| Euclides - 1853 - 146 pages
...superficies is that which has only length and breadth. VI. The extremities of a superficies are lines. VII. A plane superficies is that in which any two points...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,... | |
| J. A. Beil - 1855 - 756 pages
...that has length and breadth only) (Geom.) * Die Flache, Oberflciche * Surface,/. The plane surface (that in which any two points being taken the straight line between them lies wholly in that surface) * Die Ebenc, die ebene Flache « Plan, m. The curved surface (that which gives a curve, when... | |
| Electronic journals - 1854 - 816 pages
...than two right angles. 5. All straight lines are equal to one another. 6. A plane superficies is one in which any two points being taken, the straight line between them lies wholly in that superficies. (It is called in Euclid a definition, and is there redundant.) I need hardly add, that all other so-called... | |
| John Playfair - Euclid's Elements - 1855 - 340 pages
...of " one superficies with another are also lines." 5. A plane superficies is that in which any twc points being taken, the straight line between them lies wholly in that superficies. 6. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,... | |
| Euclides - 1855 - 262 pages
...extremities of a superficies or surface, are here meant, the boundaries or edges of the surface. VII. A plane superficies is that in which any two points being taken, tho straight line between them lies wholly in that superficies. A plane superficies, or simply, a plane,... | |
| Robert Rawson - 1856 - 200 pages
...superficies is that which hath only length and breadth, VI. The extremities of a superficies are lines. vn. A plane superficies is that in which any two points...line between them lies wholly in that superficies. vin. " A plane angle is the inclination of two lines to one another in a plane, which meet together... | |
| 1856 - 422 pages
...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 - 1856 - 168 pages
...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... | |
| 1858 - 402 pages
...however dull, crosses or intersects another, you will find they do so at the points or pockets still. v. A plane superficies is that in which any two points...line between them lies wholly in that superficies. Example: the headpiece of a young peer, which lies wholly between the Opera-house and the race-course;... | |
| Euclides - 1858 - 248 pages
...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... | |
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