bob012345's latest activity
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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:
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bob012345 replied to the thread High School Three Squares Problem.Here are some more solutions; In each case, the triangle constructed in green is similar to the triangle highlighted in brown which...
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BBC News once posted a challenging geometry problem from a Chinese maths exam taken aged 16, comparing it to the British exams taken at...
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This problem is another from Martin Gardner’s book Mathematical Circus but originates from a fourth grade extra credit question in a...
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Just another graphical approach:
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bob012345 replied to the thread Undergrad Three Circle Problem.
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bob012345 replied to the thread Undergrad Three Circle Problem.Here is another simple visual demonstration. The yellow is the original shaded region. The yellow plus blue is exactly half a circle...
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bob012345 replied to the thread Undergrad Three Circle Problem.The yellow area is half the original shaded area. Sorry, I should have made that more clear. I edited my post above.
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Yes, this is how you are supposed to solve that. It's similar to solving that one: Which area is greater, the red or the blue one?
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