hypotrochoid (Meaning)
hypotrochoid (n.)
A curve, traced by a point in the radius, or radius produced, of a circle which rolls upon the concave side of a fixed circle. See Hypocycloid, Epicycloid, and Trochoid.
Synonyms & Antonyms of hypotrochoid
No Synonyms and anytonyms found
hypotrochoid Sentence Examples
- The curve generated by a point fixed to a circle rolling on the inside of a larger fixed circle is known as a hypotrochoid.
- Hypotrochoids occur in many natural phenomena, such as the patterns of waves and the shapes of certain microorganisms.
- The shape of a hypotrochoid depends on the ratio of the radii of the rolling and fixed circles.
- If the rolling circle has a radius of 1 and the fixed circle has a radius of 2, the hypotrochoid is known as an astroid.
- Another type of hypotrochoid is the hypocycloid, which is generated by a point fixed to a circle rolling on the inside of a larger circle.
- Hypotrochoids can be used to create decorative patterns or as gears in certain machines.
- The design of some fountains features hypotrochoidal shapes, resulting in intricate and visually appealing water patterns.
- Hypotrochoids find application in architecture and ornamental design, where they add a touch of mathematical elegance.
- The study of hypotrochoids is a branch of geometry called epitrochoid theory, which explores their properties and applications.
- The shape of a hypotrochoid can range from simple to complex, depending on the parameters used to generate it.
FAQs About the word hypotrochoid
A curve, traced by a point in the radius, or radius produced, of a circle which rolls upon the concave side of a fixed circle. See Hypocycloid, Epicycloid, and
No synonyms found.
No antonyms found.
The curve generated by a point fixed to a circle rolling on the inside of a larger fixed circle is known as a hypotrochoid.
Hypotrochoids occur in many natural phenomena, such as the patterns of waves and the shapes of certain microorganisms.
The shape of a hypotrochoid depends on the ratio of the radii of the rolling and fixed circles.
If the rolling circle has a radius of 1 and the fixed circle has a radius of 2, the hypotrochoid is known as an astroid.
