 | Euclides - 1855 - Liczba stron: 270
...line are points. By the extremities of a line, are here meant, the beginning and the end of the line. IV. A straight line is that which lies evenly between its extreme points. " A straight line is" more clearly defined to be " that in which, if any two pointa be taken, the part... | |
 | Robert Rawson - 1856 - Liczba stron: 178
...hath no magnitude. n. A line is length without breadth. m. The extremities of a line are points. TV. 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... | |
 | Euclides - 1856 - Liczba stron: 168
...such as are in the same plane, and being produced ever so far both ways do not meet. A plane surface is that in which any two points being taken, the straight line between them lies wholly within such surface. In neither of these cases does the definition exhibit a simple analysis of the... | |
 | 1856 - Liczba stron: 422
...lines ; and surfaces intersect ot cross each other in lines. A plane turf act, or plane, is a surface in which any two points being taken, the straight line between them lies wholly in that surface ; or, it is that surface with which a ¡traiyht line wholly coincides, when applied to it in... | |
 | Euclides - 1858 - Liczba stron: 248
...two directions. 6. The extremities, or boundaries, of a surface, are lines. 7. — A plane surface is that in which any two points being taken, the straight line joining them lies wholly in that surface. — HERO THE ELDER. " A plane surface is that which lies... | |
 | Robert Potts - 1860 - Liczba stron: 380
...is that which has no parts, or which has no magnitude. n. A line is length without breadth. m. The extremities of a line are points. IV. A straight line...breadth. VI. The extremities of a superficies are lines. vn. A plane superficies is that in which any two points being taken, tne Straight line between them... | |
 | Euclides - 1862 - Liczba stron: 172
...A line is length without breadth. III. The extremities of a line are points. IV. A straight line ia 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... | |
 | Elphinstone Waters Begbie - 1862 - Liczba stron: 96
...so as to form a pike for the soldier. 9. It is an imaginary line along the centre of the barrel. 10. A straight line is that which lies evenly between its extreme points, and a line is length without breadth. 11. No; for although we may draw lines for all practical purposes,... | |
 | Euclides - 1862 - Liczba stron: 140
...but not 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 (or surface) is that which has only length and breadth. 6. The extremities of a superficies... | |
 | Edward Vansittart Neale - 1863 - Liczba stron: 280
...line, which will be considered below. (4) The force of the ancient definition of a plane surface, viz., "that in which, any two points being taken, the straight line between them lies wholly in that surface," becomes apparent. Trendelenberg has suggested that the thought of a plane surface is obtained... | |
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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... 
