I have to "show" that the mid point co-ordinate of a line segment given by (x1,y1) and (x2,y2) is equal to ([x1+x2]/2,[y1+y2]/2). My solution I thought was quite simple:
I have "shown" that x2 is the mid point between x1 and x3 and that this can by calculated by [xi + xj]/2, and this clearly can apply to the y dimension also.
Now, for the real mathematicians solution, this question comes from Morris Kline's "Calculus an intuitive approach", solution is based on figure from this book.
So my original question was why does 3 points in the y dimension being parallel, given 1 point cuts the traversal in half, mean the traversal in the x dimension is cut in half?
Second question is what the hell is going on with the analysis of [(x2-x1)/2] + x1 = (x1+x2)/2?
Also, how can y3 be the median of the trapezoid? In what way are we referring to the middle number?
Cheers!