 | John Playfair - Mathematics - 1806 - 320 pages
...cannot coincide in part, without coinciding " altogether." * IV. 2 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 Mason Good - 1813 - 714 pages
...hath only length and breadth. 6. The extremitin of a superficies are lines. 7. A plane superficies is that in which any two points being taken, the straight line between theta lies wholly in that superficies. 8. " A plane angle is the inclination of two lines te 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 Gummere - Surveying - 1817 - 384 pages
...points. 4. A superficies or surface has length and breadth, but not thickness. 6. A plane superficies is that in which any two points being taken, the straight line which joins them lies wholly in that superficies. 7. A plane rectilineal angle is the inclination of... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...lines ; and 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, Robert Simson - Geometry - 1821 - 514 pages
...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... | |
 | Euclid - 1822 - 222 pages
...Robert Simson gives a different definition of a plane surface. A plane superficies is that in ivhicJi 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
...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 one another in a plane, which meet... | |
 | Nathaniel Bowditch - Nautical astronomy - 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 which extended infinitely do never meet,... | |
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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. 
