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Home » This is a **circular cylinder**? No â it's quadratic. But geometrically, the surface \( - DNSFLEX

This is a circular cylinder? No â it's quadratic. But geometrically, the surface \( - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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\left(a - \frac{3d}{2}\right)^2 + \left(a + \frac{3d}{2}\right)^2 = 2a...
The sum of all four terms is:
The square of the sum is $ (4a)^2 = 16a^2 $.
2a^2 + \frac{9d^2}{2} = 16a^2
\Rightarrow \frac{9d^2}{2} = 14a^2
\Rightarrow d^2 = \frac{28a^2}{9}.
The third term is $ a + \frac{d}{2} $, and the first term is $ a - \fr...
\frac{\text{third term}}{\text{first term}} = \frac{a + \frac{d}{2}}{a...
Substitute $ d^2 = \frac{28a^2}{9} \Rightarrow d = a\sqrt{\frac{28}{9}...
\frac{a + \frac{1}{2} \cdot \frac{2a\sqrt{7}}{3}}{a - \frac{3}{2} \cdo...

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