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| Ïîèñê ïî óêàçàòåëÿì |
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| Behnke H., Bachmann F., Fladt K. — Fundamentals of Mathematics, Volume II: Geometry |
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| Ïðåäìåòíûé óêàçàòåëü |
Coordinate, pentacyclic 483
Coordinate, Plucker line 487
Coordinate, tetracyclic 467 469 531
Coordinate, transformation of 536
Copunctual 66
Correlation 99 405—407
Cosine theorems 368—369 372 513
Countable 636
Countable basis 663
Countably compact 647
Counterpairing 155—158
Covariant derivative 565
Covariant tensor 546
Covariant vector 546
Covering 10 658—659
Cramer, Gabriel 437
Cremona transformation 454—457
Cross cap 601—603 608—609 627—628
Cross product 363
Cross ratio 387—389 461 473
Crushed cylinder 549
cube 230—236 278
Cubic cone 458
Cubic curve 440—445 448—449
Cubo-octahedron 278—279
Curvature tensor 557 566
Curvature, Gauss 514 552
Curvature, geodesic 566
Curvature, line of 554
Curvature, mean 555
Curvature, of a curve 539—540
Curvature, of an oval 576—577
Curvature, principal 553—555
Curvature, total 567 570
Curve 534—542
Curve, algebraic 438—453
Curve, arc of a 640
Curve, birational equivalence 452—453
Curve, boundary 595
Curve, branch of a 441
Curve, breadth of a 574
Curve, class of a 442
Curve, comparison 560
Curve, diameter of a 574
Curve, distance 510
Curve, extremal 561
Curve, genus of a 446
Curve, higher 445—446
Curve, Jordan 595 647—654
Curve, linear family of 457
Curve, meridian 547
Curve, natural equation of a 542
Curve, of third order 440—442
Curve, order of a 438 450
Curve, rational 440 447—448
Curve, spiric 437
Curve, thickness of a 574
Curve, topology of 635—654
Curvilinear polyhedron 648
Cusp 443
Cuspidal tangent 444
Cut 13 646
Cycles 465 617—619
Cycles, bundle of 479
Cycles, in Laguerre geometry 476—477
Cycles, in Lie geometry 482
Cycles, pencil of 479
Cyclic equivalence class 9—10
Cyclic order 9—10
Cyclographic mapping 481
Cyclographic transference 480—482
Cyclotomy 252—254
cylinders 328
Cylinders, crushed 549
Cylinders, elliptic 329 381
Cylinders, hyperbolic 329 433
Cylinders, parabolic 331 332 383 433
Cylinders, without real generators 433
D-extension of an Abelian group 62
Danzer, L. 574
Darboux rotation vector 541
Decagon 245—247
Decahedron 263
Decomposable equality 19
Dedekind continuity 22
Dedekind cut 13
Deductive geometric theory 29
Deformations of surfaces 596—604
Degenerate Cayley-Klein geometry 497
Degenerate pencil of circles 474
Degenerate polarity 411—412
Degenerate quadric surface 432
Dehn, Max 172
Dense 639
derivatives 39
Derivatives, covariant 565
Derivatives, Gauss equations for 556
Derivatives, mid- 44
Derivatives, of an n-gon 42—44
Derivatives, Weingarten equations for 555—556
Derived triple 39
Desargues theorem 37 69 96 105—107 212 308—310
Desarguesian plane 84 85—93 180 182
Descartes, folium of 449
Descartes, oval of 451
Determinants 335—339
Determinants, functional 335— 337 543
Determinants, Gram 353
Determinants, Hadamard inequality for 354
Determinants, multiplication theorem for 337—338
Diagonal points 107
Diameter, involution 421
Diameter, of a conic section 421—422
Diameter, of a curve 574
Differential equation 560—561
Differential form 558
Differential geometry 504 534—542 576
Dihedral group 283
Dilation 54 79 118 123—124 205 315—317 394 472 479
Dilative rotation 206
DIMENSION 659
Dimension, at a point p 659—660
Dimension, Brouwer theorem of 654
Dimension, Menger and Uryson definition of 659—660
Dimension, of a compactum 659—660
Dimension, of a simplex 611
Direct isometry 375 416—417
Direct sum 294
Directed curve 536
Directed distance 351
Directed plane 6
Directed straight line 5
Direction 322—323 475
Direction, change of 478 485
Direction, of principal curvature 554
Direction, vector 302 535
Discontinuum 637
Disjoint sets 639
Displacement 417 563—567
Distance 572 655
Distance curve 510
Distance function 517
Distance, between two nonabsolute points 491
Distance, directed 351
Distance, elliptic 473 503
Distance, geodesic 568
Distance, hyperbolic 513
