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Nettet30. jul. 2012 · Find the circle around this triangle. Let C denote the center of this circle. Find the line perpendicular to P and crossing it at C. On this line, find those 2 points with the desired distance from the circle. I have ignored degenerate cases. Share Improve this answer Follow answered Jul 30, 2012 at 10:16 Ali 55.9k 29 167 265 Add a comment 2 Nettet23. jun. 2024 · 1 How do I calculate the reflection of a line on a sphere in 3D? I.e. given the situation shown below, how do I calculate the vector w? Where C is the center of … hamilton beach soap dispenser
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NettetOn a sphere, two lines can be parallel and still intersect each other not once but twice, the sum of the angles of a triangle is greater than 180°, and the shortest distance between two points on a sphere is along the perimeter of a great circle, which is not necessarily a straight line on a flattened map. Nettet29. nov. 2015 · Points on the surface of a sphere can be expressed using two spherical coordinates, theta and phi, with 0 < theta < 2pi and 0 < phi < pi. Conversion formula into cartesian x, y, z coordinates: x = r * cos (theta) * sin (phi) y = r * sin (theta) * sin (phi) z = r * cos (phi) where r is the radius of the sphere. Nettet2. feb. 2015 · To draw the rest of the sphere, I observed and recorded patterns of rotated spheres in the program I wrote. Lines for XY, YZ and XZ planes become ellipses on a sphere after a rotation. hamilton beach sound shield 950