This Makes My Brain Hurt

caryc

Hawkeye
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Pythagorean Theorem
A*A+B*B=C*C

I watched a program on Pythagorus and his equation as above. To simplify it let’s just say…

A Squared plus B Squared equals C Squared. Of course we’re talking a right triangle here with three sides…A, B and C.

What I’m wondering about is how do you suppose the guy figured that one out. It’s such a simple equation but it works. You can do A plus B but it still doesn’t equal C. It only works with all the numbers squared as in,

Lets say you have a right triangle with one side being 3” and one side being 4”. Three squared is 9 and 4 squared is 16. Add them and you get 25. The square root of 25 is 5 which is the correct for side C of the triangle.

Again, I’m just wondering how someone can just sit and figure that one out. Please don’t get me started on Einstein’s equations. :shock: :shock: :shock:
 
just one of those things like "Pies are square"
I first though this was going be another one of those "order of operations" since there were no ()

this explains but I think it will make your head spin!
https://www.grc.nasa.gov/WWW/K-12/airplane/pythag.html
 
How pie works is the one that gets me.....

then again the way I understand the one above is the square root of the hypotenuse of a right triangle is equal to the square of the two other sides added together....
 
Draw a circle with a radius of 5". Draw another line from the center through the arc, at any angle. Drop another line from the intersection of the second line and the arc perpendicular to the first line. Now if the hypotenuse is 1, all other lines will be some fraction of the hypotenuse. These decimal figures are the tangent, sin, and cosin of the angle.
Knowing any two sides, or one side and the angle, everything you want to know about that triangle can be determined.

And, yeah, folks spend much of their time figuring out such things, and I'm mighty glad they did.

I spent much of my career figuring out such things as what the capacity of a grain bin is, and how much it weighs, and how long it will take to empty it through an opening of a given size. I'm sure not smart enough to have figured that out on my own.

Bob Wright
 
Them imaginary numbers will really screw with you.

√-1

imaginary number.
NOUN

a number that is expressed in terms of the square root of a negative number (usually the square root of −1, represented by i or j).

"when imaginary numbers are squared, they yield a negative result"

What are use imaginary numbers in the real world?

According to the university of Toronto, there are a variety of uses for imaginary numbers in the real world, most notably in the fields of electrical engineering and measuring natural phenomena.
 
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You know I learned all that math and chemistry and physics stuff long ago. Today I use them ever day. But I don't rely on what I learned. You see we have these things call computers. Computers run programs. The programs remember all this stuff and just give me the answer I need.

Now there is one problem with that. Every now and then I don't have a computer and I'll need to know, say the volume of a cylinder. Then I've got to dig way into the recesses of my brain and dig out the formula. Sometimes it works, sometimes it doesn't.

I like computers. They keep me from hurting my brain more than necessary.
 
When you do control-line flying that Pie R Square thing comes in handy to figure distance and speed. 7 laps on 60' control lines equals 1/2 mi or something like that. :D :D :D
 
Jimbo357mag said:
When you do control-line flying that Pie R Square thing comes in handy to figure distance and speed. 7 laps on 60' control lines equals 1/2 mi or something like that. :D :D :D

that would be Pie Dee
where Dee = two are

one lap = 2 X 60 X 3.14
one lap = 377'

seven laps = 377 X 7/5280
seven laps = 1/2 mile!

that Pie are square would let you know you could cut almost 2 acres!

I used A^2 + B^2 = C^2 just the other day to verify a square, battery clock works would fit into the round cutout of an old mantle clock case.
 
caryc said:
Pythagorean Theorem
A*A+B*B=C*C

I watched a program on Pythagorus and his equation as above. To simplify it let’s just say…

A Squared plus B Squared equals C Squared. Of course we’re talking a right triangle here with three sides…A, B and C.

What I’m wondering about is how do you suppose the guy figured that one out. It’s such a simple equation but it works. You can do A plus B but it still doesn’t equal C. It only works with all the numbers squared as in,

Lets say you have a right triangle with one side being 3” and one side being 4”. Three squared is 9 and 4 squared is 16. Add them and you get 25. The square root of 25 is 5 which is the correct for side C of the triangle.

