| Euclides - 1814 - 560 sider
...I. DEFINITIONS. I. P0INT is that which hath no parts, or which hath no Boo' I. magnitude. 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... | |
| Peter Nicholson - 1825 - 1046 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 - 546 sider
...I. DEFINITIONS. I. A POINT is that which hath no parts, or which hath no See Note*, magnitude. II. **A line is length without breadth. III. The extremities...plane superficies is that in which any two points** be- See N. ing taken, the straight line between them lies wholly in that superficies. B VIII. See N.... | |
| John Radford Young - 1827 - 228 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 - 108 sider
...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 - 518 sider
...BOOK r. DEFINITIONS. I. A POINT is that which hath no parts or which hath no See Vo«n. magnitude. II. **A line is length without breadth. III. The extremities...V. A superficies is that which hath only length and** brendth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which... | |
| Robert Simson - 1835 - 544 sider
...that which hath no parts, or which hath no mag- Book I. nitude. ° v—v»' •ft , See Nolus. II. **A line is length without breadth. III. The extremities...The extremities of a superficies are lines. VII. A** plain superficies is that in which any two points being See N. taken, the straight line between them... | |
| Euclid - 1835 - 540 sider
...I. A point is that which hath no parts, or which hath no mag- Book I. nitude. v^y^/ See Notes. II. **A line is length without breadth. III. The extremities...which lies evenly between its extreme points. V. A** super/ides is that which hath only length and breadth. VI. The extremities of a superficies are lines.... | |
| 1836 - 352 sider
...cannot be mistaken for one moment, unless it be by means of the attempt to explain them by saying that **a straight line is ' that which lies evenly between its extreme points.'** The line and surface are distinct species of magnitude, as much so as the yard and the acre. The first... | |
| Euclides - 1838 - 264 sider
...extremities of a line are points; and the intersection of one line with another is also a point. IB. **A straight line is that which lies evenly between its extreme points.** The idea of a geometrical straight line may be gained from that of a physical stretched line or thread.... | |
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