      188
Descartes, R.      29
Determinant      144
Diameter      78
Dilation      107
DIMENSION      35
DIRECT      73 107 155
Direction cosines      139
Directrix      225
Discriminant      40
Distance      38 139
Distributive      101
Distributivity      5
Division      107
Division algebras      300
dodecahedron      171
Dot product      39 141
Drawing the ellipse      227
Dual      167
Duality      186
E identity matrix      100 160
Eccentric anomaly      233
Eccentricity      225
Ecliptic      274
Edges      69
Egyptian      7
Eigenvalue      202 245
Eigenvector      245
Eigenvectors      202
ellipse      212 217
Ellipsoid      238
Elliptic paraboloids      242
Equator      253 261
Equatorial plane      253
Equiangular spiral      47
Equianharmonic set      124
Equilateral      67 166
Equinox      275
Equivalence class      11
Equivalence relation      11 42
Eratosthenes      63
Euclidean algorithm      13
Euclidean plane      63
Euler      8 21 99
Euler line      85
Euler's constant      24
Except R radius of circumcircle      89
Extended      111
Fano plane      207
Feet      32
Fermat's problem      92
Fibonacci numbers      23
Field      14
Fifth      64
First point of Aries      276
Fixed point      202
Focus      225
Foot      84
footprints      74
G centroid      83
Galois      133
Gauss      288
Generalised plane      37
generating      35
Generator      212
Geodesic      255
Geodesic triangle      256
geoid      239
Giza      7
Glide reflection      73 108
GMT Greenwich mean time      278
God      2 20
Golden ratio      21 22 173
Graph      31
Graves, J.      288
Great circle      253
Greenwich      261
Greenwich Mean Time      278
Greenwich sidereal time      278
Group      34 42
GST Greenwich sidereal time      278
Guitar      46
H orthocentre      84
HA hour angle      278
Half turn      32 33 36
Hamilton, W.R.      288
Harmonic      199
Harmonic set      123
head      32
Heptagon      70
Hexadecanions      300
Hexagon      70
hexahedron      166
Homeomorphism      33 36
Homogeneous coordinates      184
Homology theory      170
Horizon      272
Hour angle      278
Housman, A.E.      4
Hyperbola      212 219
Hyperboloid of one sheet      240
Hyperboloid of two sheets      241
Hyperplane      37 51 55
Hypersphere      39
Hypotenuse      67
I complex number $\sqrt{-1}$       100
I incentre      86
I, j, k quaternions      287
I, J, K unit points on the axes in $\mathbb{R}^{3}$       139
I, j, k, l, m, n, o octonions      295
icosahedron      171
Ifrah, G.      1
Imaginary      102
Incentre      86
incircle      86
India      2
indirect      73 107
Indirect isometries      157
Induction      2
infinity      31 111

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