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  • Thaless theorem - Wikipedia
    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's theorem is a special case of the inscribed angle theorem and is mentioned and proved as part of the 31st proposition in the third book of Euclid 's Elements [ 1 ]
  • Thales’ Theorem – Explanation Examples - The Story of Mathematics
    What is the Thales Theorem? The Thales theorem states that: If three points A, B, and C lie on the circumference of a circle, whereby the line AC is the diameter of the circle, then the angle ∠ABC is a right angle (90°) Alternatively, we can state the Thales theorem as:
  • Thales Theorem - Explanation and Examples - Neurochispas
    Thales’ theorem tells us that the diameter of a circle always forms a right triangle when we connect it to any point located on the circumference of the circle This theorem can be proved by using two isosceles triangles inscribed in a circle and using their angles
  • Thales theorem - Math Open Reference
    Definition of Thales theorem - the diameter of a circle always subtends a right angle to any point on the circle
  • Thales Theorem | Brilliant Math Science Wiki
    Thales' theorem: If a triangle is inscribed inside a circle, where one side of the triangle is the diameter of the circle, then the angle opposite to that side is a right angle The converse of this is also true \(_\square\)
  • Thales theorem - Art of Problem Solving
    Thales' Theorem states that if there are three points on a circle, with being a diameter, This is proven by considering that the intercepted arc is a semicircle and has measure Thus, the intercepted angle has degree measure
  • Thales Theorem - Definition, Application, Examples
    Thales' Theorem states that any triangle formed with a circle's diameter as one side is always a right-angled triangle Learn how to apply Thales' Theorem with clear, step-by-step examples
  • Thales Theorem - Alexander Bogomolny
    A useful theorem attributed to the probably first mathematician ever, Thales of Miletus (ca 624 BC-ca 546 BC) is one of most elementary and intuitive ever stated An angle inscribed in a semicircle is right, and vice versa
  • Thales Theorem – EngineeringTechnology. org
    Thales’ Theorem states that if a triangle is inscribed in a circle where one of its sides is the diameter of the circle, then the angle opposite this side is a right angle (90 degrees) Consider a circle with a diameter AB and any point C on the circle (but not on AB)
  • Thales Theorem - ProofWiki
    Theorem Let $A$ and $B$ be two points on opposite ends of the diameter of a circle Let $C$ be another point on the circle such that $C \ne A, B$ Then the lines $AC$ and $BC$ are perpendicular to each other Proof 1 Let $O$ be the center of the circle, and define the vectors: $\mathbf u = \overrightarrow{OC}$ $\mathbf v = \overrightarrow{OB}$





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