quadratrix

Meanings

• noun

  A curve traced out by a point on the circumference of a circle that rolls without slipping along the inside of another circle.

  - "The quadratrix is a curve generated by a point on the circumference of a rolling circle."
  - "In geometry, the quadratrix is a curve with an interesting property."

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Variants

List of all variants of quadratrix that leads to same result
quadratic , quadratical , quadratically , quadratics , quadratic equation , quadratic equations , quadratic form , quadratic forms , quadratic formula , quadratic formulas

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Etymology

origin and the way in which meanings have changed throughout history.

From the Latin 'quadrare' meaning 'to square', and 'rix' meaning 'ruler' or 'master'. The term refers to the way the quadratus, or square, shape of the rolling circle is related to the generation of the quadratrix curve.

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Trivia

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1. The quadratrix was first described by Archimedes in his work 'Quadrature of the Parabola'.

2. The quadratrix is also known as the 'Archimedean spiral'.

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Related Concepts

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1. Circle: The quadratrix is a curve traced out by a point on the circumference of a rolling circle.

2. Rolling circle: The quadratrix is generated by a point on the circumference of a rolling circle.

3. Geometry: The quadratrix is a curve studied in the field of geometry.

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Culture

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The quadratus is a curve that has been studied in mathematics for centuries, and has applications in various fields such as geometry, calculus, and engineering. It was first described by the ancient Greek mathematician Archimedes, and has since been a subject of interest for many mathematicians and scientists.

How to Memorize "quadratrix"

1. visualize
   

   - Imagine a circle rolling inside another circle. The point on the circumference of the rolling circle traces out the quadratrix curve.
   - Visualize a quadratus shape being generated by the rolling circle.

2. associate
   

   - Associate the quadratrix with the rolling of circles.
   - Remember that the quadratrix is a curve traced out by a point on the circumference of a rolling circle.

3. mnemonics
   

   - Remember the mnemonic 'Quadratrix: A curve inside a rolling circle.'
   - Visualize the quadratus shape to remember the name of the curve.

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