Weekly Math Thing?

The Lord Slide Rule | Legendary Invincible!
 
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I've been considering doing a weekly math post where I a present an exercise and have you guys give a solution. I'm fully aware that  there's maybe a handful of people that will even give this post a cursory glance, much less attempt to provide a solution. :P
 Why, you ask, because I'm a miserable shit with nothing better to do. That and I figure the fact that I'll have to know the answer myself will keep me sharp.

Ready? We'll start with something basic this week, geometry.

Assuming Euclidean geometry, meaning Euclid's fifth postulate(along with the other 4)holds. Euclid's fifth postulate(also known as the parallel postulate)being
Quote
Given two straight lines A and B and a line segment C that intersects both of them forming two interior angles on one side that together are less than 2 right angles (180°/pi) then the lines A and B must eventually meet on that same side and therefor are not parallel.

Show that Playfair's axiom follows.
Quote
Given a straight line L and any point P not on L there is a single, unique line through P that is parallel to L.



I'll do another next week provided I get at least 3 attempts or a correct solution. You guys have until next week to provide a solution.
Last Edit: December 08, 2014, 03:21:25 PM by SexyPiranha


 
 
Mr. Psychologist
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<.<
Welp, I gave it a read and remembered why I didn't enjoy Maths.

It's all moonrunes to me.


The Lord Slide Rule | Legendary Invincible!
 
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Welp, I gave it a read and remembered why I didn't enjoy Maths.

It's all moonrunes to me.
Math is necessarily pedantic which means questions like this are gonna be wordy and awkward reading, despite not being necessarily difficult.

It's all good m9.


 
 
Mr. Psychologist
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<.<
Welp, I gave it a read and remembered why I didn't enjoy Maths.

It's all moonrunes to me.
Math is necessarily pedantic which means questions like this are gonna be wordy and awkward reading, despite not being necessarily difficult.

It's all good m9.
Heh yeaaah >.>
I've just never really been great at maths when it goes beyond the stuff you need in day to day life (Statistics are an exception). Just all the theoreticals and proofs and algebra... it's... moonrunes to me <.<

I work better with the meatbags humans and other living things >.>


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My stupidity is self evident.
Welp, I gave it a read and remembered why I didn't enjoy Maths.

It's all moonrunes to me.
Math is necessarily pedantic which means questions like this are gonna be wordy and awkward reading, despite not being necessarily difficult.

It's all good m9.
Heh yeaaah >.>
I've just never really been great at maths when it goes beyond the stuff you need in day to day life (Statistics are an exception). Just all the theoreticals and proofs and algebra... it's... moonrunes to me <.<

I work better with the meatbags humans and other living things >.>
proofs still do that to me. I'm not great at them by any means. I figure something like this where I have to learn them myself in order to tell who got it right is the best thing I can do.


 
 
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<.<
Welp, I gave it a read and remembered why I didn't enjoy Maths.

It's all moonrunes to me.
Math is necessarily pedantic which means questions like this are gonna be wordy and awkward reading, despite not being necessarily difficult.

It's all good m9.
Heh yeaaah >.>
I've just never really been great at maths when it goes beyond the stuff you need in day to day life (Statistics are an exception). Just all the theoreticals and proofs and algebra... it's... moonrunes to me <.<

I work better with the meatbags humans and other living things >.>
proofs still do that to me. I'm not great at them by any means. I figure something like this where I have to learn them myself in order to tell who got it right is the best thing I can do.
It's pretty much all beyond me >_>

Well... perhaps not but it wasn't ever my strong point and I always focused on other subjects that I enjoyed a bit more <.< But this is a good way of figuring it out for yourself, by explaining it to others >.>


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MFW proofs



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MFW proofs


They won't all be stuff like this. I just figured I'd do one because proofs are a weak point for me too.


Oh | Elite Four Invincible!
 
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I certainly would be in interested in more of these, but geometry is a weak point. We've barely looked over it in my courses. We discussed the fifth postulate last week, but not much else.


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I certainly would be in interested in more of these, but geometry is a weak point. We've barely looked over it in my courses. We discussed the fifth postulate last week, but not much else.
if no one's able to give a solution by next Monday I'll post the answer before I do post the next exercise.

In case anyone wants to know I am pulling these exercises from some math and physics books I have lying around.


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ayy lmao
Does the answer involve making a line perpendicular to l through p?


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Does the answer involve making a line perpendicular to l through p?
perhaps

Put your answer in a spoiler pls.


