epicycloid Synonyms
No Synonyms and anytonyms found
epicycloid Meaning
epicycloid (n)
a line generated by a point on a circle rolling around another circle
epicycloid (n.)
A curve traced by a point in the circumference of a circle which rolls on the convex side of a fixed circle.
epicycloid Sentence Examples
- The path traced by a point on a circle rolling without slipping around a larger circle is known as an epicycloid.
- The shape of an epicycloid can be varied by altering the size of the smaller circle relative to the larger circle.
- Epicycloids have been studied for centuries and have been used in a variety of applications, including gears and cams.
- The shape of an epicycloid is determined by the ratio of the radii of the two circles involved.
- Epicycloids are a type of roulette curve, which is a curve generated by a point moving along a fixed curve while rolling without slipping on a second fixed curve.
- The epicycloid is a transcendental curve, meaning that it cannot be expressed as a polynomial equation in finite terms.
- Epicycloids have a number of interesting mathematical properties, including the fact that they are closed curves and that their curvature varies continuously throughout the curve.
- Epicycloids are often used in mathematics and engineering to model a variety of physical phenomena, such as the motion of a planet around the sun or the precession of a gyroscope.
- Epicycloids can be generated using a variety of methods, including mechanical linkages, computer simulations, and mathematical equations.
- Epicycloids are a beautiful and fascinating mathematical object that has been the subject of much study and research over the years.
FAQs About the word epicycloid
a line generated by a point on a circle rolling around another circleA curve traced by a point in the circumference of a circle which rolls on the convex side o
No synonyms found.
No antonyms found.
The path traced by a point on a circle rolling without slipping around a larger circle is known as an epicycloid.
The shape of an epicycloid can be varied by altering the size of the smaller circle relative to the larger circle.
Epicycloids have been studied for centuries and have been used in a variety of applications, including gears and cams.
The shape of an epicycloid is determined by the ratio of the radii of the two circles involved.
