Perimeter of an Ellipse?

([4{radius a + radius b}]*π/4)=p

([2 radius a + 2 radius b]*π/4)=p

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Prior Work to Solution

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Section I

We all have to be wrong, before we get it right. Just today, I was working on a means of calculating an Ellipses' perimeter. You’d think, “That’s easy. Shouldn’t the hard part be the area?” No.

But, I looked at a rectangle, to see if it worked the same as a square (See Section II), and worked every possible angle—and had a specific measurement where it worked, and then a second measurement where it worked, but not a third—so I thought I had found a formula. But, I didn’t, so I rescinded it.

Now I have a second idea, but I have to look at the circle area and perimeter formula to find a relation there. I don’t know… actually. But what I’m chasing right now, Pi is the universal measurement of a curve where the curve is equal… and the area is always equal to the curve it’s just exponentiated—that’s a principle in calculus. So, if I can find a way to reverse the area down to the perimeter—which may just need calculus, so that I can’t do, and we may already be doing it—but if I can find a way to do that linearly or quadratically, I’ll have a simpler formula.

See the problem with this, actually, lies in a relation that actually the number e describes. So, it may just require calculus to solve, actually, on all fronts. Because when dealing with linear and exponential functions, there’s a point of “Equilibrium” which is what “e” is, that number, and that basically describes the point where the area and perimeter are equal. Which is a diameter of 4 on a square and circle. Which gives me a third idea, to chase, is possibly finding the point of equilibrium on a rectangle. But I have to work through the second, as I’ve already proven the first false. Which that should be any x*y=16 function, but again, that’s probably how they get the area formula, and that’s kind of why it’s easier than the perimeter. Well, actually, maybe not… because it’d also have to be x+y=16. So you’d need both systems, which adds another variable as to why this might be so difficult.
I’m just a philosopher, and very curious. That’s all.

Neifert, B. K.. "How do you correct your incorrections at the end of the day after reflecting and knowing you were wrong?" Answer B. K. Neifert. Quora.com. Web. 6.6.2025

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Section II

I had just understood, that the area of a circle formula is like Length times Width. But, hold on... a Radius is not the same thing as length. So, you do the same math expression for a rectangle, it will not work, but you do it for a square, it will. Because half the parameter of a square times its radius would equal the area. So this math works for a square, because it is equal, the same that it works for a circle, because it is equal. However, said area formula will not work for a rectangle. Because a rectangle's side lengths are not equal.

Neifert, B. K.. Another Reason P Cannot Equal NP. WordPress.com. Web. Access Date 6.6.2025

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Section III

I also had a brief thought to use Polynomials, but then started looking at my axiom here in the Squares to Circles (See Section IV) and started exploring if there was a way to generalize a formula from the area of a circle to its perimeter---as such would work, the curve always has a relation to the area. And if the area of an ellipse was related to the two radii, then so must the circumference. So then I started looking at the Area and Perimeter of a Rectangle's relation to its area, and intuited the equation from that, while combining it with my principle of Squares to Circles.

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Section IV

Section V:

Upon further evaluation, even with the revised formula, a perimeter of an ellipse cannot be solved, except using calculus, because the curve is not always equal to pi. I tested it on two known ellipses, and did not get a consistent result.

The Open Society

Student: Has no knowledge of his subject. Thus, must learn from those with more knowledge.

In a sense, we all are students, but the student is given the mark of having no knowledge. We all begin as students in every field we learn. And we must be humble at it, and learn from instructors.

Instructor: Has knowledge of at least one subject, and can give instruction on that subject.

If seven or more Instructors have agreed, they have the bestowal of gifting a student with the title of "Instructor." And only in that one area of instruction. Yet, the Instructor knows to gain knowledge from his students, as much as instruct them

Meistro: Has expert knowledge on at least one subject, and can innovate it.

If two or more Meistros have agreed, or fourteen or more Instructors, they have the bestowal of gifting an Instructor with the title of "Meistro." And only in that one area of which they are a Meistro. Yet, the Meistro will learn from a student, and does not lord his mastery over any.

The Prodigy: Has expert knowledge on at least seven subjects, and can innovate in all of them.

