Quadric surfaces, intersection of two, with a sphere, ths N.64
Quadric surfaces, loci from A.27
Quadric surfaces, non-central sections 5654
Quadric surfaces, non-central sections, area 5655
Quadric surfaces, non-central sections, centre N.75
Quadric surfaces, normals of 5629—5632 C.78 J.73 83 N.63 78 Q.8
Quadric surfaces, oblique coordinates N.82
Quadric surfaces, Pluocher's method L.38
Quadric surfaces, polar plane of 5681—5688
Quadric surfaces, principal axes see "Axes"
Quadric surfaces, principal planes of L.36 N.67 71 Z.24
Quadric surfaces, problems An.61 C.60 J.73 N.58 Q.10
Quadric surfaces, sections of J.74
Quadric surfaces, self-reciprocal M.25 Z.22
Quadric surfaces, similarity of two CD.8
Quadric surfaces, system of Q.15
Quadric surfaces, system of, reduc. and transf. L.74 Z.6
Quadric surfaces, tangent planes 5626 5678 CM.1 cnJ.42 LM.11 N.46
Quadric surfaces, tangent planes, locus of intersect. of three LM.15
Quadric surfaces, tangents 5677 G.12
Quadric surfaces, theorems An.54 CD.5 J.54 85 L.43 Mo.79 N.63 64 Q.2 4
Quadric surfaces, transformation of two, by linear substitution into two others, in which the squares only of the variables remain J.12
Quadric surfaces, volume of oblique frustum E.19
Quadric surfaces, volume of segment A.27
Quadric surfaces, with a "Symptosen-axe" A.60 61
Quadricuspidals L.70
Quadrilateral A.6 48 Me.66 thG.5 prsN.43
Quadrilateral and circle, geo. 733 Q.5
Quadrilateral and conic 4697 N.75 76
Quadrilateral and conic and in-conic tg.c 4907 Q.11
Quadrilateral and quadrangle A.1
Quadrilateral area N.48
Quadrilateral area as a determinant N.74
Quadrilateral between two tangents to a conic and the radii to the points of contact A.53
Quadrilateral bisectors, a property N.75
Quadrilateral cn. with given sides and equal diags. A.5
Quadrilateral convex A.66
Quadrilateral convex area Q.19
Quadrilateral sum of sqs. of sides th924
Quadrilateral th. extended to 3 dimensions J.56
Quadrilateral with sines of angles in given ratio A.2
Quadrilateral, complete 4652 A.24 69 At.63
Quadrilateral, complete, midpoints of 3 diagonals, collinear Me.73
Quadrilateral, Desargues' theorem Z.24
Quadrilateral, plane and spherical A.2 Z.6
Quadrilateral, right-angled A.2 3
Quadruplane LM.14
Quantics 1620 C.47 J.56 LM.6 N.48
Quantics in linear factors C.50 L.ths61 Q.6
Quantics of differentials J.70 71 Mo.69
Quantics, Cauchy Pr.42
Quantics, Cayley P.54 56 58 59 61 67 71 78 Pr.7 8 9 11 15 17 18 23 thsCD.6 J.53 N.53 Q.14
Quantics, derivation from another by linear substitution C.42
Quantics, derivatives, relation between 1st and 2nd E.39
Quantics, index symbol of CD.5
Quantics, integration of a rational C.97
Quantics, transf. of  , by linear subst. J.45
Quantitative function, transf. of CD.3
Quartic curves An.76 79 At.52 C.37 ths64 65 77 98 CD.5 G.14 16 J.59 M.thl 4 7 12 prN.56
Quartic curves and Abel's integrals M.11
Quartic curves and elliptic functions J.57 59
Quartic curves and in-pentagon, th M.13
Quartic curves and residual points E.34
Quartic curves and secants M.12
Quartic curves of 1st kind and intersections with a quadric An.69
Quartic curves through which one quadric surface only can pass An.61
Quartic curves with 3 cusps of 1st kind An.52
Quartic curves with a double line A.2 C.75
Quartic curves with a double point M.19
Quartic curves with a double point, three Q.18
Quartic curves with a double point, three of inflexion N.78
Quartic curves with a double point, two C.97
Quartic curves with cuspidal conics M.19
Quartic curves with double tangents J.66
Quartic curves with quadruple foci Q.18
Quartic curves,  M.1
Quartic curves, 16 inflexion points of 1st species of trZ.28 E.32
Quartic curves, binodal, mechanical cn. of E.18
Quartic curves, characteristics of a system C.75
Quartic curves, chord of contact, eq. M.17
Quartic curves, classification by inf. branches L.36
Quartic curves, degenerate forms LM.2
Quartic curves, developable reciprocated Q.7
Quartic curves, generation of C.45 J.44
Quartic curves, generation of, 3rd class J.66 Z.18
Quartic curves, oblate C.74
Quartic curves, parameter representation of M.13
Quartic curves, penultimate Me.72
Quartic curves, rectification C.87
Quartic curves, singularities of L.75 M.14
Quartic curves, synthetic treatment of Z.23
Quartic curves, trinodal thE.30
Quartic curves, unicursal twisted LM.14
Quartic equations see "Biquadratic."
