The crossing lines don’t part. The one meetingpoint is equally ultimate and ever present as the infinite distance. Together they are an eternal, infinitely great X.
What about non-parallel lines in a 3D space, they don’t have to meet at all, there’s a place where they are closest to meeting then they further and further apart, those must be the saddest lines of all
Skew lines are neither parallel nor do they intersect – and they may never know each other exist because the distance between them can be infinitely great…
Does it matter that parallel lines meet at infinity?
Hope!!
This is discriminatory. The second part is only true if they’re straight. What about bent lines?
I assume by “bent line” you mean “curve,” which is not, geometrically speaking, a line.
But all lines are curves. <_<
This is true. A line, by its definition, is a straight path. Ask any third grader in Indiana. :-)
Exactly: true connection and love comes when two lines can comprise a little and meet in the middle as uniform lines!
Being parellel lines means never drifting apart from one another.
What if the lines are on top of one another?
And think of the poor asymptotes!
Gee whiz, the minute I saw this I knew somebody would have to go and throw in the asymptotes. Are you trying to make me cry?
And that’s why Euclidean geometry is so heartbreaking.
I thought along these EXACT same lines. High five!
It is better to have met and parted than to have never met at all.
The crossing lines don’t part. The one meetingpoint is equally ultimate and ever present as the infinite distance. Together they are an eternal, infinitely great X.
I’m going to be a math teacher. This WILL be posted in my room. :-)
(Along with the flowchart you posted awhile back about discussion.)
What about non-parallel lines in a 3D space, they don’t have to meet at all, there’s a place where they are closest to meeting then they further and further apart, those must be the saddest lines of all
What about one line. When it finally meets how happy it must be!
Unless there is a kind of distant communication possible – via gravitation fields for instance.
Two lines with exactly the same coordinates would have an identity problem.
Parallel lines never desert or leave each other. They always stick together.
Skew lines are neither parallel nor do they intersect – and they may never know each other exist because the distance between them can be infinitely great…
I bet intersecting circles are pretty pleased.
But 3 intersecting spheres are just a slippery slope to all sorts of sketchiness…