theorem Th52: :: EUCLID_3:52

for n being Element of NAT
for p1, p2, p3, p0 being Point of (TOP-REAL n) st ex a1, a2, a3 being Real st
( p0 = ((a1 * p1) + (a2 * p2)) + (a3 * p3) & (a1 + a2) + a3 = 1 ) holds
p0 in plane (p1,p2,p3)