Quartic surfaces A.12 C.70 G.11 12 LM.3 19 M.1 7 13 18 20 Mo.66 72 N.70 87 Q.10 11
Quartic surfaces and 2 intersecting right lines M.3
Quartic surfaces with 12 nodes Q.14
Quartic surfaces with 16 nodes J.65 73 83 84 85 86 87 88 Mo.64
Quartic surfaces with 16 nodes, principal tangent curves of M.28 Mo.64
Quartic surfaces with a cusp at infinity LM.14
Quartic surfaces with a tacnode at infinity at which the line at infinity is a multiple tangent LM.13
Quartic surfaces with double conic A.2 M.1 2 4 Mo.68
Quartic surfaces with eq. Sym. det. = 0 Q.14
Quartic surfaces with triple points M.24
Quartic surfaces, containing a series of conics J.64
Quartic surfaces, generated by motion of a conic J.61
Quartic surfaces, Hessian of Q.15
Quartic surfaces, Steiner's C.86 J.64
Quaternions C.86 98 CD.4 G.20 M.11 22 Me.62 64 81 P.52 Q.6 TE.27 28 TI.21
Quaternions, ap. to linear complexes and congruences Me.83
Quaternions, ap. to tangent of parabola AJ.1
Quaternions, elimination of  from the conditions of integrability of  , &c. TE.27
Quaternions, equations C.98
Quaternions, equations of surfaces, Joachimstahl's method E.43
Quaternions, equations,  TE.28
Quaternions, equations, linear 99
Quaternions, equations, qQ - qQ' = 0 Me.85
Quaternions, f. for quantification of curves, surfaces, and solids AJ.2
Quaternions, finite groups AJ.4
Quaternions, geometry of CD.9
Quaternions, integration ths Me.85
Quaternions, transformations Man.82
Quetelet's curve 5249
Quintic curves cnM.25
Quintic equations AJ.6 7 An.65 68 C.46 48 50 61 62 73 80 85 J.59 M.13 14 15 P.64 Pr.11 Q.3 TI.19 Z.4
Quintic equations whose roots are functions of a variable Q.5
Quintic equations, auxiliary eq. of Man.15 P.61 Q.3
Quintic equations, condition of transformability into a recurrent form E.35
Quintic equations, functions of difference of roots An.69
Quintic equations, irreducible AJ.7 J.34
Quintic equations, reduction of Q.6
Quintic equations, resolvents of C.63
Quintic equations, solution of An.79 J.59 87 N.42 Q.2 18
Quintic equations, solution of, Descartes' method A.27
Quintic equations, solution of, in the form of a symmetrical determinant of four lines An.70
Quintic equations, solution of, Malfatti's An.63
Quintic surfaces LM.3
Quintic surfaces, having a quintic curve An.76
Quintics, resolution of Q.4
Radial curves LM.1
Radial curves of conics, catenary, lemniscate, &c. E.24
Radial curves of ellipse Q.18
Radiants and diameters of a conic C.26
Radical axis 958 984—999 4161 LM.2 Me.66 see
Radical axis of symm. circle of a triangle A.63
Radical axis of two conics Q.15
Radical centre 997
Radical plane 5585
Radii of curvature of a surface 5795—5817 A.11 55 Q.12 Z.8
Radii of curvature of a surface, ellipsoid 5831
| Radii of curvature of a surface, flexible surface L.48
Radii of curvature of a surface, principal 5814—5816 L.47 82 M.3 Me.80 N.55
Radii of curvature of a surface, principal constant Me.64
Radii of curvature of a surface, principal for an ellipsoid 5832
Radii of curvature of a surface, principal ones L.47 82 M.3 Me.80 N.55
Radii of curvature of a surface, principal product constant An.57
Radii of curvature of a surface, principal, equal and of constant sign C.41 JP.21 L.46
Radii of curvature of a surface, principal, Euler's theorem 5806
Radii of curvature of a surface, principal, one a function of the other An.65 C.84 J.62
