May 21, 2017 · So, it seems that a definition of a straight-line is circular, so to speak, because the configuration of that shape that forms the shortest distance between two points (that is, a …

Sep 30, 2004 · First off, my attached image will make things make sense. I have a triangle (with a 90 degrees corner), I know that the height is 20' and that the length is more than 58'. I need to …

Mar 13, 2025 · Vector spaces are often described as a set of arrows, i.e. a line segment with a direction that can be added, stretched, or compressed. That's where the term linear to …

Nov 13, 2020 · Is there a general method to determine what geometry some line element is describing? I realize that you can tell whether a space is flat or not (by diagonalising the …

Jul 28, 2008 · The discussion focuses on troubleshooting a MATLAB geometry M-file that is not functioning correctly, particularly concerning boundary segment definitions. The user identifies …

Dec 19, 2016 · In fact, Schwarzschild coordinates are not a single coordinate chart on this spacetime; each of the four regions, I, II, III, and IV, has its own Schwarzschild coordinate …

Aug 30, 2006 · A general orthogonal coordinate system (u,v,w) will have a line elemet of the form: ds^2 = f^2 du^2 + g^2dv^2 + h^2dw^2 I have done a lot of vector calculus, but for some …

Jan 25, 2017 · 1. Here is the Problem: A line passes through A(2,3) and B(5,7). Find: (a) the coordinates of the point P on AB extended through B to P so that P is twice as far from A as …

Dec 17, 2024 · Modal Geometry and Philosophy When asked about the difference between geometry and topology we could simply answer by 2,400 years of mathematics. Whereas …

Jun 25, 2011 · I'm reading a book on an introduction to non-Euclidean geometry, and it starts off with the usual Euclidean geometry. I didn't really need a line to be defined in that case, since …