Isosceles figures C.87 JP.30
Isotherms, families of Z.26
Isotropic functions C.26 27
Iterative functions L.84
Jacobi — Bernoulli function J.42
Jacobian ths 1600—1609 AJ.3 thZ.10
Jacobian and polar opposites Me.64
Jacobian of 3 conics 5023 LM.4
Jacobian, formulae d.c.1471 J.84 Mo.84
Jacobian, function of several variables Mo.82
Jacobian, function, one argument G.2
Jacobian, modular eq. of 8th degree M.15
Jacobian, sextic equation Q.18
Jacobian, system, multiplicator M.12
Kinematic geometry of similar plane figures Z.19 20 23
Kinematic geometry of space J.90
Kinematics A.61 AJ.3 G.23 L.53 80 LM.th17 N.82 ths 84
Kinematics of a point N.49 82
Kinematics of a point, barycentric method Mel.5
Kinematics of plane curves A.55 N.82
Kinematics of plane curves, caustics Z.23
Kinematics of plane figures Mel.26 N.78 80
Kinematics of plane figures, of a triangle N.53
Kinematics of sliding and rolling solids TA.2
Kinematics, paradox of Sylvester Me.78
Knight's move at chess C.31 52 74 CD.7 CM.3 E.41 N.54 Q.14
Knots TE.28
Knots with 8 crossings E.33
Kummer's 16-nodal quartic surface C.92 J.84
Kummer's 16-nodal quartic surface, figures of M.18
Kummer's 16-nodal quartic surface, lines of curv. of J.98
Kummer's equation an analogous eq. C.99
Kummer's equation, i.c. 2706
Kummer's equation, rational integrals of M.24
Lagrange's theorem (d.c) 1552 C.60 77 CD.6 CM.3 Mel.2 gzC.96 Me.85 gzQ.2
Lambert's th. of a parabolic sector A.16 33 48 Me.78 Q.15
Lambert's th. of elliptic sector 6114
Lame's equation An.79 C.86 90 91 ths92
Lame's functions C.87 J.56 60 62 M.18
Landen's th. of hyperbolic arc 6117 E.21
Laplace's coefficients or functions see "Spherical harmonics"
Laplace's equation and its analogues CD.7
Laplace's equation and quaternions Q.1
Laplace's th. (d.c) 1556
Last multiplier, Jacobi's th., of L.45
Lateral curves A.58
Latus rectum 1160
Law of reciprocity N.72
Law of reciprocity, d.e 3446
Law of reciprocity, ext. to numbers not prime C.90
Least divisors, table of, from 1 to 99000 7
Least remainder (absolute) of real quantities Mo.85
Least squares, method of A.11 18 19 AJ.1 C.34 37 40 CP.8 11 G.18 J.26 L.52 53 67 75 Me.80 81 Mel.1 4 gzZ.18
Legal algebra (heredity) N.63
Legendre's coefficient or function,  2936 C.47 91 L.76 gz79 Me.80 Pr.27
Legendre's coefficient or function, and complete elliptic integral of 1st kind Me.85
Legendre's coefficient or function, , product of any two expressed by a series of the same functions Pr.27
Legendre's coefficient or function, , rth integral of and log integral of Me.83
Legendre's symbol  Mel.4 5
Leibnitz's th. in d.c 1460 N.69
Leibnitz's th. in d.c, a formula Mo.68
Lemniscate 5317 A.55 cn3 At.51 thsE.4 L.46 47 Me.68 N.45
Lemniscate, chord of contact, cn Z.12
Lemniscate, division of perimeter C.17 L.43
Lemniscate, division of perimeter, into 17 parts J.75
Lemniscate, division of perimeter, irreducibility &c. of the partition equation J.39
Lemniscate, tangents of J.14 cnZ.12
Lemniscatic function, biquadratic theorem, multiplication and transformation of formulae J.30
Lemniscatic geometry Z.21
Lemniscatic geometry of nth order J.83
Lemniscatic geometry, coordinates Z.12
Lexell's problem LM.2
Life annuities A.42
Life annuities, cn of tables P.59
Limacon 5327 C.98 N.81
Limited derivation and ap. thereof Z.12
Limiting coefficients C.37
Limits of  when  L.40 N.85 Q.5
Limits of functions of two variables M.11
Limits, theory of Me.68
Linear associative algebra AJ.4
Linear construction Man.51
Linear coordinates in space M.1
