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 October 10th, 2019, 03:01 AM #1 Senior Member   Joined: Dec 2015 From: somewhere Posts: 734 Thanks: 98 Distance from point Given point in space $\displaystyle P(x_0 , y_0 , z_0 )$ , find the minimal distance between point and sphere: $\displaystyle (x - a)^2 + (y - b)^2 + (z - c)^2 = r^2$.
 October 10th, 2019, 03:21 AM #2 Senior Member   Joined: Mar 2015 From: Universe 2.71828i3.14159 Posts: 132 Thanks: 49 Math Focus: Area of Circle The minimal distance between point and sphere lies on a line which passes through the center of the circle. So, find the length of the segment PC (C is the center of the sphere), then subtract r. $MinimalDistacle=|PC-r|$ Thanks from idontknow and DarnItJimImAnEngineer Last edited by skipjack; October 10th, 2019 at 06:39 AM.
 October 10th, 2019, 03:59 AM #3 Senior Member   Joined: Dec 2015 From: somewhere Posts: 734 Thanks: 98 The problem looks hard but it is easily solved .

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