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This topic has moved here: Subject: Let's learn how to find the area of a rectangle!
  • Subject: Let's learn how to find the area of a rectangle!
Subject: Let's learn how to find the area of a rectangle!
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Never been afraid to say what's on my mind at any given time a day.

All I have to say is, yes.

  • 12.10.2010 12:25 PM PDT

"The individual has always had to struggle to keep from being overwhelmed by the tribe. If you try it, you will be lonely often, and sometimes frightened. But no price is too high to pay for the privilege of owning yourself."
-Nietzsche

Posted by: Warlord AIpha
Posted by: BSS Lazer
It doesn't need proved. Everyone over the age of 10 knows this.


Yes, and you want to know why? It's because somebody like Disambiguation, a long time ago, did that exact same math and found what Disambiguation proved - that L x W is the area.

Were it not for that proof we would not know that.
Actually the first proof of it didn't use this method. However, the process gives us a quick and convenient way to find area formulas for a variety of geometric objects.

  • 12.10.2010 12:26 PM PDT

"Give me a place to stand, and I will move the Earth."
-Archimedes

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Posted by: Soviet Revival
the only thing philosophical about this thread is mister math.


Posted by: Disambiguation
Posted by: Mister Math
But Mr. D, what if the rectangle is no longer a rectangle, but has curved sides?
You simply integrate over square root of the determinant of the matrix of scalar products of partial derivatives. Of course, you need an orthogonal parametrization of the boundary first. If you don't have one then this method doesn't work.
I love how you put the word ''simply'' before all that.

  • 12.10.2010 12:26 PM PDT

"The individual has always had to struggle to keep from being overwhelmed by the tribe. If you try it, you will be lonely often, and sometimes frightened. But no price is too high to pay for the privilege of owning yourself."
-Nietzsche

Posted by: Mister Math

Posted by: Disambiguation
Posted by: Mister Math
But Mr. D, what if the rectangle is no longer a rectangle, but has curved sides?
You simply integrate over square root of the determinant of the matrix of scalar products of partial derivatives. Of course, you need an orthogonal parametrization of the boundary first. If you don't have one then this method doesn't work.
I love how you put the word ''simply'' before all that.
I had fun in math class today :) And actually it isn't difficult at all, though it does sound intimidating.

  • 12.10.2010 12:27 PM PDT
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Ive had multiple B.net accounts dating to many years before this. Made a new one because my other accounts email got hacked.

Yep.

  • 12.10.2010 12:29 PM PDT

"Give me a place to stand, and I will move the Earth."
-Archimedes

Half-Life Universe
Secular Sevens
Posted by: Soviet Revival
the only thing philosophical about this thread is mister math.


Posted by: SIMAN166
Don't over complicate things.
Despite all the big words, the OP is actually pretty to understand. You just have to know what the words mean.

  • 12.10.2010 12:33 PM PDT

"The individual has always had to struggle to keep from being overwhelmed by the tribe. If you try it, you will be lonely often, and sometimes frightened. But no price is too high to pay for the privilege of owning yourself."
-Nietzsche

Posted by: SIMAN166
Don't over complicate things.
By proving this, now we're allowed to use the formula instead of vector geometry. If you haven't proven it or know that it's been proven, you shouldn't use it. Taking someone's word for it isn't good enough, I'm afraid.

Complicated geometry -> Simple formula

  • 12.10.2010 12:34 PM PDT

Rarity FTW


Posted by: SIMAN166
One question. Is mayonnaise an instrument?


No. Neither is horseradish.

Virtual cookie for Patrick reference.

  • 12.10.2010 12:34 PM PDT

Mind...blown.

Also, width x height.

  • 12.10.2010 12:36 PM PDT

"Give me a place to stand, and I will move the Earth."
-Archimedes

Half-Life Universe
Secular Sevens
Posted by: Soviet Revival
the only thing philosophical about this thread is mister math.


Posted by: Disambiguation
Taking someone's word for it isn't good enough, I'm afraid.
Sure it is, the janitor at my school said that the Riemann Hypothesis is true.

  • 12.10.2010 12:37 PM PDT

"The individual has always had to struggle to keep from being overwhelmed by the tribe. If you try it, you will be lonely often, and sometimes frightened. But no price is too high to pay for the privilege of owning yourself."
-Nietzsche

Also if you forget a geometry formula on an exam or something you can just figure it out right there without wasting too much time.

  • 12.10.2010 12:37 PM PDT

I may be an idiot but what am I?

...You and your big words.

  • 12.10.2010 12:40 PM PDT

"The individual has always had to struggle to keep from being overwhelmed by the tribe. If you try it, you will be lonely often, and sometimes frightened. But no price is too high to pay for the privilege of owning yourself."
-Nietzsche

Posted by: vindaloo 04
...You and your big words.
Orthogonal just means perpendicular.

