prolate cycloid Synonyms
No Synonyms and anytonyms found
prolate cycloid Meaning
Wordnet
prolate cycloid (n)
a cycloid generated by a point outside the rolling circle
prolate cycloid Sentence Examples
- A prolate cycloid is a curve traced by a point on the circumference of a circle as it rolls along a straight line, where the diameter of the rolling circle is greater than the length of the line segment.
- The prolate cycloid is one of the three types of cycloids, alongside the common cycloid and the curtate cycloid.
- Mathematicians study the properties of the prolate cycloid for its applications in geometry and kinematics.
- The equation describing the prolate cycloid involves trigonometric functions and parametric equations.
- Engineers utilize the prolate cycloid in designing gears and cam mechanisms for smooth motion.
- The prolate cycloid has unique characteristics, such as its cusps, which distinguish it from other curves.
- In physics, the prolate cycloid arises in problems involving the motion of particles along curved paths.
- The prolate cycloid has been studied since antiquity, with ancient mathematicians like Archimedes making significant contributions to its understanding.
- The prolate cycloid can be visualized using mathematical software or constructed using geometric principles.
- Understanding the prolate cycloid's properties aids in the design of machinery, robotics, and other mechanical systems.
FAQs About the word prolate cycloid
a cycloid generated by a point outside the rolling circle
No synonyms found.
No antonyms found.
A prolate cycloid is a curve traced by a point on the circumference of a circle as it rolls along a straight line, where the diameter of the rolling circle is greater than the length of the line segment.
The prolate cycloid is one of the three types of cycloids, alongside the common cycloid and the curtate cycloid.
Mathematicians study the properties of the prolate cycloid for its applications in geometry and kinematics.
The equation describing the prolate cycloid involves trigonometric functions and parametric equations.
