 | David Steel - 1805 - 392 pages
...of lines. Lines are either right, or curved, or mixed of these two. A right or straight line is one which lies evenly between its extreme points, and is the shortest distance between those points. A curve continually changes its direction between its extreme points. Parallel lines... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...nitude- No'es. 11» A line is length without breadth. III. The extremities of a line are points. , IV. 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.... | |
 | John Mason Good - 1813 - 714 pages
...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 extremitin of a superficies are... | |
 | George Adams - Geometry - 1813 - 648 pages
...considered by geometricians, as that which has no parts or magnitude. A line is length without breadth. A straight line is that which lies evenly between its extreme points or ends. A superJicics is that which has only length and breadth. A plane angle is an opening, or comer,... | |
 | Euclides - 1816 - 588 pages
...magnitude. H. See Notes. A line is length without breadth. III. The extremities of a line are points. IV. A straight line is that which lies evenly between its extreme points. . '. .. V. A superficies is that which hath only length and breadth. VI. The extremities of a superficies... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 pages
...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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...Note*, magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. A straight line is that which lies evenly between its extreme points. V. A superficies is that which hath only length and breadth. VI. The extremities of a superficies are... | |
 | Augustus De Morgan - 1831 - 108 pages
...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 - 1835 - 540 pages
...v^y^/ See Notes. II. A line is length without breadth. III. The extremities of a line are points. IV. A straight line is that 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... | |
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A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. 
