ScholarLens Back to search
1909•Proceedings of the Edinburgh Mathematical SocietyOpen access

Triangles Triply in Perspective

Charles M‘Leod, William P. Milne

Open full text 0 citations

Abstract

The following way of viewing triangles triply in perspective is of interest. Two triangles ABC and PQR are said to be “in perspective” if the joins of corresponding vertices be concurrent. Thus if U be the point of concurrency we have the following collineations:— 2. Triangles doubly in perspective are also triply in perspective. Let the two triangles ABC and PQR be doubly in perspective, the two centres of perspective being U and V.

Open-access reader

About this research paper

What this paper is about

The following way of viewing triangles triply in perspective is of interest. Two triangles ABC and PQR are said to be “in perspective” if the joins of corresponding vertices be concurrent. Thus if U be the point of concurrency we have the following collineations:— 2. Triangles doubly in perspective are also triply in perspective. Let the two triangles ABC and PQR be doubly in perspective, the two centres of perspective being U and V.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The following way of viewing triangles triply in perspective is of interest. Two triangles ABC and PQR are said to be “in perspective” if the joins of corresponding vertices be concurrent. Thus if U be the point of concurrency we have the following collineations:— 2. Triangles doubly in perspective are also triply in perspective. Let the two triangles ABC and PQR be doubly in perspective, the two centres of perspective being U and V.

Key concepts: Perspective (graphical), Point (geometry), Joins, Concurrency, Combinatorics, Mathematics, Computer science, Geometry

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Triangles Triply in Perspective — Research Paper | ScholarLens