conics

Meanings

• noun

  Branches of mathematics dealing with the study of conic sections, which are curves obtained from the intersection of a cone and a plane.

  - "Conics is a branch of mathematics that studies the properties of conic sections."
  - "The parabola, ellipse, and hyperbola are examples of conic sections."
  - "The equation of a circle is a special case of a conic section."

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Variants

List of all variants of conics that leads to same result
conic , conics

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Etymology

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

From the Greek word 'kone', meaning 'pointed hat' or 'cone'.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The study of conics was initiated by the ancient Greeks, particularly Apollonius of Perga.

2. Conics are essential in understanding the motion of planets and other celestial bodies.

3. The focus and directrix of a parabola are the same point, making it a special case among the conic sections.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Conic sections: The curves obtained by intersecting a double-napped cone with a plane: ellipse, parabola, and hyperbola.

2. Circle: A special case of a conic section with all radii equal to the center-point.

3. Ellipse: A conic section where the plane intersects the cone between two sheets. The sum of the distances from any point on the ellipse to the two foci is constant.

4. Parabola: A conic section where the plane intersects the cone at a single point. The distance from any point on the parabola to the focus is equal to the distance from that point to the directrix.

5. Hyperbola: A conic section where the plane intersects the cone outside both sheets. The distance from any point on the hyperbola to one focus is greater than the distance to the other focus.

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Culture

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Conics have been studied since ancient times and have numerous applications in various fields such as physics, engineering, and astronomy.

How to Memorize "conics"

1. visualize
   

   - To memorize conics, visualize the intersections of a double-napped cone with various planes to understand the different conic sections.

2. associate
   

   - Associate the names of the conic sections with their shapes: ellipse, parabola, and hyperbola.

3. mnemonics
   

   - Create a mnemonic using the first letter of each conic section: 'Ellipses are Easy, Parabolas are Parabolic, Hyperbolas Have Huge Halos'.

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