The Prodigy is given his calling by fourteen Meistros, and fourteen Instructors, two in each field who check his field, that he has true knowledge of his craft. And if fourteen Meistros and fourteen Instructors see he has mastered at least seven subjects, he is a Prodigy. But, the Prodigy will learn even from a student the thing he is most experienced at.

The Sage: Has expert knowledge beyond the Prodigy.

If two Prodigies agree upon the expertise of one Prodigy, that he is gifted in at least four of their shared subjects, and two Meistros agree in each of that Prodigy's subjects, and seven Instructors in each of their subjects, then he is a Sage.

The Compulsory Instructor Credit - An Instructor can become an Instructor, by demonstrating they have taught a subject they know thoroughly, and instilled in their student a correct understanding. That correct understanding must be validated and checked against good sources of knowledge, that the student then understands their subject.

The Prodigy Devaluation: A Prodigy is only a Meistro at his subjects, and is only counted as a Meistro, as well as a Sage is only counted as a a Meistro for his subjects.

The Political Devaluation: There are No Rabbis. Thus, the teaching is led through the gates of free learning, and nothing more, and only right understanding pushes the person's accreditation, and this only for free learning, and nothing practical. To be called a Dr. and also a Meistro shows to the patient that they are well learned, not that the Mastership qualifies them to be a Dr.. For the institutions of man work separately from the institutions of this Free and Open Society.

The weights:

A Student who has learned their subject well, can bestow the gift of Instructor on their Teacher; but the student must be validated by at least three other Instructors to have learned it well. Or validated by fifty Students learning their subject.

Seven Instructors are equal to one Meistro.

The Greeting: Two in this society shall greet, and say, "I am a student", no matter their level be it Prodigy or Sage even. And the one being greeted will say, "I am a student, too." And they shall each tell what they are students of. And if an Instructor, they shall teach the student, and if a student, they shall share what they know with the Instructor. For one can become Instructor by teaching, but not Meistro.

The Parable of the Sage

There was once a sage
Who had wisdom and knowledge;
He saw this litmus
And he said, "I am still just
"A student, I now realize."

The Sage and the False Professor

There was a sage, who
Elite in every subject
Was told by a false
Professor, who said, "I am
"A Prodigy. I arrived."

The Sage replied, "Let
"No man call themselves Meistro
"Or Instructor. I'm
"But a student, and shall, thus, always be."

Words to Aristotle

You sound like me when I stood at the foot of Jesus, and He was preaching Paul. (Bear with me here, it was a dream). I ran around with my fingers in my ear, resisting Him, but He told me it was the sweetest part of the faith. And I also used to get mad at the Law, which Mary (Bear with me here, this is another dream) told me was necessary for defending the good.

Now, the Gospel is very nuanced, and very complex. You can’t have the Law without forgiveness. Or no one is saved. You also can’t have forgiveness, without the Law, or no one does what is right, and all men suffer.

But with regard to meats and holiday and festival, anything done in faith is good. If you don’t eat pork or rest on Saturday to the LORD’s glory, that’s your right to do as a Christian, and you do it for Christ. But, if you judge me, I have liberty in Christ to not worry about those things. To each man let him be fully convinced, but our hands are not to do violence, and our battle is within us, not in the world around us.

The Butterflies and the Snake

The honeysuckle is dying, and so are the roses.
Upon the path, two blue moths do battle
For the right to mate with the female
In her rocky colors. Brilliant is their sheen
A bright opal mauve, and they spar
Valiantly--they are now fully evolved.
And such is the way of the world,
You know? Two men of equal valiance
Fight for the hand of the waiting female.
It makes love seem so wrong
And it makes you so sad...
Yet it is the way of nature
That the two brightly colored
Males fight in their aerial wars
To win the right to mate with their weaker sex.

And so, upon the path, the snake slithered
And I, like I did with the three butterflies,
Avoided stepping on him, yet the snake
I went around, not knowing if it were a copperhead.
For the moths are bright and gay
But the snake a danger...
Such it is, you never tread
On both the good or the evil
But walk in peace with all men.

