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Updated: May 23, 2025
"This thing has gone far enough! Come. Stop your talk, and answer me a few questions. What do you want of this cord, Barbican?" "To describe a parabolic curve!" "And what are you going to do with the ruler, M'Nicholl!" "To help draw a true hyperbola!" "Promise me, Barbican, that you're not going to lasso the Captain!" "Lasso the Captain! Ha! ha! ha!"
These equations represent, in Cartesian co-ordinates, and with rectangular axes, the conics by the intersection of which two and two Menaechmus solved the problem; in the case of the rectangular hyperbola it was the asymptote-property which he used. We pass to Euclid's times.
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