Midpoint & Endpoint Help

ej_heals said:
How do i find two endpoints of an interval if i am given the midpoint?
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If all you have is the point in the middle, then there is no way to find the endpoints, since one can extend the interval equally far on either side, and obtain an interval whose midpoint matches the one you've been given. So, lacking additional information, there is no way to proceed. Sorry. ;)
 
ej_heals said:
How do i find two endpoints of an interval if i am given the midpoint?
Click to expand...

Just to be a little more definitive than stapel, I will do a bit of rambling. How do you find the midpoint? Well let B be the beginning, E be the end, and M be the midpoint. Then
M = 0.5 (E-B)
E = 2 M + B
B = E - 2 M
are all equivalent equations. Notice that no matter what you put on the left hand side, you need two values on the right hand side. Well, suppose we are also given the distance d between the the end point and the mid point
d = E - M
then we can write
B = (E - M) - M = d - M
and
E = 2M + (d - M) = d + M

So, if we are given a midpoint M and choose any distance d we would like between the mid point and end point d, we have
B = d - M
E = d + M
 
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