Taylor's theorem for an imaginary variable Me.79
Taylor's theorem, a transformation of C.78
Taylor's theorem, analogues of J.6
Taylor's theorem, convergence of C.60 74—76 J.28 L.73
Taylor's theorem, Cox's proof CD.6
Taylor's theorem, deductions G.12
Taylor's theorem, kinematic meaning of J.36
Taylor's theorem, reduced forms of C.84
Taylor's theorem, remainder 1503 An.59 C.13 J.17 N.60 63 Z.4
Terminology LM.14
Ternary bilinear forms G.21
Ternary cubics AJ.2 3 C.56 90 CD.1 J.39 55 JP.31 32 L.58 M.1 4 9
Ternary cubics as four cubes LM.10
Ternary cubics in factors An.76 Q.7
Ternary cubics, parameter of the canonical transf. LM.12
Ternary cubics, reduction to canonical form C.81
Ternary cubics, transformation of J.63
Ternary forms At.68 G.1 9 18
Ternary forms with vanishing functional determinants M.18
Ternary forms, order of discriminant LM.3
Ternary quadric forms At.65 C.92 94 96 G.5 8 J.20 40 70 77
Ternary quadric forms and corresponding hyperfuchsian functions Ac.5
Ternary quadric forms, indefinite J.47
Ternary quadric forms, indefinite, with 2 conjug. indeterminates C.68
Ternary quadric forms, representation by a square An.75
Ternary quadric forms, simultaneous system J.80
Ternary quadric forms, table of reduced positive J.41
Ternary quadric forms, transf. of 71 78 79 L.59 77 P.67
Ternary quartic forms C.56 An.82 M.17 20
Terquem's th. Q.4
Tesselation pr. LM.2
Tesseral harmonic analogues CP.13
Tetradrometry, differential f. A.34 Z.5
Tetragon, analogue in space CD.7
Tetrahedroid J.87
tetrahedron 907 A.3 16 23 51 56 J.65 LM.4 Me.62 66 82 Mel.2 N.pr74 80 81 Q.5
Tetrahedron and 2 quadrics Q.8
Tetrahedron and four spheres LM.12
Tetrahedron and quadric CD.8 thN.71
Tetrahedron of given surface J.83
Tetrahedron theorems A.9 10 31 N.61 66 Q.3 5
Tetrahedron with edges touching a sphere N.74
Tetrahedron with opposite edges at right angles Me.82
Tetrahedron with opposite edges, equal N.79
Tetrahedron, 6 dihedral angles of, eq. N.46 67
Tetrahedron, determined from coordinates of vertices J.73
Tetrahedron, geo Z.27
Tetrahedron, homologous J.56
Tetrahedron, two M.19
Tetrahedron, volume 5569 A.45 57 LM.2 N.67 Z.11
Tetrahedron, volume and normal, relation N.54
Tetrahedron, volume and surface in c.c and g.c A.53 CD.8 N.68
Tetratops A.69
Theoretical value function J.55
Theta-functions Ac.3 C.ths90 J.61 66 74 M.17 Me.ap78 P.80 82 thsZ.12
Theta-functions as a definite integral Me.76
Theta-functions in two variables C.92 J.84 M.14 24
Theta-functions, addition theory J.88 89 LM.13
Theta-functions, analogues of C.93
Theta-functions, ap. to right line and triangle A.3
Theta-functions, argument J.73 4thM.14 M.16
Theta-functions, characteristic of, complex AJ.6 C.88 J.28
Theta-functions, characteristic of, th. of Riemann J.88
Theta-functions, double LM.9 Q.
