 | Sabine Baring-Gould - History - 1889 - 340 pages
...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 pages
...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... | |
 | Euclid - Geometry - 1892 - 460 pages
...without breadth. The extremities of a line are points, and the intersection of two lines is a point. 3. 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. 4. A surface is that which has... | |
 | Paul Carus - Philosophy - 1893 - 254 pages
...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,... | |
 | Thomas Aloysius O'Donahue - Mine surveying - 1896 - 186 pages
...length, breadth, nor thickness. A line is length without breadth. The extremities of a line are points. A straight line is 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,... | |
 | Augustus De Morgan - Algebra - 1898 - 316 pages
...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,... | |
 | Charles Wareing Endell Bardsley - Names, Personal - 1898 - 680 pages
...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... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...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 - Euclid's Elements - 1904 - 488 pages
...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... | |
 | Joseph H. Rose - Sheet-metal work - 1906 - 340 pages
...DEFINITIONS OF PLANE FIGURES. A line is length without breadth. The extremities of a line are points. A straight line is that which lies evenly between its extreme points. A plane surface is that in which any two points, being taken, the straight line between them lies wholly... | |
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A straight line is that which lies evenly between its extreme points. 
