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Home » "Proving Grounds Revealed: Shocking Facts You Need to Know Before Competing! - Imagemakers

"Proving Grounds Revealed: Shocking Facts You Need to Know Before Competing! - Imagemakers

📅 May 1, 2026 👤 scraface

May 01, 2026

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📝 Recent Posts

r^2 - c r + rac{c^2}{4} + z^2 = rac{c^2}{4} \quad \Rightarrow \quad...
ight)^2 + z^2 = \left(rac{c}{2}
This is the equation of a **circle** in the \( (r,z) \)-plane, rotated...
Wait: \(\left(r - rac{c}{2}
ight)^2\) is a circle in the \(r\)-axis plane, centered at \(r = c/2,...
Indeed, expand:
r^2 - c r + rac{c^2}{4} + z^2 = rac{c^2}{4} \Rightarrow r^2 + z^2 =...
But \(r^2 + z^2 = x^2 + y^2 + z^2\), and \(r = \sqrt{x^2 + y^2}\), so:
Now square both sides carefully:
This is not a sphere â it's a **quartic surface**. But wait: earlier...

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