Theta-functions, double, and 16 nodal quartic surface J.83 85 87 88
Theta-functions, formula of Riemann J.93
Theta-functions, Jacobian, num. value M.7 11
Theta-functions, modular integrals trAn.52 54 J.71
Theta-functions, multiplication of LM.1 M.17
Theta-functions, quadruple AJ.6 J.83
Theta-functions, reduction of, from two variables to one C.94
Theta-functions, representation of M.6 Z.11
Theta-functions, transf. of A.1 An.79 J.32 L.80 M.25
Theta-functions, transf. of, linear Me.84 Q.21
Theta-functions, triple J.87
Theta-series, constant factors of J.98 Me.81
Theta-series, constant factors of, n-tuple J.48
Three-bar curves 5430 LM.7 9 Me.76
Three-bar curves, triple generation of Me.83
Toothed wheels cnTE.28
Topology with tables M.19 24
Tore and bi-tangent sphere N.74
Tore, section of G.10 N.59 61 64 65
Tore, section of, circular 56 65
Toroid A.8
Toroid, rectif. &c. A.9 N.44
Toroidal functions P.81 Pr.31
Torse and curve Q.11
Torse and sphere G.12
Torse, circumscribing two quadrics Me.72
Torse, depending on elliptic functions Q.14
Torse, sextic CP.11 Q.14
Torsion A.19 62 65 J.60
Torsion of evolute 5754
Torsion of involute 5753
Torsion, angle of 5725
Torsion, constant L.42
Torsion, inflected, infinite and suspended 5739 N.45
Tortuous curves 5721 Ac.2 C.19 43 58 cn62 G.4 5 21 J.16 59 93 JP.2 18 L.50 th51 52 M.5 19 th25 Mo.82 N.60 No.79 Q.4 5 7
Tortuous curves and developable surfaces CD.5 L.45 M.13
Tortuous curves and right line method 5743
Tortuous curves on a one-fold hyperboloid C.53
Tortuous curves with a max. or min. property Mem.13
Tortuous curves with circular and spherical curvature in a constant ratio L.51
Tortuous curves with coordinates rational functions of a parameter M.3
Tortuous curves with homog. coordinates Q.3
Tortuous curves with loops M.18
Tortuous curves with the same polar surface, d.e C.78
Tortuous curves, approximate coordinates of a point near the origin in terms of the arc 5755
Tortuous curves, circular curvature of 5722 An.60 CD.9 J.60 JP.15 Q.6
Tortuous curves, circular curvature of, locus of centre of do. 5741 5748—5750
Tortuous curves, cn. upon ruled cubics and quartics C.53
Tortuous curves, cubic J.27 80 M.20 Z.27
Tortuous curves, cubics An.58 59 G.45 L.57
Tortuous curves, cubics, four tangents M.13
Tortuous curves, cubics, of 3rd class J.56
Tortuous curves, definitions 5721
Tortuous curves, determined from relation of curvature and torsion A.65
Tortuous curves, elements of arc N.73
Tortuous curves, generation of C.94 L.83
Tortuous curves, generation of, by two pencils of corresponding right lines G.23
Tortuous curves, quadrics J.20
Tortuous curves, quartics C.54
Tortuous curves, quartics, 1st species J.93
Tortuous curves, quartics, cn. of two C.53
Tortuous curves, quartics, intersection of quadrics C.54
Tortuous curves, quintics C.54 58
Tortuous curves, radii of curvature and torsion 5739 L.48 Mem.18
Tortuous curves, sextics, classification of C.76
Tortuous curves, singularities of C.67 J.42
Tortuous curves, spherical curvature 5728 5740 5747 A.19
Tortuous curves, the loci of similar osculating ellipsoids, d.e of same C.78
Tortuous curves, triple, and their parallels A.65
Tractrix 5279
Tractrix, area E.35
Trajectory 5246 Mo.80
Trajectory of 3 homofocal conics An.64
Trajectory of a displaced line; oscul. plane, &c. C.70 76
Trajectory of a tortuous curve L.43
Trajectory of meridian of surface of revolution L.46
Trajectory, surface of points of an invariable figure whose displacement is subject to 4 conditions C.76 77
Transcendental arithmetic J.29
Transcendental curves 5250 An.76 M.22
Transcendental equations C.5 59 72 94 G.6 10 J.22 L.38 N.55 56
Transcendental equations without a root J.73
