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JamesJM
Never the less you are using an arbitrary definition of 'center' to arrive at that conclusion, and I'm saying there is no mathematical foundation for doing that... mathematics only pop when you arbitrarily set a definition of 'center'.
Getting back to being a bit metaphysical: Think of this example... take one finger and then swing a hula hoop around your finger, (assuming you can do so without moving your finger)... your finger is the center point, right? But now imagine a point on the diameter of the hula hoop and it's stationary... now everything is moving around said point, including your finger.
It's a legit, mathematically sound, supposition.
It's not arbitrary, it's math based.
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cen·ter
ˈsen(t)ər/Submit
noun
1.the middle point of a circle or sphere, equidistant from every point on the circumference or surface.
We're just using the word center differently.
Now according to the definition I am using, your finger would be at the center of A circle but the hoop itself would not BE the circle in question. There would be a circle if you added up all the motions of the hula hoop. So its widest swing to your left together with the widest swing to the right, etc. All those outer points taken together would form a circle, though the hoop itself would vary its position within that circle. Your finger, if it stayed basically in the same place, would be the center of THAT circle.
And whatever little critter sitting at the edge of the hula hoop would be traversing different points on the outer circle the hula hoop makes. It's always at the edge of the same circle (that circle not being the hoop but its motion and the points it reaches at its widest all added up to form a geometric outer edge or circumference.)
But that's the definition I was using!
So let me ask you a question.
If you were standing still and turned on a flashlight, the light would travel at a certain speed. But what if you were in a rocket that had a window at its very tip, and you got launched, and were going thousands of miles an hour. You go to the window at the tip of the rocket, and turned on the same flashlight. Would the light being going the same speed when you were stationary PLUS the speed of the rocket?
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Edited 2 time(s). Last edit at 06/30/2017 03:32PM by zn.