| John Playfair - Mathematics - 1806 - 320 pages
...lines ; and the " intersections of one superficies with another are also lines." Book IV v-*~»"WA **plane superficies is that in which any two points...line between them lies wholly in that superficies.** VI. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,... | |
| John Mason Good - 1813 - 714 pages
...its extreme points. 5. A superficies is that which hath only length and breadth. 6. The extremitin **of a superficies are lines. 7. A plane superficies...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... | |
| John Gummere - Surveying - 1814 - 398 pages
...drawn between any two points. 5. A superficies or surface has length and breadth, but thickness. 6. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** -- , t 7- A plane rectilineal angle is the inclination of two straight lines to one another, which... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...superficies, as the spherical, cylindrical, conical, and many others. According to this definition, **a plane superficies "is that in which any two points...line between them lies wholly in that superficies;"** the term " plane," in popular language, means that which is perfectly fiat, or level) now if two points... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...superficies are lines ; and the intersec" tions of one superficies with another are also lines." V. **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** VI. A plane rectilineal angle is the inclination of two straight lines to one another, which meet together,... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...superficies is that which hath only length and breadth. VI. The extremities of a superficies are lines/ VII. **A plane superficies is that in which any two points...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 meet together,... | |
| 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. — **A plane superficies is that in which any two points...line between them lies wholly in that superficies.** — A rectilinear superficies is that which is bounded by right lines. — A curvilinear superficies... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...straight line is that which lies evenly between its extreme points. 5. A superficies is that which hath **only length and breadth. 6. The extremities of a superficies...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... | |
| 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... | |
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