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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
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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....
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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....
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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....
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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...
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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...
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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...
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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....
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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...
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Elementary and Practical Arithmetic: On the Inductive System, by Analysis ...

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...
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Elements of Geometry and Conic Sections

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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