 | Euclides - Geometry - 1841 - 378 pages
...magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. A straigU line is that which lies evenly between its extreme...breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points being taken, the straight line between them... | |
 | Euclides - 1842 - 316 pages
...IL A line is that which has 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 has only length and breadth. VI. The extremities of a superficies are lines. VII. VIII. " A plane angle... | |
 | William Pease - Geometry - 1843 - 80 pages
...theoretical and practical import of the above definitions. III. The extremities of a line are points. IV. A Straight Line is that which lies evenly between its extreme points. Lines are either Straight, Curved, or Mixed. 1. A Curved Line continually changes its direction between... | |
 | Euclid - Geometry - 1845 - 218 pages
...no 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...breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points being taken, the straight line between them... | |
 | Euclides - 1845 - 546 pages
...magnitude. II. A line is length without breadth. III. The extremities of lines are points. IV. A right line is that which lies evenly between its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of superficies are lines. VII. A plane superficies... | |
 | Scottish school-book assoc - 1845 - 444 pages
...but 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...not 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 has only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...not 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 has only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies... | |
 | Euclides - 1847 - 128 pages
...termination — as circles and other curvilinear figures — are not of course taken into the account. 4. A straight line is that which lies evenly between its extreme points. In other words, it is the shortest of all lines which have the same extreme points, according to the... | |
 | Euclides - 1848 - 52 pages
...has no magnitude. II. A line is length without breadth. III. The extremities of lines are points. IV. A straight line is that which lies evenly between its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of superficies are lines. , VII. A plane superficies... | |
| |
A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. VIII. " A plane angle is the inclination of two lines to one " another in a plane, which meet together, but are not 
