Lecture 7 (Geometry) Comparing and Measuring Segments

The Archimedean postulate, as stated in this lecture, guarantees that for any segment AB and any unit segment CD:

1. A.Some natural number of copies of CD either lands exactly on B or passes just beyond it.
2. B.The length of AB in CD-units is always a rational number.
3. C.Some rational multiple of CD is congruent to AB on the nose.
4. D.Infinitely many copies of CD fit inside AB without ever reaching B.