Such a surface, surface connection between any two points fall on the surface of the whole; a two-dimensional zero curvature of the extension; such a surface, it is similar to the surface with any AC line is a straight line
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No. 2
The absence of high and low winding surface. Simple mathematics that the surface, that is the intersection of two straight line depicting a fixed point, and connected with straight lines, all of these lines form a plane. Are fairly frequently used metaphor. Mao Zedong, "some of the historical experience of our party": "Many of our comrades from the plane to see the countryside, not the three-dimensional look at the countryside, that is, know how to use point of view of the rural class. Then grasp of Marxism, only with the perspective of the rural class. The original Rural is not flat, but a rich, there are the poor, but also the most poor, there are farm laborers, poor peasants, middle peasants, rich peasants, landlords and divided. "
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No. 3
Comments section break. Ming Wu Cheng-en "first Fujun Epitaph": "where there is contest competition Dou, Jing Xian Gong Planar chemotaxis, also off of Shin to go."
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No. 4
One of the most basic concepts of geometry. Calm waters, smooth mirror image of mathematics and other abstract. It should be understood to be infinitely extended, can also be seen as generated by the linear motion. Plane has the following basic properties (axioms): (1) If a line has two points in a plane, this line all the points in the plane; (2) If two planes have a common point, then they intersect in a straight line through this point; (3) is not a straight line with the three points determine a plane.
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No. 5
2, the representation of the plane The plane is usually drawn as a parallelogram. Due to the unlimited scalability of the plane, parallelogram only a portion of said plane, draw a straight line only draw some to represent a straight line is the same reason. In addition, sometimes needed can also be represented triangles, closed curve graphics plane.
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Plane defined
Unlimited extension of the image plane.
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Plane painting
The plane of the painting: horizontal plane can be drawn as a parallelogram, painted an acute angle 45 °, obtuse painted 135 °, horizontal edge is 2 times the adjacent side. Specific painting according to the problem, it can be easy to do title
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Planar representation
Plane representation: (1) by the Greek letter α, β, γ written on the bottom left of the corner. As the plane α, plane β. (2) with four diagonal vertices letter or letters. As the plane ABCD, plane AC.
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Plane and the line
1, point A in the plane α, denoted by A ∈ α; Point B is not within the plane α, denoted by B <IMG class = editorImg title = "" src = "http://imgsrc.baidu.com/baike/abpic / item/9304c888696e7a82a4c272cd.jpg "> α. 2, the point P on the line l, denoted by P ∈ l; point P on line l, as denoted by P <IMG class = editorImg title = "" src = "http://imgsrc.baidu.com/baike/abpic / item/9304c888696e7a82a4c272cd.jpg "> I. 3, if all the points on the straight line l are in the plane α, in the plane of said line l α, or a straight line passing through the plane α l, denoted l α, otherwise the said outer line l in the plane α, denoted l <IMG class = editorImg title = "" src = "http://imgsrc.baidu.com/baike/abpic/item/9304c888696e7a82a4c272cd.jpg"> α. 4, the plane α, β intersect at straight line l, denoted α ∩ β = l. 5, a straight line in the plane α recorded as a ⊂ α
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On the plane axioms, theorems and inference
If a two axioms of a straight line in a plane, then on this line all points in this plane. If two axioms have a common point of the two planes, and so they have only one common line through this point. After three axioms are not on the same three points in a straight line, and only one plane. Corollary a straight line and through a point outside this line, there is one and only one plane. Corollary two through two intersecting lines, and only one plane. Corollary three through two parallel lines, there is one and only one plane. Determine if two planes intersecting plane have a common point, say the two planes intersect. Determining a straight line parallel to the surface plane and a line in the plane parallel to the straight line parallel to this plane. If the determination of a plane parallel with a plane parallel to the two straight lines intersecting another plane, the two planes are parallel. Determining two vertical planes parallel to the same straight line in two planes parallel. The nature of a line parallel to the surface of a plane parallel with the straight line, the straight line over this intersection line in any plane parallel to the plane. If the nature of a plane parallel to the two parallel planes at the same time compared with a third plane, parallel to the intersection line so that they. If the nature of a plane parallel to the second straight line in a plane, the plane parallel to the plane parallel to the straight line. Determining two lines perpendicular line and eleven intersecting straight lines in a plane perpendicular, and the straight line perpendicular to this plane. Determining if the two lines perpendicular to a plane perpendicular to a straight line, the straight line which is parallel with the straight line perpendicular to the plane. Determining a plane perpendicular to the plane of the vertical plane than the other, the two plane. Nature line perpendicular to the plane perpendicular to the two straight lines parallel to the same plane. Properties of two planes perpendicular to a plane perpendicular to the straight line perpendicular to a plane perpendicular to the other line of intersection with the plane. Graphic Design In design services in graphic design is the basis for all designs, but also the design industry's most extensive range of applications category. Graphic designers are on a two-dimensional plane of the material, the use of the combination and arrangement of the various visual elements to show their design philosophy and image of the way. The general perception is that the graphic designer text, photos or graphics and other visual elements to the appropriate image processing and layout arrangement and performance in newspapers, magazines, books, posters, flyers, and so on print media, which is in the paper Design and layout in art media.
