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Cycloid

In geometry, a cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve.

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Overview

History

Equations

Involute

Cycloidal pendulum

Related curves

Other uses

Advanced semantic analysis

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Map overview Semantic statistics

Cycloid

Nodes81
Edges80
Triples127
Avg. degree1.98
Density0.024691
Components1

How this topic connects Entity context

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Cycloid

Top relations

related to External links · 28
Cycloid → CALCULUS, Cornell University Library, Cycloid Curves, Cycloidal Curves, Cycloids, David, Edmund, Eric, John, MacTutor History, Mathcad, Mathematics Archive, MathWorld, O'Connor, PlanetPTC, Proctor, Retrieved April, Richard, Robertson, Sean Madsen
related to history · 27
Cycloid → Antioch, Beginning, Bovelles, Carpus, Charles, Cusa, English, French, Galileo Galilei's, Geometers, Helen, Historians, Iamblichus, In, Introductio, John Wallis, Marin Mersenne, Mathematical, Moritz Cantor, Nicholas
related to Further reading · 18
Cycloid → An, Crack, Curious, Ghatak, Imagination, Interesting Geometry, ISBN, James Newman, Kasner, Mahadevan, Mathematics, New York, Penguin Books, Physical Review Letters, Schuster, Simon, The Penguin Dictionary, Wells
related to Demonstration · 16
Cycloid → Analogously, Because, Considering, Drawing, For, From, If, In, Initially, It, Let, The, Then, This, Thus, When
related to Other uses · 14
Cycloid → Dartmouth College, Early, Fort Worth, Hanover, Harrison, Hopkins Center, It, Kimbell Art Museum, Later, Louis Kahn, New Hampshire, Texas, The, Wallace
related to Cycloidal pendulum · 6
Cycloid → Christiaan Huygens, Dutch, If, Introducing, Such, The
related to Related curves · 6
Cycloid → Epicycloid, Epitrochoid, Hypocycloid, Hypotrochoid, Several, Trochoid
related to Arc length · 3
Cycloid → Another, The, This
related to Equations · 3
Cycloid → For, The, The Cartesian
is a · 2
Cycloid → curve traced by a point on a circle as it rolls along a straight line without slipping, specific form of trochoid and is an example of a roulette

Important terminology Word statistics

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Important terminology

displaystyle circle tangent point curve rolling arch cos one length curves also pendulum given along arc line another cycloidal two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cycloidis acurve traced by a point on a circle as it rolls along a straight line without slipping0.90text
Cycloidis aspecific form of trochoid and is an example of a roulette0.90text
Cycloidrelated to Arc lengthThe0.60section
Cycloidrelated to Arc lengthAnother0.60section
Cycloidrelated to Arc lengthThis0.60section
Cycloidrelated to Cycloidal pendulumIf0.60section
Cycloidrelated to Cycloidal pendulumSuch0.60section
Cycloidrelated to Cycloidal pendulumIntroducing0.60section
Cycloidrelated to Cycloidal pendulumThe0.60section
Cycloidrelated to Cycloidal pendulumDutch0.60section
Cycloidrelated to Cycloidal pendulumChristiaan Huygens0.60section
Cycloidrelated to DemonstrationThis0.60section

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