 | George Crabb - 1823 - 704 pages
...is called the area. 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... | |
 | Peter Nicholson - 1825 - 1046 pages
...superficies is that which hath 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... | |
 | Nathaniel Bowditch - 1826 - 732 pages
...shortest 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... | |
 | Thomas Curtis - 1829 - 814 pages
...superficies are therefore lines, 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... | |
 | John Playfair - 1829 - 210 pages
...intersection of one superficies with another is a line. 8. A plane superficies is that in which any two poins being taken, the straight line which joins them lies wholly in that superficies. 9. If two straight lines diverge from the same point, the opening between them is called an angle.... | |
 | Thomas Curtis (of Grove house sch, Islington) - 798 pages
...lines, and the intersection* of superficies with one another are also lines. 5. A PLANE SopERFiriFs 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 twostraight... | |
 | Augustus De Morgan - 1831 - 108 pages
...placed upon that surface, we conclude that the surface is plane. Hence the definition of a plane surface is that in which, any two points being taken, the straight line joining these points lies wholly upon the surface. Two straight lines have a relation to one another... | |
 | Euclid - 1833 - 216 pages
...are points* DEF. 7. B. L The 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... | |
 | 1836 - 488 pages
...a superficies are lines ; and the intersections of one superficies with 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 rectilinial angle is the inclination of two... | |
 | George Darley - 1836 - 172 pages
...which arc not bounded by right lines, as a circle, &c. R. Simson gives another definition, viz. '* A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies." To which it may be objected, that, in the first place,... | |
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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. 8. A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same direction. 
