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Home » \sin(\theta) = \frac12. - Get link 4share

\sin(\theta) = \frac12. - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 9c^2 \left(1 - rac{z^2}{x^2 + y^2 + z^2}

📌 ight) = x^2 + y^2 + z^2.

📌 Multiply through:

📌 9c^2 - rac{9c^2 z^2}{x^2 + y^2 + z^2} = x^2 + y^2 + z^2.

📌 Multiply both sides by \(x^2 + y^2 + z^2\):

📌 9c^2(x^2 + y^2 + z^2) - 9c^2 z^2 = (x^2 + y^2 + z^2)^2.

📌 9c^2(x^2 + y^2) = (x^2 + y^2 + z^2)^2.

📌 This is the equation of a **torus** centered along the \(z\)-axis with major radius \(3c\) and minor radius \(3c\), but more precisely, from the original form \(

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