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" A plane surface, or a plane, is a surface in which, if any two points are taken, the straight line joining these points lies wholly in the surface. "
The New American Arithmetic - Page 107
by Samuel Mecutchen, George Mornton Sayre - 1877
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Annual Report of the Board of Education Together with the ..., Volume 72

Massachusetts. Board of Education - Education - 1909 - 540 pages
...plane surface is such a surface that if any two points in it be connected by a straight line, that line will lie wholly in the surface. A curved surface is a surface no part of which is plane. POSITIONS OF A SURFACE. A surface is vertical when it has the direction of a plumb line. A surface...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...point moves along a line, it is said to describe the line. 6. Definitions. A plane surface, or simply a plane, is a surface in which, if any two points are taken, the straight line joining these points lies wholly in the surface. A curved surface is a surface no portion of which...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...point moves along a line, it is said to describe the line. 6. Definitions. A plane surface, or simply a plane, is a surface in which, if any two points are taken, the straight line joining these points lies wholly in the surface. A curved surface is a surface no portion of which...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...brevity, the word line is often used to denote a straight line. - ' 11. Aplane surface, or simply aplane, is a surface in which, if any two points are taken, the straight line which joins them lies wholly in that surface.f 12. A curved surface is a surface no portion of which is plane....
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 426 pages
...used a straight line is meant ; and when the word curve is used a curved line is meant. 4 11. DEF. A Plane Surface, or a Plane, is a surface in which, if any two points be taken, the straight line joining these points will lie wholly in the surface. 12. DEF. A Сurved...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 436 pages
...two points be taken, the straight line joining these points will lie wholly in the surface. 12. DBF. A Curved Surface is a surface no part of which is plane. 13. Figure or form depends upon the relative position of points. Thus, the figure or form of a line...
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Elements of Geometry

George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...used a straight line is meant; and •when the word curve is used a curved line is meant. 11. DEF. A Plane Surface, or a Plane, is a surface in which, if any two points be taken, the straight line joining these points will lie wholly in the surface. 12. DEP. A Curved...
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...Sympolar solid. vertices. BOOK X. OF CURVED SURFACES. CHAPTER I. THE SPHERE. Definitions. 719. Def. A curved surface is a surface no part of which is plane 7 2O. Def. A spherical surface is a surface which is everywhere equally distant from a point within...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volume 4

Moffatt and Paige - 1883 - 602 pages
...magnitudes, distances, motions, and the laws by which they are governed. A Plane, or Plane Superficies, is a surface in which, if any two points are taken, the straight line joining them lies entirely in that surface. A Circle is a plane figure contained by one line, which...
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A Grammar Shcool Arithmetic

George Albert Wentworth - Arithmetic - 1886 - 392 pages
...line, as EF. 319. A line composed of straight and curved lines is called a mixed line, as OH. 320. A plane surface or a plane is a surface in which, if any two points be taken, the straight line joining these two points will lie wholly within the surface. 321. A curved...
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