I challenged GROK to tell me whether NordaVinci’s Formula for the Area of a RIght Triangle is correct or not. At first it told me that it was wrong. Then I pushed the “think harder” button and it still said it was wrong. Then after thinking even harder with steam coming out of its ears. It finally admitted that it is correct.

Another day I asked it whether NordaVinci’s Formula can be used to prove the Pythagorean Theorem, which of course is simple to do. Again GROK stumbled and had to think harder and harder with steam coming out of its ears again. Finally it said “Yes” and compared it with ancient visual methods of doing that, which was interesting.

With that in mind, I produced a colorized diagram with Geobra (see Geobra.org) for anyone interested in having fun with GROK and geometry/trigonometry.

Diagram for visual proof of NordaVinci’s Formula for the Area of a Right Triangle –> X*Y = Area of Right Triangle ABC.

First prove that visually, and then using that, show visually that the Pythagorean Theorem is true.

The hypotenuse = X+Y. The adjacent sides are X+R and Y+R.

The Pythagorean Theorem states that (X+Y)^2 = (X+R)^2 + (Y+R)^2.

World Peace Lecture Series: A Reading of a Speech of Rev. Sun Myung Moon at Madison Square Garden from 1974

Excerpted from “Our Standard”

https://tparents.org/Moon-Talks/SunMyungMoon81/810301.htm

Today’s scientific world is confused about what is reality. Thinkers say we have to conquer reality in order to advance, but here is the confusion-what is reality? Religiously and philosophically there is confusion, and we have to clarify this confusion by setting the standard. We need philosophy and religion, but what do “I” need most of all? An active conscience. To determine true reality, we have to restore our consciences to be true ones. Have people in history every lived with true consciences? The common desire of all men has always been to live with true conscience, but how can this be realized?

One important quality in a moral code is filial piety. We value this, but what is it, and why should we exercise it? Filial piety is loyalty to the unchanging value of the family. The son of filial piety pursues the principle of serving his parents and brothers and sisters even if they do not reciprocate. Conscience dictates that this is the right thing to do. But if you do not recognize the value of conscience, you will not recognize the value of filial piety; you have to have some starting point. Conscience values your parents’ welfare more than your own.

On a large scale, a patriot follows the dictates of his conscience by serving his country and caring about its welfare. Again, the common ground is that the conscience dictates the benefit of something higher than yourself. The conscience does not care only for the self first, but pursues something of higher value.

What is a saint, or holy man? He follows the same principle, but obeys his conscience in acting for the sake of mankind, and he recognizes the subject of all-God. In history holy men have always been religious leaders.

Today, materialistic communists say that awareness, or consciousness, is merely a by-product of the material world. So where can they find a moral code? No place. Communism is destructive because that philosophy is based on materialism, and recognizes consciousness only as a by-product. There is no room for a “treasure person” in communism. Because communists don’t recognize the spiritual element, life is expendable in their political system, and they freely sacrifice people’s lives to attain material. There is no everlasting moral standard in the communist world.

Which is first-consciousness or existence? How do we determine that consciousness came first? An eye is material, of course, whether in man or some animal. Would the first eye know that it would encounter dust, or sunlight? Whoever designed the eye must have had an understanding of all these phenomena. Without knowing there would be light, how could the eye have been designed as it is? If anyone tries to say that the eye came about at random, you can show him his mistake. Is it a random event that the eye has tear ducts to keep the eye clean and moist? It is logical that long before the eye came into being a universal consciousness realized the circumstances and designed the eye accordingly. So we can say that consciousness came first.

In school, many of my acquaintances were communists and we discussed dialectical materialism, so I gave them this example and challenged them to answer me. If the eye came first and created the sun and dust and temperature, then their thinking might be correct, but otherwise their theory must die out. Finally those communists just gave up in confusion, and one of the honest ones admitted that there must be a universal consciousness.

I don’t deny the process of evolution in development, but I am saying that there is a creative process going on behind it. In the theory of evolution there are sudden occurrences called mutations, in which something new comes from its parent body. But we have to say that there must have been some energy or willpower that authorized that occurrence. Could evolution itself create a new awareness and make a new design? Absolutely not.