  • 12.10.2010 12:42 PM PDT

The goal of life is to make your heartbeat match the beat of the universe, to match your nature with Nature.

~Joseph Campbell

"Orthogonal parametization..."

Me: o_O

  • 12.10.2010 12:42 PM PDT
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A wise man once said...

"Don't worry about it."

Posted by: Ichigo117x
my blood hurts.
<3h*r

  • 12.10.2010 12:42 PM PDT

"The individual has always had to struggle to keep from being overwhelmed by the tribe. If you try it, you will be lonely often, and sometimes frightened. But no price is too high to pay for the privilege of owning yourself."
-Nietzsche

Posted by: Trace007
"Orthogonal parametization..."

Me: o_O
It means the vectors used to parametrize the object are orthogonal (perpendicular) to each other. There are various checks from linear algebra to verify this.

  • 12.10.2010 12:48 PM PDT

No signature found. Click here to change this.


Posted by: Mister Math

Posted by: Disambiguation
Taking someone's word for it isn't good enough, I'm afraid.
Sure it is, the janitor at my school said that the Riemann Hypothesis is true.
i lol'd

  • 12.10.2010 12:50 PM PDT
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They call me graland.

Posted by: Disambiguation
Complicated geometry -> Simple formula

But it's already been proven and accepted as true; why would any of us need to prove it again? If I'm taking a test or doing a simple calculation, I don't need to prove it; there's no need to use a large and complex equation when you can simply multiply width times length.
Posted by: Disambiguation
Posted by: vindaloo 04
...You and your big words.
Orthogonal just means perpendicular.

Why not just say perpendicular then?

  • 12.10.2010 12:53 PM PDT

"Give me a place to stand, and I will move the Earth."
-Archimedes

Half-Life Universe
Secular Sevens
Posted by: Soviet Revival
the only thing philosophical about this thread is mister math.


Posted by: Garland
Why not just say perpendicular then?
''Orthogonal'' is more commonly used in vector geometry/calculus.

  • 12.10.2010 12:54 PM PDT

"The individual has always had to struggle to keep from being overwhelmed by the tribe. If you try it, you will be lonely often, and sometimes frightened. But no price is too high to pay for the privilege of owning yourself."
-Nietzsche

Posted by: Garland
But it's already been proven and accepted as true; why would any of us need to prove it again? If I'm taking a test or doing a simple calculation, I don't need to prove it; there's no need to use a large and complex equation when you can simply multiply width times length.
I'd wager most people have never seen a proof of this and simply accept it because some elementary school teacher said so.
Posted by: Garland
Why not just say perpendicular then?
It's more common practice to use the term "orthogonal" or "normal."

  • 12.10.2010 12:57 PM PDT
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"Both optimists and pessimists contribute to our society. The optimist invents the airplane and the pessimist the parachute. " ~Gil Stern

"The difference between stupidity and genius is that genius has its limits." ~Albert Einstein

"What did I just drink?"~Socrates

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Posted by: BSS Lazer

Posted by: Disambiguation
Posted by: DaGingaNinja
A=L*H

/thread
Prove it.

It doesn't need proved. Everyone over the age of 10 knows this.


lol what a terrible way to go about a math or science course.

I forgot when I learned about this proof, but I remember it.

  • 12.10.2010 1:00 PM PDT
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  • Fabled Legendary Member

They call me graland.

Posted by: Disambiguation
I'd wager most people have never seen a proof of this and simply accept it because some elementary school teacher said so.

That's true. But whether they know about it or not, it's still been proven.
Posted by: Disambiguation
It's more common practice to use the term "orthogonal" or "normal."

I honestly didn't know that. I'm in college and all of my courses so far use the term perpendicular.

  • 12.10.2010 1:01 PM PDT
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"Both optimists and pessimists contribute to our society. The optimist invents the airplane and the pessimist the parachute. " ~Gil Stern

"The difference between stupidity and genius is that genius has its limits." ~Albert Einstein

"What did I just drink?"~Socrates

Buyer's Guide: Headphones|Google Chrome Themes|Arena Spreadsheet

Posted by: Disambiguation
Posted by: Garland
But it's already been proven and accepted as true; why would any of us need to prove it again? If I'm taking a test or doing a simple calculation, I don't need to prove it; there's no need to use a large and complex equation when you can simply multiply width times length.
I'd wager most people have never seen a proof of this and simply accept it because some elementary school teacher said so.


Also practicing deriving formulas can be helpful in higher end classes. Sometimes you forget the formulas but you can derive them from much simpler things. i.e.-kinematics equations.

  • 12.10.2010 1:01 PM PDT

Numba one Italian on da flud.


Posted by: Draycon2
2+2=5

Or something


This...lol

  • 12.10.2010 1:02 PM PDT