 | 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... | |
 | Robert Potts - 1868 - 434 pages
...that which has no parts, or which has no magnitude. II. A line is length without breadth. III. The extremities of a line are points. IV. A straight 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... | |
 | Septimus Tebay - Measurement - 1868 - 168 pages
...has 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 has length and breadth. 6. A plane superficies is that in which any... | |
 | Hugo Reid - Mathematics - 1872 - 148 pages
...breadth. The edge or boundary of a surface is a line or lines. 15. A PLANE SURFACE, or PLANE, is a surface in which, any two points being taken, the straight line between them lies wholly in that surface ; that is, every point of such straight line touches the surface. A plane is a perfectly flat... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...or no magnitude. II. A line is length without breadth. HI. Points are the extremities of a line. TV. A straight line is that which lies evenly between its extreme points. V. A superficies has only length and breadth. VI. The extremities of a superficies are lines. VII. A plain superficies... | |
 | Edward Atkins - 1874 - 426 pages
...surface) is that which has only length and breadth. 6. The extremities of a superficies are lines. 7. A plane superficies is that in which any two points...the straight line between them lies wholly in that si^perficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...a common segment. Thus, CA cannot be a continuation of both BC and DC. 6. A plane surface or plane is that in which any two points being taken, the straight line between them lies wholly in that surface. Cor.— Hence two plane surfaces cannot enclose a space; nor can one plane surface be the... | |
 | Euclides - 1874 - 120 pages
...has 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 has only length and breadth. 6. The extremities of a superficies are... | |
 | Euclides - 1874 - 342 pages
...has 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. 6. A superficies is that which has only length and breadth. 6. The extremities of superficies are lines.... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...is that which hag no parts, or which has no magnitude. n. A line is length without breadth. IIL The extremities of a line are points. IV. A straight line...that which lies evenly between its extreme points. ..,).,•;,.. 7A superficies is' that which has only length and breadth. ' VL The extremities of a... | |
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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... 
