NEPHROID Meaning and
Definition
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A nephroid is a geometric shape which can be described as a curve that is generated by a point on a circle, as it rolls along the interior or exterior of another fixed circle of equal size. The resulting curve traced by this point is known as a nephroid. The term "nephroid" derives from the Greek words "nephros" which means "kidney", and "eidos" which means "shape" or "form". This is due to the nephroid's resemblance to a cross-section of a kidney.
Mathematically, a nephroid can be defined as a special type of hypocycloid, which is a curve formed by the rolling of a smaller circle inside a larger one. The nephroid is a particular case where the center of the smaller circle is situated on the circumference of the larger one. It is characterized by its symmetrical and continuous shape, with a distinct central cusp or loop.
Nephroids possess several interesting properties and curves based on them can be found in various applications, such as roulette curves and mechanisms in engineering. They are also studied in mathematics for their specific geometric properties and their relevance in kinematics and curves of constant width. The nephroid has been an object of interest since antiquity and continues to be an intriguing shape in geometry today.
Common Misspellings for NEPHROID
- nephriida
- bephroid
- mephroid
- jephroid
- hephroid
- nwphroid
- nsphroid
- ndphroid
- nrphroid
- n4phroid
- n3phroid
- neohroid
- nelhroid
- ne-hroid
- ne0hroid
- nepgroid
- nepbroid
- nepnroid
- nepjroid
- nepuroid
Etymology of NEPHROID
The word "nephroid" is derived from the Greek words "nephros", meaning kidney, and "eidos", meaning shape or form. In mathematics, a nephroid refers to a curve that resembles the shape of a kidney, hence the name derived from the Greek term.
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