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Tangent

In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve. More precisely, a straight line is tangent to the curve y = f(x) at a point x = c if the line passes…

History, Tangent line to a plane curve & Overview

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History

EuclidElementsApolloniusArchimedesArchimedean spiral
20 related topics

Tangent line to a plane curve

CirclesParabolasHyperbolasEllipsesCubic function
24 related topics

Overview

GeometryPlane curvePointStraight lineLeibniz
29 related topics

Tangent line to a space curve

MathematicsTangent vectorVectorCurveSurface
10 related topics

Topics to explore

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Overview

History

Tangent line to a plane curve

Tangent line to a space curve

Tangent circles

Tangent plane to a surface

Higher-dimensional manifolds

Advanced semantic analysis

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Map overview Semantic statistics

Tangent

Nodes97
Edges96
Triples52
Avg. degree1.98
Density0.020619
Components1

How this topic connects Entity context

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Tangent

Top relations

related to External links · 9
Tangent → An, EMS Press, Encyclopedia, Eric, Mathematics, MathWorld, Tangent Line, Weisstein, With
related to history · 8
Tangent → Archimedean, Archimedes, BC, Conics, Elements, Euclid, III, In Apollonius
related to Analytical approach · 5
Tangent → And, Geometry, In, René Descartes, The
related to Multiple tangents at a point · 5
Tangent → For, In, Since, The, When
related to Tangent line to a plane curve · 4
Tangent → At, Circles, For, The
related to Tangent line to a space curve · 4
Tangent → Formally, In, More, Rn
related to Tangent plane to a surface · 4
Tangent → It, Mathematically, More, The
related to Tangent circles · 3
Tangent → Cartesian, If, Two
related to Angle between curves · 2
Tangent → More, The
related to Etymology · 2
Tangent → Latin, The

Important terminology Word statistics

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Important terminology

curve point line function given slope two equation lines geometry plane points graph curves displaystyle defined limit surface origin one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Tangentrelated to Analytical approachThe0.60section
Tangentrelated to Analytical approachIn0.60section
Tangentrelated to Analytical approachGeometry0.60section
Tangentrelated to Analytical approachRené Descartes0.60section
Tangentrelated to Analytical approachAnd0.60section
Tangentrelated to Angle between curvesThe0.60section
Tangentrelated to Angle between curvesMore0.60section
Tangentrelated to EquationsWhen0.60section
Tangentrelated to EtymologyThe0.60section
Tangentrelated to EtymologyLatin0.60section
Tangentrelated to External linksEncyclopedia0.60section
Tangentrelated to External linksMathematics0.60section

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    Min side: 3
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