| Adrien Marie Legendre - Geometry - 1819 - 208 pages
....'11.1! is. a curved line. 5. A surface is that which has length and breadth, without thickness. 6. **A plane is a surface, in which any two points being...straight line joining those points lies wholly in that** surface. 7. Every surface, which is neither a plane nor composed of planes, is a curved surface. 8.... | |
| Adrien Marie Legendre - Geometry - 1825 - 224 pages
...and AEB is a curved line. 5. A surface is that which has length and breadth, without thickness. 6. **A plane is a surface, in which any two points being...straight line joining those points lies wholly in that** surface. 7. Every surface, which is neither a plane nor composed of planes, is a curved surface. 8.... | |
| Adrien Marie Legendre - Geometry - 1825 - 280 pages
...and AEB is a curved line. 5. A surface is that which has length and breadth, without thickness. 6. **A plane is a surface, in which any two points being...straight line joining those points lies wholly in that** surface. 7. Every surface, which is neither a plane nor composed of planes, is a curved surface. 8.... | |
| Timothy Walker - Geometry - 1829 - 129 pages
...position. We must here remark that the surface of the paper represents a plane which is defined to be — o **surface in which any two points being taken, the straight line joining** these points, lies wholly in that surface — . Now in the above construction the describing line AB... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...reasoning, the like may be done by bringing into contact any other two equal spheres. NOMENCLATURE. — **A surface in which any two points being taken, the straight line** between them lies wholly in that surface, is called a plane surface. The same when no particular boundaries... | |
| Euclides - 1840
...breadth, without thickness. COR. — The extremities of a surface are lines. 5. A PLANE, or plane surface, **is a surface in which any two points being taken, the straight line joining** them, lies wholly in that surface. 6. A plane rectilinear ANGLE is the inclination of two straight... | |
| Adrien Marie Legendre - Geometry - 1841 - 235 pages
...AEB is a curved line. 5. A surface is that which has length and breadth, without • thickness. 6. **A plane is a surface in which, any two points being...straight line joining those points lies wholly in that** surface. 7. Every surface which is neither a plane, nor composed of planes, is a curved surface. 8.... | |
| Charles Waterhouse - Arithmetic - 1842 - 166 pages
...angle greater than a right angle, is an obtuse angle. An oblique angle is either obtuse or acute. 14. **A. plane is a surface, in which any two points being...the straight line joining those points lies wholly** within that surface. NOTE. — Plane figures, that are bounded by right lines, have names according... | |
| Charles Waterhouse - Arithmetic - 1844 - 216 pages
...point directed outward. 12. A plane or surface has two dimensions, length and breadth, in which, if **any two points being taken, the straight line joining those points lies wholly** within that surface, as the preceding figure called a parallelogram. Figure* that are bounded by right... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...AEB is a curved line. E D 5. A surface is that which has length and breadth, without thickness. 6. **A plane is a surface in which any two points being taken, the straight line** which joins them lies wholly in that surface. 7. Every surface which is neither a plane, nor composed... | |
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