( 625 ) 
are fixed to the soluble globulines) are to be found back quantitatively 
in the filtrate. Thus the way has been paved to obtain an antitoxical 
solution, at the same time free from anaphylactic by-actions, —- 
which might be of great use to the serum-therapy. Erelong I hope 
to be able to give further information about this subject. 
Mathematics. — “The types of bilinear w'-complexes of Ms in Spr.” 
By Mr. Lucten Gopraux, at Liege. (Communicated by Prof. 
SCHOUTE). 
(Communicated in the meeting of January 30, 1909). 
I have been recently *) investigating which were the essential charac- 
teristics of the most general type of the bilinear complex of conics 
in Sp,; it is now my purpose to extend my work to the linear 
space Sp, with » dimensions. 
Let there be oo” varieties Ms with r—2 dimensions and of order 7. 
Any one of these varieties is entirely situated in a linear space Spr 0E 
the fundamental space Sp,. Let us say that these oo” varieties form 
a oo’-complex. 
The characteristics of such a complex are: 
1. The number u of the M/-s situated in a general Sp,— of Spr 
2. The number v of the M"_» passing through a fixed point and 
the Sp: of which passes through a Sp,—s containing the chosen 
fixed point. 
The aim we have here in view is the determination of the essential 
properties of the most general o,-complex ZL having the charac- 
teristics b= be pk 
Let us notice that all the varieties Al,» of Sp, are the sections 
} 
by the Sp, of the varieties V,; with r— 1 dimensions and of 
J / 
n+r—l 
order n of a linear system ( ) = times infinite K. 
n 
The M,". of L are evidently situated on the Vs; of an o”-system 
K' contained in K. 
1) Determination des variétés de complexes bilineaires de coniques. Bull. de 
Acad. Roy. de Belgique 1908. 
