Isoptic Point of the Complete Quadrangle

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-24 DOI:10.3390/axioms13060349

E. Jurkin, Marija Šimić Horvath, V. Volenec

引用次数: 0

Abstract

In this paper, we study the complete quadrangle. We started this investigation in a few of our previous papers. In those papers and here, the rectangular coordinates are used to enable us to prove the properties of the rich geometry of a quadrangle using the same method. Now, we are focused on the isoptic point of the complete quadrangle ABCD, which is the inverse point to A′,B′,C′, and D′ with respect to circumscribed circles of the triangles BCD, ACD, ABD, and ABC, respectively, where A′,B′,C′, and D′ are isogonal points to A,B,C, and D with respect to these triangles. In studying the properties of the quadrangle regarding its isoptic point, some new results are obtained as well.

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完整四边形的等视点

在本文中，我们将研究完整的四边形。我们在之前的几篇论文中已经开始了这项研究。在这些论文和本文中，我们都使用了矩形坐标，以便用同样的方法证明四边形的丰富几何性质。现在，我们将重点放在完整四边形 ABCD 的等视点上，它是 A′、B′、C′ 和 D′相对于三角形 BCD 的圆周圆的反向点、ACD、ABD 和 ABC，其中 A′、B′、C′和 D′分别是 A、B、C 和 D 关于这些三角形的等轴点。在研究四边形关于其等视点的性质时，还得到了一些新结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.