https://organic-geometry.net/categories/book/ Recent content in Book on The Wonderful World of Organic Geometry Hugo en Tue, 11 Mar 2025 00:00:00 +0000 https://organic-geometry.net/posts/pgbook/ch1/testbook/ Tue, 11 Mar 2025 00:00:00 +0000 https://organic-geometry.net/posts/pgbook/ch1/testbook/ <p>We saw in the previous tutorial that projective geometry arose out of perspective painting by the addition of new elements, first noticed by Renaissance painters, where parallel lines and planes meet.</p> <p>The addition of these new elements in projective geometry (PG) had unexpected and far-reaching consequences. To simplify the discussion, we focus now on 2D projective geometry, the projective plane $P(\mathbb{R}^2)$. It arises from the euclidean plane $\mathbf{E}^2$ by adding an ideal line along with all its points, the <em>ideal</em> points of the projective plane.</p>