| I. N. Herstein, Irving Kaplansky - 1978 - 256 sider
...has no magnitude. 2. A line is length without breadth. 3. The extremities of a line are points. 4. **A straight line is that which lies evenly between its extreme points.** Styles of mathematical exposition have changed. These are highly descriptive phrases, somewhat in the... | |
| David Park - 1990 - 488 sider
...begins his Elements with a group of definitions, such as "a point is that which has no parts," and **"a straight line is that which lies evenly between its extreme points."** Let us not worry about whether these words uniqurly define what they are supposed to define; we know... | |
| Ivor Grattan-Guinness, Gerard Bornet - 1997 - 310 sider
...defined and needing directly or indirectly a supplementary addition. Of this kind is the definition **A straight line is that which lies evenly between its extreme points.*** The idea conveyed is that of similarity and uniformity not only of the different parts of the line... | |
| C.C. Gaither, Alma E Cavazos-Gaither - 1998 - 506 sider
...treatises on that subject. A point is defined to be that "which has no parts and which has no magnitude"; **a straight line is that which "lies evenly between its extreme points."** ... In this case the explanation is a great deal harder than the term to be explained, which must always... | |
| John R. Silvester - 2001 - 332 sider
...has gone before. Thus he starts: l. A poim is that which has no parts, or which has no magnitude. Il. **A line is length without breadth. III. The extremities of a line are** poims, IV. A straight line is that which lies evenly between its extreme poims, The tendency nowadays,... | |
| Julian Seymour Schwinger - 2002 - 274 sider
...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 - 2010 - 386 sider
...(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... | |
| 1874 - 1094 sider
...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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