There must be something outside evolution that can supply creative energy. It is true that development occurred between the lowest and the highest stages, but it did not happen automatically. Each stage was the result of a design and input of additional energy. Evolutionists don’t want to recognize that. When they recognize that creative energy was put in, then they have to acknowledge a universal consciousness that provided the know-how. When you talk about man’s conscience then you have to recognize a universal truth that ties into it. Thus, you have to recognize God.

Does conscience also evolve? Communists want to say so. Unless you recognize the unchanging quality of conscience within yourself, it is contradictory to look for unchanging and unique characteristics within gold, gems and pearls. Unless you have that quality in yourself, you have no reason to seek it elsewhere. You appreciate precious things because you have in yourself the qualities of those things. You cannot compare two things unless you have the capacity to appreciate both.

A constitution is the base of all laws of a nation and it is used as a yardstick for determining what is good and evil. When you make a judgment, you are doing so based on a standard which is within yourself. If you are a person without principles and then you say that something is good or bad, your judgment has no value. Random judgments are based on self-centeredness: a true judgment can only come from a basic law or principle within yourself. It is the mind which has unchanging qualities, while the body always changes. The mind should have a permanent foundation.

The body will follow the direction dictated by your five senses, and they are always changing direction. If your eyes see a lovely flower, your body will walk over to it, for instance. But your mind is not bound by the five senses; it can refuse to obey and give other directions to your body instead. The mind is trying to bring the body to the place where all the senses can be contented. If the mind favored only the eyes then the other four senses would complain; the mind thinks of all five senses.

The mind decides how to respond to the desires of each sense, but the mind can only make these decisions based on some principle. Actually we can thank God that we have a conscience as a command post for the body. Before now you only felt it bothered you and limited your activities, but after listening to me this morning you can thank your conscience.

[Excerpt from “History of the Providence Through Restoration by Indemnity”]

For what mission does the Messiah come? The Messiah comes to confer the title of son of God to all people, starting with Israel. To gain that title, those in the servant’s position must go through the position of adopted son. That nation is also meant to move to the worldwide level. In this case, Israel was a colony of the Roman Empire. First it had to liberate itself from the bonds of its master, which was the Roman Empire. The Roman Empire was very powerful, and it was virtually impossible for a small nation like Israel to free itself and conquer Rome. Therefore, it was part of the dispensation that God had been weakening the Roman Empire and making it possible for Israel to conquer it.

During that time God had also picked His champions. John the Baptist was a great man who traveled around his own country, spiritually arousing the people. What was the Divine Principle role of John the Baptist? He was like a bridge between the roles of servant and son, so John the Baptist was in the role of adopted son. Everyone else was still in the servant’s position. By uniting with John the Baptist, everyone could instantly elevate themselves into the adopted son’s position, in preparation for becoming sons of God. By uniting horizontally with John the Baptist, they could be elevated one step higher. The ultimate mission of John the Baptist was to win the people’s hearts and take them to unite with the Messiah.

In that period 2,000 years ago, three different roles were being lived; first, the Jews in position of servant; second, John the Baptist as adopted son; and third, the son of God, the Messiah. There was a distinct vertical chain of command which God intended. The son of God should take command, and John the Baptist must unconditionally obey and listen to him. At the same time, all the people in the servant’s position must also unconditionally obey John the Baptist because he was one level higher. Together the Messiah, John the Baptist and the people of Israel were to struggle against the Roman Empire, just like Jacob wrestled against the angel at the ford of Jabbok.

If that movement had been successful, then with Jesus Christ as the commander-in-chief there shouldn’t have been any division between Abraham’s children, such as there is now between the Arabs and Jews. After all, the Arab nations are descended from Abraham’s son, Ishmael. In those days, God’s intention was to unite all Arab people and the Jewish nation. The Roman Empire was their common enemy, so when Israel stood up to fight Rome, all her neighbors, who were also under Roman oppression, were supposed to unite with Israel against their common enemy. Together they could have won a most spectacular, dazzling victory.

But history did not take that route. No one united with the Messiah. John the Baptist went his own way and the people of Israel also went their own way, and the son of God was lonely. They were all divided, never united. Jesus came as the Messiah to win the people, starting particularly with John the Baptist. When everyone betrayed him instead, Satan scoffed, “Jesus, you have no one around you. You are no longer the Messiah. You really failed.” Satan accused him directly. Satan said, “Even you, Jesus, should listen to me. I will control you.” Satan became that powerful and arrogant.

