臺灣博碩士論文加值系統

在此論文中我們討論圓錐曲線的性質,包括公切線相交點及焦點.
我們亦討論圓錐曲線的公切線相交點及焦點的尺規作圖的可能性.

In this paper, we discuss properties of conics, their common tangent lines, intersection points, and foci. We also discuss the possibility of the construction of their common tangent lines, intersection points, and foci by means of ruler and compass.

Introduction ............................................................................ 1
Chapter 1. Preliminaries.......................................................... 2
Chapter 2. Main results........................................................... 8
Section 2.1.......................................................................... 9
Section 2.2........................................................................ 13
Section 2.3........................................................................ 18
References.............................................................................. 23

[1]H. S. M. Coxeter and S. L. Greitzer, Geometry Revisited, The Mathematical Association of America, 1967.
[2] H. S. M. Coxeter, Projective Geometry ( 2nd ed. ), Univ. of Toronto Press, 1974, Toronto.
[3] Luigi Cremona, Elements of Projective Geometry, translated by Charles Leudesdorf, M. A. ( 3rd ed. ), Dover Publications, Inc., 1960, New York.
[4] Ross Honsberger, Episodes in Nineteenth and Twentieth Century Euclidean Geometry, The Mathematical Association of America, 1995.
[5] C. Zwikker, The Advanced Geometry of Plane Curves and Their Applications, Dover Publications, Inc., 1963, New York.