 | Euclides - 1814 - 560 pages
...v -^v~' II See Notes. A line is length without breadth. III. The extremities of a line are points. A straight line is that which lies evenly between its extreme points. V. A superficies is that which hath only length and breadth. The extremities of a superficies are lines. VII. A plane superficies... | |
 | Euclides - 1816 - 588 pages
...which hath no parts, or which hath no magnitude. H. See Notes. A line is length without breadth. III. The extremities of a line are points. IV. A straight...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... | |
 | Encyclopedias and dictionaries - 1816 - 764 pages
...fnperficies are therefore lines, and the interactions of fupcrficies with one another are alfo lines. 5. A PLANE SUPERFICIES is that in which any two points being taken, the ftraight line between them lies wholly in that fupcrficies. 6. A PLANE RECTILINEAL ANGLE is the inclination... | |
 | John Gummere - Plane trigonometry - 1817 - 392 pages
...between any two points. 4. A superficies or surface has length and breadth, but not thickness^ ^1 '' ' 6. A plane superficies is that in which any two points being taken, the straight line which joins them lies wholly in that superficies. 7. A plane rectilineal angle is the inclination of... | |
 | John Playfair - 1819 - 354 pages
...superficies are lines ; and the intersec" tions of one superficies with another are also lines." V. A plane superficies is that in which any two points being taken, thp straight line between them lies wholly in that superficies. VI. A plane rectilineal angle is the... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...hath 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... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...which hath no parts, or which hath no See Note*, magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. A straight...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... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 pages
...by any definition, a better notion of it than the mere mention of its name suggests. Euclid says, " A straight line is that which lies evenly between its extreme points*;" a definition which is both unsatisfactory and useless. Others, following Archimedes, define it as "the... | |
 | Augustus De Morgan - 1831 - 108 pages
...on that subject. A point is defined to be that " which has no parts, and which has no magnitude ;" a straight line is that which " lies evenly between its extreme points." Now, let any one ask himself whether he could have guessed what was meant, if, before he began geometry,... | |
 | Euclides - 1834 - 518 pages
...lies evenly between its extreme points. V. A superficies is that which hath only length and brendth. VI. The extremities of a superficies are lines. VII....plane superficies is that in which any two points be- Sw N. ing taken, the straight line between them lies wholly in that superficies. VIII. " A plane... | |
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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... 
