 | William Pease - 1843 - Liczba stron: 80
...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 Line...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 - Liczba stron: 218
...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 line...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 - 1845 - Liczba stron: 546
...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... | |
 | Scottish school-book assoc - 1845 - Liczba stron: 444
...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... | |
 | Euclid, James Thomson - 1845 - Liczba stron: 382
...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,... | |
 | Great Britain. Admiralty - 1846 - Liczba stron: 128
...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 line...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 - Liczba stron: 292
...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 - Liczba stron: 854
...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,... | |
 | Reynell Coates - 1846 - Liczba stron: 692
...point to another will be entirely within the surface. Hence the following definition. A plane surface is that in which any two points being taken, the straight line between them lies wholly within that surface. Such surfaces when considered indefinitely, are usually called simply — planes.... | |
 | 1846 - Liczba stron: 536
...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... | |
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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. VIII. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same... 
