Isosceles (a story)
“Have you heard?", asked Hyperbola. "Hypothesis has
returned from Africa, where he journeyed through a long
Sequence of Lemmas is search of a Hypotenuse.”
“Impossible,” chimed in an Obtuse companion. I have
Circled the entire Sphere and have never been Adjacent
to a Hypotenuse. I tell you, they are Imaginary.”
Soon, Hypothesis arrived. “I am Satisfied,” he reported.
We traveled deep into the jungle, Constructed an Origin
using only Straightedge and Compass, and sent out two
Acute observers bearing Perpendicular Axes. When one had
traveled three Stadia and the other four, they spied a
Hypotenuse running between them.”
“How large was it,” asked Isosceles?
“They are not sure,” said Hypothesis, “since Pythagoras
hasn’t been born yet. But they asserted that it was
Rational and even vouched for its Integrity.”
“How I long to Measure the Hypotenuse,” said Isosceles.
“Unfortunately,” answered Hypothesis, “the sage
Contrapositive has prohibited you from doing so.”
“Why?” asked Hyperbola.
“He foretells that if Isosceles were present, the
measurement would require two observers of Equal Acuity,
and that if these were Rationally placed, the Hypotenuse
would become Irrational, endangering us all.”
Conclusion.
The author should not be allowed to help with the
Geometry homework.
Edward Ordman (c) 2009