Transcendental equations, mechanical solution CP.4
Transcendental equations, separation of roots by "compteurs logarithmiques" C.44
Transcendental functions 1401 A.37 C.86 J.3 th9 20 L.51 see
Transcendental functions and definite integrals P.57
Transcendental functions of alg. differentials J.23 L.44
| Transcendental functions which result from the repeated integration of rational fractions J.30
Transcendental functions whose derivatives are determined by cubic eqs., summation of the same J.11
Transcendental functions, arithmetical properties M.22
Transcendental functions, classification of L.37
Transcendental functions, connected with elliptic C.17
Transcendental functions, decomposition into factors by calculus of residues C.32
Transcendental functions, expansion of J.16
Transcendental functions, integral C.94 95 G.23 J.98
Transcendental functions, reduction of Me.72
Transcendental functions, squares of Me.72
Transcendental functions, theorem of Sturm L.36
Transformation by series doubly infinite An.56
Transformation formulae J.32
Transformation in geometry C.71 J.67 JP.25
Transformation in geometry, descriptive G.13 Z.9
Transformation in rational space An.73 LM.3
Transformation of  symmet. y, z CD.9
Transformation of coordinates pl.4048 cb.5574—5581 A.13 A.26 CM.1 J.2 JP.7 N.63
Transformation of coordinates in 3 dimensions A.13 Q.2 J.8
Transformation of coordinates, rectangular into elliptic Mel.4
Transformation of curves L.49 50
Transformation of differential equations Me.82
Transformation of equations A.40 N.64
Transformation of equations of a characteristic eq. by a discriminant An.56
Transformation of equations, 3 variables G.5
Transformation of equations, quadric CM.2 N.75 M.23
Transformation of equations, simultaneous Q.11
Transformation of figures in a plane A.4 N.64 77
Transformation of figures in a plane in space C.94 95 96 N.79 80
Transformation of figures in a plane, double reciprocal by normals to a sphere C.56
Transformation of functions An.50
Transformation of functions by substitution Mem.31
Transformation of functions in an inf. series A.3
Transformation of functions,  CM.1 2
Transformation of functions, quadric Q.2
Transformation of functions, quadric, quadric differential J.70
Transformation of functions, two variables Mem.11
Transformation of powers into binomial coefficients No.75
Transformation of product of n factors An.51
Transformation of rectilineal space coordinates J.63
Transformation of surfaces M.21 N.69 Q.12
Transformation of symbolic functions into isotropic means C.43
Transformation of variables G.5 No.78
Transformation, bilinear M.2
Transformation, birazionale G.7
Transformation, birazionale, of 6th deg. in 3 dimensions LM.15
Transformation, contact M.8
Transformation, Cremona's M.4
Transformation, homograpbic plane L.61
Transformation, linear 582 1794 CD.1 6 CM.3 4 M.2 Mo.84
Transformation, linear, groups of M.12 16
Transformation, methods of C.92
Transformation, methods of, which preserve an invariable relation between derivatives of the same order C.82 L.76
Transformation, methods of, which preserve the lines of curvature C.92
Transformation, modulus of 1604
Transformation, orthogonal 584 1799
Transformation, orthogonal, for equations of dynamics C.67
Transformation, plane M.5
Transformation, plane and in space G.16
Transformation, quadratic, of an elliptic differential M.7
Transformation, reciprocal C.92 G.17 N.64 82 83
Transformation, rectangular LM.14
Transformation, space, for representation of alg. surfaces M.3
Transformation, Tschirnhausen's An.58 P.62 65 Pr.11 14
Transformation, Tschirnhausen's, ext. to quintics and higher E.1 4 J.58
Transformation, unimodular 1605
Transitive function of 24 quantities L.73