John the Baptist was not completely opposed to Jesus initially. At the Jordan River he testified about who Jesus was, telling the people to look at the Lamb of God who had come to bear the sins of the world. If John had failed completely, without making any testimony for Jesus, then Jesus would have had absolutely no ground to stand on. But in the sight of God a small condition was made when John witnessed once to the people about who Jesus was. Then even if Jesus was crucified, on that small foundation Jesus could be resurrected, restoring all the nation at least up to the adopted son’s level. Even after the crucifixion Jesus had the power to do so.

It was tragic, but the reality is that after the crucifixion of Jesus, the history of Christianity was the history of the adopted son. After his physical death, Jesus was resurrected spiritually and has been leading the way to spiritual salvation, opening the way for all men to reach the adopted son’s level. Without the living Christ as the commander-in-chief, the chosen people could not easily conquer the Roman Empire. Instead, Jesus’ disciples suffered for 400 years, and only then finally conquered Rome. Their suffering and tribulation was enormous. You have no idea how much suffering they went through.

When you go to Rome and visit the catacombs, the underground cemeteries, you can see how first century Christians lived. In order to preserve their lives they had to go down to the cemeteries to meet secretly, surrounded by dead bodies. But through their perseverance and sacrifice, they finally prevailed and restored the Roman Empire. That began the history of Catholicism.

Again, no matter what they did or how much they suffered, they could not achieve any more than spiritual salvation or the level of adopted sons. Jesus Christ never gave anyone else the title of son of God. He was only in the role of the spiritual Son. Physically speaking, there is no foundation even for the servant or adopted son, for Jesus had won only a spiritual victory. Christianity then received the task of preparation for the coming of the Second Messiah. Because Jesus’ job was left unfinished, the Second Coming became mandatory. The Christian world was to physically create the realm of adopted son, upon which the new Christ could come and prosper.

For 2,000 years, therefore, the work of Christianity has been done only in spirit. However, we can really fight against Satan because our rank is already that of adopted son, which is higher than a servant. Even an adopted son has a right to receive inheritance. The servant, however, is always controlled by the master.

The spirit of Christianity made the foundation for modern-day civilization. Today the United States is the center of world Christianity, and its role is to complete the final chapter of God’s providence for the coming of the Messiah by making the spiritual foundation upon which the physical kingdom can come. That is the ultimate destiny of Christianity. The modern dispensation will duplicate the providential pattern of 2,000 will duplicate the providential pattern of 2,000 years ago; what we need is a physical John the Baptist, and a Messiah living on earth.

By uniting with Jesus Christ, Christianity could be elevated one step higher to the position of adopted son, but all other religions remained in their same position. In our day, the various religions hold different positions in the providence, such as servant of servant, servant, adopted son, true son, and finally the religion of parents. The religion of adopted son is Christianity. Buddhism, Islam, and Confucianism, all fit into different levels. God’s desire is to have all mankind come together and receive the one Messiah. The Messiah is not coming to one particular religion; He is coming for all men and all mankind. That was God’s desire. This is why in the end there must be a movement for the unification of all religions.

At the same time, the ultimate satanic ideology will come into being. That is none other than communism, which is the common enemy of all religions. The satanic side has one religion, which is communism. On God’s side, there are many kinds of religions, however, so when the Messiah comes, he will bring the religion of true sonship and the religion of true parents. The Messiah’s job is to raise all religions to the level of the religion of the parent. There is no more beyond that.

According to logic, everything that happened 2,000 years ago on the spiritual level will now be duplicated physically on the world level. There should be a modern-day Roman Empire, for instance. Israel as the chosen nation was a part of the Roman Empire, so there must be one small nation today which is connected to the modern-day Roman Empire; that small nation will play the major role by bringing a new ideology and religion to the world. Also, that small nation will have to go through incredible tribulation, being completely overrun by satanic forces and gradually conquering them.

The United Sates is the central Christian nation, but America is not the physical foundation of national sovereignty on the heavenly side that Israel was. For the United States to have such sovereignty, it must liberate the country which parallels Israel of 2,000 years ago, and find the new truth.

