| Euclid - 1835 - 513 sider
...parts, or which hath no mag- Book I. nitude. v^y^/ See Notes. II. A line is length without breadth. III. **The extremities of a line are points. IV. A straight...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.... | |
| Robert Simson - 1835 - 513 sider
...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 lines. VII. A** plain superficies is that in which any two points being See N. taken, the straight line between them... | |
| 1836
...placed upon that surface, we conclude that the surface is plane. Hence the definition of a plane surface **is that in which, any two points being taken, the straight line** joining these points lies wholly upon the surface. Two straight lines have a relation to one another... | |
| 1836
...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... | |
| Euclid - 1838 - 416 sider
...THE ELEMENTS OF EUCLID. BOOK I. DEFINITIONS. I. A POINT is that which hath no parts, or which hath **no magnitude. n. A line is length without breadth....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... | |
| Euclides - 1838
...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.... | |
| Euclides - 1841 - 351 sider
...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 points. V. A superficies is that which** hath only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies... | |
| Euclides - 1842
...which has no parts, or which has no magnitude. IL A line is that which has length without breadth. III. **The extremities of a line are points. IV. A straight...VI. The extremities of a superficies are lines. VII.** VIII. " A plane angle is the inclination of two lines to one another " in a plane : the lines meeting,... | |
| William Pease - 1843 - 68 sider
...attainment, is a clear comprehension of the theoretical and practical import of the above definitions. III. **The extremities of a line are points. IV. A Straight...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 - 1845 - 199 sider
...is that which hath no parts, or which hath no 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... | |
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