 | Euclid - 1822 - 222 pages
...and are points. DEF. 7. BI The learned Robert Simson gives a different definition of a plane surface. A plane superficies is that in which any two points...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 Euclid's definition... | |
 | George Crabb - Industrial arts - 1823 - 704 pages
...is called the area. Superficies are either plane, rectilinear, curvilinear, convex, or concave. โ A plane superficies is that in which any two points...line between them lies wholly in that superficies. โ A rectilinear superficies is that which is bounded by right lines. โ A curvilinear superficies... | |
 | Peter Nicholson - Mathematics - 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...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,... | |
 | 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... | |
 | Thomas Curtis - Aeronautics - 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...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,... | |
 | 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 lines to one another,which meet together,... | |
 | 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 - Euclid's Elements - 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...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 Euclid's definition... | |
 | 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 - 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...line between them lies wholly in that superficies. 6. A plane rectilinial angle is the inclination of two straight lines to one another, which meet together... | |
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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. 
