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Isoptic Point of the Complete Quadrangle.
- Source :
-
Axioms (2075-1680) . Jun2024, Vol. 13 Issue 6, p349. 17p. - Publication Year :
- 2024
-
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 A B C D , which is the inverse point to A ′ , B ′ , C ′ , and D ′ with respect to circumscribed circles of the triangles B C D , A C D , A B D , and A B C , 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CARTESIAN coordinates
*TRIANGLES
*CIRCLE
*GEOMETRY
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 13
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 178159328
- Full Text :
- https://doi.org/10.3390/axioms13060349