Notable plane curves.

Entity["PlaneCurve",name] or

represents an entity of type "PlaneCurve".

[prop]

gives the value of a specified property.

[{propi,}]

gives the value of a list of properties.

EntityClass["PlaneCurve",{propispeci,}]

represents a class of entities with values of propi defined by speci.

Sample Entities

Sample Entity Classes

Properties

  • Acnodesacnodes
    AlgebraicDegreealgebraic degree
    AlgebraicEquationalgebraic equation
    AlternateNamesalternate names
    ArcLengtharc length
    ArcLengthFunctionarc length function
    Areaarea enclosed
    AreaImagearea enclosed plot
    AreaMomentOfInertiaTensorarea moment of inertia tensor of enclosed lamina
    AssociatedEntitiesassociated entities
    AssociatedPeopleassociated people
    Asymptotesasymptotes
    CartesianEquationCartesian equation
    Centroidcentroid of enclosed lamina
    CesaroEquationCesàro equation
    ChordLengthchord length
    Circumferencecircumference
    Classesclasses
    Crunodescrunodes
    Curvatureparametric curvature
    Cuspscusps
    Diameterdiameter
    DifferentialEquationdifferential equation
    Directrixdirectrix
    Eccentricityeccentricity
    EntityClassesentity classes
    Evoluteevolute
    FilledRegionfilled region
    FocalParameterfocal parameter
    Focifoci
    Graphicsgraphic
    Imageimage
    ImplicitCurvatureimplicit curvature
    ImplicitSlopeimplicit slope
    ImplicitVectorLengthimplicit vector length
    InfinitePointsinfinite points
    InflectionPointsinflection points
    Involuteinvolute
    LatusRectumlatus rectum
    LineSegmentLengthCDFCDF of lengths
    LineSegmentLengthMeanmean line segment length
    LineSegmentLengthPDFPDF of lengths
    MajorAxismajor axis
    MinorAxisminor axis
    Namename
    NaturalParametricEquationsnatural parametric equations
    NodeCountnode count
    NormalVectornormal vector
    NotationTablenotation table
    ParallelCurveparallel curves
    Parametersparameters
    ParametricEquationsparametric equations
    PedalCurvepedal curve
    Periodperiod
    PolarCurvaturepolar curvature
    PolarEquationpolar equation
    PolarSlopepolar slope
    QuadruplePointsquadruple points
    Radiusradius
    RamphoidCuspsramphoid cusps
    RelatedWolframLanguageSymbolsrelated Wolfram Language symbols
    SalientPointssalient points
    SemialgebraicDescriptionsemialgebraic description
    SemilatusRectumsemilatus rectum
    SemimajorAxissemimajor axis
    SemiminorAxissemiminor axis
    SignedAreasigned area enclosed
    SingularPointssingular points
    Slopeparametric slope
    SpecialAffineCurvaturespecial affine curvature
    SpecialCasesspecial cases
    Tacnodestacnodes
    TangentialAngletangential angle
    TangentVectortangent vector
    TriplePointstriple points
    VariableConstraintsvariable constraints
    VariableDescriptionsvariable descriptions
    Variablesvariables
    VectorLengthvector length
    WhewellEquationWhewell equation

Details

  • "PlaneCurve" entities include notable mathematical curves embedded in the Euclidean plane.
  • "PlaneCurve" entity classes include mathematical classifications, such as "Parametric" and "Spiral".
  • Some properties are available for the "PlaneCurve" entity type as a whole and can be given using the form EntityValue["PlaneCurve",property]. Such properties include:
  • "Properties"the list of available properties
    "PropertyCanonicalNames"the standard names of available properties
    "SampleEntities"a sample list of available entities (typically of length 10)
    "SampleEntityClasses"a sample list of available entity classes (typically of length 10)
    "EntityCount"number of entities available
    "Entities"the list of available entities
    "EntityCanonicalNames"the standard names of available entities
    "EntityClasses"the list of available entity classes
    "EntityClassCanonicalNames"the standard names of available entity classes
    "PropertyClasses"the list of available property classes
    "PropertyClassCanonicalNames"the standard names of available property classes
    "PropertyCount"number of properties available
  • The following annotations can be used in the third argument of EntityValue["PlaneCurve",property,annotation]:
  • "Source"source information for the property
    "Date"the date associated with the entity-property value (if any)
    "EntityAssociation"an association of entities and entity-property values
    "PropertyAssociation"an association of properties and entity-property values
    "EntityPropertyAssociation"an association in which the specified entities are keys, and values are a nested association of properties and entity-property values
    "PropertyEntityAssociation"an association in which the specified properties are keys, and values are a nested association of entities and entity-property values
    "Dataset"a dataset in which the specified entities are keys, and values are an association of property names and entity-property values
  • The following annotations can be used in the second argument of EntityValue[property,annotation]:
  • "Qualifiers"the list of possible qualifiers for the property
    "QualifierValues"the list of possible values that can be given to each qualifier
    "DefaultQualifierValues"the list of default values for the property's qualifiers
    "Description"a brief textual description of the property
    "Definition"a detailed textual definition of the property
    "PhysicalQuantity"the physical quantity associated with the entity-property value
    "Unit"the unit associated with the entity-property value
  • A qualifier value of Automatic indicates that an applicable format of values can be used; e.g. for the "Date" qualifier, this includes a proper date or date span.

Examples

Basic Examples  (4)

Use for entity discovery:

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Find a property value for an entity:

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Retrieve a dataset of all available properties for an entity:

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Retrieve tabulated plane curves associated with Isaac Newton:

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