Reply to Preceding Note by Weller, Crull, and Hynek

1968 ◽  
Vol 153 ◽  
pp. 351 ◽  
Author(s):  
O. J. Eggen
Keyword(s):  
1965 ◽  
Vol 13 (4) ◽  
pp. 680-681 ◽  
Author(s):  
Wayne A. Leeman

1872 ◽  
Vol 7 ◽  
pp. 436-438

The following results were obtained lately while I was considering how most simply to describe by working sections surfaces analogous to that treated in the preceding note. They are so elementary that it is not likely that they can be new, but as they are novel to myself, and to several mathematicians whom I have consulted, I bring them before the Society:—Let two coplanar circles be described, with centres A and B. Take any point, C, in the line of centres, and draw a line CPQ, cutting the circles in P and Q. Find the locus of R, the intersection of AP and BQ.


1940 ◽  
Vol 32 ◽  
pp. vii-xii ◽  
Author(s):  
A. Erdelyi ◽  
I. M. H. Etherington

§ 1. The preceding Note has shown the connection between the partition of a convex polygon by non-crossing diagonals and the insertion of brackets in a product, the latter being more commonly represented by the construction of a tree. It was shown that the enumeration of these entities leads to a generating function y = f(x) which satisfies an algebraic equation of the typeIn simple cases, the solution of the equation was found as a power series in x, the coefficient An of xn giving the required number of partitions of an (n + 1)-gon.


1958 ◽  
Vol 9 (1) ◽  
pp. 79-79
Author(s):  
W. A. Gross
Keyword(s):  

1926 ◽  
Vol 18 (8) ◽  
pp. 724-725 ◽  
Author(s):  
C. J. Willard
Keyword(s):  

1962 ◽  
Vol 69 (3) ◽  
pp. 212
Author(s):  
Frank Harary
Keyword(s):  

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