"놀라운 펜타그램 (Pentagramma Mirificum)"의 두 판 사이의 차이
Pythagoras0 (토론 | 기여) |
Pythagoras0 (토론 | 기여) |
||
| 19번째 줄: | 19번째 줄: | ||
==리뷰, 에세이, 강의노트== | ==리뷰, 에세이, 강의노트== | ||
| + | * Schwartz, Richard Evan, and Serge Tabachnikov. 2010. “Elementary Surprises in Projective Geometry.” The Mathematical Intelligencer 32 (3): 31–34. doi:10.1007/s00283-010-9137-8. | ||
* [http://zakuski.utsa.edu/~gokhman/ecz/gu006.html Geometric Unfolding of a Difference Equation] E. Christopher Zeeman, K.B., F.R.S. UT San Antonio, March 10, 1997 / Trinity University, March 17, 1997 | * [http://zakuski.utsa.edu/~gokhman/ecz/gu006.html Geometric Unfolding of a Difference Equation] E. Christopher Zeeman, K.B., F.R.S. UT San Antonio, March 10, 1997 / Trinity University, March 17, 1997 | ||
| − | |||
| − | |||
==관련논문== | ==관련논문== | ||
* Coxeter, H. S. M. 1971. “Frieze Patterns.” Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica 18: 297–310. https://eudml.org/doc/204992 | * Coxeter, H. S. M. 1971. “Frieze Patterns.” Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica 18: 297–310. https://eudml.org/doc/204992 | ||
* Cayley, Arthur. 2009. “427. On Gauss’ Pentagramma Mirificum.” In The Collected Mathematical Papers. Vol. 7. Cambridge Library Collection - Mathematics. Cambridge University Press. http://dx.doi.org/10.1017/CBO9780511703737.012. | * Cayley, Arthur. 2009. “427. On Gauss’ Pentagramma Mirificum.” In The Collected Mathematical Papers. Vol. 7. Cambridge Library Collection - Mathematics. Cambridge University Press. http://dx.doi.org/10.1017/CBO9780511703737.012. | ||
2013년 11월 2일 (토) 10:54 판
메모
- http://mathcentral.uregina.ca/mp/previous2006/nov06sol.php
- http://www.math.uni-bielefeld.de/~sek/cluster/pentagramma/
- http://science.larouchepac.com/gauss/pentagramma/
- http://math.univ-lyon1.fr/~okra/Claude2009/TALKS/Claude-fest-Tabachnikov.pdf
- Schechtman, Vadim. 2011. “Pentagramma Mirificum and Elliptic Functions”. ArXiv e-print 1106.3633. http://arxiv.org/abs/1106.3633.
- http://www.larouchepub.com/eiw/public/2005/2005_40-49/2005-40/pdf/40-49_39_featbruce.pdf
Gauss was intrigued by the relationship of Napier’s spherical pentagram to his elliptical transcendentals. He realized that Napier’s pentagramma mirificum established that a spherical surface had an intrinsic five-fold periodicity. He saw this five-fold periodicity in light of a well known discovery of Apollonius that five points are required to uniquely determine a conic section. This distinguishes the general conic section from a circle, which requires only three points, and a line, that requires only two. Gauss recognized that the five-fold periodicity of the sphere and the five point determination of conics, reflected the distinction between the higher form of elliptical transcendentals and the lower form of transcendental associated with circular, hyperbolic and exponential functions.
수학용어번역
사전 형태의 자료
리뷰, 에세이, 강의노트
- Schwartz, Richard Evan, and Serge Tabachnikov. 2010. “Elementary Surprises in Projective Geometry.” The Mathematical Intelligencer 32 (3): 31–34. doi:10.1007/s00283-010-9137-8.
- Geometric Unfolding of a Difference Equation E. Christopher Zeeman, K.B., F.R.S. UT San Antonio, March 10, 1997 / Trinity University, March 17, 1997
관련논문
- Coxeter, H. S. M. 1971. “Frieze Patterns.” Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica 18: 297–310. https://eudml.org/doc/204992
- Cayley, Arthur. 2009. “427. On Gauss’ Pentagramma Mirificum.” In The Collected Mathematical Papers. Vol. 7. Cambridge Library Collection - Mathematics. Cambridge University Press. http://dx.doi.org/10.1017/CBO9780511703737.012.