개인구독
소속 기관이 없으신 경우, 개인 정기구독을 하시면 저렴하게
논문을 무제한 열람 이용할 수 있어요.
지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
In this paper we characterize the isogonal and isotomic conjugates of conic. Every conic can be expressed by a quadratic rational Bézier curve having control polygon b0b1b2 with weight w>0. We show that the isotomic conjugate of parabola and hyperbola with respect to ∆b0b1b2 is ellipse, and that the isotomic conjugate of ellipse with the weight w=1/2 is identical. We also find all cases of the isogonal conjugate of conic with respect to ∆b0b1b2. Our characterizations are derived easily due to the expression of conic by the quadratic rational Bezier curvein standard form.
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
A. Goddijn / 2005 / Triangle-Conic Porism / Forum Geom 5 : 57 ~ 61
A.P. Guinand / 1975 / Graves triads in the geometry of the triangle / Journal of Geometry 6 : 131 ~ 142
A.V. Akopyan / 2012 / Conjugation of lines with respect to a triangle / J. Classical Geometry 1 : 23 ~ 31
C. Kimberling / 2002 / Conjugacies in the plane of a triangle / Aequationes Mathematicae 63 : 158 ~ 167
G. Farin / 2002 / Curves and Surfaces for CAGD / Morgan-Kaufmann
A.P. Guinand / 1975 / Graves triads in the geometry of the triangle / Journal of Geometry 6 : 131 ~ 142
A.V. Akopyan / 2012 / Conjugation of lines with respect to a triangle / J. Classical Geometry 1 : 23 ~ 31
C. Kimberling / 2002 / Conjugacies in the plane of a triangle / Aequationes Mathematicae 63 : 158 ~ 167
G. Farin / 2002 / Curves and Surfaces for CAGD / Morgan-Kaufmann
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Isotomic and Isogonal Conjugates Tangent Lines of Lines at Vertices of Triangle
조선자연과학논문집
2017 .01
-
Hyper-conjugate harmonic function of conic regular functions in conic quaternions
East Asian Mathematical Journal
2015 .01
-
Conic regular functions of conic quaternion variables in the sense of Clifford analysis
East Asian Mathematical Journal
2015 .01
-
Biot의 원뿔곡선에 관한 conjecture의 재해석
East Asian Mathematical Journal
2020 .01
-
Free and nearly free curves from conic pencils
대한수학회지
2018 .01
-
Inequalities among means of two positive arguments in index (conjugate index) sets
Proceedings of the Jangjeon Mathematical Society
2023 .04
-
Conics in quintic del Pezzo varieties
대한수학회지
2024 .03
-
Conjugate space of fuzzy soft normed linear space
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2017 .05
-
A NONLINEAR CONJUGATE GRADIENT METHOD AND ITS GLOBAL CONVERGENCE ANALYSIS
Journal of applied mathematics & informatics
2016 .01
-
ON EXISTENCE AND DISTRIBUTION OF CONJUGATE POINTS IN FINSLER GEOMETRY
충청수학회지
2017 .01
-
CENTROID OF TRIANGLES ASSOCIATED WITH A CURVE
대한수학회보
2015 .01
-
Design of flexible electrochromic film based on conjugated polymers for energy saving
한국자기학회 학술연구발표회 논문개요집
2023 .05
-
Conjugated polymer-aided synthesis of gold nanoparticle hybrids : size and shape control
한국진공학회 학술발표회초록집
2016 .08
-
Modular Multiplicative Inverses of Fibonacci Numbers in Medieval Islam Using Conic Sections
East Asian Mathematical Journal
2019 .01
-
ON TRIANGLES ASSOCIATED WITH A CURVE
대한수학회보
2015 .01
-
The main component of a reducible Hilbert curve of conic fibrations
대한수학회지
2021 .09
-
대수와 기하의 수학적 연결성 지도를 위한 Khayyam과 Al-K?shi의 문제 해결 방법 재조명 및 시각화
East Asian Mathematical Journal
2021 .08
-
Area of triangles associated with a curve II
대한수학회보
2015 .01
-
두 조작의 합성으로서의 유리수 곱의 이론적 배경 고찰
East Asian Mathematical Journal
2017 .01
-
AN OPTIMAL BOOSTING ALGORITHM BASED ON NONLINEAR CONJUGATE GRADIENT METHOD
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2018 .03
이 논문의 저자 정보
최근 본 자료
댓글(0)
0