KONINKLIJKE AKADEMIE VAN WETENSOHAPPEN 
TE AMSTERDAM. 
PROCEEDINGS OF THE MEETING 
of Friday December 24, 1909. 
(Translated from: Verslag van de gewone vergadering der Wis- en Natuurkundige 
Afdeeling van Vrijdag 24 December 1909, Dl. XVIII). 
OOlTTEirTS. 
M. J. van Uven: “On the orbits of a function obtained by infinitesimal iteration in its complex 
plane". (Communicated by Prof. W. Kapteyn), p. 503. _ ^ ^ 
by Prof. H. Kamekeingh Onnes), p. 513. 
L. Bolk: “On the slope of the Foramen magnum in Primates. 2nd Paper. On the comparative 
Craniology of Primates”, p. 525. 
Ph. Kohnstamm: “A short reply to Mr. van Laar remarks”. (Communicated by Prof. J. D. 
van der Waaes), p. 534. 
R. R, Krcyt: “The equilibrium solid-liquid-gas in binary systems of mixed crystals . (Com¬ 
municated by Prof. P. van Rombergh). p. 537. 
Mathematics. — “On the orbits of a function obtained by infini-. 
tesimal iteration in its complex plane” By M. J. van Uven. 
(Communicated by Prof. W. Kapteyn). 
(Communicated in the meeting of November 27, 1909). 
When a function y — y (x) is iterated, each iteration y n — <f„ (x) 
will give rise to a conform representation of the complex planes of 
x and y n . 
If we suppose y — <p (z) to be built up by means of infinitesimal 
iteration of the function Lim y i — Lm <f\_ (.z) , so that y n has also 
a meaning for broken and unmeasurable values of n, then the con¬ 
form representation of y — <p {x) will gradually appear out of the 
identity belonging to y 0 = <f Q (x) =. x. 
Proceedings Royal Acad. 
i. Vol. XII. 