Linear dependency of a function of one variable J.55
Linear dependent point systems J.88
Linear equations A.51 70 Ac.4 C.81 th94 G.14 J.30 JP.29 L.f39 66 Mo.84 N.51 75 80 Z.15 22
Linear equations with real coefficients M.6
Linear equations, analogous to Lame's C.98
Linear equations, similar N.45
Linear equations, solution by roots of unity C.25
Linear equations, symbolic solution in connexion with the theory of permutations C.21
Linear equations, systems of 582 A.10 22 52 57 Gr.15 C.81 96 L.58 N.46
Linear equations, systems of, in one unknown C.90 Gr.9
Linear equations, systems of, of nth order J.15
Linear equations, systems of, standard solution 582 Q.19
Linear equations, systems of, standard solution, gen. th A.12
Linear equations, whose number exceeds the number of variables N.46
Linear forms L.84
Linear forms, with integral coefficients J.86 88
Linear function of n variables G.14
Linear geometry, th M.22
Linear identities between square binary forms M.21
Linear systems, calculus of JP.25
Linear,  where U, V are products of n linear functions of two variables CD.5
Lines of curvature 5773 A.34 37 An.53 C.74 CD.5 L.46 M.2 3 76 N.79 Q.5
Lines of curvature and conics, analogy 5854 Me.62
Lines of curvature and geodesies of developables L.59
Lines of curvature and shortest distance of 2 normals one of which passes through an umbilic L.55
Lines of curvature and triple orthogonal systems M.3
Lines of curvature of a quadric 5833—5834 C.22 49 51 G.11 J.26 Me.1 N.63 Pr.32 TI.14
Lines of curvature of a quadric, pd constant along it 5836
Lines of curvature of a quadric, projected from an umbilic into confocal Cartesians E.19
Lines of curvature of a quadric, quadratic for  , giving the directions 5810
Lines of curvature of an ellipsoid A.38 48 An.70 ths CM.2 3 4 JP.1 N.81
Lines of curvature of an ellipsoid and of its pedal surfaces Q.12
Lines of curvature of an ellipsoid, comparison of arcs of, by Abel's th An.69
Lines of curvature of an ellipsoid, projection of Z.2
Lines of curvature of an ellipsoid, rectification of An.73
Lines of curvature of an equilateral paraboloid N.84
Lines of curvature of quartic surfaces C.59 L.76
Lines of curvature of ruled surfaces C.78
Lines of curvature of surface of the 4th class, correlatives of cyclides which have the circle at infinity for a double line C.92
Lines of curvature of the tetrahedral surfaces of Lame, &c C.84
Lines of curvature of two homofocal quadrics L.45
Lines of curvature, dividing a surface into squares C.74 LM.4 Mo.83
Lines of curvature, generation of surfaces by J.98 N.77
Lines of curvature, near an umbilic 5822 A.70 Q.10
Lines of curvature, of alg. surfaces Z.24
Lines of curvature, osculating plane of 5835
Lines of curvature, plane or spherical An.57 C.46 JP.20 L.53
Lines of curvature, plane, condition for 5843 An.68 C.36 42 96 G.22 Me.64
Lines of curvature, spherical C.36 42
Lines of greatest slope A.29
Lines of greatest slope and with vertical osculating planes C.73
Lines, "de faits et de thalweg" in topography L.77
Lines, alg. representation of C.76
Lines, generated by a moving plane figure C.86
Lines, loxodromic J.11
Lines, six coordinates of CP.11
Linkage and linkwork 5400—5431 E.28 30 Me.75 N.75 78
Linkage and linkwork for constructing  and  AJ.1 3
Linkage and linkwork for constructing a lemniscate AJ.1
Linkage and linkwork for constructing a limacon 5427 Me.76
Linkage and linkwork for constructing an ellipse 5426
Linkage and linkwork for constructing root of a cubic equation 5429