Again, I’m just wondering how someone can just sit and figure that one out. Please don’t get me started on Einstein’s equations. :shock: :shock: :shock:
He was taught it by the Ancient Aliens. I seen it on the History Channel, so I know it's true.
 
Aaaaand another day has passed where I did not have to use any of this stuff. Onward towards tomorrow!
 
Okay, now let's figure side length of a triangle where you know one side and two angles. And once you've done that you get to use the most useless part of geometry, listing the theorems and corollaries that apply. I blew right through the math and formulas, but when they wanted us to write those I found it useless.

I tortured my geometry teacher by answering questions with theories we hadn't, supposedly learned yet. Then when he complained that we hadn't learned that I went back and listed everything from A+B=C forward. Yes, I was a pain in the butt when bored.
 
JFB said:
one lap = 2 X 60 X 3.14
one lap = 377'

seven laps = 377 X 7/5280
seven laps = 1/2 mile!
Yes, Pie x D = C ...at least I got that 1/2 mile part right. Some things you never forget. :D :D
 
Jeepnik said:
You know I learned all that math and chemistry and physics stuff long ago. Today I use them ever day. But I don't rely on what I learned. You see we have these things call computers. Computers run programs. The programs remember all this stuff and just give me the answer I need.

Now there is one problem with that. Every now and then I don't have a computer and I'll need to know, say the volume of a cylinder. Then I've got to dig way into the recesses of my brain and dig out the formula. Sometimes it works, sometimes it doesn't.

I like computers. They keep me from hurting my brain more than necessary.

Pick up a copy of a Glover Pocket Reference. You'll never need a computer again (except to post some bs on the web :wink: ). And when the SHTF and all the electrical stuff stops you'll be King.

https://www.amazon.com/Pocket-Ref-4th-Thomas-Glover/dp/1885071620/ref=sr_1_1?crid=14UP55JVT0CCY&keywords=glover+pocket+reference&qid=1567553469&s=gateway&sprefix=glover+pock%2Caps%2C249&sr=8-1
 
GunnyGene said:
..
Pick up a copy of a Glover Pocket Reference. You'll never need a computer again (except to post some bs on the web :wink: ). And when the SHTF you'll be King.

Gosh, I need to see if I can find mine. Actually I should have a box of them stashed somewhere. I glued buisness cards to the inside cover and passed them out.
 
It is simpler when you realize it’s about 3 squares not a triangle. Each side of the triangle is one side of a square. The sum of the areas of the two small squares equal the area of the largest square.

What always amazed me is the area of a triangle is half the base times the height. Doesn’t matter what kind of triangle doesn’t matter what side you choose to make the base. It always works.
 
You all missed the most useful part. When you are laying out any sort of building site, you use measurements of 3, 4, and 5 to get your exact right angles.
 
GunnyGene said:
Jeepnik said:
You know I learned all that math and chemistry and physics stuff long ago. Today I use them ever day. But I don't rely on what I learned. You see we have these things call computers. Computers run programs. The programs remember all this stuff and just give me the answer I need.

Now there is one problem with that. Every now and then I don't have a computer and I'll need to know, say the volume of a cylinder. Then I've got to dig way into the recesses of my brain and dig out the formula. Sometimes it works, sometimes it doesn't.

I like computers. They keep me from hurting my brain more than necessary.

Pick up a copy of a Glover Pocket Reference. You'll never need a computer again (except to post some bs on the web :wink: ). And when the SHTF and all the electrical stuff stops you'll be King.

https://www.amazon.com/Pocket-Ref-4th-Thomas-Glover/dp/1885071620/ref=sr_1_1?crid=14UP55JVT0CCY&keywords=glover+pocket+reference&qid=1567553469&s=gateway&sprefix=glover+pock%2Caps%2C249&sr=8-1

Had one for decades. Now the print is too small to read.
 
Bull Barrel said:
Hmm how does one get C from A+B?
Seems to me you get AB.

A+B will always equal another number, whether one calls it C, X, or any other letter. A+B will never equal A nor B, without A or B being 0, so it must be some other letter. And C-B must always equal A.

I have told my young friends to always seek math courses, as math is the key to logical thinking.

