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...

his time. Thales thought the Earth floated on water. In mathematics, Thales is the namesake of Thales's theorem, and the intercept theorem can also be...

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

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...

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...

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...

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...

intuitively appealing axioms (postulates) and deducing many other propositions (theorems) from these. One of those is the parallel postulate which relates to parallel...

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...

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

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...

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...

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

These include Pythagorean theorem, Thales' theorem, the Euclidean algorithm for greatest common divisors, Euclid's theorem that there are infinitely many...

In geometry, Apollonius's theorem is a theorem relating the length of a median of a triangle to the lengths of its sides. It states that the sum of the...

Symphonic theorem (triangle geometry) Tangent-secant theorem (geometry) Thales's theorem (geometry) Thébault's theorem (geometry) Theorem of the gnomon...

triangle. The theorem can also be thought of as a special case of the intersecting chords theorem for a circle, since the converse of Thales' theorem ensures...

6001 Thales, a main-belt asteroid Thales (crater), a crater on the Moon Thales' theorem, in geometry: angle in a semicircle is 90° Thales' theorem, in...

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

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

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...

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...

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

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...

historians is that the discoveries Thales and Pythagoras are credited with, such as Thales' Theorem, the Pythagorean theorem, and the Platonic solids, are...

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...

Sanskrit Vyākaraṇa predates Pāṇini). 600 BC: Thales of Miletus is credited with proving Thales's theorem. 600 BC: Maharshi Kanada gives the ideal of the...

An inscribed angle subtended by a diameter is a right angle (see Thales' theorem). The diameter is the longest chord of the circle. Among all the circles...

∠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...