Constructive harmonic conjugates

被引：0
作者：
Mandelkern, Mark [1 ]
机构：
[1] New Mexico State Univ, Dept Math, Las Cruces, NM 88003 USA
来源：
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2019年 / 60卷 / 02期
关键词：
Projective geometry; Harmonic conjugates; Constructive mathematics;
D O I：
10.1007/s13366-018-0411-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the synthetic study of the real projective plane, harmonic conjugates have an essential role, with applications to projectivities, involutions, and polarity. The construction of a harmonic conjugate requires the selection of auxiliary elements; it must be verified, with an invariance theorem, that the result is independent of the choice of these auxiliary elements. A constructive proof of the invariance theorem is given here; the methods used follow principles put forth by Errett Bishop.
引用
收藏
页码：391 / 398
页数：8
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