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wikipedia.org
https://en.wikipedia.org/wiki/Cardioid
Cardioid - Wikipedia
In geometry, a cardioid (from Greek καρδιά (kardiá) 'heart') is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius.
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wolfram.com
https://mathworld.wolfram.com/Cardioid.html
Cardioid -- from Wolfram MathWorld
The cardioid has a cusp at the origin. The name cardioid was first used by de Castillon in Philosophical Transactions of the Royal Society in 1741. Its arc length was found by la Hire in 1708. There are exactly three parallel tangents to the cardioid with any given gradient.
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geeksforgeeks.org
https://www.geeksforgeeks.org/maths/cardioid/
Cardioid - GeeksforGeeks
A cardioid is a specific type of mathematical curve that resembles the shape of a heart. It is a plane curve generated by a point on the circumference of a circle that rolls around a fixed circle of equal radius.
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byjus.com
https://byjus.com/maths/cardioid/
Definition of Cardioid - BYJU'S
A cardioid is a shape, defined in two dimensions, that looks like the shape of a heart. The cardioid is formed by following the path of a point on a rolling circle over another fixed circle of the same radius.
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testbook.com
https://testbook.com/maths/cardioid
Cardioid: Definition, Equation, Graphs, Formula & Solved Examples
A cardioid is a plane curve traced by a point of a circle that is rolling on the circumference of another circle of the same radius. A cardioid is also called a Greek heart.
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tutors.com
https://tutors.com/lesson/cardioid-definition-grap…
Cardioid - Definition, Equation, Graph & Examples - Tutors.com
A cardioid (from Greek, "heart-shaped") is a mathematically generated shape resembling a valentine heart or half an apple. Constructing a cardioid on a polar graph is done using equations.
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encyclopediaofmath.org
https://encyclopediaofmath.org/wiki/Cardioid
Cardioid - Encyclopedia of Mathematics
A plane algebraic curve of order four which is described by a point $M$ of a circle of radius $r$ rolling on a circle with the same radius $r$; an epicycloid with modulus $m=1$. The equation of the cardioid in polar coordinates is: $$\rho=2r (1-\cos\phi),$$ In Cartesian coordinates it is: $$ (x^2+y^2+2rx)^2=4r^2 (x^2+y^2).$$
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vedantu.com
https://www.vedantu.com/maths/cardioid
Cardioid: Definition, Equation, Graph, and Real-Life Uses
What Is Cardioid? A cardioid is a heart-shaped curve created by tracing a point on the edge of a circle as that circle rolls around another circle of the same size, without slipping. The name 'cardioid' comes from the Greek word for ‘heart’ because of its distinctive shape.
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merriam-webster.com
https://www.merriam-webster.com/dictionary/cardioi…
CARDIOID Definition & Meaning - Merriam-Webster
The meaning of CARDIOID is a heart-shaped curve that is traced by a point on the circumference of a circle rolling completely around an equal fixed circle and has an equation in one of the forms ρ = a (1 ± cos θ) or ρ = a (1 ± sin θ) in polar coordinates.
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st-andrews.ac.uk
https://mathshistory.st-andrews.ac.uk/Curves/Cardi…
Cardioid - MacTutor History of Mathematics
The cardioid, a name first used by de Castillon in a paper in the Philosophical Transactions of the Royal Societyin 1741, is a curve that is the locus of a point on the circumference of circle rolling round the circumference of a circle of equal radius.