Stories about Descartes

Descartes was born in France in 1596. When the Black Death broke out on the European continent, he wandered to Sweden and met a Swedish young man when he returned home at the age of 18. Princess Christine, who later became her math teacher, and getting along with each other every day made them fall in love with each other. When the princess's father, the king, found out, he was furious and ordered Descartes to be executed. Later, he was exiled to the United States because of his daughter's plea. In France, Princess Christine was also placed under house arrest by her father.

Descartes fell seriously ill soon after returning to France. He wrote letters to the princess every day. Because the king intercepted them, Christine never received Descartes's letter. Descartes died after sending the thirteenth letter to Christine. The content of this thirteenth letter contained only a short formula: r=a(1-sinθ). The king couldn't understand, and felt that the two of them were not always talking about love, so he mercifully handed the letter to Christine, who had always been depressed. After the princess saw it, she immediately understood her lover's intention, and she immediately started to The graph of the equation was drawn, and she was very happy when she saw the graph. She knew that her lover still loved her. It turned out that the graph of the equation was the shape of a heart. This is also known as the "heart-shaped line".

After the death of the king, Christine ascended the throne and immediately sent people to search for her sweetheart in Europe. Unfortunately, she passed away and took a step ahead of her, leaving her alone in the world...

It is said that this world-famous alternative love letter is still preserved in Descartes's memorial hall in Europe.

What do you think of the love story between Descartes and the princess?

Maybe I have a darker heart. I think Descartes is completely coveting the beauty and money status of the princess. If so, If he really likes her, he should consider not provoking the princess.

I r=a(1-cosθ) What does You mean?

It means: I love you, I like you.

r=a(1-cosθ) is the polar coordinate equation of the heart-shaped curve. The graph is as follows:

The equation form of the heart-shaped curve:

1. Polar coordinate equation

Horizontal direction: ρ=a(1-cosθ) or ρ= a(1+cosθ) (a>0)

Vertical direction: ρ=a(1-sinθ) or ρ=a(1+sinθ) (a>0)

2. Cartesian coordinate equation

The expressions of the plane Cartesian coordinate system equation of the heart-shaped line are x^2+y^2+a*x=a*sqrt(x^2+y^2) and x^2+y^2-a*x=a*sqrt(x^2+y^2)

3. Parametric equations

-pi<=t<=pi or 0<=t<=2*pi

x=a*(2*cos(t)-cos(2*t))

y=a*(2* sin(t)-sin(2*t))

(3) Extended reading on the personalized signature of Descartes’ love story:

“The Story of Mathematics” talks about mathematicians Descartes' love story. Descartes was born in France in 1596. When the Black Death broke out on the European continent, he wandered to Sweden.

In 1649, on the streets of Stockholm, 52-year-old Descartes met the 18-year-old Swedish princess Christine. . A few days later, he unexpectedly received a notice that the king hired him to be the little princess's math teacher. He came to the palace with the guards who came to notify him, and he met the girl he met on the street. From then on, he became the little princess's math teacher.

Being inseparable every day made them fall in love with each other. When the princess's father, the king, found out, he was furious and ordered Descartes to be executed. After the little princess Christine begged, the king exiled her. Back in France, Princess Christine was also placed under house arrest by her father.

Descartes fell seriously ill soon after returning to France. He wrote letters to the princess every day. Because the king intercepted them, Christine never received Descartes's letter. Descartes died after sending the thirteenth letter to Christine. The content of this thirteenth letter contained only a short formula: r=a(1-sinθ). The king couldn't understand and felt that the two of them were not always talking about love. He summoned all the mathematicians in the city to the palace, but no one could solve the problem. He couldn't bear to see his beloved daughter depressed all day long, so he sent her to the palace. This letter is given to Christine, who has always been depressed.

After the princess saw it, she immediately understood her lover’s intention. She immediately started to draw the graph of the equation. When she saw the graph, she was very happy. She knew that her lover still loved her. It turned out that the graph of the equation was Shape of a heart. This is also known as the "heart-shaped line".

After the death of the king, Christine ascended the throne and immediately sent people to search for her sweetheart in Europe. Unfortunately, she passed away and left before her, leaving her alone in the world...

It is said that this world-famous alternative love letter is still preserved in Descartes's memorial hall in Europe.

The love story of Descartes and Princess Christine (more details, thank you)

On the streets of Stockholm, 52-year-old Descartes met the 18-year-old Swedish Princess Christine.

At that time, Descartes, who was down and out and penniless, lived a life of begging. His only possessions were the tattered clothes and a few mathematics books he carried with him.

