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Carr G.S. — Formulas and Theorems in Pure Mathematics
Carr G.S. — Formulas and Theorems in Pure Mathematics



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Название: Formulas and Theorems in Pure Mathematics

Автор: Carr G.S.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition

Год издания: 1970

Количество страниц: 988

Добавлена в каталог: 07.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Complexes      L.44 47 M.2 4
Complexes and congruences, spherical of 2nd degree, their circles and cyclides      J.99
Complexes and spherical complexes, ap. to linear p.d.e      M.5
Complexes in combinations and permutationa      A.21
Complexes of 1st and 2nd degrees and linear congruences      An.76 L.51 M.2 9 N.85 trZ.27
Complexes of 2nd degree      G.8 17 18 cnJ.93 M.7 N.726
Complexes of 2nd degree of right lines which cut two quadrics harmonically      M.23
Complexes of 2nd degree with a centre      L.82
Complexes of axes of a quadric      N.83
Complexes of nth degree, singularities      M.12
Complexes, Linear      N.85 Z.18
Complexes, linear, of an in-conic of a quadrilateral      G.21
Complexes, quadratic ray-& web-complexes      J.98
Complexes, tetrahedral in point space      Z.22
Composite functions of a higher order      G.2
Composite numbers for construction of factor tables      A.45
Composite numbers, "Compteurs logarithmiques"      C.40
Composite numbers, groups of      J.78 LM.8 Me.79
Concavity and convexity      5174
Concentric circles      LM.14
Concentric circles, 3 quadrics, intersection of      E.39
Conchoid      5320 A.55 N.43
Concomitants of a ternary cubic      AJ.4
Concurrent lines and collinear points      967—976 A.69
Concurrent lines and collinear points, th. on conic and triangle      E.35
Concyclic conicoids      995 Q.11
Cone      1150—1159 6043 A.16 L.61 Me.62
Cone and cylinder, superfices, tr      An.57
Cone and sphere      5652 thsMe.64
Cone, general d.e of      E.18
Cone, intersection of two      N.64
Cone, oblique      eq 5598 J.2 Me.80
Cone, sections of      1150—1159
Cone, superfices of oblique frustrum      J.2
Cone, through m points and touching 6-m lines      LM.4
Cone, volume of frustrum      Ac.41 N.13
Configuration of 16 points and 16 planes      J.86
Configuration of 16 points and 16 planes, $(3, 3)_{10}$ and unicursal curves      M.21
Confocal conics      4550—4558 5007 tg.e J.54 LM.12 13 Me.66 68 73 N.80 Q.10 TE.24 Z.3
Confocal conics, Graves' theorem      4555
Confocal conics, Graves' theorem, Griffith's ext.      LM.15
Confocal conics, tangents of      4555
Confocal quadrics      5656—5672 A.3 CD.4 5 9 G.16 M.18 thMe.72 Q.3
Confocal quadrics, relation to curves and cones      CD.4 9
Confocal quadrics, volume bounded by three and the coord. planes      A.36
Confocal surfaces      Me.66
Conformable figures      A.59 LM.10 M.19 Z.17
Congruences      C.51 88 thJ.19 apJ.19 thMe.75 N.50 P.61
Congruences and irreducible modular functions      C.61
Congruences and trigonometrical functions      J.19
Congruences of 1st degree      A.32
Congruences of 1st degree in several unknowns      L.59
Congruences of 1st degree with composite modulus      E.30
Congruences of 1st degree, sol. by binomial factorial      Mem.44
Congruences of 1st degree, transformation of modulus      Mel.2 N.59
Congruences of 2nd degree      C.62 Mem.31
Congruences of 2nd degree, reduced forms      C.74
Congruences of 3rd order and class      LM.16
Congruences, $x^{2}+y^{2}\equiv 1 \pmod p$      J.19
Congruences, $x^{t}\equiv 1 \pmod p$      J.31
Congruences, binomial      AJ.3 C.61
Congruences, binomial, classification of roots      C.63
Congruences, binomial, expon. to base 3      Mel.4
Congruences, Cremonian      LM.14
Congruences, higher, with real prime modulus      An.83 J.31 54 99
Congruences, irreducible      J.40
Congruences, linear      LM.4
Congruences, linear, of circles in space      C.93
Congruences, numerical      An.60
Congruences, numerical, multiplication of      61
Congruences, resultant of systems of linear      C.88
Congruent divisors of a number, no. of      A.37
Conical functions      M.18 19
Conical surfaces      5590 A.63 Ac.5 LM.3 M.3
