| John Playfair - Mathematics - 1806 - 320 pages
...intersections of one superficies with another are also lines." Book IV v-*~»"WA plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. VI. A plane rectilineal angle is the inclination of two straight lines to one another,... | |
| John Gummere - Surveying - 1814 - 398 pages
...points. 5. A superficies or surface has length and breadth, but thickness. 6. A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. -- , t 7- A plane rectilineal angle is the inclination of two straight lines to one another,... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...spherical, cylindrical, conical, and many others. According to this definition, a plane superficies "is that in which any two points being taken, the straight line between them lies wholly in that superficies;" the term " plane," in popular language, means that which is perfectly fiat, or level)... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...the intersec" tions of one superficies with another are also lines." V. A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. VI. A plane rectilineal angle is the inclination of two straight lines to one another,... | |
| Euclid - 1822 - 222 pages
...learned Robert Simson gives a different definition of a plane surface. A plane superficies is that in which any two points being taken, the straight line between them lies wholly in' that superficies : this indeed is a well known property of a plane ; but as it can easily be deduced from... | |
| George Crabb - Industrial arts - 1823 - 704 pages
...Superficies are either plane, rectilinear, curvilinear, convex, or concave. — A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. — A rectilinear superficies is that which is bounded by right lines. — A curvilinear... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...only length and breadth. 6. The extremities of a superficies are lines. 7. A plane superficies is that in which any two points being taken, the straight line 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... | |
| Nathaniel Bowditch - Nautical astronomy - 1826 - 732 pages
...distance between the two points which limits its length, as A - С III. A PLANE SUPERFICES is that in which any two points being taken, the straight line between them lies wholly in that surface. IV. PARALLEL LINES are such as are in the same plane AB and which extended infinitely do never meet,... | |
| Thomas Curtis - Aeronautics - 1829 - 814 pages
...and the intersections of superficies with one another are also lines. 5. A PLANE SUPERFICIES is that in which any two 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... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...convex. 7. (Eue. i. def. 7.) A. plane surface, or plane, is that, in which any two points whatsoever being taken, the straight line between them lies wholly in that surface. 8. A surface, of which no part is. plane , is said to be curved. 9. If there be two straight lines... | |
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