Monday, August 04, 2008

Newton and Euclid

Newton's First Law of Motion

Every body continues in its state of rest or of uniform motion in a straight line unless it is compelled to change that state by forces impressed upon it.

Every body perseveres in its state of being at rest or of moving uniformly straight forward except insofar as it is compelled to change its state by forces impressed.

Euclid's First Two Postulates

To draw a straight line from any point to any point.
(A straight line may be drawn from any point to any point.)

To produce a finite straight line continuously in a straight line.
(A straight line may be extended continuously in a straight line.)

Note: Let us recall what Coxeter said about Euclid's Elements -- essentially that they are a physics text!

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