| Euclides - 1845 - 546 páginas
...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...has only length and breadth. VI. The extremities of** superficies are lines. VII. A plane superficies is that in which any two points being taken, the straight... | |
| Euclid, James Thomson - 1845 - 382 páginas
...the first book ; which for the sake of this proposition ought to be as follows : — A plane surface **is that in which any two points being taken, the straight line** passing through them lies wholly in I U. t Bin-face. duced to D ; and let any plane pass through AD,... | |
| Scottish school-book assoc - 1845 - 444 páginas
...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 - 1846 - 128 páginas
...I. A point is that which has position, but not magnitude. II. A line is length without breadth. III. **The extremities of a line are points. IV. A straight...VII. A plane superficies is that in which any two** «r C angle; and the straight line which stands on the other, is called a perpendicular to it. XI.... | |
| Euclides - 1846 - 292 páginas
...hath no magnitude. n. A line is length without breadth. nI, The extremities of a line are points. IT. **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 lines. vn. A plane superficies... | |
| Nathaniel Bowditch - 1846 - 854 páginas
...RIGHT LINE, is the shortest distance between the two points which limit its length/is AC. 4 g III. **A PLANE SUPERFICIES is that in which any two points being taken, the straight line between** diem lies wholly in that surface. IV. PARALLEL LINES are such as are in the same plane, and which,... | |
| 1846 - 536 páginas
...definitions of the plane and parallel lines. Thus, the lines being parallel they are in one plane; and **a plane superficies is that in which any two points being taken, the straight line** which joins them lies wholly in that plane, defs. 35 and 7, book i. These are definitions only, and... | |
| Perry Fairfax Nursey - 1846 - 536 páginas
...definitions of the plane and parallel lines. Thus, the lines being parallel they are in one plane ; and **a plane superficies is that in which any two points being taken,** tho straight line which joins them lies wholly in that plane, defs. 35 and 7, book i. These are definitions... | |
| Euclides - 1847 - 128 páginas
...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 páginas
...parts, or which 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...has only length and breadth. VI. The extremities of** superficies are lines. , VII. A plane superficies is that in which any two points being taken, the... | |
| |