arXiv Open Access 2022

Bisecting horn angles

Sergiy Koshkin

Lihat Sumber

Abstrak

A horn angle between a circle and its tangent is considered in Euclid's Elements, and Euclid remarks that it is smaller than any acute rectilinear angle. Already in antiquity, Proclus wondered whether it is possible to bisect horn angles. We will give a construction of a bisector which was within the means of ancient geometers since the time of Archimedes and Apollonius. We will also compare it to the conformal bisection method introduced in modern times.

Topik & Kata Kunci

math.MG math.HO

Penulis (1)

Sergiy Koshkin

Format Sitasi

APA MLA BibTeX

Koshkin, S. (2022). Bisecting horn angles. https://arxiv.org/abs/2206.09499

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