PageHeader : Funkcialaj Ekvacioj, 12 (1969), 269-281 Title : On Riemann's Equations which are Solvable Title : by Quadratures AuthorInfo : By Tosihusa KIMURA AuthorInfo : (University of Tokyo) AuthorInfo : Dedicated to Professor Tokui Sat? on the Occasion of His Retirement section : 1. Introduction and notation. section : 2. Transformations. section : 3. Reducibility. section : 4. Monodromy group. section : 5. Schwarz's table. section : 6. Hukuhara- hasi table. section : 7. Liouville extension and generalized Liouville extension. section : 8. Statement of our theorems. section : 9. Proof of Theorem I. section : 10. Proof of Theorem II. section : References