Geometry Pdf 168201 | Sphericalgeometry

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File: Geometry Pdf 168201 | Sphericalgeometry

spherical geometry math430 fall 2014 in these notes we summarize some results about the geometry of the sphere that complement should the textbook most notions we had on the plane ...

Filetype PDF | Posted on 25 Jan 2023 | 2 years ago

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...Spherical geometry math fall in these notes we summarize some results about the of sphere that complement should textbook most notions had on plane points lines angles triangles etc make sense but one has to be careful dening them classical theorems from however are no longer true for example sum a triangle is always greater than o also there notion parallelism will prove euler s theorem which says convex polyhedron if you count number its vertices subtract edges and add faces get perhaps surprisingly our proof use main property segments any segment shortest path between b general this how denes every sometimes called geodesic or geodesics here do other way around declare straight great circles i e obtains after cutting with planes passing through origin want geometrically construct two just need cut abo now know what compute distance as it justied length arc ab shown gure above computed by following formula d m aob r where radius already notice something analog computes distances meas...

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Posted on: 25 Jan 2023 | 2 years ago
Tag: download pdf, sphericalgeometry,
Filetype: PDF
File size: 1.20 MB
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