Definitions for quadrisection
quadri·sec·tion

WiktionaryRate this definition:0.0 / 0 votes

1. quadrisectionnoun

   The action of dividing something into four parts.

2. quadrisectionnoun

   One fourth of something.

WikipediaRate this definition:0.0 / 0 votes

1. quadrisection

   In triangle geometry, the Bernoulli quadrisection problem asks how to divide a given triangle into four equal-area pieces by two perpendicular lines. Its solution by Jacob Bernoulli was published in 1687. Leonhard Euler formulated a complete solution in 1779.As Euler proved, in a scalene triangle, it is possible to find a subdivision of this form so that two of the four crossings of the lines and the triangle lie on the middle edge of the triangle, cutting off a triangular area from that edge and leaving the other three areas as quadrilaterals. It is also possible for some triangles to be subdivided differently, with two crossings on the shortest of the three edges; however, it is never possible for two crossings to lie on the longest edge. Among isosceles triangles, the one whose height at its apex is 8/9 of its base length is the only one with exactly two perpendicular quadrisections. One of the two uses the symmetry axis as one of the two perpendicular lines, while the other has two lines of slope ± 1 {\displaystyle \pm 1} , each crossing the base and one side.This subdivision of a triangle is a special case of a theorem of Richard Courant and Herbert Robbins that any plane area can be subdivided into four equal parts by two perpendicular lines, a result that is related to the ham sandwich theorem. Although the triangle quadrisection has a solution involving the roots of low-degree polynomials, the more general quadrisection of Courant and Robbins can be significantly more difficult: for any computable number α {\displaystyle \alpha } there exist convex shapes whose boundaries can be accurately approximated to within any desired error in polynomial time, with a unique perpendicular quadrisection whose construction computes α {\displaystyle \alpha } .In 2022, the first place in an Irish secondary school science competition, the Young Scientist and Technology Exhibition, went to a project by Aditya Joshi and Aditya Kumar using metaheuristic methods to find numerical solutions to the Bernoulli quadrisection problem.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Quadrisectionnoun

   a subdivision into four parts

2. Etymology: [Quadri- + section.]

Chambers 20th Century DictionaryRate this definition:0.0 / 0 votes

1. Quadrisection

   kwod-ri-sek′shun, n. a division into four equal parts. [L. quatuor, four, secāre, sectum, to cut.]

How to pronounce quadrisection?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say quadrisection in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of quadrisection in Chaldean Numerology is: 7

2. Pythagorean Numerology

   The numerical value of quadrisection in Pythagorean Numerology is: 2

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Quadrisection
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Quadrisection
3. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/quadrisection
4. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=quadrisection