hypocycloid (Meaning)
hypocycloid (n)
a line generated by a point on a circle that rolls around inside another circle
hypocycloid (n.)
A curve traced by a point in the circumference of a circle which rolls on the concave side in the fixed circle. Cf. Epicycloid, and Trochoid.
Synonyms & Antonyms of hypocycloid
No Synonyms and anytonyms found
hypocycloid Sentence Examples
- The hypocycloid, a fascinating curve, is formed by tracing a point on a smaller circle as it rolls inside a larger one.
- The shape of the hypocycloid is determined by the ratio of the radii of the two circles.
- Hypocycloids exhibit a beautiful symmetry, with the same curve generated by rolling the smaller circle in either direction.
- Certain hypocycloids, known as astroids, are particularly graceful and have been used in art and design.
- Hypocycloids have applications in engineering, particularly in gear design, as they can create curves with smooth transitions.
- The epicycloid, a related curve, is formed by tracing a point on a smaller circle as it rolls outside a larger one.
- Hypocycloids and epicycloids are both examples of trochoids, curves that are generated by rolling one circle on another.
- The mathematics behind hypocycloids is complex, involving geometry and calculus.
- The study of hypocycloids dates back to ancient Greece, with Archimedes having explored their properties.
- Hypocycloids continue to inspire mathematicians and engineers today, with new applications and insights being discovered.
FAQs About the word hypocycloid
a line generated by a point on a circle that rolls around inside another circleA curve traced by a point in the circumference of a circle which rolls on the con
No synonyms found.
No antonyms found.
The hypocycloid, a fascinating curve, is formed by tracing a point on a smaller circle as it rolls inside a larger one.
The shape of the hypocycloid is determined by the ratio of the radii of the two circles.
Hypocycloids exhibit a beautiful symmetry, with the same curve generated by rolling the smaller circle in either direction.
Certain hypocycloids, known as astroids, are particularly graceful and have been used in art and design.
