Similar Triangles Formed by Diagonals of Quadrilateral in Circle

seeker101
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Is it true that the diagonals of a quadrilateral inscribed in a circle split the quadrilateral into two sets of similar triangles? Is yes, how do we prove this?
 
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I have managed to find the answer to my own question. Thank you!

(If anyone cares, the answer is yes. The proof is straightforward once you know the properties of inscribed angles.)
 

Thread 'Injective immersion and embedding'

Hello! There is a simple line in the textbook. If ##S## is a manifold, an injectively immersed submanifold ##M## of ##S## is embedded if and only if ##M## is locally closed in ##S##. Recall the definition. M is locally closed if for each point ##x\in M## there open ##U\subset S## such that ##M\cap U## is closed in ##U##. Embedding to injective immesion is simple. The opposite direction is hard. Suppose I have ##N## as source manifold and ##f:N\rightarrow S## is the injective...
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