My Math Forum find all the lines secant to the four lines

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 September 16th, 2015, 03:31 PM #1 Newbie   Joined: Sep 2015 From: Saudi Posts: 1 Thanks: 0 find all the lines secant to the four lines Can i get please, In R3 , find all the lines secant to the four lines x − 1 = y = 0 y − 1 = z = 0 z − 1 = x = 0 x = y = −6z
 September 19th, 2015, 06:53 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 What do you mean by "secant" to the four lines? A "secant" to a circle is any line that crosses through the circle and that can be extended to a general curve as "any line that crosses the curve". But what are you looking for here? Any line that crosses any one of the four given lines? Or any line that crosses the four sided figure bounded by those lines? And do you mean "R2"? In R3 those would be the equations of planes, not lines.

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