$AD^2 = (x - 1)^2 + y^2 + z^2 = 2$

Mon, 04 May 2026 23:54:42 +0000

Understanding the Equation $ AD^2 = (x - 1)^2 + y^2 + z^2 = 2 $: A Geometric Insight The equation $ (x - 1)^2 + y^2 + z^2 = 2 $ defines a fascinating three-dimensional shape ÃƒÂ¢Ã‚Â€Ã‚Â” a sphere ÃƒÂ¢Ã‚Â€Ã‚Â” and plays an important role in fields ranging from geometry and physics to machine learning and computer graphics. This article explores the meaning, geometric interpretation, and applications of the equation $ AD^2 = (x - 1)^2 + y^2 + z^2 = 2 $, where $ AD $ may represent a distance-based concept or a squared distance metric originating from point $ A(1, 0, 0) $. --- ### What Is the Equation $ (x - 1)^2 + y^2 + z^2 = 2 $?