SUBJECT INDEX
Adjoint, 30, 242.
-—, special, 30, 252.
—, —, of higher index, 395, 396.
Adjoints, pure system, 395, 396.
Apolarity, binary, 368-72.
Apolarity, ternary, 410-16.
Asymptotes, 40 ff.
Base of linear system of curves,
380, 384.
, complete, 384, 386.
—, normal, 380, 384.
Branch, 39.
Cayleyan, 150-2, 157, 158.
Centre of curve, 168.
— of gravity, 165-8, 172-6.
—, tangential, 91, 166-8.
Characteristics of correspondence,
331.
Characteristics, Pliicker, 99, 101,
102, 114-18.
Circuit, 50.
—, even, 50-5.
—, odd, 50-5, 58.
—, simple, 50, 55.
Circuits, maximum number, 56,
57, 60-4.
—, nesting, 62-5.
— on Riemann surface, 195, 337.
Class of curve, 20, 93, 94, 141, 249.
-— of system of curves, 432.
— of Cremona transformation,
482, 483.
Coincidences of a correspondence,
126-33, 333.
Collineations, integral, 483-8.
Component, cuspidal, 247.
Conditions, adjunction, 243.
—, existence, 104, 106-8.
Continuity of roots of a poly
nomial, 2 ff.
Contra variant, 73.
Co variant, 73.
Coordinates, barycentric, 68.
Coordinates, trilinear, 67-9.
Coresidual, 30, 245.
Correspondence, 121.
—, indices of, 124.
—, value of, 124, 332, 333.
Correspondence, generalized, 340-2.
Correspondences, birational, 344-6.
—, linearly dependent, 335, 336.
—, (p-p), 342-4.
—, product of, 12.
—, sum of, 125.
Cross ratio, 69, 70.
Curve, 1.
—, base, 121.
—, fundamental, 197, 386, 442.
Curves, canonical, 268.
—, covariant, 151-64.
—, elliptic, 265, 302-6, 363-7.
—, hyperelliptic, 305-8.
—, M-, 464-7.
—, N-, 465-7.
—, normal, 259, 260.
—, parallel, 193, 194.
—, polar, 88-93, 138-47, 185-9.
—, —, generalized, 413, 414.
—, —, polygonal, 308-10.
—, —, rational, 102-4, 368-77.
—, —, reducible, 312-14.
Cusps, 18.
—, effect of, 93.
Defect of equivalence, 320-3, 327.
Degree of covariant, 73, 74.
Dimension of series, 122, 215.
Discriminant, 2, 5, 6, 81-6.
— of quadratic form, 75, 77, 81,
82, 83.
Envelope of polar curves, 145, 146.
— of systems of curves, 428-32.
Equation, Joachimsthal’s, 89, 94.
—, Klein’s, 109-18.
—, tangential of curve, 20.
Equations, Pliicker’s, 99-102, 114-
18, 247, 248.
E volutes, 191-3.
Exponents, characteristic, 220,
222, 223, 226-9.
Foci, 171, 180, 183, 192.
Formula, Chasles-Cayley-Brill, 129,
246, 279.
—, De Jonquières’, 285-8.
—, Zeuthen’s, 135, 246.
Functions, automorphic, 358-60.