| Euclides - 1863 - 122 pages
...that which has no parts, or which has no magnitude. II. A line is length without breadth. III. Tho extremities of a line are points. IV. A straight line...its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies... | |
| Euclides - 1864 - 448 pages
...GEOMETRY. BOOK I. DEFINITIONS. L A POINT is that which has no parts, or which has no magnitude. II. A line is length without breadth. III. The extremities...its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of a superficies are lines. vn. A plane superficies... | |
| Euclides - 1864 - 262 pages
...POINT is that which has no parts, or which has no magnitude. II. A line is length without breadth. m. The extremities of a line are points. IV. A straight...its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies... | |
| Robert Potts - 1865 - 528 pages
...POINT 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...its extreme points. V. A superficies is that which has only length and breadth. VI. The extremities of a superficies are lines. vn. A plane superficies... | |
| Walter Marsham Adams - 1866 - 114 pages
...each three consecutive points is equal to the negative. And this is what is meant by the definition : "A straight line is that which lies evenly between its extreme points." CHAPTER XI. THE STKAIGHT LINE CONTINUED. SINCE the law of motion in a straight line fixes the third... | |
| Edward Clarke Lowe - 1866 - 172 pages
...or 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 super/ides is that which hath only length and breadth. 6. The extremities of a superficies are... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...•magnitude. 'i2. A line is length without breadth. 3. The extremities of a line are points. -t ' 4. A straight line is that which lies evenly between its extreme points. 5. A superficies is that which has only length and breadth. 6. The extremities of a superficies are... | |
| Charles Knight - Encyclopedias and dictionaries - 1867 - 530 pages
...of the word, followed by an assumption of a mathematical property under the shape of an axiom. Thus a straight line is " that which lies evenly between its extreme points ;" while the real definition, or distinction between straightness and every thing else is contained... | |
| Encyclopedias and dictionaries - 1867 - 526 pages
...of the word, followed by an assumption of a mathematical property under the shape of an axiom. Thus a straight line is " that which lies evenly between its extreme points ;" while the real definition, or distinction between straightuess and every thing eke ia contained... | |
| Robert Potts - 1868 - 434 pages
...GEOMETRY. BOOK I. DEFINITIONS. L A POINT is that which has no parts, or which has no magnitude. II. A line is length without breadth. III. The extremities...line is that which lies evenly between its extreme poin'.s. V. A superficies is that which has only length and breadth. VI. The extremities of a superficies... | |
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