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Abel's theorem and the allied theory, including the theory of the theta functions (1897)

Baker, H. F. (Henry Frederick), 1866-1956 · Cambridge : University Press · leaf 420

An illustration from Abel's theorem and the allied theory, including the theory of the theta functions, 1897, leaf 420
he surface becomes simply connected. This may be effected in a manneranalogous to that adopted in § 180, the places Ci, ..., Ck occurring instead of 253] DISSECTION OF THE SURFACE. 395 Zi, ...,Z]i. But it is more convenient, in view of one development of thetheory, to suppose the loops of § ISO to… … well represented by figure 10. We call the sides of the loops (a^), (6,.), uponwhich the letters a,., h,. are placed, the left-hand sides of these loops, and bythe left-hand sides of the cuts (71), ..., {<yj^), to the places d, ..., c^, we mean

Geometry, Algebraic · Functions, Theta

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