hypotrochoid (Meaning)

Webster

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

  1. The curve generated by a point fixed to a circle rolling on the inside of a larger fixed circle is known as a hypotrochoid.
  2. Hypotrochoids occur in many natural phenomena, such as the patterns of waves and the shapes of certain microorganisms.
  3. The shape of a hypotrochoid depends on the ratio of the radii of the rolling and fixed circles.
  4. 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.
  5. 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.
  6. Hypotrochoids can be used to create decorative patterns or as gears in certain machines.
  7. The design of some fountains features hypotrochoidal shapes, resulting in intricate and visually appealing water patterns.
  8. Hypotrochoids find application in architecture and ornamental design, where they add a touch of mathematical elegance.
  9. The study of hypotrochoids is a branch of geometry called epitrochoid theory, which explores their properties and applications.
  10. 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.