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postulate 1

two points determine a unique straight line

postulate 2

a straight line extends indefinitely far in either direction

postulate 3

a circle may be drawn with any given center and any given radius

postulate 4

all right angles are equal

postulate 5

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

postulate 6

things equal to the same thing are equal to each other

postulate 7

if equals be added to equals the sums are equal

postulate 8

if equals be subtracted from equals the remainders are equal

postulate 9

figures which can be made to coincide are equal

postulate 10

the whole is greater than any part