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Encyclopedia
pingmian Flat plane One of the basic elements that make up geometry. After creating the space Cartesian coordinate system □ □ □ □ and established coordinate vectors on it, let n {□, □, □} through sentinel М0 (□ 0, □ 0, □ 0) vertical vector of the plane □ ; point to М0 diameter □ 0; any point within a plane □ М (□, □, □) to the diameter r (Figure 1 plane perpendicular vector), the vector equation of the plane □ n · (□ - □ 0) = 0, into the general equation, as □. Let □, namely the equation of the plane □ □ □ + □ □ + C □ + □ = 0 (□, □, □ failure to 0). This form of the equation, called the plane equation of the general formula. If М □ (□ □, □ □, □ □), М □ (□ □, □ □, □ □), М □ (□ □, □ □, □ □) are not colinear, to their diameter respectively □ 1, □ 2, □ 3 _set_ М (□, □, □) by М1, М2, at any point within the plane □ М3 three of the diameter r. Then the vector equation of the plane □ □. Its general equation □ or □, this form of plane equation, called the three-plane equation. If the plane intercept □ □ □, □ □, □ □ axis respectively of □, □, □, then the equation for the plane □ □. This form of plane equation, called the intercept type plane equation. If from the coordinate origin to the plane □ □ distance | □ □ | = □ (Fig. 2 normal plane); by the □ □ unit perpendicular to the direction vector is n0; М (□, □, □) Yes □ arbitrary point, which the diameter of □, then the vector equation □ □ · □ 0 - □ = 0. Its general equation □ (□, □, □ □ 0 respectively vectors with □ □, □ □, □ □ three-axis angle). This form of plane equation, called the normal type plane equation. At the same Cartesian coordinate system □ □ □ □, the equation of a plane generally formula □ □ + □ □ + □ □ + □ = 0, normal-type equation for □ □, then □ □ □ a plane to a certain point М0 (□ 0, □ 0, □ 0) distance □. If the equation of this plane is □ □ + □ □ + □ □ + □ = 0, then □ (□ symbols and radicals of opposite sign). If the plane □ 1, □ 2 □ equations respectively and □, □ 1, □ 2 cosine of the angle is: □ (symbol _select_ same as described above). Necessary and sufficient conditions □ □ □ □ and parallel to □. When the time □ □, □ 1 □ 2 and do not pay; When □ When, □ 1 and □ 2 coincide. □ 1 □ 2 vertical and the necessary and sufficient condition □ 1 □ 2 + □ 1 □ 2 + □ 1 □ 2 = 0. After the space Cartesian coordinate system in □ □ □ □, □ establish a coordinate vector, over point М0 (□ 0, □ □ 0, □ □ 0) and with a non-zero vector □ n {□, □, □} in the same direction linear vector equation □ = □ 0 + □ n, which is М0 □ 0 to diameter, □ is on the line at any point М (□, □, □) to the diameter, □ is any real number, □ into ordinary equation □ In the space of a Cartesian coordinate system, this form of linear equations, called parametric linear equations. Direction coefficient □, □, □, and had fixed М0 standard formula (□ 0, □ 0, □ 0) linear equation □, this form of linear equations, called linear equations. By two point М1 (□ 1, □ 1, □ 1) and М2 (□ 2, □ 2, □ 2) linear equation □, the linear equation of this form, called two linear equations. Plane through two simultaneous equations of a straight line, as a linear equation of these. Generally, two simultaneous plane equation: □ equations which time a considerable proportion coefficient, is a straight line equation. This form is called a linear equation of the general formula. Two straight lines Necessary and sufficient conditions for coplanar □. If two lines above equation is still the cosine of the angle □, where the symbol is _select_ed according to two different angles. If two lines are still above equation, the necessary and sufficient conditions for the vertical □ □. Parallel to the necessary and sufficient conditions for □. If the straight line equation □, a plane equation for □ □ + □ □ + □ □ + □ = 0, then the sine of the angle between them □. If the equation is still necessary and sufficient conditions above the line and the plane parallel to □ □ + □ □ + □ □ = 0; perpendicular to the necessary and sufficient conditions for □. (Zhongshan Ji)
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English Expression
: y plane xy
n.: bread, face, flat, flatness, level, plane, planum, surface, linearly-polarized wave, any flat or level surface, a plane surface, a flat surface, a plane, or plane surface