MHB Visual proof of if ∞=1/0, then 0=1/∞

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The discussion presents a visual proof asserting that if ∞ equals 1/0, then 0 must equal 1/∞. The proof involves rotating the equation counterclockwise by 90 degrees, leading to the equation 8 = -10. After manipulating the equation by subtracting 8, it concludes that 0 equals -18. The proof is then reversed to demonstrate that 0 indeed equals 1/∞. This approach humorously addresses the question of what was divided to reach such conclusions.
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A visual proof of the following statement:

If $\infty=\dfrac{1}{0}$, then $0=\dfrac{1}{\infty}$ .

Proof:

Assume $\infty=\dfrac{1}{0}$. Rotate each side of the equation counterclockwise $90^{\circ}$. We get 8 = −10. Subtract 8, getting 0 = −18. Then rotate both parts back: $0=\dfrac{1}{\infty}$. QED.
 
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anemone said:
A visual proof of the following statement:

If $\infty=\dfrac{1}{0}$, then $0=\dfrac{1}{\infty}$ .

Proof:

Assume $\infty=\dfrac{1}{0}$. Rotate each side of the equation counterclockwise $90^{\circ}$. We get 8 = −10. Subtract 8, getting 0 = −18. Then rotate both parts back: $0=\dfrac{1}{\infty}$. QED.
I think this proof answers the question: "What did you divide by this time??"

-Dan
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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