RECTANGLE-RIEMANN.
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Rectangle : potential of, ix, 278—80.
Rectilinear Motion: iv, 515—6.
Reduced Latitude: vii, 16, ix, 238.
Reducible Semin variants: and perpetuants, хш, 308—13.
Reducible Syzygies (see Syzygies).
Reduction: of transcendental integrals, x, 214—22.
Reech, F.: contour lines, iv, 609.
Reflection: caustics by, I, 273—5, il, 118—22, 129.
Region: the term, ix, 331.
Regular: the term, vi, 457, 459.
Regulator: the term, vn, 402.
Regulus: the term, xi, 573, 632.
Rehorovsky, W.: symmetric functions, n, 602.
Relation: and abstract geometry, vi, 457—62; omal, vi, 463; parametric, vi, 463—4; a discriminant,
vi, 467; Jacobian, vi, 467.
Relink: the term, v, 521.
Remblais: theory of, xi, 417—20, 449, 587.
Reports: on progress of theoretical dynamics, in, 156—204; on progress in solution of certain problems
in dynamics, iv, 513—93; on Pellian equation, хш, 430—67.
Representation: analytical, of curves in space, iv, 446—55, 490—5, xi, 83; of solid figure in plane, vn,
26—30; of surfaces on a plane, viii, 538; of variables by correspondence of planes, x, 316—23 ;
conformal, xi, 78—81; graphical, of binodal quartic and the elliptic functions, хш, 9—19; Sylvester
on graphical, хш, 47; (see also Orthomorphosis, Transformation).
Reseau: the term, vii, 253.
Residuation: of cubic curve, ix, 211—4, xn, 115—6; of curves, xii, 502; Sylvester’s theory of, хш, 47.
Residues: Cauchy’s theorem on, i, 148, 174; Eiscnstein’s geometrical proof of quadratic, in, 39—43;
nodal, of scrolls, v, 169—70, 181—3, 184, 187.
Resisting Medium: motion in, iv, 541.
Resolvent Equations: sextic, of Jacobi and Kronecker, хш, 473—9.
Resolvents: after Lagrange, iv, 309; of quintics, xi, 396.
Resultant: the term, i, 63, 337, iv, 597, 602—3, vi, 466—7 ; of qualities, n, 320; of two equations, n,
440—53, vi, 292—9; of two binary quantics, iv, 1—4, ix, 16—7; of three ternary quadratics, iv,
349—58; of two binary cubics, v, 289; of forces, x, 589.
Resultor : defined, и, 59.
Reversion : of series, iv, 30—7, 54—9.
Reuschle, K. G-.: mathematical tables, ix, 468—9, 473, 485, 494—9, xi, 95—6; theory of numbers, xi,
85—6, 315, 612.
Rhamphoid Cusp: v, 265—6, 618.
Rhizic Theory: root-limitation, ix, 34—8.
Ribaucour, C. R.: orthogonal surfaces, viii, 569—70.
Riccati, J. F.: solution of equation, vii, 9—12.
Richelot, F. J. : Abeliau integrals, i, 366, 367; solution of equation x m -1—0, i, 564; porism formula,
ii, 90; in-and-circumscribed triangle, in, 237—41 ; spherical pendulum, iv, 534, 592; rotation of
solid body, iv, 577—8, 592 ; rotation round fixed point, iv, 583, 592; two quartic curves, x, 584;
integral of Euler’s differential equation, хш, 525—9.
Richmond, H. W. : Pascal’s theorem, vi, 594.
Riemann, G-. F. B.: doubly infinite series, ii, 593; genus of curve, v, 476—7, 517; Abelian integrals,
v, 521, xi, 30 ; Abelian functions, vi, 2, 264, 593 ; elliptic geometry, viii, xxxvii; transformation
and theory of invariants, viii, 387; surface of, and correspondence, x, 317, 323 ; bitangents of
