Your Name]In summary, Copernican geometry is a lesser-known aspect of Nicolaus Copernicus' work, which he used to support his theory of heliocentrism in his treatise "De Revolutionibus Orbium Coelestium." This geometry involves the use of straight lines and arcs, plane and spherical triangles, and Euclid's Elements to understand the relationship between angles and sides. Copernicus states that this is crucial in proving his theory, as the angle and the subtending straight line do not measure each other.

#### neilparker62

Homework Helper
Introduction
Whilst no doubt most frequenters of “Physics Forums” will be familiar with Nicolaus Copernicus as the scientist who advanced the (at the time) radical thesis that the Earth revolved around the sun rather than vice versa, a perhaps less well-known aspect of his work is the “nuts and bolts” geometry underlying his ground-breaking treatise: “De Revolutionibus Orbium Coelestium” (On the Revolutions of the Heavenly Spheres).  In this article (and perhaps others to follow), we analyse “Copernican geometry” in light of its stated intent:
Because the proofs which we shall use in almost the entire work deal with straight lines and arcs, with plane and spherical triangles, and because Euclid’s Elements, although they clear up much of this, do not have what is here most required, namely how to find the sides from the angles and the angles from the sides, since the angle does not measure the subtending straight line – just as the line does not measure the angle – but the arc does...

Last edited by a moderator:
Greg Bernhardt

Dear fellow forum members,

I am excited to discuss the topic of "Copernican geometry" with you all. As a scientist, I am constantly fascinated by the history of scientific discoveries and the methods used by our predecessors to understand the world around us.

Nicolaus Copernicus' work on heliocentrism is undoubtedly well-known, but I am also intrigued by his use of geometry in his groundbreaking treatise, "De Revolutionibus Orbium Coelestium." In this article, Copernicus mentions the importance of using straight lines and arcs, plane and spherical triangles, and Euclid's Elements in understanding his theory.

As Copernicus states, finding the sides from the angles and the angles from the sides is a crucial aspect of his work. This requires a deeper understanding of geometry, as the angle does not measure the subtending straight line, and vice versa.

I look forward to delving deeper into Copernican geometry and analyzing its significance in the context of his theory. I believe this discussion will not only enhance our understanding of Copernicus' work but also highlight the importance of geometry in scientific discoveries.

Let's engage in a fruitful and informative discussion on this fascinating topic.

Best regards,