Repository: UIHistories Project: Mathematical Models by Arnold Emch - Series 4 (1928) [PAGE 3]

EXTRACTED TEXT FROM PAGE:

PREFACE The mathematical models listed and described below have been

planned and designed in the mathematical laboratory of the University of Illinois since the publication of thefirstseries in 1921, the second series in 1923, and the third series in 1925. A s has been stated in thefirstthree series, the purpose of these constructions is to represent certain features of mathematical instruction and research by adequate models, mechanisms, or graphs, which are not available in the market. In this n e w series various types of illustrative mathematical technique are described. T h efirstis a series of lantern slides for use in lectures on algebraic geometry, in particular on algebraic curves. T h e figures of these slides have been selected with reference to their importance in the illustration of the theory. Next comes a set of three models on perspective, Desargues theorem, and affinity, for use in a course on projective geometry. Series II contains illustrations and short descriptions of two space-sextics of genus four. In the n e w series is added a third model of this type showing the possibility of 120 real tritangent planes of such a sextic. There is also a model of the Weddle surface, constructed by W . L. M o o r e in connection with a study of the geometry on this surface. Differential geometry is represented by two models for the developability of surfaces of constant curvature. Parties or institutions interested in these models or any of those of series I, II, III, m a y procure duplicates by making arrangements with local private firms for the manufacture and sale of such duplicates. Information concerning this and possibly other questions on models will be given by Arnold E m c h , Professor of Mathematics, University of Illinois. Urbana, Illinois. January, 1928.

56744