If then one should assume that the angle is equal to the angle without claiming generally that angles of semicircles are equal; and again if one should assume that the angle is equal to the angle, without the additional assumption that every angle of a segment is equal to every other angle of the same segment; and further if one should assume that when equal angles are taken from the whole angles, which are themselves equal, the remainders and are equal, he will beg the original position, unless he also assumes that when equals are taken from equals the remainders are equal.