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" A plane surface or a plane is a surface such that a straight line joining any two of its points lies entirely in the surface. "
Triangulation Applied to Sheet Metal Pattern Cutting: A Comprehensive ... - Page 259
by Fred Smith Kidder - 1917 - 268 pages
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The American Amateur Photographer, Volume 17

Photography - 1904 - 622 pages
...wherever I can find them, and condemn where I cannot. The word plane — defined in the dictionary as "a surface such that a straight line joining any two of its points lies wholly in the surface" — is used by artists in two distinct senses. When a sculptor or portrait painter speaks of a plane...
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School Arithmetic for Grammar Grades

Samuel Hamilton - Arithmetic - 1907 - 422 pages
...solids, and the cylinder have been treated under Practical Measurements. REGULAR POLYGONS A plane is a surface such that a straight line joining any two of its points lies wholly in the surface. A polygon is a plane figure bounded by straight lines. A regular polygon is a plane figure having equal...
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Complete Arithmetic

Samuel Hamilton - Arithmetic - 1908 - 512 pages
...solids, and the cylinder have been treated under Practical Measurements. REGULAR POLYGONS A plane is a surface such that a straight line joining any two of its points lies wholly in the surface. A polygon is a plane figure bounded by straight lines. A regular polygon is a plane figure having equal...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...distinguished from physical bodies. 481. A plane has been defined as a surface of unlimited extent such that a straight line joining any two of its points lies wholly in the surface. 482. It is assumed (§ 66, 6) that but one plane can be made to pass through three points not in the...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...succession of straight lines. EF is a broken line. SURFACES. 16. A plane is a surface such that the straight line, joining any two of its points, lies wholly in the surface. 17. A curved surface is a surface, no portion of which, however small, is a plane. 19. A rectilinear...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 360 pages
...it, the line coincides with it at every spot, all ways." In modern form this appears as follows : " A surface such that a straight line joining any two of its points lies wholly in the surface is called a plane," and for teaching purposes we have no better definition. It is often known as Simson's...
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Elements of Solid Geometry

William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...figures whose elements are not all in the same plane. (§ 35.) 522. A plane is a surface such that the straight line joining any two of its points, lies wholly in the surface. (§16.) While regarded as indefinite in extent, it is usually represented in diagrams, by parallelograms...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...but of three dimensions, also studying their properties and relations and measuring the figures. 422. Plane. A surface such that a straight line joining any two of its points lies wholly in the surface is called a plane. A plane is understood to be indefinite in extent, but it is conveniently represented...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...but of three dimensions, also studying their properties and relations and measuring the figures. 422. Plane. A surface such that a straight line joining any two of its points lies wholly in the surface is called a plane. A plane is understood to be indefinite in extent, but it is conveniently represented...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...of three dimensions, also studying their properties and relations £nd measuring the figures. 422. Plane. A surface such that a straight line joining any two of its points lies wholly in the surface is called a plane. A plane is understood to be indefinite in extent, but it is conveniently represented...
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