Bob Wright
 
Bob Wright said:
Bull Barrel said:
Hmm how does one get C from A+B?
Seems to me you get AB.

A+B will always equal another number, whether one calls it C, X, or any other letter. A+B will never equal A nor B, without A or B being 0, so it must be some other letter. And C-B must always equal A.

I have told my young friends to always seek math courses, as math is the key to logical thinking.

Bob Wright

I think somebody is gettin' their rithmatic mixed up with their spelling. :? :? :?
 
I used practical tricks whenever I could instead of the actual equations. For instance when building furniture like an 8 sided table I would find the center by snapping two diagonal chalk lines. Then measure with said chalk line to one of the flat sides then transfer that measurement back to the diagonals. Then lay a square along that diagonal at the mark and draw a pencil line across the corner. Flip the square and repeat. Voila a perfect 8 sided table. I'm sure some mathmatician could work out how long each side measured. It doesn't matter! My dad would help and say how long are the legs? I'd say, they are all as long as the 1st one I cut. One day I caught him with a tape lying out dowel spacing every 6 inches on a table top made of 4 boards. I took the pencil away and labeled the boards abc and d. Then I put a mark between all the boards approximately every six inches. Real fast and sloppy, no measuring. Math can solve anything but it's definitely not the fastest way sometimes.
 
protoolman said:
I used practical tricks whenever I could instead of the actual equations. For instance when building furniture like an 8 sided table I would find the center by snapping two diagonal chalk lines. Then measure with said chalk line to one of the flat sides then transfer that measurement back to the diagonals. Then lay a square along that diagonal at the mark and draw a pencil line across the corner. Flip the square and repeat. Voila a perfect 8 sided table. I'm sure some mathmatician could work out how long each side measured. It doesn't matter! My dad would help and say how long are the legs? I'd say, they are all as long as the 1st one I cut. One day I caught him with a tape lying out dowel spacing every 6 inches on a table top made of 4 boards. I took the pencil away and labeled the boards abc and d. Then I put a mark between all the boards approximately every six inches. Real fast and sloppy, no measuring. Math can solve anything but it's definitely not the fastest way sometimes.

Had an uncle who did everything from framing to furniture making. The guy was a master with any sort of wood. People talked about how hard it was to make the above eight sided table. He'd just ask them if they every made a round one. Back then you couldn't cut a truly round table. You got it close and then finished it by hand. And, you'll never beat a truly hand rubbed finish.

I wish I only had a tenth of his talent and skill.

Maybe today they have fancy computer controlled saws that will make a perfect circle, but they'd cost a fortune. And I'm sure furniture manufacturer's have giant lathes that can turn a say 6' round table. But custom guys don't usually have those types of thing sitting around.
 
You guys are killin' me.

My dad has a mind like Rain Man. Worked for the US Navy as an engineer for 40 years when slide rules were "cheating" and pocket calculators were $100.00.

Unfortunately, I got none of his mathematical ability. I can do some equations I remember on paper, but not in my mind at all.

Aqualung, who has to count on his fingers to play Blackjack...
 
Jeepnik said:
Maybe today they have fancy computer controlled saws that will make a perfect circle, but they'd cost a fortune. And I'm sure furniture manufacturer's have giant lathes that can turn a say 6' round table. But custom guys don't usually have those types of thing sitting around.

I just cut a perfect arc out of 1" oak for a window. 139" radius. Only used a wood frame and a router (planned on using a skilsaw, but the router made a cleaner cut)
 
SAJohn said:
You all missed the most useful part. When you are laying out any sort of building site, you use measurements of 3, 4, and 5 to get your exact right angles.

Yes Sir, I believe it was another Greek guy named Euclid who figured that one out. I once found myself on a rooftop assembling & fastening down a curb for an air handling unit to sit on. I had enough to measure from to erect a line on one end but that was about it. Using a 3,4,5 or I should say 30, 40, 50 triangle was how I was able to get my centerline to lay out the curb. The air handler was about 50 feet wide & 90 feet long when assembled. A crane and a crew of about 10 or 12 men were utilized to get the sections sat in place & bolted together. It took 3 10 hour days to do it. I needed to know that I knew I was right. You don't want to be the one that screws something like that up.
 
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