512 
SUBJECT INDEX 
Functions, symmetric, 2. 
— in general, 8 ff., 94. 
Generation of curves, 57, 59. 
Genus of curve, 100, 119, 120, 141. 
— of series, 322. 
— of system of curves, 426. 
Grade of linear system of curves, 
408. 
Groups of points, linear series, 121. 
— of Cremona transformations, 
491-8. 
Hessian, 77, 79, 95-8, 151-7. 
Homaloid, 442. 
Hypercusp, 18. 
Hyperplane, 12. 
Hyperspace, fundamental proper 
ties, 12, 13. 
Identities of Clebsch, 463-6. 
Index of circuit, 65, 66. 
— of cuspidal, 247, 248. 
— of inflexional, 247, 248. 
— of special adjoints, 395, 396. 
— of system of curves, 379. 
Inflexions, 94, 95. 
— in system of curves, 420-2, 
433-5. 
Indices of correspondence, 124. 
Integrals, Abelian, 270, 330-7. 
—,—, of first sort, 271-4, 356, 
357. 
—, —, of second sort, 275, 356. 
—, —, of third sort, 276. 
Intersection theorem, 23, 225. 
Intersections of branches, 224-7, 
231. 
—, infinitely near, 26. 
Invariant, 73. 
—, binary, 81-6. 
—, ternary, 86-8. 
Involution, 257, 316. 
—, Geiser, 478, 479. 
Isobaric, 2. 
Isologue, 459. 
Jacobians, 82, 83, 149-51. 
Line, fundamental, 197. 
Moduli, 293, 294, 303, 304. 
Multiplicity of singular point, 17. 
Nest, 62. 
Net, homaloidal, 444. 
—, Laguerre, 423, 424. 
—, linear of curves, 140, 148-60, 
422-4. 
Operator, Aronhold, 77. 
—, Cayley, 77, 78. 
—, polar, 75. 
Order of branch of curve, 218. 
— of circuit, 65, 66. 
— of curve, 14, 141. 
— of series, 122, 315. 
Pencil of curves, 137, 147, 148, 158, 
169, 417-22. 
Point, branch for correspondence, 
135, 136. 
—, fundamental for transforma 
tion, 197, 208, 442. 
—, satellite, 238, 239. 
—, singular, 17, 90-4. 
—, Weierstrass, 290-2. 
—, unit, 68. 
Points, O x O s 0 3 , 69. 
Point-groups, linear series, 121. 
Polar curves, 88-93, 138-47, 185- 
9. 
Polynomials, general properties, 1. 
—, homogeneous, 7 ff., 11. 
Power of point, 176-8. 
Process, Aronhold, 74, 75, 78. 
—, polar, 74, 75. 
Propinquity of branches, 224, 226, 
228, 239. 
Residual, 30, 248. 
Resultant, 4 ff. 
Rule, Zeuthen’s, 131. 
Satellite, 159-61. 
Series, linear of point-groups, 121. 
canonical, 252. 
characteristic, 384. 
complete, 122. 
composite, 257. 
difference of, 253. 
dimension of, 122, 315. 
residual, 325-7. 
simple, 257, 315. 
sum of, 253. 
Series, non-linear of point-groups, 
genus of, 322. 
index of, 316-22.