Question 281092
A line segment has endpoints (X1,Y1) and (X2,Y2). Find the expressions in terms of X1,X2,Y1,Y2 for the coordinates of the points that divides the segment into four equal parts. 
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mid-point: [(x1+x2)/2 , (y1+y2)/2]
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mid-point of the mid-point between (x1,y1) and [(x1+x2)/2 , (y1+y2)/2]
= [(3x1+x2))/4),(3y1+y2)/4]
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mid-point of the mid-point between [(x1+x2)/2 , (y1+y2)/2] and (x2,y2)
= [(x1 + 3x2)/4 , (y1 + 3y2)/4]
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cheers,
Stan H.