Thales' theorem

A related result to Thales' theorem is the following:

This is one form of Thales' theorem.

Thales' theorem is a special case of the following theorem:

Thales' Theorem is stated in another article.

Combining Thales' theorem with its converse we get that:

Thales' theorem states that an angle inscribed in a semicircle is a right angle.

Thales' theorem can be used to construct the tangent to a given circle that passes through a given point.

The above calculations in fact establish that both directions of Thales' theorem are valid in any inner product space.

An inscribed angle subtended by a diameter is a right angle (see Thales' theorem).

Book 3 deals with circles and their properties: inscribed angles, tangents, the power of a point, Thales' theorem.

Teorema de Tales (Thales' theorem as a song)

Thales' theorem implies that if the circumcenter is located on one side of the triangle, then the opposite angle is a right one.

The triangle can be inscribed in a semicircle, with one side coinciding with the entirety of the diameter (Thales' theorem).

He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem.

See inscribed angle, the proof of this theorem is quite similar to the proof of Thales' theorem given above.

The converse of Thales' theorem is also valid; it states that a right triangle's hypotenuse is a diameter of its circumcircle.

Thales' Theorem by Michael Schreiber, The Wolfram Demonstrations Project.

Thales' theorem is a special case of the inscribed angle theorem, and is mentioned and proved on the 33 proposition, third book of Euclid's Elements.

A special case of the theorem is Thales' theorem, which states that the angle subtended by a diameter is always 90 , i.e., a right angle.

Proof: Angles BDA, BHC, and AEC are right angles because they are inscribed in semicircles (by Thales' theorem).

Thales' theorem, named after Thales of Miletus states that if A, B, and C are points on a circle where the line AC is a diameter of the circle, then the angle ABC is a right angle.