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ayy lmao
Does the answer involve making a line perpendicular to l through p?
perhaps
oh duck you


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Spoiler
I drew a picture but it won't upload to imgur for some reason.

Draw a line L and a point P away from that line. Draw a line C through P perpendicular to L. Draw another line A perpendicular to C through P. Euclid's Fifth Postulate states that angles in a triangle add to 180 (2 right angles, which we have). The lines L and A are parallel, so they will not meet to form a triangle. Any other line drawn through P would form a triangle, but no other parallels exist.

Probably haven't explained well. I'm tired.
Last Edit: December 08, 2014, 04:09:56 PM by Fedorekd


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My stupidity is self evident.
I drew a picture but it won't upload to imgur for some reason.

Spoiler
Draw a line L and a point P away from that line. Draw a line C through P perpendicular to L. Draw another line A perpendicular to C through P. Euclid's Fifth Postulate states that angles in a triangle add to 180 (2 right angles, which we have). The lines L and A are parallel, so they will not meet to form a triangle. Any other line drawn through P would form a triangle, but no other parallels exist.

Probably haven't explained well. I'm tired.
That's correct. Stick it in a spoiler pls in case someone else wants to give it a shot. . .lol who am I kidding?


big dog | Mythic Inconceivable!
 
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I love you, son.
I drew a picture but it won't upload to imgur for some reason.

Spoiler
Draw a line L and a point P away from that line. Draw a line C through P perpendicular to L. Draw another line A perpendicular to C through P. Euclid's Fifth Postulate states that angles in a triangle add to 180 (2 right angles, which we have). The lines L and A are parallel, so they will not meet to form a triangle. Any other line drawn through P would form a triangle, but no other parallels exist.

Probably haven't explained well. I'm tired.
That's correct. Stick it in a spoiler pls in case someone else wants to give it a shot. . .lol who am I kidding?
Done.


The Lord Slide Rule | Legendary Invincible!
 
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My stupidity is self evident.
I drew a picture but it won't upload to imgur for some reason.

Spoiler
Draw a line L and a point P away from that line. Draw a line C through P perpendicular to L. Draw another line A perpendicular to C through P. Euclid's Fifth Postulate states that angles in a triangle add to 180 (2 right angles, which we have). The lines L and A are parallel, so they will not meet to form a triangle. Any other line drawn through P would form a triangle, but no other parallels exist.

Probably haven't explained well. I'm tired.
That's correct. Stick it in a spoiler pls in case someone else wants to give it a shot. . .lol who am I kidding?
Done.
thnxbby


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ayy lmao
I drew a picture but it won't upload to imgur for some reason.

Spoiler
Draw a line L and a point P away from that line. Draw a line C through P perpendicular to L. Draw another line A perpendicular to C through P. Euclid's Fifth Postulate states that angles in a triangle add to 180 (2 right angles, which we have). The lines L and A are parallel, so they will not meet to form a triangle. Any other line drawn through P would form a triangle, but no other parallels exist.

Probably haven't explained well. I'm tired.
That's correct. Stick it in a spoiler pls in case someone else wants to give it a shot. . .lol who am I kidding?
well shit i was on the right track


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Does the answer involve making a line perpendicular to l through p?
perhaps
oh duck you

Spoiler
you're on the right track


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I love you, son.
its all about eugene's prostates, guys.


Oh | Elite Four Invincible!
 
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Is that it?

Spoiler
I had a similar thing were you would have to make a triangle with the lines C, L and P, such that 90+90+x=180, where x is the angle between the lines L and P, and x>0. Obviously, that doesn't exist, hence parallel.
I thought it would be much worse than that.
Last Edit: December 08, 2014, 04:23:02 PM by Simseo


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Is that it?

Spoiler
I had a similar thing were you would have to make a triangle such that all the 90+90+x=180, where x is the angle between the lines L and P, and x>0. Obviously, that doesn't exist, hence parallel.
I thought it would be much worse than that.
Spoiler
close, you got the last bit, start from line L w/ point P adjacent to it, draw a perpendicular line through P to L, then draw another line through P perpendicular to the one perpendicular to L

what conclusions can you make?
Last Edit: December 08, 2014, 04:31:54 PM by SexyPiranha


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My stupidity is self evident.
I'm totally willing to take suggestions for what next weeks exercise should be over, provided I can find/come up w/ a suitable exercise.


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This is pathetic, Cheat
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My stupidity is self evident.
These questions are so oddly simple and complicated at the same time.
It's even worse when you figure out the answer.