Linkage and linkwork, 3-bar 5430 E.34
Linkage and linkwork, 4-bar Me.76
Linkage and linkwork, conjugate 4-piece LM.9
Linkage and linkwork, Hart's 5417 LM.6 8
Linkage and linkwork, Kenipe's 5401 Pr.23
| Linkage and linkwork, Peaucellier's 5410 E.21 LM.6 N.82
Linkage and linkwork, the Fan of Sylvester E.33
Linkage and linkwork, the Invertor 5419
Linkage and linkwork, the Multiplicator 5407
Linkage and linkwork, the Pentograph 5423
Linkage and linkwork, the Plagiograph 5424
Linkage and linkwork, the Planimeter 5452
Linkage and linkwork, the Proportionator 5423
Linkage and linkwork, the Quadruplane 5422
Linkage and linkwork, the Reciprocator 5419
Linkage and linkwork, the Reversor 5407
Linkage and linkwork, the Translator 5407
Linkage and linkwork, the Versor-invertor 5422
Linkage and linkwork, the Versor-proportionator 5424
Lissajons' curves A.70 M.8
Lituus 5305
Loci, classification of C.83 85 P.78 Pr.27
Locus of a point of intersection of common tangents to a conic and circle N.63 79
Locus of a point of intersection of curves CM.2
Locus of a point on a moving curve Mem.18
Locus of a point on a moving right line L.49
Locus of a point, at which 2 given lengths subtend equal angles A.68
Locus of a point, ditto of two revolving curves N.64
Locus of a point, dividing a variable line in a constant ratio gzAJ.3
Locus of a point, the centre of a circle cutting 3 circles in equal angles N.53
Locus of a point, the centre of collineation between a quadric surface and a system of spherical surfaces A.65
Locus of a point, the product of 2 tangents from which, to 2 equal circles is constant An.64
Locus of a point, whose distances from 2 curves have a constant ratio An.58
Locus of a point, whose distances from 2 curves have a constant ratio or satisfy a given relation A.33 symbolic f.
Locus of a point, whose sum of distances from 2 lines is constant N.64
Locus of a point, whose sum of distances from 3 lines is constant A.17 46
Locus of a point, whose sum of distances from lines or planes is constant A.19 prs31 ths31
Locus of pole of one conic with respect to another N.42
Locus of remarkable points in a plane triangle A.43
Locus of vertex of constant angle touching a given curve N.61
Locus of vertex of quadric cone passing through 6 points N.63
Logarithmic curve 5284
Logarithmic curve, quadrature N.45
Logarithmic integral A.93 19 J.17 Z.6
Logarithmic integral of a rational differential J.3
Logarithmic integral, numerical determination A.11
Logarithmic parabola CD.7
Logarithmic potentials M.3 4 8 13 16 Z.20
Logarithmic rational fractions A.6
Logarithmic systems A.14
Logarithmic transcendents P.14
Logarithmic waves LM.2
Logarithms 142 P.1792 1787 1806 17 TE.26
Logarithms and anti-logarithms, cn I.12 24
Logarithms and circular functions from definite integrals A.65
Logarithms of 2, 3, 5, 10 and e to 205 places Pr.6 20
Logarithms of 2, 3, 5, 7, 10 and e all to 260 decimal places Pr.27
Logarithms of different orders of numbers L.45
Logarithms of negative numbers No.1784
Logarithms of primes from 2 to 109, table viii. p.6
Logarithms of sum and difference of 2 numbers A.45
Logarithms with many decimal places N.67
Logarithms, calculation of 688 A.24 27 42 LM.1 5 Me.74 N.51 Pr.31 32 TE.6 14 TI.6 8
Logarithms, calculation of, Huyghen's method C.66 68
Logarithms, common or Briggean A.24
Logarithms, constants in integral J.60
Logarithms, higher theory of trA.15
Logarithms, impossible CM.1
Logarithms, natural, base of see "e."
