Day 21: Elements VII-IX
The number theory in Books VII-IX. Between them, they have
102 propositions, prefaced by 22 definitions in Book VII. The
material in these books is probably older than that in Books V and VI
and some results that were proved there for magnitudes are proved in
these books for numbers.
Pay particular attention to the Definitions in Book VII, as well
as Propositions 2, 16 and 19; Book VIII, Propositions 8 and 23, and
IX, Propositions 20, 35 and 36.
Euclid, Elements VII-IX. Heath's version is
on reserve, or you may look at David Joyce's Elements
on the web.
Euclidean Number Theory handout.
On to Day 22.
Up to Ancient
and Classical Mathematics
Last modified: 4 November 2005
Duncan J. Melville
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