The Wrightsville Burning

Columbia and Wrightsville burn
When the Union set fire the bridge.
Buckets come, Confederate sons
And a table is furnished for
Their troop. Such beauty is seen there
What wouldn't happen today. Good
Men, knowing war is famine of
Charity, they work together
To restore the town from ashes.
Right in my hometown the war came
Near, but both sides set aside their
Differences, to help keep the peace.
645,000 
Men died in the war, to free slaves.
Thus, reparations were paid by
Our blood and peace. Let it now rest.

The Most Educated Man in the Bible

Solomon. He’s the most educated. A wiser man than Jesus or Daniel. At some point, wisdom becomes folly, but to be fully wise you have to know both sin and righteousness. Which some may say Christ became, when He took upon our sin in His flesh. So… again… it’s hard to say. But that’s why the Knowledge from the Tree was a sin, because man took on the moral agency that was reserved for those who are Judges. Of which, we’re actually forfeiting this world’s wisdom and judgment for Christ. So we’re becoming foolish in this world’s things, to attain the wisdom of Heaven.

Mother Bird

My nestling is weak
And will not leave his stick nest;
I must leave it here
To die, lest I freeze in the
Winter. 'tis also humane.

For it cannot make a life for itself
And will never breed. 'tis better for it
To die, than live a hard life, suffering.

The Faded Rose

Walking through the street
The roses are faded;
Their scent majestic
Distinct above all other scents.
It looks like an aged woman
Who just yesterday was most beautiful among the flowers
And now, wrinkled, alive only for a short time.
Faded, her scent is strong, 
Still among the most beautiful
But the flower fades
And wrinkles.

On Moses and Jesus

I literally looked at about 30 artifacts from Egypt{}, from the Sinai peninsula, that had Hebrew inscriptions on them. So… yes, I did know that God’s name was El Yahweh. And I do know that a people group called the Habiru migrated out of Mesopotamia, into Egypt, and then finally settled into Canaan, after crossing the Red Sea. They created quite a stir, actually, enough for Pharaoh to attack them, and they were probably the same people called the “Sea Peoples” who destroyed the Hittites in the Bronze Age Collapse. I also know that there’s a lot of Egyptian references in the Torah and actual borrowed words from Late Bronze Age Egyptian in it. There’s a lot more than that.

A people group who were passed down a monotheistic culture migrated from Mesopotamia, into Egypt and then codified their religion in Canaan. That is what the evidence suggests. And then kept a concurrent record of all their kings and priests and judges from the time they conquered Canaan, even until this day.

As far as Jesus, the Gospels were written as early as 40AD he died in 31AD. We know this, because Paul accompanied Luke, and Luke met apostles such as Mary and John and Peter, and of course we have Papias telling us who wrote Mark and Matthew from St. John, and various surviving fragments tell is it was Papias who dictated the book from John, like Baruch did Jeremiah.

And the flood, there’s lots of evidence for that. The Bible talks about Pangea and Dinosaurs, and there’s also ancient artefacts that have dinosaurs on them.

Catholics, Protestants and Orthodox

When Israel separated from Judah, was Israel any less Hebrew? I think the schism of Protestant, Orthodox and Catholic is like that. Israel, Ephraim and Judah. Certainly, Israel went off and served Baal, but there were true saints among them, like Elisha and Elijah who contended Jezebel and Ahab.

I love reading Martyr's Mirror because it takes that subject, saying the church existed in a group called the Waldenses, but they have very detailed accounts of people's martyrdoms, and I see perfect theology in the Catholics--like uncondemnable--but they're in a position of power killing someone they have power over. It highlights the fact---as the same thing happened to Catholics in England in the 1600s--it's not Theology that saves you. It's charity, hope and faith. And I like that book because while it's a little persuaded to a wrong side--you can use postmodern interpretations to remove that thesis--you see pure Christian doctrine, and truly faithful people putting their lives on the line.

It's all about power. And right now, the power is in the Secular Authority, and it's like Rome again, where they're persecuting the WHOLE CHURCH. It's not people with good understanding of the Bible persecuting others with equal understanding, but people who have no idea what the Bible is, and are like Romans who called Christians Cannibals not understanding that wasn't what we were doing. Like people say priests engage in Catamism for God, but that's simply not true. They know it's a sin. It's written right in the New Testament.