Is there any geometrically simple reason why the inradius of a triangle should be at most half its circumradius? I end up wanting the fact for this answer...

I have been thinking of this problem for the post 3-4 hours, I have come up with this problem it is not a home work exercise Let's say I have 3 coins...

I am currently an upper division math student who is looking for a challenging book on set theory that does not assume much preliminary knowledge about se...

I know that it's given by $\vec r= \vec a + \lambda\vec b$. But why ? According to the derivation (as given in the image), I derived by observation t...

I am calculating a recursive equation: $X_n = \frac{1}{2}(X_{n-1} + \frac{3}{X_{n-1}})$ I need a free online calculator that can calculate for $n=7$ $(1/2...

Suppose that two smooth surfaces $S$ and $\tilde{S}$ are diffeomorphic and that $S$ is orientable. I want to prove that $\tilde{S}$ is orientable. $$$$ Si...

Gday, I have a question regarding scientific notation. Today I learnt that $a\operatorname{\mathbf{E}}b$ is the same as $a\cdot10^b$ and since myself and ...

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There is a $1\times 1$ unit-square with diagonals from each corner. This square contains $8$ total triangles. Now, if we expanded to an $n\times n$ square...

This question is already asked in here but i can't find a satisfactory answer. The question (in the title) arise from the following definition (i...