| Edward Atkins - 1874 - 428 pages
...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...between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in... | |
| Edward Atkins - 1874 - 426 pages
...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...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... | |
| Euclides - 1874 - 342 pages
...its extreme points. 6. A superficies is that which has only length and breadth. 6. The extremities of superficies are lines. 7. A plane superficies is that...between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to each other in a plane, which meet together, but are not in... | |
| 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
...in every direction and perfectly smooth in every part, we can easily imagine a " Plane superficies in which any two points being taken, the straight line between them shall lie wholly in that superficies." Def. 7. This notion or conception is what Euclid means by a... | |
| Edward Atkins - 1876 - 130 pages
...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...between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in... | |
| Robert Potts - Geometry - 1876 - 446 pages
...superficies is' that which has only length and breadth. ' VL The extremities of a superficies are lines. VIL A plane superficies is that in which any two points being taken, tho straight line between them lies wholly in that superficies. VIIL A plane angle is the inclination... | |
| Euclides - 1877 - 58 pages
...straight line is a line which lies evenly between its extreme points. 5. A superficies is that which has only length and breadth. 6. The extremities of a superficies...rectilineal angle is the inclination of two straight lines to one another, which meet together but are not in the same straight line. An angle is generally expressed... | |
| Edward Atkins - 1877 - 72 pages
...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...between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in... | |
| Moffatt and Paige - 1879 - 428 pages
...its extreme points. 5. A superficies is that*which has only length and breadth. 6. The extremities of superficies are lines. 7. A plane superficies is that...between them lies wholly in that superficies. 8. A plane angle is the inclination of two lines to each other in a plane, which meet together, but are not in... | |
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