“Did you want to walk?”
He nods, looking eager for the first time. Yes, in the moonlight, he can pass for mortal.
“I’ll set the next batch,” and that’s a matter of a few minutes, and then she closes the drawers, gathers her things—which are scant, a small pouch on a belt, with her keys and some other things in it, much as a purse was in my day—and they walk out, through the slices of moonlight bisected by window-frames, lying parallel on the dark tile.
Parallels. I feel a need tonight for the music of Gauss, once I settle the matter of lunch. Or perhaps Saccheri’s Euclid Vindicated. There’s a certain drama in a reductio ad absurdum on that which turns out to be the full range of possibilities.
Notes: Saccheri (18th century) and Gauss (18th-19th century) wrote on non-Euclidean geometry, with their respective works produced almost exactly a hundred years apart. Saccheri’s Euclid Vindicated attempts to prove Euclid’s parallel postulate by assuming its negation and proceeding to a contradiction, which resulted in the production of many of the theorems of elliptic and hyperbolic geometry.