| Ontario. Legislative Assembly - 1887
...beget within a lover of the beautiful in nature an uncontrollable desire to enter. The definition of **a straight line is " that which lies evenly between its extreme points,"** or "the shortest distance between two extreme points." Fidelity to this definition guides most persons... | |
| Sabine Baring-Gould - 1889 - 323 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 - 515 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... | |
| Euclid - 1892 - 518 sider
...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 - 1893 - 232 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,... | |
| Thomas Aloysius O'Donahue - 1896 - 163 sider
...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 - 1898 - 288 sider
...placed upon that surface, we conclude that the surface is plane. Hence the definition of a plane surface **is that in which, any two points being taken, the straight line** joining these points lies wholly upon the surface. Two straight lines have a relation to one another... | |
| Augustus De Morgan - 1898 - 288 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,... | |
| Charles Wareing Endell Bardsley - 1898 - 612 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... | |
| Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 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... | |
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