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[DOC File]Why does the Pythagorean Theorem Fail in Spherical Space
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Explain what a geodesic and antipodal points are. Explain why there are no parallel lines on a sphere. Explain what perpendicular lines do in relation to a sphere. ... Sphere - is a set of points in three-dimensional space equidistant from a point called the center of the sphere.
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[DOC File]Spherical Polygons
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Every point can be considered a pole. Each pole defines a polar, which is the great circle on the sphere lying in the plane perpendicular to the axis of the sphere through that pole. Two non-opposite points have one and only one shortest path between them called a geodesic arc. A geodesic arc is a …
geodesic sphere template

[DOCX File]portal.ct.gov
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students learn that the shortest path between two points lies on a geodesic. On a sphere, the geodesics are great circles. The equator is a great circle as are the circles containing the meridians. Other than the equator, circles with through points with the same latitude are not great circles. Beijing, China, and Denver, Colorado, USA, are two ...
how to make geodesic sphere

[DOC File]UNITEL_14.doc
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On the sphere, a geodesic is a "great circle". The shortest path on the surface between 2 points is a geodesic. The arrows that all point in the same direction on the plane retain a vestige of this property when they are printed onto a geodesic. At each point along the geodesic curve, the angle between the arrow and the line tangent to the ...
sphere made of triangles

[DOCX File]www.bdir.com
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The geodesic dome can eliminate stray electromagnetic waves by grounding the metal structure to the ground. The final geometry created is the sphere - atoms, molecules, earth, sun, stars, moon, etc. All spheres mathematically produce a singularity that produces static at the center of all wave cancellations - the practice of Bindu points in ...
geodesic sphere calculator

[DOCX File]Western Illinois University
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To make a geodesic sphere, start with an icosahedron. An icosahedron is made up of 20 triangles, five triangles meeting at each vertex. Find the midpoint of each edge of the icosahedron. For each triangular face of the icosahedron use the midpoints of the sides and the original three vertices to form four triangles, as shown.
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Geodesic of a sphere