 | Euclides - 1845 - 546 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
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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. vm. "A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same... 
