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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 joining those points lies wholly in that surface.
An Elementary Treatise on Plane and Solid Geometry - Page 5
by Benjamin Peirce - 1837 - 159 pages

## Elements of Geometry

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....

## Elements of Geometry

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....

## Elements of Geometry

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....

## Elements of Geometry: With Practical Applications, for the Use of Schools

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...

## Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

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...

## Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

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...

## Elements of Geometry

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....

## Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ...

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...