Descriptions and Examples for the POV-Ray Raytracer by Friedrich A. Lohmueller
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Home
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- POV-Ray Tutorials

  - Analytical Geometry
    with POV-Ray
    - Index -
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  - Basics
    Possibilities and Needs

    Points & Lines
    - Points in 3D
    - Line Sections, Straight,
      Vectors, Distance Markers
    - Surfaces & Planes
    - Output of Results,
      Captions
    - Points of Intersection
   > Circles
    Solids
    - Tetrahedron
    - Parallelepiped
    - Round Solids
    -
  - Overview by Table
      on "analytical_g.inc"
  - Vector Analysis
      with POV-Ray
  - Righthanded & Lefthanded
    Systems of Coordinates
    and the Cross Product

  - Samples from
    Analytical Geometry
    - Parallelogram of the
        Middles of the Edges
    - Trace Points of a Straight Line
    - Calculations about a Triangle
    - Area of a Parallelogram
        and Cross Product
    - Shadow of a Pyramid
    - Hit a plane || yz-plane
    - Angle of triangle & yz-plane
                                       

Analytical Geometry with POV-Ray

 
Circles,
Circle inside a Triangle,
Circumcircle of a Triangle 


Circle (M,r) around the axis:

A circle with the center M with the radius R perpendicular to the axis N we get with a macro from "analytical_g.inc" :

Circle line:

object{ Circle_Line ( M, R, Rl, N)
        pigment{ color Yellow }}

Circle area:

object{ Circle_Disc ( M, R, N)
        pigment{ color rgb<1,1,0,0.5>}}
Representation of a circle in 3d
Circle around M with radius r and axis N
Click here for a complete description
of this scene for POV-Ray:
".txt" file or ".pov" file

Circumcircle - a circle around a triangle

A Circle around a triangle P1P2P3 we can get by a macro from quot;analytical_g.inc" :

circle line:

object{ Circle_Line_out( P1, P2, P3, Rl)
        pigment{ color Yellow }}

circle area:

object{ Circle_Disc_out( P1, P2, P3 )
        pigment{ color rgb<1,1,0,0.5>}}

circumcircle center:

object{ Triangle_M_out( P1, P2, P3 )
        pigment{ color rgb<0,1,0,0.5> }}

circumcircle radius:

Triangle_R_out(  P1, P2, P3 ) 
Circumcircle of a triangle
Click here for a complete description
of this scene for POV-Ray:
".txt" file or ".pov" file

Incircle - a circle inside of a triangle

A circle inside of a triangle P1P2P3 with a macro from "analytical_g.inc" :

circle linie:

object{ Circle_Line_in ( P1, P2, P3, Rl)
        pigment{ color Yellow }}

circle area:

object{ Circle_Disc_in ( P1, P2, P3 )
        pigment{ color Green transmit 0.5}}

Incircle center:

object{ Triangle_M_in ( P1, P2, P3 )
        pigment{ color Yellow transmit 0.5}}

Incircle radius:

Triangle_R_in (  P1, P2, P3 ) 
A circle inside of a triangle
Click here for a complete description
of this scene for POV-Ray:
".txt" file or ".pov" file
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© Friedrich A. Lohmüller, 2007
email email: Friedrich.Lohmueller_at_t-online.de
homepage:http://www.f-lohmueller.de