Mathematical philosophy, a study of fate and freedom; lectures for educated laymen, by Cassius J. Keyser.

POSTULATES 4
Physically, the book, as you observe, is small and light;
but spiritually it is big and weighty. Except for some
harmless abbreviations of statement, the postulates together with the definition of certain terms occurring in
them are as follows:
Postulates of Connectio-i
(i) Two distinct points determine a straight line.
(2) Any two points of a straight line determine it.
(3) Three non-collinear points determine a plane.
(4) Any three non-collinear points of a plane determine it.
(5) If two points of a line are in a plane, every point
of the line is in the plane.
(6) If two planes have one common point, they have
another.
(7) Every straight line contains at least two points;
every plane at least three non-collinear points; and space
at least four points not lying in a plane.
Postulates of Order
(8) If A, B, C are points of a straight line and B is
between A and C, then B is between C and A.
(9) If A and C are two points of a straight line, there
is a point B between A and C, and a point D such that C
is between A and D.
(Io) Of any three collinear points, one, and but one,
is between the other two.
(i ) Any four collinear points, A, B, C, D, can be so
arranged that B shall be between A and C and between
A and D, and that C shall be between A and D and
between B and D.