ABSTRACT OF PROCEEDINGS. XV. 



The paper contained a number of tables of formulae, and was 

 illustrated by figures shewing the graphs of the functions. It is 

 demonstrated that when the axis is divided into p an even number 

 of parts, and the weight-coefficients suitably determined are 

 identical for sections equidistant from the mid-section, the terminal 

 sections being included, then the integral satisfies a (p+ l) ic function 

 of the variable; but when similarly the axis is divided into an i, 

 odd number of parts, then only an i ic function is satisfied. That 

 is to say when there is a middle section, the function satisfied is 

 of the same degree as when the number of parts into which the 

 axis divided is one greater, there being in the latter case, of course, 

 no middle section. 



2. " On the amyl ester of Eudesmic acid occurring in Eucalyptus 

 Oils," by Henry G. Smith, f.c.s , Assistant Curator, Techno- 

 logical Museum, Sydney. 



In a paper read before this Society, July 1898, on the "Stringy- 

 bark Trees of New South Wales," Mr. R. T. Baker and the author 

 show that an ester was present in the oil of Eucalyptus macro- 

 rhyncha. Since then esters have been found to be present in 

 several Eucalyptus oils. The oil of the "Black Gum" Eucalyptus 

 aggregata contains an ester in large amount 57*7 per cent, being 

 calculated on the assumption that only one ester is present in the 

 oil. Dextropinene is the other principal constituent in this oil, 

 this had a specific rotation [a] D + 27*13. The crude oil of this 

 species is very fluid, and it had, for a Eucalyptus oil, a very high 

 specific gravity 0956 at 15° C, only 2J ounces of oil was obtained 

 from 400 lbs of leaves, so that the yield of oil is very small. 

 Neither phellandrene nor eucalyptol were present in the oil. The 

 alcohol of the ester was found to be amyl alcohol proved by the 

 formation of its characteristic acetate and oxidation \o valeric 

 acid. The acid of the ester is new, it crystallises finely in rhombic 

 prisms and in appearance resembles salicylic acid. It melts at 

 160° O.j sublimes with difficulty unchanged. It is but little soluble 

 in cold water (1 in 1,355 parts) easily soluble in hot water, alcohol, 

 ■ether, acetone, and chloroform ; but insoluble in benzene, carbon 



