Development (differential geometry) (original) (raw)

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dbo:abstract In classical differential geometry, development refers to the simple idea of rolling one smooth surface over another in Euclidean space. For example, the tangent plane to a surface (such as the sphere or the cylinder) at a point can be rolled around the surface to obtain the tangent plane at other points. (en) Dalam geometri diferensial klasik, pengembangan mengacu kepada gagasan sederhana untuk menggulung satu halus di atas ruang Euklides lainnya. Misalnya, ke permukaan (seperti bola atau ) pada sebuah titik dapat digulung di sekitar permukaan untuk mendapatkan bidang singgung pada titik-titik lainnya. (in)
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dbo:wikiPageWikiLink dbr:Curve dbr:Developable_surface dbc:Differential_geometry dbr:Conformal_geometry dbr:Point_(geometry) dbr:Surface_(differential_geometry) dbr:Local_diffeomorphism dbr:Local_property dbr:Affine_connection dbr:Cylinder_(geometry) dbr:Euclidean_space dbr:Parallel_transport dbr:Isometry dbc:Connection_(mathematics) dbr:Bijection dbr:Differential_geometry dbr:Manifold dbr:Sphere dbr:Cartan_connection dbr:Klein_geometry dbr:Stretched_grid_method dbr:Ruled_surface dbr:Universal_cover dbr:Tangent_plane dbr:Conformal_mapping
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dcterms:subject dbc:Differential_geometry dbc:Connection_(mathematics)
rdfs:comment In classical differential geometry, development refers to the simple idea of rolling one smooth surface over another in Euclidean space. For example, the tangent plane to a surface (such as the sphere or the cylinder) at a point can be rolled around the surface to obtain the tangent plane at other points. (en) Dalam geometri diferensial klasik, pengembangan mengacu kepada gagasan sederhana untuk menggulung satu halus di atas ruang Euklides lainnya. Misalnya, ke permukaan (seperti bola atau ) pada sebuah titik dapat digulung di sekitar permukaan untuk mendapatkan bidang singgung pada titik-titik lainnya. (in)
rdfs:label Desenvolupament (geometria diferencial) (ca) Development (differential geometry) (en) Pengembangan (geometri diferensial) (in)
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