Logarithms, natural, modulus of 148 A.3
Logarithms, natural, of commensurable numbers or of algebraic irrationals C.95
Logarithms, natural, or Napierian, or hyperbolic A.25 26 57
Logarithms, new kind of J.70
Logarithms, powers of CM.2
Logarithms, tables of log sines, &c. cn Q.7
Logic of numbers AJ.4
Logic, algebra or calculus of A.6 AJ.3 7 CD.3 M.12 Man.71 76 82 Q.11
Logic, algebra or calculus of equivalent statements LM.11
Logocyclic curve Pr.9 Q.3
Longimetry applied to planimetry J.52
Loto, game of L.42
Loxodrome eqA.21 N.61 Z.5
Loxodrome of a surface of revolution N.74
Loxodrome of cylinder and sphere A.2
Loxodrome of ellipsoid and sphere A.32
Loxodrome of paraboloid of rotation A.13
Loxodromic triangle upon an oblate spheroid A.27
Lucas's analogous f. G.13
Lucas's th G.14
Ludolphian number Mo.82
Lunes J.21
Maclaurin's th. (d.c) 1507 A.12 CM.3 J.84 N.70
Maclaurin's th., symbolic form CM.4
Maclaurin-sum-formula J.12
Magic cubes Q.7 CD.1
Magic cyclovolute TA.5 9
Magic parallelopiped A.67
Magic rectangles A.65 66
Magic squares A.21 57 66 CD.1 CM.4 E.8 J.44 Me.73 Pr.15 16 Q.6 10 11 TA.5 9
Magical equation of tangent Q.6
Malfatti's problem, to inscribe 3 circles in a triangle touching each other A.15 16 20 55 J.10 45 76 77 84 89 LM.7 M.6 P.52 Pr.6 Q.1 TE.24 Z.21
Malfatti's resolvents of quintic eqs A.45
Malm's surfaces, th J.84 88
Mannheim, two theorems G.8
Martin's measure of distance A.19
Matrices E.42 LM.4 16 thMe.85 P.58 66 Pr.9 14
Matrices of 2nd order, linear eq. C.99
Matrices of 2nd order, quadratic Q.20
Matrices of any order, linear eq. C.99
Matrices,  and function  Me.80
Matrices, Cayley's th LM.16 Me.85
Matrices, equation, px=xq C.99
Matrices, notation of J.50
Matrices, persymmetrical, th E.34
Matrices, product of G.5 11
Matrices, roots of a unit matrix C.94
Matrices, whose terms are linear functions of x J.50
Maximum of  ., when  N.46
Maximum of  A.36
Maximum of ![$\sqrt[x]{x}$](/math_tex/4ed5819c7e1375bedfcafd2cd642096482.gif) , &c. A.42
Maximum of a factorial function Me.73
Maximum of a product N.44
Maximum of a sphere, th N.53
Maximum or minimum 58 1830 A.4 13 22 35 49 53 60 70 C.17 24 J.48 JP.25 Me.1 geo5 72 76 81 83 N.43 Z.13
Maximum or minimum by interpolation, f A.25
Maximum or minimum of  , &c., to find S 3078 3080
Maximum or minimum of  , &c., to find s 3070 3072
Maximum or minimum of a definite integral Z.21
Maximum or minimum of figures in plane and in space CM.3 L.41 J.24 Z.11
Maximum or minimum of in- and circum-polygon of a circle A.29 30
Maximum or minimum of in- and circum-polygon of ellipse, and analogous th. for ellipsoid An.50
Maximum or minimum of multiple definite integrals Mel.4
Maximum or minimum of single integrals between fixed limits J.54 69 M.25
Maximum or minimum of the sum of the distances of a point from given points, lines, or planes J.62
Maximum or minimum of the sum of the values of an integral function and of its derivatives L.68
Maximum or minimum, continuous 1866
Maximum or minimum, discontinuity in CD.3
Maximum or minimum, distances between points, lines, and surfaces, geo At.65
Maximum or minimum, duplication of results Me.80
Maximum or minimum, ellipse which can pass through 2 points and touch 2 right lines A.14
Maximum or minimum, elliptic function method Mel.5
Maximum or minimum, functions of 2 variables 1841 Mem.31 Q.5 6
Maximum or minimum, functions of 2 variables, Lagrange's condition CM.2
Maximum or minimum, functions of 3 variables 1852 CD.1 prs 1865
Maximum or minimum, functions of n variables 1862 L.43 Mem.59 Q.12
Maximum or minimum, functions of n variables, symmetrical Mel.2
Maximum or minimum, functions of one variable 1830
Maximum or minimum, functions of one variable, ditto. with an infinity of max. and min. values J.63
Maximum or minimum, in-polygon (with given sides) of an ellipse A.30
Maximum or minimum, indeterminates CM.4
Maximum or minimum, method of substitution A.23
Maximum or minimum, of an arc as a function of the abscissa J.17
Maximum or minimum, planimetrical groups of A.2
Maximum or minimum, problems on 1835 1840 1847 A.2 geo19 38 39 geoL.42 Mem.11
Maximum or minimum, problems on, a paradox N.63
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