From 1910 on, Korea was ruled by Japan. Imperial Japan brutally dominated Korea. Japan was seeking world domination, and was responsible for starting the Pacific war. From the dispensational point of view, however, World War II was fought in order to liberate Korea. Before Korea was annexed by Japan in 1910, a great many American Christian missionaries had gone to Korea. They planted the spirit of independence and made a deep connection between Korea and America. The imperial Government of Japan hated that very much and wanted to cut that connection. That is another aspect of why World War II began in the Pacific.

Japan was very ambitious and sought to dominate all of Asia, invading Manchuria, then all eastern China, Southeast Asia, and the Philippines. The nation most troublesome to Japan was Korea because Korea was always trying to be independent, and Korean Christians maintained their links with the United States.

At that time Japan felt that no nation could stop the Japanese expansion, so the Japanese military government concluded that it could cut off Korean agitation by severing its ties to America; therefore, Japan attacked America. No history books in America or Japan record it this way. That is the truth. The Japanese totally surprised America with the attack on Pearl Harbor. Historians have speculated about why they made such a blunder, but now you know.

American Christianity played a great role in planting a strong political ideology among the Korean people. Nowadays there is much criticism of me by American people and media, who think I am playing politics. But who started the politics first? Your missionaries in Korea. Actually, in history, Christianity has often been used as a political tool. The United States and Great Britain have to admit that. The Third World doesn’t trust Christianity because they feel that missionaries are coming as the agents of some imperialistic American or British government. They do not open their hearts to Christianity because that religion was used so many times to justify colonialism. Satan used that tactic first, but this is also God’s tactic, so it is not necessarily bad. When you become the prey of Satan’s infiltration, your destiny would be hell; but if God uses the same tactic then you benefit by it, so it is actually a good deal. The people who are jittery about American Christianity don’t know this particular truth. Even if the American missionaries were somewhat political, the people would ultimately receive some benefit.

When the allied powers defeated Japan in World War II, Korea was liberated in 1945. Korea is comparable to Israel of 2,000 years ago. By Korea’s becoming one with the United States, American Christianity will for the first time have a physical foundation. That’s why I left Korea to come to the United States. President Reagan is the fourth American President I have dealt with; at the same time, Reagan happens to be the fortieth President. This is not a coincidence. Four presidents represent four generations, so this will indemnify the 4,000 year history of the chosen nation. Even the American hostages came out of Iran after 444 days. Everything happened in multiples of four.

The hostages were symbolic in dispensational history, and through their suffering of 444 days, indemnity was paid for America’s dividing Korea at the end of World War II, and for her standing by while the free world became weak and communism expanded. To indemnify the failures of America as a Christian nation, 52 Americans suffered as hostages.

President Reagan is God’s chosen president, so I supported him all the way. Within eighteen hours after Reagan became President, he declared that the first head of state to visit the Reagan White House would be the President of Korea. This was very surprising to many people; after all, with all the many powerful nations in the world, why pick little Korea? This meeting of the presidents was like a declaration that Korea and America have a common destiny. This is also a big bonus for Japan. President Reagan will undoubtedly tell Japan that after having an easy time in the last two decades it must now participate in the defense of the free world, and in particular of Korea. Thus, Korea and Japan will also be linked in one destiny.

When the three nations come together, what is actually happening in the dispensation? First, we’ll see the emergence of the physical adopted son nation, Eve’s nation, and then the physical son nation and father nation. All the dispensational components will come into place on the physical level. Who is going to make this unity? Korea? Japan? America must do it because America is the archangel country, and archangel is supposed to be the heavenly servant and messenger. The archangel was the rascal who caused the division between God and man, and between Adam and Eve. Therefore, in restoration, the archangel must play a major role in bringing them together into unity. That’s why America will play this role between nations.

By the end of the Carter administration, the free world was so divided and demoralized that there was little hope. The communist world and the Christian world were also declining. America had become helpless, like a sick elephant. During that period, the American government, Korean government, Japanese government, as well as Judaism, Christianity and all the religions of the world, and especially communism-all came against me.

The most dramatic symbol of that world opposition was our battle with the Fraser committee in Congress. Whether they liked it or not, many liberals were utilized as agents for communist strategy. But ever since we won that battle, all the liberals are being turned out of office. It was a dramatic turnaround. You know what happened on November 4. Almost from the very day President Carter was inaugurated, I had to speak out against him. This time, however, the picture is different.

