In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle...

Thales is the namesake of Thales's theorem, and the intercept theorem can also be known as Thales's theorem. Thales was said to have calculated the heights...

The intercept theorem, also known as Thales's theorem, basic proportionality theorem or side splitter theorem, is an important theorem in elementary geometry...

connects the two measured endpoints) of exactly five units in length. Thales' theorem states that an angle inscribed in a semicircle (with a vertex on the...

hypotenuse as its diameter. This is Thales' theorem. The legs and hypotenuse of a right triangle satisfy the Pythagorean theorem: the sum of the areas of the...

line g at or through the point P using Thales's theorem, see the animation at right. The Pythagorean theorem can be used as the basis of methods of constructing...

reciprocals of the original roots. Lill's method can be used with Thales's theorem to find the real roots of a quadratic polynomial. In this example with...

mathematicians, including Eudoxus, Hippocrates of Chios, Thales and Theaetetus, while other theorems are mentioned by Plato and Aristotle. It is difficult...

States 6001 Thales, a main-belt asteroid Thales (crater), a crater on the Moon Thales' theorem, a theorem used in geometry Thales' theorem, (not to be...

intuitively appealing axioms (postulates) and deducing many other propositions (theorems) from these. Although many of Euclid's results had been stated earlier...

and other subjects, coming up with the proof of what is now called Thales' Theorem. An equally enigmatic figure is Pythagoras of Samos (c. 580–500 BC)...

Proclus, a later Athenian philosopher, attributed the theorem now known as Thales's theorem to Thales. He is also known for being the first to claim that...

is constructed to have a diameter of length one, as shown here. By Thales's theorem, ∠ D A B {\displaystyle \angle DAB} and ∠ D C B {\displaystyle \angle...

construction does require the use of the given circle and takes advantage of Thales's theorem. From a given line m, and a given point A in the plane, a perpendicular...

group in GCSE mathematics. These include: Inscribed angle theorem. Thales' theorem, if A, B and C are points on a circle where the line AC is a diameter...

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...

corollaries to Thales's theorem. Pythagoras established the Pythagorean School, which is credited with the first proof of the Pythagorean theorem, though the...

inscribed angle theorem is used in many proofs of elementary Euclidean geometry of the plane. A special case of the theorem is Thales' theorem, which states...

proven to be impossible, as a consequence of the Lindemann–Weierstrass theorem, which proves that pi ( π {\displaystyle \pi } ) is a transcendental number...

ibn Qurra's theorem (amicable numbers) Thales's theorem (geometry) The duality theorem (topology) Thébault's theorem (geometry) Theorem of de Moivre–Laplace...

In Euclidean geometry, the right triangle altitude theorem or geometric mean theorem is a relation between the altitude on the hypotenuse in a right triangle...

vernier scales. This method is based on the Intercept theorem (also known as Thales's theorem). Transversals were used at a time when finely graduated...

“coaxial.” Akopyan & Zaslavsky (2007), p. 59. Schwerdtfeger (1962, pp. 30–31, Theorem A). Dominici; et al. (2021), "Full-Bloch beams and ultrafast Rabi-rotating...

deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos (c...

and thus ∠ A B D = 90 ∘ {\displaystyle \angle ABD=90^{\circ }} , by Thales's theorem. Since △ A B D {\displaystyle \triangle ABD} is a right triangle, sin...

geometric region that further includes all the interior points. By Thales' theorem, any triangle inscribed in a semicircle with a vertex at each of the...

∠AEC are right angles because they are inscribed in semicircles (by Thales's theorem). The quadrilateral ADHE therefore has three right angles, so it is...

Thales is the namesake of Thales's theorem, and the intercept theorem can also be known as Thales's theorem. Thales was said to have calculated the heights...

undefinability theorem Tarski's axioms  See also: List of things named after Alfred Tarski Mathematical logic, Geometry Alfred Tarski Thales's theorem Geometry...

of the circumcircle, the circle passing through all three vertices. Thales' theorem implies that if the circumcenter is located on the side of the triangle...