One quiet afternoon, Descartes was sitting on the street as usual. Suddenly, someone came next to him and patted him on the shoulder: "What are you doing?" Turning his head, Descartes saw a young and beautiful face, with a pair of clear eyes like blue lake water, as charming as the blue lake. She is the little princess of Sweden. Christine, the king's favorite daughter.

She knelt down, took Descartes' mathematics book and scratch paper, and started talking to him. During the conversation, he discovered that this little girl was quick-thinking and had a strong interest in mathematics.

A few days later, he unexpectedly received a notice that the king hired him to be the little princess's math teacher. Descartes, who was full of doubts, followed the guards who came to notify him to the palace. While waiting in the living room, he saw the girl he met on the street a few days ago. From then on, he became the princess's math teacher.

The princess's mathematics improved by leaps and bounds under Descartes' careful guidance, and they began to become closer. Being inseparable every day also made them fall in love with each other.

However, it didn't take long for their love affair to reach the king's ears. The king was furious and ordered Descartes to be executed immediately. At Christine's pleading, the king banished him back to his country and the princess was placed under house arrest.

Shortly after Descartes returned to France, he fell seriously ill. During the days when his life was counting down, what he missed day and night was the warm smiling face he met by chance on the street. After Descartes sent the thirteenth letter to Christine, he left this world forever. There was no sentence in this last letter, only one equation: r=a(1-sin

e).

The king couldn't bear to see his beloved daughter depressed every day, so he gave her this letter. After getting the letter, Christine immediately understood her lover's intention, found paper and pen, and started to draw the equation graph. A heart-shaped pattern appeared in front of her eyes. Christine couldn't help but shed tears of emotion. This curve is The famous "heart-shaped line".

This world-renowned alternative Sui letter is still preserved in Descartes’s memorial hall in Europe.

(4) Extended reading of the personalized signature of Descartes’ love story:

Descartes was a famous French philosopher, physicist, mathematician, and theologian. He made important contributions to the development of mathematics and is considered the father of analytic geometry for formulating the geometric coordinate system. Together with the British philosopher Francis Bacon, he initiated the "epistemological" turn in modern Western philosophy.

Descartes is a representative of dualism. He left behind the famous saying "I think, therefore I am" (or translated as "Thinking is the only certain existence"), and put forward the idea of ??"universal doubt". It is a modern European philosophy. One of the founders of philosophy, Hegel called him "the father of modern philosophy."

His philosophical thoughts deeply influenced subsequent generations of Europeans, pioneering the so-called "Continental Rationalism" philosophy. Descartes formed a system of his own, integrating materialism and idealism, which had a profound impact on the history of philosophy. At the same time, he was a scientist who had the courage to explore. The analytic geometry he established had epoch-making significance in the history of mathematics.

Descartes can be called one of the most influential giants in European philosophy and science in the 17th century, and is known as the "ancestor of modern science." He created the famous plane Cartesian coordinate system.

Looking for a classic love philosophy personalized signature!

1. Just because I took one more look at her in the crowd, I couldn’t stop thinking about her.

2. If you never leave me, I will depend on you for life and death.

3. Love doesn’t need to last forever, nor does it need a candlelight dinner. What it needs is two sincerely loving hearts.

A love letter about Descartes

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The picture is not easy to post, so I’m sorry for the content.

Let’s talk about the love story between Descartes and the princess.

This story is not true. The only communication between Queen Christine and Descartes was just to invite I have been a teacher for a while.

The love story about the heart-shaped line

Reading "The Story of Mathematics" tells the love story of the mathematician Descartes. Descartes was born in France in 1596. When the Black Death broke out on the European continent, he wandered to Sweden and met Christine, an 18-year-old princess from a small principality in Sweden. He later became her mathematics teacher. Their daily interaction made them fall in love with each other. When the princess's father, the king, found out, he was furious and ordered Descartes to be executed. Later, he was exiled back to France because of his daughter's plea. Princess Christine was also placed under house arrest by her father. Descartes fell seriously ill soon after returning to France. He wrote letters to the princess every day. Because the king intercepted them, Christine never received Descartes's letter.

Descartes died after sending the thirteenth letter to Christine. The content of this thirteenth letter contained only a short formula: r=a(1-sinθ). The king couldn't understand, and felt that the two of them were not always talking about love, so he mercifully handed the letter to Christine, who had always been depressed. After the princess saw it, she immediately understood her lover's intention, and she immediately started to The graph of the equation was drawn, and she was very happy when she saw the graph. She knew that her lover still loved her. It turned out that the graph of the equation was the shape of a heart. This is also known as the "heart-shaped line".

