| John Playfair - 1855 - 340 σελίδες
...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,... | |
| Euclides - 1856 - 168 σελίδες
...straight lines are 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... | |
| Robert Rawson - 1856 - 178 σελίδες
...hath only length and breadth, VI. The extremities of a superficies are lines. vn. A plane superficies is that in which any two points being taken, the straight 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... | |
| 1856 - 422 σελίδες
...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 every... | |
| 1858 - 402 σελίδες
...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 being taken, the straight line between them lies wholly in that superficies. Example: the headpiece of a young peer, which lies wholly between the Opera-house and... | |
| Euclides - 1858 - 248 σελίδες
...is extension in 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... | |
| Euclides - 1862 - 172 σελίδες
...hath only length and breadth. VI. The extremities of a superficies are lines. VII. 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... | |
| Euclides - 1863 - 122 σελίδες
...has only length and breadth. VI. The extremities of a superficies are lines. VII. 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... | |
| Edward Vansittart Neale - 1863 - 280 σελίδες
...line, which will be considered below. (4) The force of the ancient definition of a plane surface, viz., "that in which, any two points being taken, the straight line between them lies wholly in that surface," becomes apparent. Trendelenberg has suggested that the thought of a plane surface is obtained by conceiving... | |
| Euclides - 1863 - 74 σελίδες
...thickness. 6. The extremities of a superficies are lines. 7. A plane surface, (planus, level, flat,) is that in which any two points being taken, the straight line joining them lies wholly in that surface. — HERON. „ " A plane surface is that which lies evenly,... | |
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