If equals be added to equals, the sums will be equal.
Axiom 6.
If equals be subtracted from equals, the remainders will be equal.
Axiom 7.
If the halves of two things are equal, the wholes will be equal.
Axiom 8.
Every Whole is equal to the sum of all its parts.
Axiom 9.
From one point to another only one straight line can be drawn.