After the death of the king, Christine ascended the throne and immediately sent people to search for her sweetheart in Europe. Unfortunately, she passed away and took a step ahead of her, leaving her alone in the world...

It is said that this world-famous alternative love letter is still preserved in Descartes's memorial hall in Europe.

About Descartes’ Thirteenth Love Letter

Thirteenth Love Letter

Descartes was born in France in the 17th century. His contribution was considerable. He was the first person to create invention coordinates. Unfortunately, he was poor all his life. Until the age of 52, he was still unknown.

At that time, the Black Death was prevalent in France, and Descartes had to flee France, so he wandered to Sweden as a beggar. One day, when he was begging in the market, a group of girls passed by. One of the girls noticed that his accent did not sound Swedish. She was very curious about Descartes, so she came up to him and asked him... Where are you from? "France" "What do you do?" "I am a mathematician." This girl is called Christine, 18 years old, a princess. She is different from other girls in that she does not like literature, but Passionate about mathematics. When she heard Descartes mention his identity, she felt quite interested, so she invited Descartes back to the palace. Descartes became her mathematics teacher and taught Christine all his life's research. Christine's mathematics was also improving day by day. At that time, only Descartes, the teacher and student, understood Cartesian coordinates. Later, a different feeling developed between them, and a tumultuous teacher-student romance developed. This incident reached the king's ears and made him very angry! Descartes was ordered to be executed, and Christine was forced to hang herself. The king was afraid that his baby daughter would really miss him, so he exiled Descartes back to France and put Christine under house arrest. As soon as Descartes returned to France, he soon contracted the Black Death and lay dying in bed. Descartes kept writing letters to Christine in Sweden, but they were intercepted and confiscated by the king. So Christine never received Descartes' letter... When Descartes was about to die, he sent the 13th letter. Not long after he sent it... he died of anger. The content of this letter is only a short line...

r=a(1-sinθ)

After the king intercepted the letter, he opened it and found that it was not a letter. As usual love words. Of course the king couldn't understand this mathematical formula, so he called in all the scientists in the city to study it, but no one could figure out what it meant. The king thought...Descartes was going to die anyway, and the princess was depressed when she was under house arrest, so he gave the letter to Christine. When Christine received this letter, she was so happy that her lover was still thinking of her. She immediately began to study the secret of this line of writing. It didn’t take long to solve it, using a rectangular coordinate diagram (note: it is actually a polar coordinate system)

When θ=0°, r=a(1-0)=a…A Point

When θ=90°, r=a(1-1)=0... Point B

When θ=180°, r=a(1-0 )=a...Point C

When θ=270°, r=a(1+1)=2a...Point D a is the ratio of the four intercepts

Take the entire curve When the picture is drawn, it becomes the famous heart-shaped line!

The king also died soon after, Christine

inherited the throne, and immediately after ascending the throne

sent people to search around Europe

The traces of Descartes,

It’s a pity that... the man is deceased,

The gifted man and the beautiful woman cannot

be like fairy tales

Legend,

This 13th letter

Alternative love letters are still preserved

Descartes in Europe

This pattern in the letter,

This is the "love code" between Descartes and Christine

Christine.

Polar coordinates

Pick a fixed point O in the plane, called the pole, lead a ray Ox, called the polar axis, and then select a length unit and the positive direction of the angle (usually counterclockwise). For any point M in the plane, use ρ to represent the length of the line segment OM, θ to represent the angle from Ox to OM, ρ is called the polar diameter of the point M, θ is called the polar angle of the point M, and the ordered number pair (ρ, θ) is called The polar coordinates of point M. The coordinate system established in this way is called a polar coordinate system.

In polar coordinates, x is replaced by ρcosθ and y is replaced by ρsinθ.

ρ=(x^2+y^2)^0.5

I think, therefore I am

Descartes’ philosophical proposition (French: Je pense, donc je suis. Latin: Cogito ergo sum English: I think, therefore I am.), literally translated as "I think, therefore I exist"

It means: "When I doubt the existence of everything, I don't have to doubt my own thoughts. , because the only thing I can be sure of at this point is the existence of my own thoughts.” A more authoritative explanation is: "I cannot deny my own existence, because when I deny or doubt, I already exist!" Therefore, denying one's own existence is contradictory. Denial and doubt are a kind of thinking activity, so he said, I think, therefore I am.

It’s not the usual “I think, therefore I exist!”*

The supreme metaphysics

At the corner of time

Your shadow is everywhere

Traveling through the dust of the centuries

Because of one thought, your light shines all the way

In the garden of the human spirit

You are a piece of Evergreen leaves

“I think therefore I am”

Whose voice comes from the babble of philosophy?

At every intersection

The wise say so