Imaginary Law Firms, Part 1: Brannock, Foley, and Freeth

This is Charles Brannock, shown next to his device (not to scale).

This is Jack Foley. On the right is a gentleman skilled in his art.

T.J. Freeth (1819-1904), our firm’s founder, was unavailable when the photographer came around, but this is his nephroid. To the right you see an ordinary nephroid lurking in a coffee cup.

You know the ordinary nephroid as the reflected catacaustic of a circle, the involute of Caley’s sextic, and a generally good-natured two-cusped epicycloid. But Freeth’s nephroid is something altogether different: a strophoid of a circle with a double curlicue in the kidney crotch. (Common decency and good taste prevents us from displaying Freeth’s supertrisectrix strophoid.)

For their vision and lasting impact on our society, we salute Messrs. Brannock, Foley, and Freeth.