
Linear Algebra Linear Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 28th, 2014, 05:47 PM  #1 
Senior Member Joined: Nov 2013 Posts: 137 Thanks: 1  Connection between cesaro equation and polar coordinates
First, I'd like that you read this littler article (http://mathworld.wolfram.com/NaturalEquation.html). The solution given by Euler that coonects the system cartesian (x, y) with the curvature ? of the "cesaro system" (s, ?), is that the derivative of the cartesian tangential angle ?* wrt arc length s results the curvature ?. However, in the 2D plane is definied the polar tangential angle ?* too. Thus if I want express a curve given s and ? in terms of r and ? (or viceversa) I need to establish a connection between the curvature ? and the polar system. So, would be correct to say that the derivative of ? wrt s is equal to ?? * https://en.wikipedia.org/wiki/Tangential_angle https://en.wikipedia.org/wiki/Subtangent https://en.wikipedia.org/wiki/List_o....A0ro_equation EDIT: 

Tags 
cesaro, connection, coordinates, equation, polar 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Polar Coordinates  micle  Algebra  1  June 18th, 2013 02:09 PM 
polar coordinates  thescratchy  Calculus  0  March 5th, 2011 09:25 PM 
Polar coordinates  jj007  Calculus  2  June 15th, 2010 06:52 AM 
polar equation to rectangular coordinates  fact93  Calculus  2  February 28th, 2008 06:48 PM 
Converting cartesian coordinates to polar coordinates  Eppo  Algebra  5  January 9th, 2008 01:35 PM 