-
reciprocity being another contender for that distinction); the book The
Pythagorean Proposition contains 370 proofs. This
proof is
based on the proportionality...
-
appears as the 231st
proof in The
Pythagorean Proposition, a
compendium of 370
different proofs of the
Pythagorean theorem. In the figure, A B C {\displaystyle...
- A
Pythagorean triple consists of
three positive integers a, b, and c, such that a2 + b2 = c2. Such a
triple is
commonly written (a, b, c), a well-known...
- theory, a
probability distribution.
Elisha Scott Loomis. "The
Pythagorean proposition: its
demonstrations analyzed and classified, and
bibliography of...
-
Scott (1968), The
Pythagorean Proposition, The
National Council of
Teachers of Mathematics.
Contains 365
proofs of the
Pythagorean Theorem. Monastyrsky...
-
theorem should not be
confused with
proposition 48 in book 1 of Euclid's Elements, the
converse of the
Pythagorean theorem,
which states that if the square...
- geometry, a Bride's
Chair is an
illustration of the
Pythagorean theorem. The
figure appears in
Proposition 47 of Book I of Euclid's Elements. It is also known...
- Euclid's
proof of his
Proposition 13
proceeds along the same
lines as his
proof of
Proposition 12: he
applies the
Pythagorean theorem to both
right triangles...
- corollary,
rather than
proposition or theorem, is
intrinsically subjective. More formally,
proposition B is a
corollary of
proposition A, if B can be readily...
- know the
Pythagorean theorem, but that "there is no
evidence that they used it to
construct right angles". The
following are all the
Pythagorean triple...
