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HYPERBOLIC AND SPHERICAL POWER OF A CIRCLE
- Kim, Young Wook;
- Koh, Sung-Eun;
- Lee, Hyung Yong;
- Shin, Heayong;
- Yang, Seong-Deog
Citations
WEB OF SCIENCE
0Citations
SCOPUS
0초록
Suppose that a line passing through a given point P intersects a given circle C at Q and R in the Euclidean plane. It is well known that |P Q||P R| is independent of the choice of the line as long as the line meets the circle at two points. It is also known that similar properties hold in the 2-sphere and in the hyperbolic plane. New proofs for the similar properties in the 2-sphere and in the hyperbolic plane are given. © 2023 Korean Mathematical Society.
키워드
conformal metric; hyperbolic plane; Power of a circle; sphere
- 제목
- HYPERBOLIC AND SPHERICAL POWER OF A CIRCLE
- 저자
- Kim, Young Wook; Koh, Sung-Eun; Lee, Hyung Yong; Shin, Heayong; Yang, Seong-Deog
- 발행일
- 2023-03-01
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 60
- 호
- 2
- 페이지
- 507 ~ 514
- 언어
- ENG
- 출판사
- Korean Mathematical Society
- 발행국가
- 대한민국
- 분량
- 8 페이지
- ISSN
- E 2234-3016
P 1015-8634