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How to find the centroid
get the midpoint of one line and the coordinates of the opposite corner
get the equation using these two
repeat for another line and corner
do simulatanous equations
Circumcentre find it
perpendicular bisectors of all lines
midpoint of the side and the perpendicular slope
use these to get the equation of the line
repeat with another side
simulataneous equations
Orthocentre
perpendicular slope of any line and the opposite corner
get the equation of the line
find this again for another side
simulataneous equations
second difference formula
tn = an²+bn+c
2a = the second difference
3rd difference formula
Tn=an³+bn²+cn+d
6a = 3rd difference
how to get r
r=t(n+1)/tn
how to get d
t(n+1) - tn = d