two points determine a unique straight line
a straight line extends indefinitely far in either direction
a circle may be drawn with any given center and any given radius
all right angles are equal
given a line n and a point p not on that line, there exists in the plane of p and n and through p one and only one line m which does not meet the given line n
things equal to the same thing are equal to each other
if equals be added to equals the sums are equal
if equals be subtracted from equals the remainders are equal
figures which can be made to coincide are equal
the whole is greater than any part
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