60-120 isoptic of a parabola
- Author:
- Thierry Dana-Picard
- Topic:
- Parabola
A alpha-isoptic curve of a curve C is the geometric locus of points through whic passes a pair of tangents making an angle of "alpha". The 60-isoptic and the 120-isoptic of the given parabola are the twpo btanches of the same hyperbola. Move the points to check this.
Some references:
N. Zehavi, G. Mann and Th. Dana-Picard, (in Hebrew) (2007): What can be learnt when changing the point of view on conic sections?, Aleh 38, 22-31. Th. Dana-Picard, G. Mann and N. Zehavi (2011): From conic intersections to toric intersections: the case of the isoptic curves of an ellipse, The Montana Mathematical Enthusiast 9 (1), 59-76. Available: http://www.math.umt.edu/TMME/vol9no1and2/index.html.