The Metaphysical Consciousness

[doronshadmi]

Well, since algebra can be depicted with geometry, I suppose there might be an application of the Pythagorean theorem to the physics of levers, but it's news to me.

I use http://www.internationalskeptics.com/forums/showpost.php?p=10160051&postcount=393 in order to demonstrate the notion of stability AND instability within a given system, including the equivalency of levers to such system.

 

[Donn]

Very simple, instead to think about smaller or bigger right-angle triangles, please think about the fact the area on c remains unchanged during the changes of the complements areas on a and b.

Wut?

If a or b change, so does c.

 

[bruto]

Where moving is an expression of changing thing.

It is very simple, unless you try to give different meanings to moving, changing, unstable etc.

It certainly is simple. Moving means one thing, stable another.

 

[Slowvehicle]

Very simple.

Take for example the Pythagorean theorem: c² = a² + b²
c² is the constant where a² and b² are its complement variables (for example: large force over a small distance + small force over large distance).

Now take the lever's principle:

Force and distance are equivalent to the right side of the equation, where the fulcrum is equivalent to the left side of the equation.

No. A "fulcrum" is not a number, but a place.

The Pythagorean Theorem explains how to determine the length of the sides of a right triangle. It has nothing to do with levers. You keep trying to talk all science-y, and your'e very bad at it.

And we have drifted far from the woo! you were trying to sell...

 

[bruto]

Very simple.

Take for example the Pythagorean theorem: c² = a² + b²
c² is the constant where a² and b² are its complement variables (for example: large force over a small distance + small force over large distance).

Now take the lever's principle:

Force and distance are equivalent to the right side of the equation, where the fulcrum is equivalent to the left side of the equation.

Only in the Doronshadows of the universe does the movement of a lever satisfy the Pythagorean theorem. In the rest of the universe, the ends of a lever trace an arc, and if the path of the ends is ignored and only the starting and ending points of the movement are considered, the resulting triangle must (please consider this carefully) be equilateral.

 

[doronshadmi]

No. A "fulcrum" is not a number, but a place.

A fulcrum is the constant w.r.t force and distance complement variables.

 

[doronshadmi]

Only in the Doronshadows of the universe does the movement of a lever satisfy the Pythagorean theorem.

You are missing the use of the Pythagorean theorem.

A fulcrum is the constant w.r.t force and distance complement variables.

 

[Donn]

You are missing the use of the Pythagorean theorem.

A fulcrum is the constant w.r.t force and distance complement variables.

Less talk, more diagrams.

 

[doronshadmi]

Wut?

If a or b change, so does c.

You don't understand the Pythagorean theorem, which according to it the area on c is the sum of complement areas on a and b.

 

[doronshadmi]

It certainly is simple. Moving means one thing, stable another.

NOOO!!! Really??? What a profound insight!!

Once again it misses the difference between constant and variables in your http://www.internationalskeptics.com/forums/showpost.php?p=10161078&postcount=405 post, exactly because you are totally missing c² as constant area w.r.t complement a² and b² variable areas (more details are given also in http://www.internationalskeptics.com/forums/showpost.php?p=10160190&postcount=400).

I am sorry bruto, but you don't really use your abstraction abilities.

 

[doronshadmi]

The Pythagorean Theorem explains how to determine the length of the sides of a right triangle.

Wrong, it is about the areas on the sides of a right triangle, such that the area on c side is constant w.r.t the complement variable areas on a and b sides.

 

[bruto]

Wrong, it is about the areas on the sides of a right triangle, such that the area on c side is constant w.r.t the complement variable areas on a and b sides.

Indeed, the ratio is constant, though not, of course, the amount or any one part of it. It is a profound law in which the ratio of square roots is seen to be inherent in the definition of a right triangle.

It ought to be pointed out, though, that no single element of that famous equation need be considered more constant than the other. If any one is changed, the others must change as well, and the equation can be rewritten, for example, as A^2 = C^2-B^2. Side C is not a constant. The property of a right triangle's rightness is.

And anyway, levers do not describe right triangles. Geometry and trigonometry can be applied to the study of levers, but not the Pythagorean theorem, which is unique to right triangles.

 

[Slowvehicle]

A fulcrum is the constant w.r.t force and distance complement variables.

No. Just no. I mean, to be polite, "not even kinda". Just...no.

Unless you can provide a an actual physics-based source for this (such as, for instance, a textbook), you are simply taking through your "I hope this sounds science-y enough" hat.

(NB: Quoting yourself making the assertion in this, or any other, thread is NOT a "physics-based" source.)

The fulcrum is a place, not a number.

 

[Slowvehicle]

You don't understand the Pythagorean theorem, which according to it the area on c is the sum of complement areas on a and b.

Which is the method of determining the lengths of the sides. No forces involved.

 

[Slowvehicle]

Wrong, it is about the areas on the sides of a right triangle, such that the area on c side is constant w.r.t the complement variable areas on a and b sides.

Which is the method for determining the length of one side, given the other two. The Pythagorean Theorem is a special case of the Laws of Sines and Cosines. No forces involved.

 

[doronshadmi]

A^2 = C^2-B^2. Side C is not a constant.

Once again you are missing it, c is the hypotenuse of the right triangle so area c² remains unchanged during the changes of a² and b² complement areas.

By using the Pythagorean Theorem the constant area of c² represents the fulcrum and the complement changing a² and b² areas represent force and distance.

 

[doronshadmi]

The fulcrum is a place, not a number.

Given any lever's class, constant c² represents the fulcrum and the complement changing a² and b² represent force and distance.

 

[doronshadmi]

Which is the method of determining the lengths of the sides. No forces involved.

Constant and variables are involved, such that constant c² represents the fulcrum and the complement changing a² and b² represent force and distance.

So, whether you like it or not, force is involved.

 

[doronshadmi]

And anyway, levers do not describe right triangles. Geometry and trigonometry can be applied to the study of levers, but not the Pythagorean theorem, which is unique to right triangles.

Right triangles easily describe the law of lever, such that constant c² represents the fulcrum and the complement changing a² and b² represent force and distance.

Since you have abstraction difficulties to get it, I suggest you to put the constant c² area (represents the fulcrum) on a flat ground, and rotate above it the right triangles with their complement changing a² and b² areas (represent force and distance).

 

[Slowvehicle]

Given any lever's class, constant c² represents the fulcrum and the complement changing a² and b² represent force and distance.

Perhaps in your own, unique, idiosyncratic, metaphorical metaphysics.

Here in the real world, nor so much.