Page:Carroll (1884).djvu/32

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20

Tabulating these results, we have the following formulæ.


Data. Formulæ.
(a) vs
m + 1 − s
x > se/m + 1
(b) v > s
m + 1 − s
x > ve/m + 1 − s + v
(c) vs
> m + 1 − s
x > se/s + v
(d) v > s
> m + 1 − s
x > e/2


By these formulæ the following Table is calculated. It shows, for a given District, what percentage of the Electors is necessary and sufficient to secure the return of one Candidate, of 2, of 3, &c.

The 2nd line in the 3d section represents the well-known "three-cornered constituency." Observe (by comparing it with the next line) that it makes it too hard for a minority to fill one seat, and too easy for a majority to fill all.