MILNER—MULTIPLICATION.
112
Milner’s Lamp : differential equation and construction of, xm, 3—5.
Minima (see Maxima and Minima).
Minimal Surfaces (see Surfaces).
Minor : the term, xi, 496.
Minor Function: in Abel’s theorem, xn, 111.
Mirrors : systems of rays, xii, 571—5.
Mobius, A. F.: geometry of position, I, 360; reciprocal figures, i, 415; developable from quintic curve,
i, 500; tortuous curves, I, 500; circular relation, m, 118—9, ix, 612—7, XI, 188; cubic curves,
iv, 120, xi, 479; in-and-circumscribed triangle, iv, 439—41; cubic curves and cones, v, 401, 551;
opposite curves, v, 468 ; equilibrium of four forces, v, 540—1 ; coordinates of a line, vu, 66, 93 ;
multiple algebra, xn, 472, 473.
Models : Pliicker’s, of quartic surfaces, vu, 298—302 ; Wiener’s, of cubic surface, vm, 366—84.
Modular : the term, xm, 559.
Modular Equations: in elliptic functions, ix, 117—8, 126—37, 169—75, xii, 507—34; errors in Sohnke’s
paper, ix, 543 ; for cubic transformation, xii, 46 ; quintic transformation, xii, 416.
Modular Functions: system of symbols, iv, 484—9; x“, xm, 338—41.
Modulus: of transformation, the term, iv, 605; table for any prime or composite, vi, 83—6.
Moment : non-Euelidian geometry, xm, 481—9.
Moment of Inertia : of solid body, iv, 478—80, 559—66.
Monge, G. : transformation of coordinates, iv, 557 ; theory of déblais and remblais, xi, 417—20 ; descrip
tive geometry, xi, 448—9 ; reciprocal polars, xi, 465 ; biographical notice, xi, 586—8 ; non-Euclidian
plane geometry, xii, 221 ; differential equation of conic, xii, 393.
Monodromie : the term, xii, 432.
Monogenic Function : xi, 80, 537.
Monoid Surfaces: and curves in space, v, 8, 552; and quintic curves in space, v, 24—30, 552, 553, 613.
Monotropic : the term, xii, 432.
Monro, C. J. : flexure of spaces, x, 331—2.
Montucla, J. F. : on Wallis, xi, 642.
Moon : secular acceleration of mean motion, in, 522—81, 568 ; (see also Lunar Theory, Solar Eclipse).
Morley, F. : topology of chessboard, x, 609—10; systems of circles and spheres, xm, 13.
Motion : of solid body, i, 28—35, 583 ; secular acceleration of moon’s, in, 522—61, 568 ; Lagrange’s equations
of, ix, 198—200; on three-bar, ix, 551—80, 585, xm, 505—16; Sylvester on recent discoveries in
mechanical conversion, xm, 44 ; (see also Dynamics, Elliptic Motion, Kinematics, Lunar Theory).
Motte, A. : problem of tactions, xm, 151.
Moulton, J. F. : matrices, xi, 256.
Mountains : altitude, and roots of algebraic equation, xm, 33—7.
Mourey, C. V. : imaginaries, xii, 468.
Mousetrap : the game of, in, 8, x, 256—8.
Moutard, T. : quartic surfaces, vn, 246, vm, 262.
Muir, T. : history of determinants, i, 581 ; problem of arrangements, x, 249—51 ; elimination, xm,
545—7.
Multiform Series : defined, iv, 456.
Multilinear Operator of MacMahon : xm, 399.
Multiple Algebra: on, xi, 446, xii, 60—71, 459—89; associative imaginaries, xii, 105—6.
Multiple Integrals: and attractions, I, 5—12, 13—8, 195—203, 204—6, 285—9, 438—44, 581, 586, II,
35—9 ; demonstration of a theorem of Boole, i, 384—7, 588.
Multiple Sines : x, l—2.
Multiple Theta-functions (see Theta-functions).
Multiplication: of elliptic functions, I, 534—9, 568—76, 589, ix, 138—47, xii, 507; of determinants,