 | Julian Seymour Schwinger - Science - 2002 - 274 pages
...points, straight lines, circles, ellipses, and triangles. From Book l of the Elements: Definition 4, 1. A straight line is that which lies evenly between its extreme points. lt is quoted, not for its clarity, but its spirit. We would say that a straight line is the shortest... | |
 | Laura J. Snyder - Science - 2010 - 386 pages
...(within Euclidean geometry) only because of how Euclidean geometry defines "straight line" (that is, "A straight line is that which lies evenly between its extreme points"). The axiom would not even be true, let alone necessary, if our geometry defined "straight line" as one... | |
 | Physics - 1874 - 1094 pages
...a definition is to be attempted at all, it would be hard to produce a better than the old one — " A straight line is that which lies evenly between its extreme points ;" but, of course, the word evenly as much requires definition as the word straight. Mr. Wilson adds... | |
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A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. 
