cycloid

/'saiklɔid/

Thân thiện

A child draws a perfect cycloid on the chalkboard.

Definition

1. Adjective:

   • Resembling a circle: Having a form or outline that is circular or nearly circular.

2. Noun:

   • A curve traced by a point on a circle rolling along a straight line: In geometry, a specific type of curve generated when a circle rolls, without slipping, along a straight line. The path traced by a fixed point on the circle's circumference is a cycloid.

Usage Examples

• Adjective:

  • The fossil's scales had a smooth, cycloid shape.
  • The architect favored cycloid arches in the design.

• Noun:

  • The cycloid is a classic curve studied in calculus and physics.
  • Galileo studied the properties of the cycloid in the 17th century.

Advanced Usage

• In Mathematics/Physics: The cycloid is significant as the curve of fastest descent (the brachistochrone curve) and the curve of equal descent time (the tautochrone curve).
  • The solution to the brachistochrone problem is an inverted cycloid.

Variants and Related Words

• Cycloidal (adj): Of or relating to a cycloid.
  • The motion was described by a cycloidal function.
• Epicycloid (n): A curve generated by a point on a circle rolling around the outside of another fixed circle.
• Hypocycloid (n): A curve generated by a point on a circle rolling around the inside of another fixed circle.

Synonyms

• Adjective: Circular, rounded, ring-shaped.
• Noun: Roulette (in a specific geometric context).

Related Phrases

• Cycloid scale: (In biology) A type of fish scale that is smooth-edged and rounded, named for its shape.
  • Salmon have cycloid scales.

Học thuật

Adjective

1. resembling a circle

Noun

1. a line generated by a point on a circle rolling along a straight line

Từ đồng nghĩa

• cycloidal