KONINKLIJKE AKADEMIE VAN WETENSCHAPPEN 
TE AMSTERDAM, 
PROCEEDINGS OF THE MEETING 
of Saturday January 28, 1905. 
IC 
(Translated from: Verslag van de gewone vergadering der Wis- en Natuurkundige 
Afdeeling van Zaterdag 28 Januari 1905, DI. XIII). 
GSOEN KEEN ESS 
P. H. Scuoute: “The formulae of GuLpIN in polydimensional space”, p. 487. 
W. Karreyn: “On a series of Bessel functions”, p. 494. 
Hi. G. Jonker: “Contributions to the knowledge of the sedimentary boulders in the Nether— 
lands. I. The Hondsrug in the province of Groningen. 2. Upper Silurian boulders. — First 
communication: Boulders of the age of the Eastern Baltic zone G”. (Communicated by Prof. 
K. Marri), p. 500. 
J. J. van Laar: “On some phenomena, which can occur in the case of partial miscibility of two 
liquids, one of them being anomalous, specially water”. (Communicated by Prof. H. A. Lorentz), 
p. 517. (With one plate). 
J. CarpryaaLt: “The equations by which the locus of the principal axes of a pencil of 
quadratic surfaces is determined”, p. 532. 
The following papers were read: 
Mathematics. — “The formulae of GurpiN in polydimensional 
space.” By Prof. P. H. Scnoure. 
(Communicated in the meeting of December 24, 1904). 
9 el : é 5 B (a) 
We suppose in space S, with 7 dimensions an axial space S, 
and in a space S,4: through this SP a limited part with p + 1 
. C D (a B a 5 5 
dimensions rotating round SS)’. Then an arbitrary point P of this 
5 Pp d 
limited space, which may be called a polytope independent of the 
shape of its limitation and may be represented by the symbol (P0),+1, 
describes a spherical space of n—p dimensions lying in the space 
Sj through P perpendicular to Sy) having the projection Q of P 
od 
Proceedings Royal Acad. Amsterdam, Vol, VII. 
