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Dalam geometri, diberikan sebuah segitiga … Dalam geometri, diberikan sebuah segitiga , terdapat titik-titik tunggal , , dan di sisi , , , seperti: , , dan membagi keliling dari segitiga menjadi tiga potongan dengan panjang yang sama, yaitu, . Tiga garis , , dan bertemu dalam sebuah titik, titik keliling bagi tiga sama (bahasa Inggris: trisected perimeter point). Ini adalah titik dalam Encyclopedia of Triangle Centers Clark Kimberling. Ketunggalan dan sebuah rumus untuk dari ditunjukkan oleh Peter Yff di akhir abad keduapuluh. Rumus tersebut melibatkan akar real tunggal dari sebuah persamaan kubik. real tunggal dari sebuah persamaan kubik.
, Em geometria, dado um triângulo ABC, exist … Em geometria, dado um triângulo ABC, existem os únicos pontos A´, B´ e C´ sobre os lados BC, CA e AB, respectivamente, tal que:
* A´, B´ e C´ particionam o perímetro do triângulo em três trechos de igual comprimento. Ou seja,C´B + BA´ = B´A + AC´ = A´C + CB´.
* As três linhas AA´, BB´ e CC´ cruzam-se em um ponto, o ponto de perímetro trisseccionado. Este é o ponto X369 na Encyclopedia of Triangle Centers de Clark Kimberling. A unicidade e uma fórmula para as coordenadas trilineares X369 foram mostradas por no final do século XX. A fórmula envolve a raiz real única de uma equação cúbica.e a raiz real única de uma equação cúbica.
, In geometry, given a triangle ABC, there e … In geometry, given a triangle ABC, there exist unique points A´, B´, and C´ on the sides BC, CA, AB respectively, such that:
* A´, B´, and C´ partition the perimeter of the triangle into three equal-length pieces. That is,C´B + BA´ = B´A + AC´ = A´C + CB´.
* The three lines AA´, BB´, and CC´ meet in a point, the trisected perimeter point. This is point X369 in Clark Kimberling's Encyclopedia of Triangle Centers. Uniqueness and a formula for the trilinear coordinates of X369 were shown by Peter Yff late in the twentieth century. The formula involves the unique real root of a cubic equation. the unique real root of a cubic equation.
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| rdfs:comment |
In geometry, given a triangle ABC, there e … In geometry, given a triangle ABC, there exist unique points A´, B´, and C´ on the sides BC, CA, AB respectively, such that:
* A´, B´, and C´ partition the perimeter of the triangle into three equal-length pieces. That is,C´B + BA´ = B´A + AC´ = A´C + CB´.
* The three lines AA´, BB´, and CC´ meet in a point, the trisected perimeter point. This is point X369 in Clark Kimberling's Encyclopedia of Triangle Centers. Uniqueness and a formula for the trilinear coordinates of X369 were shown by Peter Yff late in the twentieth century. The formula involves the unique real root of a cubic equation. the unique real root of a cubic equation.
, Em geometria, dado um triângulo ABC, exist … Em geometria, dado um triângulo ABC, existem os únicos pontos A´, B´ e C´ sobre os lados BC, CA e AB, respectivamente, tal que:
* A´, B´ e C´ particionam o perímetro do triângulo em três trechos de igual comprimento. Ou seja,C´B + BA´ = B´A + AC´ = A´C + CB´.
* As três linhas AA´, BB´ e CC´ cruzam-se em um ponto, o ponto de perímetro trisseccionado. Este é o ponto X369 na Encyclopedia of Triangle Centers de Clark Kimberling. A unicidade e uma fórmula para as coordenadas trilineares X369 foram mostradas por no final do século XX. A fórmula envolve a raiz real única de uma equação cúbica.e a raiz real única de uma equação cúbica.
, Dalam geometri, diberikan sebuah segitiga … Dalam geometri, diberikan sebuah segitiga , terdapat titik-titik tunggal , , dan di sisi , , , seperti: , , dan membagi keliling dari segitiga menjadi tiga potongan dengan panjang yang sama, yaitu, . Tiga garis , , dan bertemu dalam sebuah titik, titik keliling bagi tiga sama (bahasa Inggris: trisected perimeter point). Ini adalah titik dalam Encyclopedia of Triangle Centers Clark Kimberling. Ketunggalan dan sebuah rumus untuk dari ditunjukkan oleh Peter Yff di akhir abad keduapuluh. Rumus tersebut melibatkan akar real tunggal dari sebuah persamaan kubik. real tunggal dari sebuah persamaan kubik.
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| rdfs:label |
Trisected perimeter point
, Ponto de perímetro trisseccionado
, Titik keliling bagi tiga sama
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