 | Nathaniel Bowditch - Nautical astronomy - 1826 - 732 pages
...shortest distance between the two points which limits its length, as A - ะก 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
...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 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... | |
 | Augustus De Morgan - 1831 - 108 pages
...it may be 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 - Euclid's Elements - 1833 - 216 pages
...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 as it can easily be deduced from... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...straight line, on the whole being turned about the two centres of the spheres,will describe a surf ace in which any two points being taken, the straight line between them, with its jirolongation either way, may be proved to lie tvholly in that surface. A surface of this... | |
 | Mathematics - 1835 - 684 pages
...convex. 7. (Eue. i. def. 7.) Aplatie 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 in... | |
 | George Darley - Euclid's Elements - 1836 - 172 pages
...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, this is not a definition, but... | |
 | Mathematics - 1836 - 488 pages
...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 straight lines to one another,... | |
 | Mathematics - 1836 - 530 pages
...it may be 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... | |
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A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line. 