Radii of curvature of a surface, principal, reciprocal of product An.52
Radii of curvature of a surface, principal, sum = twice the normal C.42
Radii of curvature of a surface, principal, sum constant An.65
Radii of two circles which touch three touching two and two A.55
Radius of curvature of a curve 5134 A.cn4 9 31 33 CD.7 J.2 45 thsM.17 N.62 74
Radius of curvature of a curve and normal in constant ratio N.44
Radius of curvature of a curve at a cusp or inflexion point N.54
Radius of curvature of a curve in dipolar coordinates Me.81
Radius of curvature of a curve of a geodesic L.44
Radius of curvature of a curve of a geodesic on an ellipsoid An.51
Radius of curvature of a curve of a parabola 1261 4542
Radius of curvature of a curve of a roulette 5235 N.73
Radius of curvature of a curve of circum-sphere of a tetrahedron in terms of the edges N.74
Radius of curvature of a curve of conics 1259 A.9 CM.1 J.30 L.36 Me.66 Mel.2 N.45 68
Radius of curvature of a curve of evolutes in succession N.63
Radius of curvature of a curve of gauche curves N.66
Radius of curvature of a curve of normal section of  5817
Radius of curvature of a curve of polar curves A.51 CM.2
Radius of curvature of a curve of polar reciprocal N.67
Radius of curvature of a curve of projection of a curve N.61
Radius of curvature of a curve of projection of a curve of contour of orthogonal projection of a surface C.78
Radius of curvature of a curve of tortuous curves Mem.1O
Radius of curvature of a curve, absolute CM.1
Radius of curvature of a curve, circular 5736
Radius of curvature of a curve, circular, ang. deviation 5746
Radius of curvature of a curve, q.c and t.c Q.12 Z.3
Radius of curvature of a curve, transf. of properties by polar reciprocals L.66
Radius of gyration 5904
Radius vector of conic J.30 N.47
Ramifications E.30 33 40 pr th27
Ramifications, sol. by a diophantine eq. Mo.82
Randintegral J.71
Ratio and proportion 68
Ratio and proportion of  ,  geo.cnN.44
Ratio and proportion of differences of geo. quantities C.40
Ratio and proportion of segments of lines and triangles, geo. 929—932
Ratio and proportion of two distances, geo. 926—928
Ratio and proportion, compound 74
Ratio and proportion, limits of 753
Rational derivation, cubic curve AJ.3
Rational divisors of 2nd and 3rd degrees N.45
Rational functions of n elements M.14
Rational functions, development of AJ.5
Rational functions, infinite form systems in M.18
Rationalisation of a series of surds (Fermat's pr.) A.35
Rationalisation of alg. equations A.13 CD.8 J.14 P.14 TI.6
Rationalisation of alg. fractions A.13 33 35
Rationalisation of alg. functions A.69
Ray systems J.57 L.60 74 Me.66 N.60 61 62 Z.16 see
Ray systems and refraction theory Q.142 TI.15—17
Ray systems of 1st order and class and linear pencils J.67 69 Z.20
Ray systems, 1st and 2nd order Mo.65 M.15 17
Ray systems, 2nd class and 16 nodal quartics J.86 Mo.64
Ray systems, 2nd order and class J.92
Ray systems, 3rd order and 2nd class J.91
Ray systems, 6th order and 2nd class J.93
Ray systems, complex of 2nd degree and system of 2 surfaces M.21
Ray systems, forming a group of tangents to a surface Z.18
Ray systems, infinite geometry of Z.17
Reciprocal cones 5664 5670
Reciprocal of a circle 4845
Reciprocal of a conic 4866—4868
