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Perfect Equations

Posted: Sat Nov 15, 2025 1:38 am
by Phil8659
A perfect equation is one in which contains only what is given and is always true.

For example.

Let us say you want the equation for the height and medial bisector of any triangle given only the three sides.
Now, if you can do that, you can also say what the area of any triangle is given only the sides.

Let us call each side, A, B, and C, where A is your chosen base.

The height we will call D, and the medial bisector, E.

D = Square root of ((A + B + C) X (A + B - C) X (A - B + C) X (B - A + C)) /(2 x sq rt of A squared)
E = Square root of ( 2 x b squared - a squared + 2 X c squared) / 2.

Now, if you draw it in a drawing program that you can also write the equation as given, you find you can move the points any where, and the equations are always right.

That is how you do a write up, the end results can only contain the givens. There is no, Einstein fudging by putting in a constant which gets you close.
Traditional teaching about the area of a triangle gives you base and height, you will not find the equation I came up with in any textbook I know of. but, you can see how it is derived in The Delian Quest.

When you have a perfect equation, what you see, the figure, what is said arithmetically and algebraically, you have said exactly the same thing in all four members of our Grammar Matrix.

Re: Perfect Equations

Posted: Sat Nov 15, 2025 2:09 am
by Phil8659
Now you can write the equations finding the radius of the circle circumscribing any triangle.

From that you can demonstrate that the sine of any side of a triangle is expressed as any side divided by twice the radius or simply the diameter of the circle.

Once you demo that, you can rewrite so called trig books showing how easy any problem is without all the obfuscation and bull shit, in those books.

And it helps that I can write the results not only in algebra, but all the algebra expressed in the mathematical system of geometry, I dubbed, Jacob's Ladder. i.e., a standard method of drawing any equation.

and like every true genius, I taught myself, or so it is intimated in the first couple episodes of The Simpsons.

Re: Perfect Equations

Posted: Sat Nov 15, 2025 2:40 am
by Phil8659
It has been common in science, for a long time, to claim that measurements are done using specific coordinate systems of reference.
What I have demonstrated in my work, all correct information processing relies solely upon the unit using binary recursion. i.e., there is no so-called Cartesian Geometry, which is an oxymoron, nor Trig, nor Calculus, as your own computer demonstrates, there is only one system of reference, the unit.

When you hold and say, that a perfect equation is solely expressed in terms of the givens, you have only made a mathematical statement equal to the foundation of Common Grammar expressed in the convention of names,
What may be predicated of anything, is wholly determined by the definition of that thing. Holding on to this foundation, you can learn all truth.

Thus, what I demonstrate in my work, is the illiteracy of current mathematicians today, which have no such standard.

It is not easy being around people who are always pulling shit out of their own ass.

Re: Perfect Equations

Posted: Sat Nov 15, 2025 7:43 am
by Fairy
Self Bound By Syntax.

Re: Perfect Equations

Posted: Sat Nov 15, 2025 5:18 pm
by Phil8659
Fairy wrote: Sat Nov 15, 2025 7:43 am Self Bound By Syntax.
Also known as a closed system.

Every system of grammar, simply produces another name in that grammar. Or again, binary recursion can only produce a binary result. Argued by Aristotle as no third man.