It is truly a historical victory that I pronounced at the end of my 21 year course. During my three seven-year courses I had sole responsibility, but now, upon this victorious foundation, I can announce three seven-year courses that will be walked primarily by you. Your job is very easy compared to mine because I have built a big highway; all you have to do is follow my example. I fought on the worldwide level, facing the American government and facing communism. All you have to fight for is victory in your home church. That is your world. I have been accused and persecuted, but your day will be different. Later on you will not be persecuted any more. You will be welcomed by the people.

All these years I have been thinking of one thing: how can I make providential history perfect and complete? I began in the servant of servant position. Before I could inherit the Christian heritage, or the adopted son position, I went down to the servant of servant position and worked upward, paying all the debts. My battle is twofold. First, I had to go through an incredible spiritual battle, and then the physical struggle. In both struggles I prevailed.

I received my mission when I was still young. From the age of twenty to thirty I paid indemnity and developed the Principle. This parallels the period of Jesus growing up, the adopted son’s period. At the age of 25, I began working for the unification of Korean Christianity. In those days there were quite a few John the Baptists who bore testimony to me, but just like the John the Baptist of 2,000 years ago, they all disappeared.

Because all these people left, I had to do everything myself. I laid the foundation for the new church, which is our church, then upon the spiritual victory moved forward to erect the physical foundation. By the time I reached the age of forty, I was completely victorious and invincible. From that point on I could give blessing to the world. I went through many critical, difficult points, many times coming near to the same point at which Jesus was crucified on the cross.

In 1960 I declared the three seven-year courses, determining that in 21 years I would indemnify the entire 6,000 year history of restoration. That was also equivalent to the indemnification of America’s 200 year history. Together my 21 years and America’s 200 years were to indemnify the entire 6,000 year old history of God.

If President Nixon had been a man of bolder faith and had listened better to me, America would not have declined this far. America’s dispensational history was supposed to be complete by 1976, but had to be prolonged another four years, to be complete by 1980. For many years I predicted all this, preaching like a voice in the wilderness to awaken the nation. Finally, America has awakened. Now America has a government chosen by God, and it must turn around to be bold and strong, and march forward to stop the expansion of communism. That is what the Reagan administration is doing.

What God wants is for America to stop the expansion of communism. Only the United States has the power to do that. If the United States fulfills that part of its responsibility, we will finish the rest of the job. For the first time the United States has wakened up and is turning around to stop communism, so internally this is our day. When we march forward together in the next four years, we will win an incredible concluding victory in America and all over the world. There will also be many people coming into the Unification Church. There will be so many people that you won’t know what to do with them all.

By the year 2,000, the work of God here on earth shall be complete. In that year, I will celebrate my eightieth birthday. As you know, Moses started his mission at the age of eighty and marched toward the land of Canaan, the Symbolic Kingdom of Heaven on earth. When I reach the age of eighty, I will indeed start the glorious march toward the physical kingdom of heaven on earth. You can believe what I am saying today because 21 years ago when I announced the three seven-year courses I said that in 21 years we would have the worldwide foundation. Now we have members from 127 countries, people of all colors worshipping together in living color. When I announced one incredible thing after another, the Korean members thought I was crazy. Today I am telling you about the year 2,000; can you believe it now? Today you say you can believe it because things are entirely different today compared to 21 years ago.

The era of individuals welcoming me is over, and the time has come that nation after nation will welcome me. Presidents of nations will ask me to come to their countries. The United States may not welcome me until very late, but many other nations around the world will say, “Reverend Moon, please come. ” At that point the American government and people will realize how precious it was to have me in this country. Now the time of preaching to groups of people is over. The time has come for us to preach to the nation. The Yankee Stadium, Washington Monument and Madison Square Garden crusades were all done by our organization, but the time will come in the near future that each government will prepare such a stadium rally. They will prepare a microphone, speakers and singers, and say, “Reverend Moon, can you come and speak to us? ” Furthermore, this is the era of satellites, so my talks will televised to many countries.

History of the Providence Through Restoration by Indemnity (Rev. Sun Myung Moon 2/10/1981)