Reciprocal of a quadric surface 5717—5718
Reciprocal polars 4844 5704 A.36 gzE.24 J.77 LM.2 N.48 49 num.fG.21
Reciprocal radii M.13
Reciprocal relations J.48 79 90 M.19 20
Reciprocal spiral 5302
Reciprocal surfaces 5704—5719 J.79 M.4 10 P.69
Reciprocal surfaces of Monge C.42
Reciprocal surfaces of quadrics gn 5705
Reciprocal surfaces of quadrics, central 5706
Reciprocal surfaces of surface of centres of a quadric Q.13
Reciprocal surfaces of the same degree as their primitives Mo.78
Reciprocal surfaces, curvature of L.77
Reciprocal surfaces, degree of CD.2 TI.23
Reciprocal theorems on conics and quadrics L.61
Reciprocal transformation, geo. L.71
Reciprocal triangle th Q.1
Reciprocal triangle and tetrahedron Q.1
Reciprocants LM.17
Reciprocity law 3446 AJ.1 th C.90 J.28 39 LM.2 Mo.58 d.e 3446 A.33
Reciprocity law for power residues C.84
Reciprocity law for power residues, cubic, in complex numbers from the cube roots of unity J.27 28
Reciprocity law for power residues, quadratic C.24 88 J.47 L.47 Mo.80 84 85
Reciprocity law in cubics M.12
Reciprocity law, history of Mo.75
Reciprocity law, quadratic  system of 8th degree J.82
Reciprocity law, supplementary theorem to J.44 56
Reciprocity, anal. A.7
Reciprocity, geo. CD.3
Rectangle, M. I. of 6015
Rectangular hyperbola 4392 Me.62 66 72 N.42 65
Rectification of curves 5196 A.26 Ac.5 An.69 CR.95 CD.9 G.11 J.14 L.47 N.ths 64
Rectification of curves by circular arcs C.77 85 L.50 Mem.30
Rectification of curves by elliptic arcs or functions J.79 Mem.30
Rectification of curves by Poncelet's theorem C.94
Rectification of curves on a surface Mem.22
Rectification of curves, approximate M.4 Mel.4
Rectification of curves, mechanical Z.16
Rectifying developable 5727
Rectifying line 5726—5751 N.73
Rectifying plane 5726
Rectifying surface 5730
Reflexion from a revolving line TE.28
Reflexion from plane surfaces A.60
Reflexion from quadric surfaces J.35
Refraction curve A.51
Regle a calcul C.58 N.69
Regular polygons 746 A.21 cn24 39 L.38 M.cn6 13 N.42 44 47
Regular polygons in and circum N.45 Q.2
Regular polygons in space Me.75
Regular polygons, 12-gon, complete C.95
Regular polygons, 17-gon A.6 J.cn24 75 N.74
Regular polygons, 17-gon and division of the circle A.42
Regular polygons, 5-gon M.83
Regular polygons, 7-gon A.17
Regular polygons, 7-gon and 13-gon M.6
Regular polygons, 8-gon A.6
Regular polygons, convex Me.74
Regular polygons, eqs. for sides and diagonals A.40
Regular polygons, eqs. of and division into eqs. of lower degrees, tr. A.46
Regular polygons, spherical N.60 67
Regular polygons, star J.65 Me.74 N.49
Regular polygons, star, funicular N.49
Regular polyhedrons 907 A.11 47 Pr.34 Me.66 Q.15
Regular polyhedrons, relation of angles 909 Me.74
Regular polyhedrons, volumes by determinants A.57
Related functions M.25
Relationship problems E.35 38
Relative motion N.66
Rents A.40
Representative functions M.18
Representative notation Q.6
Reproduction of forms C.97
Reptation N.54
Residuation in a cubic curve Me.74
Residues A.26 C.12 13 32 ap32 41 44 49 CM.1 J.25 31 89 L.38 Mel.4 N.46 Mem
Residues of 9exp.(9exp.9) by division by primes A.35
Residues of complex numbers Mo.80
Residues of complex numbers, primes of 5th, 8th, and 12th powers J.19
Residues, ap. to infinite products C.17
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