I HAVE read the passage referred to, but for many reasons cannot admit that the argument is conclusive. In the first place, the quotation from Aristotle's “Ethics” has no authority whatever; it has no ...

The Straight Line Euclid's definition of it is worthless, but his axioms remain basically sound. His successors in mathematics have extended his ideas to the curved line and a clearer concept of ...

This command is used to define new lines or to redefine existing lines. If an existing line is redefined then the position of any existing parts whose definition depends on the line will change ...

ON p. 409 your reviewer states that “Euclid says nothing about the extreme points of the line” in his definition of a straight line, but regards “all the points on it.” ...