 | 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 - 1814 - 560 pages
...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...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.... | |
 | 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... | |
 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...object the meaaure of extension. Extension has three dimensions, length, breadth, and thickness. 2. A line is length without breadth. The extremities of a line are called points. A point therefore has no extension. 3. A straight or right line is the shortest way... | |
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...for its object the measurement of space. Space has three dimensions, length, breadth, and height. II. A line is length without breadth. The extremities of a line are called points : a point, therefore, occupies no space. III. A straight line is the shortest distance... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...object the measure of extension. Extension has three dimensions, length, breadth, and thickness. 2. A line is length without breadth. The extremities of a line are called points. A point, therefore, has no extension. 3. A straight or right line is the shortest way... | |
 | Adrien Marie Legendre - Geometry - 1825 - 276 pages
...object the measure of extension. Extension has three dimensions, length, breadth, and thickness. 2. A line is length without breadth. The extremities of a line are called points. A point, thereforCj has no extension. 3. A straight or right line is the shortest way... | |
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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. 
