| Euclides - 1814
...v -^v~' II See Notes. A line is length without breadth. III. The extremities of a line are points. **A straight line is that which lies evenly between its extreme points. V. A superficies is that which** hath only length and breadth. The extremities of a superficies are lines. VII. A plane superficies... | |
| Euclides - 1816 - 528 sider
...which hath no parts, or which hath no magnitude. H. See Notes. A line is length without breadth. III. **The extremities of a line are points. IV. A straight...extreme points. . '. .. V. A superficies is that which** hath only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies... | |
| 1816
...fnperficies are therefore lines, and the interactions of fupcrficies with one another are alfo lines. 5. **A PLANE SUPERFICIES is that in which any two points being taken, the** ftraight line between them lies wholly in that fupcrficies. 6. A PLANE RECTILINEAL ANGLE is the inclination... | |
| John Gummere - 1817 - 206 sider
...between any two points. 4. A superficies or surface has length and breadth, but not thickness^ ^1 '' ' 6. **A plane superficies is that in which any two points being taken, the straight line** which joins them lies wholly in that superficies. 7. A plane rectilineal angle is the inclination of... | |
| John Playfair - 1819 - 317 sider
...superficies are lines ; and the intersec" tions of one superficies with another are also lines." V. **A plane superficies is that in which any two points being taken,** thp straight line between them lies wholly in that superficies. VI. A plane rectilineal angle is the... | |
| Peter Nicholson - 1825 - 372 sider
...hath 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.** 5. A superficies is that which hath only length and breadth. 6. The extremities of a superficies are... | |
| Robert Simson - 1827 - 513 sider
...which hath no parts, or which hath no See Note*, magnitude. II. A line is length without breadth. III. **The extremities of a line are points. IV. A straight...its extreme points. V. A superficies is that which** hath only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies... | |
| John Radford Young - 1827 - 208 sider
...by any definition, a better notion of it than the mere mention of its name suggests. Euclid says, " **A straight line is that which lies evenly between its extreme points*;"** a definition which is both unsatisfactory and useless. Others, following Archimedes, define it as "the... | |
| Augustus De Morgan - 1831
...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,... | |
| Euclides - 1834
...lies evenly between its extreme points. V. A superficies is that which hath only length and brendth. **VI. The extremities of a superficies are lines. VII....plane superficies is that in which any two points** be- Sw N. ing taken, the straight line between them lies wholly in that superficies. VIII. " A plane... | |
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