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Nephroid information


Nephroid: definition

In geometry, a nephroid (from Ancient Greek ὁ νεφρός (ho nephros) 'kidney-shaped') is a specific plane curve. It is a type of epicycloid in which the smaller circle's radius differs from the larger one by a factor of one-half.

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Nephroid

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In geometry, a nephroid (from Ancient Greek ὁ νεφρός (ho nephros) 'kidney-shaped') is a specific plane curve. It is a type of epicycloid in which the smaller...

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Evolute

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diagrams of the evolutes of the parabola, the ellipse, the cycloid and the nephroid.) For any arc of the evolute that does not include a cusp, the length of...

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Epicycloid

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diameter of small circle . Epicycloid examples k = 1; a cardioid k = 2; a nephroid k = 3; a trefoiloid k = 4; a quatrefoiloid k = 2.1 = 21/10 k = 3.8 = 19/5...

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Gallery of curves

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(2-rose) Spiric sections Squircle Trifolium Curve Astroid Atriphtaloid Nephroid Quadrifolium Epicycloid Epispiral Epitrochoid Hypocycloid Lissajous curve...

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List of curves

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trisectrix Ovals of Cassini Squircle Three-leaved clover Astroid Atriphtaloid Nephroid Quadrifolium Epicycloid Epispiral Epitrochoid Hypocycloid Lissajous curve...

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Astroid

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making it an example of a hedgehog. Cardioid – an epicycloid with one cusp Nephroid – an epicycloid with two cusps Deltoid – a hypocycloid with three cusps...

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Cardioid

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at the bottom of a cylindrical cup is half of a nephroid, which looks quite similar. Limaçon Nephroid Deltoid Wittgenstein's rod Cardioid microphone Lemniscate...

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List of mathematical shapes

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Trifolium curve[citation needed] Quintic of l'Hospital Astroid Atriphtaloid Nephroid Quadrifolium Epicycloid Epispiral Epitrochoid Hypocycloid Lissajous curve...

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Phyllanthus hypospodius

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fruit rather large, short-pedicellate, trigonous-globular ; seeds oblique-nephroid, but also somewhat triangular, smooth, outside whitish and faintly marked...

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List of circle topics

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quadrilateral Roulettes Centered trochoid Epitrochoid Epicycloid Cardioid Nephroid Deferent and epicycle Hypotrochoid Hypocycloid Astroid Deltoid curve Topology...

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Glossary of shapes with metaphorical names

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Category:Curves lists numerous metaphorical names, such as Bean curves, also called Nephroids, from the Greek word for kidney "Bullet Nose". MathWorld. Wolfram. 2013-05-08...

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Atriphtaloid

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Curves", put it well: "The other names such as astroids, scarabeans, nephroids, atriphtaloids probably represent so little to the mind as to be not worth...

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Pedal equation

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r 2 − a 2 ) {\displaystyle p^{2}={\frac {9}{8}}(r^{2}-a^{2})} 2, −2⁄3 Nephroid p 2 = 4 3 ( r 2 − a 2 ) {\displaystyle p^{2}={\frac {4}{3}}(r^{2}-a^{2})}...

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