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#1 2011-11-26 16:49:48
Sufficient condition left out about parallel linesFrom: The lines must also have different y-intercepts, else they are the same line. So, if you know that their slopes are the same, then you don't (automatically) know if they are parallel lines or not. ------------------------------------------------------------------ Edit: On parallel vertical lines: "a vertical line is parallel to another vertical line." No, for example, x = -2 is a vertical line, and 3x + 6 = 0 is another vertical line. These lines are not parallel to each other because they are the same line. Distinct vertical lines are parallel to each other. Last edited by reconsideryouranswer (2011-11-26 17:01:32) Signature line: I wish a had a more interesting signature line. #2 2011-11-26 22:28:25
Re: Sufficient condition left out about parallel linesThank you. Will review that page. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman #3 2012-05-26 08:46:04
Re: Sufficient condition left out about parallel linesActually,tge definition of when two lines are parallel is when they are in the same plane and they do not intersect. I.e. A line is always parallel to itself. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
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