September 18th, 2017, 05:57 AM  #1 
Member Joined: May 2017 From: Slovenia Posts: 89 Thanks: 0  Curve vs Surface
I have a definition for curve and surface in my notebook that I don't really understand. Below are screenshots from the definitions and I would be really thankful if somebody explains them to me. Or you can explain to me what curve and surface is the way you know it. Thank you 
September 18th, 2017, 06:32 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,671 Thanks: 2651 Math Focus: Mainly analysis and algebra 
A curve is a 1dimensional object (a path) in $n$dimensional space. It therefore has a single free parameter which defines the corresponding point in space. A surface is a 2dimensional object in $n$dimensional space. It therefore has two free parameters which define the corresponding point in space, one parameter isn't sufficient. 

Tags 
curve, surface 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Generating a discrete curve over n interval with a set sum value (under curve)  oliver92  Applied Math  1  November 21st, 2015 03:43 AM 
Surface Integrals  nemsest  Calculus  1  April 1st, 2013 03:13 AM 
Surface  mia6  Calculus  3  February 15th, 2010 06:54 PM 
curve (data) similarity  load curve  Marin  Advanced Statistics  0  March 30th, 2009 01:23 PM 
Surface Area of a Polar Curve  orunappi  Calculus  1  January 21st, 2009 09:34 AM 