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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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Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 384 pages
...; hence, p is not greater than p'. p'. BOOK V. I. LINES AND PLANES. 329. Definitions. 1. A plane is a surface such that a straight line joining any two of its points lies wholly in the surface. A plane, though indefinite in extent, is usually represented by a parallelogram. 2. The foot of a line...
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Elements of Geometry: And the First Principles of Modern Geometry

William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...composed of straight lines lying in diferent directions. 12. A surface is called a plane •when the straight line joining any two of its points lies wholly in the surface. 13. A curved surface is a surface which is neither a plane, nor composed of planes ; as the surface...
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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...ANGLES. DEFINITIONS. 1. A Plane (or Plane Surface), as already defined, is a surface such that the straight line joining any two of its points lies wholly in the surface. Note-—To ascertain whether a given surface is a plane, apply the straight edge nf a ruler to it,...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...PLANES AND SOLID ANGLES. DEFINITIONS. 480. A plane has been defined (11) as a surface in which the straight line joining any two of its points lies wholly in the surface. A plane is indefinite in extent, so that, however far the straight line is produced, all its points...
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...plane containing the figure from one position to another. 16— Geo. 335. A plane has been defined as a surface such that a straight line joining any two of its points will lie wholly in the surface. A plane is considered to be indefinite in extent, so that if any straight...
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Plane Geometry

George D. Pettee - Geometry, Modern - 1896 - 272 pages
...direction; as CD. 12. A Surface has length and breadth, but no thickness. 13. A Plane is such a surface that a straight line joining any two of its points lies wholly in the surface. 14. A Solid has length, breadth, and thickness. 15. A Theorem is a statement of a truth to be proved....
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 pages
...curved lines is called a Mixed Line. Any portion of a line may be called a segment of that line. 14. A surface such that a straight line joining any two of its points lies wholly in the surface is called a Plane Surface, or a Plane. 15. A surface, no part of which is plane, is called a Curved...
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...curved lines is called a Mixed Line. Any portion of a line may be called a segment of that line. 14. A surface such that a straight line joining any two of its points lies wholly in the surface is called a Plane Surface, or a Plane. 15. A surface, no part of which is plane, is called a Curved...
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Elements of Plane Geometry

Alan Sanders - Geometry, Modern - 1901 - 260 pages
...direction at any point. 7. A curved line changes its direction at every point 8. A plane surface is a surface, such that a straight line joining any two of its points will lie wholly in the surface. 9. Any combination of points, lines, surfaces, or solids, is a geometrical...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 392 pages
...direction at any point. 7. A curved line changes its direction at every point. 8. A plane surface is a surface, such that a straight line joining any two of its points will lie wholly in the surface. 9. Any combination of points, lines, surfaces, or solids, is a geometrical...
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