THIS Tale originally appeared as a serial in The Monthly Packet beginning in April 1880. The writer's intention was to embody
in each Knot (like the medicine so dexterously, but ineffectually, concealed in the jam of our early childhood) one or more
mathematical questions--in Arithmetic, Algebra, or Geometry, as the case might be--for the amusement, and possible
edification, of the fair readers of that magazine.
L. C.
December 1885
KNOT ONE
EXCELSIOR
Goblin, lead them up and down
THE ruddy glow of sunset was already fading into the sombre shadows of night, when two travelers might have been observed
swiftly--at a pace of six miles in the hour--descending the rugged side of a mountain; the younger bounding from crag to crag
with the agility of a fawn, while his companion, whose aged limbs seemed ill at ease in the heavy chain armour habitually worn
by tourists in that district, toiled on painfully at his side.
As is always the case under such circumstances, the younger knight was the first to break the silence.
`A goodly pace, I trow!he exclaimed. `We sped not thus in the ascent!Goodly, indeed!'' the other echoed with a groan. `We clomb it but at three miles in the hour.And on the dead level our pace is--?'' the younger suggested; for he was weak in statistics, and left all such details to his
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