 | Sabine Baring-Gould - 1889 - 340 sider
...points without establishing, in idea, a line between them, indeed, according to Euclid's definition, a. straight line is that which lies evenly between its extreme points, and a line is length without breadth or substance. So, if we conceive of two snails, weestablish a... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...has no magnitude. 2. A Line is length without treadth. 3. The Extremities of a Line are points. 4. A Straight Line is that which lies evenly between its extreme points. 5. A Superficies is that which has only length and breadth. 6. The Extremities of a Superficies are... | |
 | Paul Carus - 1893 - 254 sider
...tendency to regard the path of a ray of light as the prototype of straight lines in geom* Euclid says : "A straight line is that which lies evenly between its extreme points." etry. The fact, however, is that light does not travel in straight lines or on paths of shortest time,... | |
 | 1894 - 330 sider
...or beginning of magnitude, but which has no magnitude, ie has neither length, breadth, or thickness. A Line is length without breadth. The extremities of a line are points. A Straight Line is that * .n which lies evenly between Fi«-1its extreme points, and is the shortest distance between any two... | |
 | Thomas Aloysius O'Donahue - 1896 - 186 sider
...beginning of magnitude, but which has no magnitude, ie has neither length, breadth, nor thickness. A line is length without breadth. The extremities...that which lies evenly between its extreme points, and is the shortest distance between any two points, as AB (Fig. 16). CHAP. Ill II same straight line,... | |
 | Charles Wareing Endell Bardsley - 1898 - 680 sider
...there may be a beauty in an erection which reminds you in perpetuity of the great Euclidian truth that a straight line is that which lies evenly between its extreme points, but at times it puts one in sober mood to think all the touches of a past time are to fade away, and... | |
 | Augustus De Morgan - 1898 - 316 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." Now, let any one ask himself whether he could have guessed what was meant, if, before he began geometry,... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...breadth. 3. The extremities of a line are points, and the intersection of two lines is a point. 4. A straight line is that which lies evenly between its extreme points. Any portion cut off from a straight line is called a segment of it. 5. A surface (or superficies) is... | |
 | Euclid - 1904 - 488 sider
...breadth. 3. The extremities of a line are points, and the intersection of two lines is a point. / 4. A straight line is that which lies evenly between its extreme points. Any portion cut off from a straight line is called a segment of it. 5. A surface (or superficies) is... | |
 | William Hughes - 1908 - 942 sider
...no magnitude : ie a point indicates position only A Line is length without breadth. Its extremities are points. A Straight Line is that which lies evenly between its extreme points. A Plane is that which has only length and breadth, and is such that any two points being given, a straight... | |
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A straight line is that which lies evenly between its extreme points. 