Conical surfaces through 6 points, locus of vertex      J.92
Conicoids      5599 A.48 Q.tg.c q.c t.c
Conicoids, 50-point      Me.66
Conics      4032—5030 A.1 5 17 31 32 60 68 C.83 G.1 2 3 21 J.20 30 32 45 69 86 M.17 19 N.42 43 44 45 71 75 82 P.62 Q.8 tg.c Z.18 21 23
Conics and circle, intersection th      1263 A.59 N.64
Conics and companion quadric      An.60 JP.7
Conics and polar, Desarques' th      N.64
Conics and quadrics      A.30 L.42 N.58 66 ths
Conics and quadrics, geo interpretation of variables      N.66
Conics from oblique cone      L.38
Conics of 14 points      Me.66
Conics of 8 points      J.65
Conics of 9 points      A.43 G.1
Conics of 9 points and 9 lines      G.7 8
Conics of Apollonius      L.58
Conics under 5 conditions      4822—4843 L.10 59
Conics under 6 conditions, cn      C.59
Conics under 7 conditions in space      C.61
Conics with Jacobian=0      M.15
Conics, $L\alpha^{2}+M\beta^{2}+N\gamma^{2} = 0$      4755 4765 Me.62
Conics, $\alpha\gamma = k\beta\delta$ and derived equations      4697—4719 Q.4
Conics, $\alpha\gamma = k\beta^{2}$ or $LM= R^{2}$      4699 4784 N.44
Conics, $\alpha\gamma = k\beta^{2}$ or $LM= R^{2}$, $S+L^{2} = 0$, &c.      4707
Conics, angles connected with      4375
Conics, anharmonic correspondents, problem of 5 conics and 5 lines      N.56
Conics, arcs similar to      N.44
Conics, areas of      4688 6097—6121 N.46 t.cQ.2 see
Conics, as curves in space      tr A.37 M.64
Conics, auxiliary circle      1160
Conics, centre, coordinates of      402 4267 t.c t.c tg.eq ths prs
Conics, centre, locus of      4520 5028
Conics, chord of contact      4124 4281 4699—4721
Conics, chords of      4315 4322 p.c p.c Me.66 see
Conics, chords of, cutting an ellipse at a given angle      E.28
Conics, chords of, intersecting      1214 4317
Conics, chords of, moving round an ellipse      A.43 44 E.22
Conics, collinear relation to circle      Z.1
Conics, conjoint lines of      L.38
Conics, conjugate diameters      1193—1213 4346 ths CM.1 L.37 N.42 ths 69 Q.3
Conics, conjugate diameters, parallelogram on      1194 4367
Conics, conjugate diameters, relation to ellipse when equal      A.18
Conics, conjugate points      Q.8
Conics, construction of      1245 4822 A.28 43 E.29 Q.4 N.59 73
Conics, construction of, from conj. diameters      1253 A.52
Conics, construction of, with help of circle of curv.      A.24
Conics, contact of      4527—4533 A.1 60 C.78 Pr.34
Conics, contact of, 4-pointic with a quartic      M.12
Conics, contact of, 5-pointic      5190 5191 C.78 E.5 23 J.21 P.59
Conics, contact of, at 2 points      Q.3 N.74
Conics, contact of, do. with each of 2 conics or circles      4803—4806 CD.5 6 E.31 34
Conics, contact of, with surfaces      C.91 P.70 74
Conics, convexity from focal property      N.56
Conics, criterion of Mobius      J.89
Conics, criterion of species      4464—4477 t.c 5000
Conics, curvative centre and radius of      4534—4549 geo thsMe.73 N.79 85
Conics, curvative, chord of      1259 1264 Q.6
Conics, curvative, chord of, locus of mid-point      A.70
Conics, curvative, geo cn      1265 A.17
Conics, definitions      1160
Conics, degenerate forms      LM.2
Conics, diameters      1214 1235 eq cn N.65
Conics, director circle      geo 1217 eq o.c LM.13 N.79
Conics, directrices      1160 trA.63 LM.11
Conics, eccentric values of coordinates      4275 CM.4
Conics, eccentricity      1151 4200
Conics, elementary formula      G.9
Conics, ellipse and hyperbola      4250—4296
Conics, equation in $\rho$ and p      Q.13
Conics, equations of      4251 4273 p.c tg.c 4870 J.2
Conics, equations of parabola      4201 t.c p.c
Conics, equations of parabola, general      4430 4713 t.c 4689 tg.c 5000
Conics, equations of, general      4400 4714 4719 t.c t.c tg.c tg.c p.c t.c CP.4 5 t.c 7 Mem.52 N.43 45 65 see general
Conics, equations of, intercept      4498
Conics, equi-conjugates, gen.eq      4491
Conics, formulae      J.39 N.62
Conics, general equation, cond. for a circle      4467 t.c t.c Q.2
Conics, general equation, cond. for a circle, from eq. of axes      N.57
Conics, general equation, cond. for a hyperbola      4468 t.c A.39
Conics, general equation, cond. for a parabola      4430 t.c 4735 4746 4775 tg.c
Conics, general equation, cond. for a rectangular hyperbola      4737 t.c tg.c
