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The video focuses on the circumferential angles and central angles of a circle, theorems on central and circumferential angles, including Thales' theorem and its proofs (validation). Circumferential and central angles are related to an arc (continuous part of a circle) or a semicircle (an arc with a length of half the circumference of the circle). We define the central angle as follows: If we have a circle k(S,r) and an arc AB on it, then the angle ASB is called the central angle corresponding to the arc AB. We define the circumferential angle as follows: If we have a circle k, an arc AB on it and a point V, which is an element of the arc BA. Then the angle AVB is called the circumferential angle corresponding to the arc AB. Circumferential and central angles can be useful in geometry in some cases and some mathematical theorems are related to them. Theorem on the congruence of circumferential angles: All circumferential angles corresponding to the same arc AB of the circle k(S,r) are congruent, their size is equal to half the size of the central angle corresponding to the same arc AB. Thales' theorem: All circumferential angles of a circle to the corresponding semicircle AB are right. Theorem on circumferential angles of a smaller and larger arc: For circumferential angles corresponding to arcs AB,BA of the same circle k of sizes alpha and beta, it is true that alpha + beta = 180°. Here I list the book sources from which I drew. 1. POLÁK, Josef. Didactics of mathematics: how to teach mathematics interestingly and usefully. Pilsen: Fraus, 2014. ISBN 9788072384495. Where to find other teaching materials: ► https://uciteleucitelum.cz/materialy-... ► https://www.ucitelnice.cz/fyzikazs Become a member of this channel and get access to these benefits: / @fyzikazs