tractrix (Meaning)
tractrix (n.)
A curve such that the part of the tangent between the point of tangency and a given straight line is constant; -- so called because it was conceived as described by the motion of one end of a tangent line as the other end was drawn along the given line.
Synonyms & Antonyms of tractrix
No Synonyms and anytonyms found
tractrix Sentence Examples
- The tractrix, a curve formed by connecting the endpoints of perpendiculars drawn from a fixed point to a straight line, has remarkable mathematical properties.
- The tractrix is a transcendental curve, meaning it cannot be expressed by a finite algebraic equation.
- The tractrix was first studied by Renaissance mathematician Clairaut, who used it to solve problems in optics.
- The tractrix has applications in physics, particularly in the design of lenses and other optical systems.
- The tractrix is also used in architecture to create graceful curves for arches and domes.
- The tractrix has a unique mathematical representation as the curve defined by the differential equation dy/dx = y/sqrt(a^2-x^2).
- The tractrix is asymptotically parallel to the x-axis, making it suitable for use in problems involving infinite motion.
- The tractrix is the inverse curve of the catenary, which is the curve formed by a hanging chain.
- The tractrix is a member of a family of curves known as involutes, which are curves traced out by the endpoints of a string unwound from a fixed point.
- The tractrix has a fascinating connection to projectile motion, as it can be used to determine the path of a projectile moving in a gravitational field.
FAQs About the word tractrix
A curve such that the part of the tangent between the point of tangency and a given straight line is constant; -- so called because it was conceived as describe
No synonyms found.
No antonyms found.
The tractrix, a curve formed by connecting the endpoints of perpendiculars drawn from a fixed point to a straight line, has remarkable mathematical properties.
The tractrix is a transcendental curve, meaning it cannot be expressed by a finite algebraic equation.
The tractrix was first studied by Renaissance mathematician Clairaut, who used it to solve problems in optics.
The tractrix has applications in physics, particularly in the design of lenses and other optical systems.