Transitive function, doubly, of 5 or 6 variables C.21 22
Transitive function, reduction to intransitive C.21
Transversals 967—974 A.13 18 27 30 56 CD.5 CM.1 J.8 G.22 Me.t.c68 75 N.43 48 TE.t.c24
Transversals of plane alg. curves Z.19
Transversals of spherical triangle and quadrangle A.45
Transversals of two points A.66
Transversals, orthogonal AJ.3
Transversals, parallel A.13 57
Trees, analytical AJ.4
Triads of once-paired elements Q.9
triangle 700 A.17 19 22 29 33 36 43 cn46 61 G.21 J.50 M.geo17 Me.q.c62 N.42 43
Triangle and circle, ths. A.9 40 47 60 Q.7 8 10
Triangle and circle, ths., and 3 concentric circles Me.85
Triangle and circle, ths., of 3 intersecting circles Q.21
Triangle and conic N.70
Triangle and point Q.5
Triangle and polars, circle G.11
Triangle and polars, conic Q.7
Triangle and polars, of mid-points of sides t.cQ.8
Triangle and right line A.59
Triangle of constant species 977
Triangle of reference in t.c 4006
Triangle, angles of 677 738—745 A.65 P.28
Triangle, angles of, difference Q.8
Triangle, angles of, division A.51 58
Triangle, angles of, sum geo960 C.69 70
Triangle, area 707 4036—4041 A.45 57 CM.2 Mem.13
Triangle, bisectors of angles 709 742 932 4628—4630
Triangle, bisectors of sides 738 922i 951 4631 Mem.pr10 13
Triangle, central line 957 4644
Triangle, circle and parabola Q.15
Triangle, construction of 960
Triangle, equilateral, sum of sqs. of distances of any point from its vertices 923 A.69 gz1094
Triangle, formed by joining the feet of bisectors of a triangle A.64
Triangle, Gauss's equations for a plane triangle A.5
Triangle, notation 4629 E.44
Triangle, orthocentre 952 4634
Triangle, pedal line of Me.83
Triangle, perpendicular bisectors of sides 713 4639
Triangle, perpendiculars on sides 952 4633 Mem.13
Triangle, quadrisection of Mem.9
Triangle, rational A.51 56
Triangle, remarkable points of 955—959 see
Triangle, remarkable points of five A.52 66 67 E.28 30 40
Triangle, remarkable points of four A.47
Triangle, remarkable points of nine LM.14 N.70 73 83 Z.11 15
Triangle, remarkable points of two A.48
Triangle, scalenity of Me.66 68
Triangle, sides of, bisectors A.17
Triangle, sides of, containing conjugate poles with respect to four conics An.69
Triangle, sides of, cubic eq. for in terms of  , R, and r J.20
Triangle, sides of, division of A.63 N.83
Triangle, similar C.79
Triangle, similar under 3 or 4 conditions C.78
Triangle, six-point circle Q.4 5
Triangle, solution of 718 859 A.3 51 J.44 TE.10
Triangle, symmetrical properties A.57 Pr.11
Triangle, theorems A.9 43 45 55 57 60 61 63 68 J.68 71 pr28 Q.9 t.c7 8 geo1 2 4
Triangle, theorems, relating to triangles of same perimeter under four other conditions C.84
Triangular numbers 287 E.30 J.69 L.ths63
Triangular prism th N.42
Triangular pyramid At.19 No.pr32
Tricircular and tetraspheric geometry An.77
Trigon. in t.c 4006
Trigonometry 600 A.1 2 8 11 13 30 G.13 extM.35
Trigonometry formulae 627 700 823 A.27 33 65 Me.81 gz1 N.46 77 80 geoQ.5 10
trigonometry functions P.1796
Trigonometry functions in binomial factors L.43
Trigonometry functions in factorials A.43
Trigonometry functions in partial fractions and products Z.13
Trigonometry functions, functions closely allied to A.27
Trigonometry tables, cn A.1 23 25
Trigonometry theorems A.2 50 51 Q.pr7
Trigonometry theorems on  Q.15 16
Trigonometry theorems on product of 4 sines Me.81
Trihedron about a parabola, locus of vertex N.63
Trihedron and quadric N.71
Trihedron and tetrahedron A.57
Trilinear forms C.92 93
Trilinear relation of plane systems J.98
Triplicate-ratio circle 4754b E.40 42 43 44
Twist of a bar Me.80
Twisted surface see "Scrolls"
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