KaydedilenlerDerginizi ekleyin

Dergiler / International Electronic Journal of Geometry / 2022 / Cilt: 15 - Sayı: 2

Quadrilaterals as Geometric Loci

Lorenz HALBEISEN
Norbert HUNGERBÜHLER
Juan LÄUCHLİ
Sayfa
321–333
Yayın Tarihi
2022-10-31
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We give necessary and sufficient conditions, both algebraic and geometric, for a quadrilateral to be the level set of the sum of the distances to m ≥ 2 different lines.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We give necessary and sufficient conditions, both algebraic and geometric, for a quadrilateral to be the level set of the sum of the distances to m ≥ 2 different lines.
📊
Temel Bulgular & Veri:We give necessary and sufficient conditions, both algebraic and geometric, for a quadrilateral to be the level set of the sum of the distances to m ≥ 2 different lines.
💡
Sonuç & Katkı:We give necessary and sufficient conditions, both algebraic and geometric, for a quadrilateral to be the level set of the sum of the distances to m ≥ 2 different lines.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Quadrilaterals · geometric locus · harmonic points

Abstract

We give necessary and sufficient conditions, both algebraic and geometric, for a quadrilateral to be the level set of the sum of the distances to m ≥ 2 different lines.

🔖

Bu Makaleye Atıf Yap

HALBEISEN, L., HUNGERBÜHLER, N., LÄUCHLİ, J. (2022). Quadrilaterals as Geometric Loci. International Electronic Journal of Geometry, Cilt: 15 - Sayı: 2, 321–333. https://ajindex.com/articles/672041

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (6)

  1. Elias Abboud. Viviani’s theorem and its extension. College Math. J., 41(3):203– 211, 2010
  2. Henk J. M. Bos. Redefining geometrical exactness. Descartes’ transformation of the early modern concept of construction. Sources and Studies in the History of Mathematics and Physical Sciences. Springer, New York, 2001
  3. Christoph Gudermann. Grundriss der analytischen Sphärik. DuMont-Schauberg, Köln, 1830
  4. Lorenz Halbeisen, Norbert Hungerbühler, and Juan Läuchli. Mit harmonischen Verhältnissen zu Kegelschnitten. Perlen der klassischen Geometrie. Springer Spektrum, Berlin, 2021
  5. Norbert Hungerbühler and Gerhard Wanner. Ceva-triangular points of a triangle. Elem. Math., 2021, published online first
  6. Wei Lai and Weng Kin Ho. Graphing a quadrilateral using a single cartesian equation. In Electronic Proceedings of the 22nd Asian Technology Conference in Mathematics, Chung Yuan Christian University, Chungli, Taiwan, December 15–19 2017. Mathematics and Technology, LLC.