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properties of the trapezium - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 oxed{rac{1}{3}}

📌 Question: A science communicator is designing a visual demo where a light beam reflects off a parabolic mirror described in spherical coordinates by $

📌 ho = rac{4}{2 + \cos \phi} $. Determine the type of conic section and its orientation.

📌 ho = rac{4}{2 + \cos \phi}.

📌 This is a surface of revolution about the $ z $-axis (since $ \phi $ is the polar angle). To identify the conic, we convert to Cartesian coordinates. Recall:

📌 \cos \phi = rac{z}{

📌 ho}, \quad ext{so} \quad

📌 ho = rac{4}{2 + rac{z}{

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