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The procedure for constructing a circle by three points in 3D
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Joined: 15/07/2010(UTC) Posts: 437 Location: Beer-Sheva Was thanked: 520 time(s) in 288 post(s)
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The procedure for constructing a circle by three points in 3DIdea of the algorithm taken from the publication of Alexey Ivanov http://www.mapleprimes.c...sts/207697-Circle-In-3d-The calculation algorithm 1. The three points are vertices of the triangle. Write three linear equations: two equations of planes passing through the midpoints of the two sides of the triangle perpendicular to these sides: f1 = 0, f3 = 0 and the equation of the plane which contains the triangle: f2 = 0. 2. Solve the system of equations and find the center of a circle with coordinates Cen xCen, ... zCen. 3. Find the circle radius R of the equation of a sphere with radius R and center at Cen 4. Construct a circle as the line of intersection of the sphere with the plane of the triangle (Draghilev method) Okruzhnost'3.sm (56kb) downloaded 77 time(s).Edited by user 21 October 2018 20:18:14(UTC)
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2 users thanked Ber7 for this useful post.
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on 02/01/2017(UTC), on 25/11/2017(UTC)
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Rank: Advanced Member Groups: Registered
Joined: 15/07/2010(UTC) Posts: 437 Location: Beer-Sheva Was thanked: 520 time(s) in 288 post(s)
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3 users thanked Ber7 for this useful post.
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on 25/01/2017(UTC), on 25/01/2017(UTC), on 25/11/2017(UTC)
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Rank: Advanced Member Groups: Registered
Joined: 15/07/2010(UTC) Posts: 437 Location: Beer-Sheva Was thanked: 520 time(s) in 288 post(s)
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Changes: 1. Circle is constructed by matrix transformation, and not Draghilev Method 2. The normal to the surface passing through the given points is shown. OkruzhnostMod3.sm (55kb) downloaded 53 time(s).Edited by user 21 October 2018 20:18:49(UTC)
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3 users thanked Ber7 for this useful post.
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on 24/11/2017(UTC), on 24/11/2017(UTC), on 25/11/2017(UTC)
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Rank: Advanced Member Groups: Registered
Joined: 15/07/2010(UTC) Posts: 437 Location: Beer-Sheva Was thanked: 520 time(s) in 288 post(s)
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Hi, Jean, thanks for the support.
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The procedure for constructing a circle by three points in 3D
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