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/sci/ - Science & Math


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1909311 No.1909311 [Reply] [Original]

If you really are so smart, then give me a generic definition of two parallel lines.

>> No.1909319

never ending lines that never intersect, both in the same plane

that's how i explained it to my little brother

>> No.1909325

>>1909319
I'm pretty sure lines are infinite by definition, so you can cut out that first part.

>> No.1909331

>>1909319
Two lines are always on the same plane.

>> No.1909332

Parallel lines are lines where the intersection of their sets of points is the null set.

>> No.1909335
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1909335

>>1909331

>> No.1909339

Lines on a 2D plane that will never touch

>> No.1909341

>>1909332

I forgot that they needed to be coplanar. So, also include that all the points in the set of one line can be shifted to the set of points of the other line by addition of a constant.

>> No.1909342

>>1909332
Also wrong. You're stuck thinking in two dimensional space.

>> No.1909349

>>1909311
lines whose cross product is zero.

>> No.1909350
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1909350

>>1909335

>> No.1909369
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1909369

>>1909350

>> No.1909383

Two or more lines that will never touch even at lengths approaching infinity.

Captcha: Tellit simple

>> No.1909399

>>1909349
>>1909332
>>1909383
Really, /sci/? REALLY? Is this all you got?

Here's a simple "experiment," try positioning your two index fingers so they cross. Now move one finger above the other, still having them cross. Would the lines formed by extending your fingers ever touch? No. Are they parallel? No.

>> No.1909413

>>1909399
The fuck are you talking about?

>> No.1909422

what about non-euclidean space?

>> No.1909424

two distinct coplanar lines with the same slope

>> No.1909432

2 lines with the same direction that will therefore be in a plane and cross in the point of infinity

>> No.1909439

That is called skew lines. All he needs to do is say on the same plane.

>> No.1909445

ITT: OP thinks hes clever by having people post definitions technically aren't correct because they wouldn't hold in non-euclidean space. Basically, an enormous, cock-sucking, dick-licking, engineer-loving faggot

>> No.1909451

Good dolan you are learning

>> No.1909461

Only faggots work in non euclidean spaces. Geodesicsfags are excused though.

'If cant draw it I dont understand it' - A. Einstein

Euclidean riemann variety is best variety

>> No.1909512

>>1909335
Two lines whose entirety of points lay on the same plane and wherein no two points are shared by the two lines.