Distance, parabolic 495
Distance, tangent 478
dodecahedron 278
| Domain 639 648
Double line 420n 439
Double plane 412
Double point 403—404 441
Double pyramid 283
Doubling formula of von Ceulen 243—245
Doubling of the cube 230—236
Doubly covered triangle 45—46
Dual space 349
Duality 406n
Duality, for polyhedra 268
Duality, principle of 95—96 103—104 407—409
Dualization 408—409
Dyadic expansion 636
Eccentricity of a conic section 424
Eigenspace 315
Eigenvalue 321
Eigenvector 553
Elation 98
Elementary divisors 314
Elementary geometry 462
Elementary subdivision of a complex 614
Elementary transformation 201—202
Ellipitic cylinder 329 381 433
ellipse 329 381 421 588—591
Ellipsoid 329 381 432—433
Elliptic cone 458
Elliptic distance 473 503
Elliptic geometry 163—164 497 502—505
Elliptic group 502
Elliptic group of motions 163
Elliptic involution 404—405
Elliptic measurement 491—493 495
Elliptic motions 163 505—506
Elliptic paraboloid 332 383 433
Elliptic plane 143—145 163—164 169 172 195—196
Elliptic polarity 99
Elliptic projective-metric plane 172
Elliptic reflection 505
Elliptic trigonometry 503—504
Empirical space 3
Enriques, Federigo 438
Equatorial plane 466—467
Equiaffine group 338 342
Equiform geometry 498—499 501
Equiform group 375 414 460—461
Equivalence class 11
Equivalence relation 11 24
Equivalent complex 615
Equivalent systems of neighborhoods 661
Erlanger Program 461—514 533 536 593
Euclid 3 4 13—15 18 64 174
Euclidean differential geometry 536
Euclidean geometry 164—167 345—383 413—419 462
Euclidean group 374—375 461—462
Euclidean group of motions 166
Euclidean plane 112—128 166 169 172 189
Euclidean plane, model of the 190—191
Euclidean point space 350—352
Euclidean space 374 375 563
Euclidean vector space 345—350 379—380
Eudoxus 12—13
Euler concept of a triangle 370
Euler differential equation 560—561
Euler formula for polyhedra 266—267 634
Euler spherical triangle 370
Euler totient function 242
Euler triangle 503—504
Euler — Poincare characteristic 633—634 667
Euler, affinity 316—317
Euler, Leonard 437
Excess of a triangle 570
Exterior algebra 294
Extremal curve 561
Faithful representation 520 525
Fano axiom 107—109
Fermat, Pierre de 437
Field of lines 488
Field, Galois 305
Field, ordered 180n
Field, prime 305
Field, residue class 452
Field, skew 85—90
Field; 15-gon, regular 247—248 259—260
Finite model 142—143
First fundamental form 546
Fixed configuration 77
Fixed group 520n
Fixed line 77 315—316
Fixed point 77 98
Fixed simplex 666—667
Flag 512 533
Focus of a conic section 424—425
Folium of Descartes 449
Form, Pfaffian 558
Form, positive definite 327 345—346
Form, quadratic 388
Four-vertex theorem 579
Fourth harmonic point 388
Fractional linear transformation 527
Frechet separation axiom 661—662
Frechet space 656
Free cyclic group 619
Free mobility 142—143 350
Frenet equation 554
Frenet formulas 540—542 576
Frenet, F. 541
Fujiwara — Kubota theorem 584
Function, arc cos 347
Function, continuous 642
Function, determinant 335—337 543
Function, distance 517
Function, Euler totient 242
Fundamental chain 622—624 630—631
Fundamental form 415 546 552—553 555—557
Fundamental group 634
Fundamental metric form 415
Fundamental polygon 597 608—609
Fundamental tensor 559
Gale's theorem 575
Galois field 305
Gap 646
Gauge 220—223
Gauss curvature 514 552—553
Gauss equations for the derivatives 556
Gauss formula 255
Gauss — Bonnet integral theorem 570
Gauss, Carl Friedrich 490
Gauss, Theorema egregium of 557
General theorem of three reflections 153—154
Generalized line elements 350
Generated group 61
Generators 62 296
Genus, of a curve 446 453
Genus, of a surface 634
Genus, zero 440
Geodesic curvature 566
Geodesic distance 568
Geodesic line 559—563
Geodesic polar coordinates 567
Geodesy 25
Geometric locus 200
Geometry, absolute 138—141 145—162
Geometry, affine 180—182 297
Geometry, algebraic 452
Geometry, Cayley — Klein 490—501
Geometry, central hyperbolic 501
Geometry, central-elliptic 501
Geometry, combinatorial 574
Geometry, complex 391—393
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