bob012345's latest activity
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bob012345 replied to the thread Undergrad Three Circle Problem.It can be shown that the yellow figure of the last graphic in post #8 can be completely contained in the blue figure. Take off an... -
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Graphing gives a visual answer but doesn't really prove anything. Let AO be area of the circles = pi x r^2 Let AT be area of the...
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I finished - and printed - my collection of short stories! There Be Monsters A collection of fantastical maritime-themed short stories...
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The equation ## C=A+B ## is actually Euler's formula $$ \arctan\frac12+\arctan\frac13=\frac\pi4 $$, and there are three more formulas of...
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bob012345 replied to the thread High School Three Squares Problem.Here is another way but it’s just a variation of @coquelicot above in post #7 but the lengths are not obvious so they must be...
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Based on the previous posts, it can also be shown that A+B+C=D for the angles A, B, C, and D in the next picture. Or A+B+C+D=E for...
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bob012345 reacted to Steve4Physics's post in the thread High School Three Squares Problem with
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The solution below is not mine – I saw it on YouTube, here. This is just my summary. 1. Add 3 squares and consider the triangle... -
Just another approach:
