 | 1874 - 500 σελίδες
...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... | |
 | 1906 - 600 σελίδες
...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. 6. A superficies is that which has only length and breadth. 7. A plane superficies is that in which,... | |
 | 1874 - 546 σελίδες
...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 straiyht. Mr. Wilson adds... | |
 | I. N. Herstein, Irving Kaplansky - 1978 - 256 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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, when first confromed by this, is to start to poke fun. What are these... | |
 | Julian Seymour Schwinger - 2002 - 274 σελίδες
...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 σελίδες
...(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... | |
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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. vm. "A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same... 