Conics, general equation, cond. for an ellipse      4464 t.c
Conics, general equation, cond. for two right lines      4469 4475 t.c
Conics, generation of      N.75 Z.23
Conics, generation of, by a moving chord of a circle      A.34
Conics, generation of, Maclaurin's method      4830 LM.4
Conics, generation of, Newton's method      4829
Conics, graphic problems      N.80
Conics, Hailey's pr      N.76
Conics, harmonically circum-scribed      Q.18
Conics, harmonically inscribed      Q.18
Conics, intersecting a surface in 5 points      C.63
Conics, intersecting in 4 points      J.23
Conics, limiting cases      4465—4477 Me.68
Conics, normals      1171 sd5629—5632 A.16 24 32 cn 47 An.cn 78 C.72 84 J.cn 56 62 Me.66 Mel.2 N.70 81 Q.8 Z.11 18 26
Conics, normals, circle through feet of      N.80
Conics, normals, cutting off the min. or max. arc or area      N.44
Conics, normals, dividing ellipse most unequally      E.29
Conics, normals, eccentric angles of the feet of four, th      4334
Conics, normals, equations of      4286 4483 4512
Conics, normals, intercepts      4294
Conics, normals, intercepts, segments      4309 4486
Conics, normals, least distance between two      A.21 38
Conics, normals, number of real      J.59 N.70 72
Conics, number cut by 8 lines in space      J.68
Conics, number under double conditions      C.59
Conics, octagram      LM.2
Conics, parameter of      N.43
Conics, passing through given points and touching given lines      cn 4831—4840
Conics, passing through given points and touching given lines, 1 point and touching 3 lines      Q.8
Conics, passing through given points and touching given lines, 2 points and touching 2 lines, locus of centre      G.7
Conics, passing through given points and touching given lines, 2 points and touching 2 lines, locus of centre, four such conics, th      Q.8
Conics, passing through given points and touching given lines, 2 points and touching a line      Q.2
Conics, passing through given points and touching given lines, 3 points and touching a circle twice      N.80
Conics, passing through given points and touching given lines, 3 points and touching a line      Q.6
Conics, passing through given points and touching given lines, 3 points with given focus      cn A.54
Conics, passing through given points and touching given lines, 4 foci of a conic      Q.5
Conics, passing through given points and touching given lines, 4 points      N.66 Q.2 8 Z.9
Conics, passing through given points and touching given lines, 4 points and touching a line      cn 4833 A.65
Conics, passing through given points and touching given lines, 4 points, envelop of      E.28
Conics, passing through given points and touching given lines, 4 points, envelop of, Do. of axes      N.79
Conics, passing through given points and touching given lines, 4 points, locus of pole of a line      4770
Conics, passing through given points and touching given lines, 5 points      cn 4831 eq A.27 A.9 24 64 An.50 N.57
Conics, pencil of      M.19
Conics, perpendicular from centre on tangent      1195 4366—4373
Conics, perpendicular from centre on tangent, ditto from foci      1178 4300
Conics, pole of chord joining $x_{1}y_{1}, x_{2}y_{2}$      4326
Conics, pole of chord joining $x_{1}y_{1}, x_{2}y_{2}$, parabola      4218
Conics, properties of      1274 A.4 25 70 p.cJ.38
Conics, quadrature of      TE.6
Conics, rectification of      6071 6084 P.2 TI.16 Z.2
Conics, reduction of u, u' to the forms $x^{2}+y^{2}+z^{2}=0$, $\alpha x^{2}+\beta y^{2}+\gamma z^{2}=0$      4995
Conics, series of      A.cn 67 cn
Conics, seven points of      C.94
Conics, similar      4522
Conics, six points of      A.62 J.92
Conics, systems of      C.62 65 M.6 N.66
Conics, systems of 2      Q.7
Conics, systems of 4      L.54
Conics, systems of, and orthogonal lines      N.71
Conics, systems of, and quadrics      Z.6
Conics, tangent curves of      Z.15
Conics, tangents or polar      1167—1169 4280—4285 4790 gn.eq A.61 cnCD.3 CM.1 p.eq N.79
Conics, tangents, at the points $\mu$, $tan\phi$, $\mu cot\phi$      4799
Conics, tangents, do. for parabola      4215 cn
Conics, tangents, do. for parabola, ratio of lengths      1243
