Stereographic Projection

GPTKB entity

Statements (49)
Predicate Object
gptkbp:instanceOf map projection
gptkbp:centeredIn point of tangency
gptkbp:compatibleWith equal-area
equidistant
gptkbp:hasProperty circles map to circles
straight lines map to circles
gptkbp:heldBy conformal
https://www.w3.org/2000/01/rdf-schema#label Stereographic Projection
gptkbp:introduced gptkb:Hipparchus
gptkbp:inverseFormula θ = 2 arctan(r/R), φ = arctan2(y, x)
gptkbp:mathematicalFormula (x, y) = (R * tan(θ/2) * cos(φ), R * tan(θ/2) * sin(φ))
gptkbp:notableProject gptkb:butter
gptkbp:preserves angles
gptkbp:projectsOnto gptkb:aircraft
gptkbp:relatedTo gptkb:Mercator_projection
gptkb:gnomonic_projection
gptkb:orthographic_projection
gptkbp:studiedBy gptkb:Ptolemy
gptkbp:usedFor crystal orientation
mapping hemispheres
celestial sphere mapping
visualizing complex functions
gptkbp:usedIn gptkb:art
gptkb:astronomy
gptkb:geometry
gptkb:mathematics
gptkb:navigation
gptkb:topology
gptkb:Riemann_sphere
gptkb:stereology
gptkb:stereonet
cartography
complex analysis
computer graphics
crystallography
engineering
geology
mineralogy
photography
physics
virtual reality
knot theory
microscopy
conformal mapping
planetarium projection
panoramic imaging
quaternionic analysis
gptkbp:bfsParent gptkb:Conformal_Mapping
gptkbp:bfsLayer 7