373]
ON A SPECIAL SEXTIC DEVELOPABLE.
519
The like property exists for curves in space—viz. taking account as above of the
new singularity of the stationary lines, then we have
| (m — 1) (m — 2) — h — /3,
= ^ (r — 1) (r — 2)—y—n —%
= | (r — 1) (r — 2) — x — m — S-,
= 2 (n-l)(n -2)-g-a,
which equations are in fact at once deducible from the above-mentioned system of
six equations between the quantities m, r, n, <x, ¡3, g, h, x, y, and may if we please
be taken for equations of the system.
If from a given curve and torse we derive a second curve and torse, in such
manner that to each point (or plane) of the first figure there corresponds a single plane
(or point) of the second figure—then the corresponding expressions l)(m'— 2)—li'—¡3',
&c., have the same value for the second as for the first figure.
Cambridge, April 11, 1865.