Geodesics on a sphere
A GEODESIC SPHERE MODEL : 7 Steps (with Pictures) - Instructables
On the sphere, these great circles are our "lines" or . geodesics. With that knowledge, have a student point out a line segment on the sphere. Explain that line segments are measure by lengths of string, and have students use string to show the measurement of two congruent line segments and two non congruent line segments below.
[DOC File]MATH 131 Assignment 1 - Computer Science
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A geodesic is a line that gives the shortest path taken by traveling on a particular surface. This is just a straight line when the surface involved is a plane, but these geodesics change for curved surfaces such as the great circles being the shortest path able to be taken on the surface of a sphere.
[DOC File]Non-Euclidean Geometries
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On the sphere, geodesics meet at opposite points, and if they are parallel transports of each other along a common perpendicular, they are not parallel transports of each other along any other geodesic that doesn’t cross the first one in the middle. On the hyperbolic plane, two geodesics that have a common perpendicular diverge, so they ...
[DOC File]Spherical Geometry
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For the geodesic sphere two different lengths are used for the edges. The edges are in a ratio of 1.13 to 1. The 60 edges coming from the original icosahedron edges are “longs.” The 60 edges coming from the new triangles inside the original triangles are “shorts.” Need: 60 longs and 60 shorts.
[DOCX File]portal.ct.gov
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Spherical geometry is the geometry of a sphere. The great circles are intrinsically straight on a sphere in the sense that the shortest distances on a sphere are along arcs of great circle and because great circles have the same symmetries on a sphere as straight lines have on the Euclidean plane.
[DOCX File]Western Illinois University
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Geodesics on a Sphere. 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.
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