As stated, assuming real space of n dimensions, the boundary consists of all points at a distance 1 from the origin. Your statement is confusing? What has f to do with the ball boundary?
I used 'placed' instead of 'resting' and it works. My intent was y is a line segment with ends a and b while x is a line sub segment of y with ends c and d and ##c\ge a,d\le b##
Math qyuestion for AI (Skype) include an expression that x is resting on y (both straight line segments). AI insisted that x coincides with y, while my intent was only placing x on y. Does 'rest' have such a narrow definition?
Gave following to bing chat and chatgpt, Both gave wrong answers. Any thoughts?
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Geometry problem: Semi-circle inside triangle: Triangle with known length sides a, b, c where a is the longest. Place inside the triangle a semi-circle with entire diameter resting...
Gave following to chatGPT and got answer for ;inradius; of triangle, not radius of semicircle! Why?
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Geometry problem: Semi-circle inside triangle: Triangle with known length sides a, b, c where a is the longest. Place inside the triangle a semi-circle...
My answers are ## r=\frac{b\times c}{b+c}sin(A)## and,## x=\frac{a\times c}{b+c},\ x## measured from angle B
I get r as the distance from the diameter center to both other sides points of tangency. I use sine law to get rid of sin(B) and sin(C). AI radius is not radius of semicircle.