xlvi. ABSTRACT OF PROCEEDINGS. 



■referred to for the first time, and notes are given embodying the 

 author's research and enquiry over a long series of years. The 

 author hopes that his paper will be found useful to botanists, 

 •chemists, and those interested in the economic utilization of 

 Australian vegetable exudations of our forests. The paper con- 

 cludes with a bibliography of eighty-seven items. 



2. " On the principle of continuity in the generation of geometrical 



figures in homaloidal space of ^-dimensions," by G. H. Knibbs, 

 f.r.a.s. 



The author discussed the philosophical basis of the idea of the 

 continuous generation of geometrical figures, and shewed that we 

 are compelled to admit the conceptional existence of a space of 

 -different orders, as well as dimensions, of infinity and zero ; the 

 interpretation of such being in all cases unambiguous. In inter- 

 preting algebraic equations, it was shown that in passing from 

 the values - to +0 of the variable, where the branches of a 

 •curve exhibit infinite discontinuity, the result may depend upon 

 the order of the zero. There may, for example, be no discontinuity 

 for the first order of zero, unit discontinuity for the second order, 

 and infinite discontinuity for the third. On a space homaloidal for 

 finite figures of one order of infinity, but really of one dimension 

 higher, it was possible to reduce the infinite discontinuity to 

 •continuity. 



3. " Some theorems, concerning geometrical figures in space n 



dimensions, whose (n - 1) dimensional generatrices are n ic 

 functions of their position on an axis, straight, curved, or 

 tortuous," by G. H. Knibbs, f.r.a.s. 



In this paper the author shewed that certain theorems developed 

 in two previous papers, might be extended greatly in generality, 

 and were applicable to quanta determinations in n-dimensional 

 space. The limitations as to the centre of gravity of the generatrix 

 when the axis on which it generates was curved, or tortuous, were 

 discussed, as also those applying to rotations about the axis. It 

 was shewn that a theorem previously published in reference to 