Conics, tangents, intercepts on the axes      4292
Conics, tangents, locus of x'y'      A.69
Conics, tangents, quadratic for abscissae of points of contact      4312
Conics, tangents, quadratic for abscissae of points of contact, parabola      4216
Conics, tangents, quadratic for m      4313
Conics, tangents, quadratic for m, parabola      4220
Conics, tangents, segments of      4307
Conics, tangents, subtend equal angles at focus      1181 1234 CM.2
Conics, tangents, two at the origin, eq      4489
Conics, tangents, two from x'y'      4311 gn.eq 4965 A.57 t.c cn A.53
Conics, theorems      1267 A.54 J.16 L.44 M.3 N.45 48 72 84 Q.4 6 7
Conics, theorems, 3 circles touch a conic in A, B, C and all cut it in D; A, B, C, D are concyclic      J.36
Conics, theorems, conic and triangle      Q.5
Conics, theorems, t.c by Pascal, Desarques, Carnot, and Chasles      A.53
Conics, three      4707 4710
Conics, three, in contact      4803
Conics, three, Jacobian of      5023
Conics, touching a conic and line, cond.      5017
Conics, touching a curve twice      J.45
Conics, touching a group of lines, and having a given characteristic and focus      A.49
Conics, touching a quintic curve in 5 points, no of      N.66
Conics, touching curves of any order      C.59
Conics, touching five curves      C.58
Conics, touching four lines      4804
Conics, touching four lines, locus of centre      4772 5028
Conics, touching four lines, locus of focus      5029 N.45 67
Conics, touching n lines      N.61
Conics, touching two circles twice      4806
Conics, touching two conics twice      4803
Conics, touching two sides of the trigon      4784—4808
Conics, transformation of      G.10
Conics, two      4936—5030 N.58
Conics, two, at infinity      4715—4716
Conics, two, common elements, cn      A.68
Conics, two, common pole and polar, cn      4762
Conics, two, condition of touching      4942
Conics, two, condition of touching, t.c      5021
Conics, two, intersecting in 4 points      4700 A.32
Conics, two, intersecting in 4 points at $\infty$      A.16
Conics, two, points of intersection      tg.e 4973 cn
Conics, two, reciprocal properties      E.29
Conics, two, reduction to $x^{2}+y^{2}+z^{2}=0$ and $\alpha x^{2}+\beta y^{2}+\gamma z^{2}=0$      4995
Conics, two, six chords of, eq      4941
Conics, two, tangents of, four      eq 4981 J.75 Q.3
Conics, two, with common chords or tangents      4700—4705
Conics, two, with common points and tangents      4701—4707 LM.14 Z.18
Conjugate functions      apLM.12 TI.17
Conjugate lines of surfaces      CD.9
Conjugate point-pair of a conic      Z.17
Conjugate points      1066 5184
Conjugate points in ellipse      A.38
Conjugate tetrahedrons of a quadric, each vertex being the pole of the opposite side      N.60 83
Conjugate triangle of a conic      N.83
Connexes (1, n) corresponding to d.e      A.69
Connexes (1, n) corresponding to d.e in space      Mel.6
Connexes (1, n) corresponding to d.e of 1st order and class in simple involution      G.20
Connexes (1, n) corresponding to d.e of 2nd order and class      G.19
Connexes (1, n) corresponding to d.e, analogue in anal.geo. of space      M.14
Connexes (1, n) corresponding to d.e, linear      M.15
Cono-cunei      A.2
Constant coefficients, theory      I.23
Constant functions and their derivatives      A.15
Contact 4-pointic on an algebraic surface      M.9
Contact and circle of curvature      4527 5188 5134 A.30
Contact of 3rd order between 2 surfaces      C.74
Contact of an implexe with an alg. surface      C.84
Contact of curves      5188
Contact of curves with a parabola      Z.2
Contact of curves with faisceaux of doubly infinite curves      C.83
Contact of curves with surfaces      L.78
Contact of curves with surfaces with triangles      M.7
Contact of curves, cir. of curv.      A.53 C.32 J.66 P.62 Pr.11 Q.7
Contact of lines with surfaces      L.37 Q.1 17 Z.12
Contact of quadrics      LM.5
Contact of spheres      JP.2
Contact of surfaces      J.4 JP.15 P.72 74 76 Q.12
Contact problem of Apollonius      A.66
Contact problem of Apollonius, spherical      At.19
Contact transformation      C.85 M.23
Contingence angle of      see "Torsion"
Contingence, Angle of      5725
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