Descartes was born in France on 1596. When the Black Death broke out in continental Europe, he wandered to Sweden and met a young Swedish princess Christine, who was 18 years old and became her math teacher after answering. Getting along with each other every day makes them fall in love. The princess's father, the king, flew into a rage and ordered Descartes to be executed. Later, because of his daughter's intercession, he was exiled to France. Princess Christina was also under house arrest by her father.
Descartes fell seriously ill soon after he returned to France. He writes to the princess every day. Because she was intercepted by the king, Christine never received a letter from Descartes. Descartes died after sending the 13 letter to Christine. The letter 13 only contains a short formula: r=a( 1-sinθ). The king couldn't understand that they didn't always talk about love, so he gave this letter to Christine, who had been depressed. As soon as the princess saw it, she immediately understood the intention of her lover. She immediately began to draw a diagram of the equation. She was very happy when she saw the chart. She knows that her lover still loves her, and the figure of the equation is a heart. This is also the famous "heart line".
After the king died, Christine ascended the throne and immediately sent people to look for her sweetheart all over Europe. It's a pity that she died and left her alone on earth. ...
It is said that this world-famous alternative love letter is still preserved in the Descartes Memorial Hall in Europe.
What do you think of the love story between Descartes and the princess?
Maybe my heart is dark. I think Descartes is completely greedy for the beauty and money status of the princess. If he really likes it, he should consider leaving the princess alone.
I r=a( 1-cosθ) What do you mean?
It means: I love you and I like you.
R=a( 1-cosθ) is the polar coordinate equation of the heart-shaped curve. The figure is as follows:
Equation form of heart-shaped curve:
1, polar coordinate equation
Horizontal direction: ρ=a( 1-cosθ) or ρ = a (1+cos θ) (a > 0)
Vertical direction: ρ=a( 1-sinθ) or ρ = a (1+sinθ) (a > 0)
2. Cartesian coordinate equation
The expressions of the plane rectangular coordinate system equation of the heart 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) respectively.
3. Parametric equation
-pi & lt； = t & lt=pi or 0
x=a*(2*cos(t)-cos(2*t))
y=a*(2*sin(t)-sin(2*t))
(3) Further reading the signature of Descartes' love story:
The Story of Mathematics tells the love story of mathematician Descartes. Descartes was born in France on 1596. When the Black Death broke out in continental Europe, he wandered to Sweden.
1649, on the street of Stockholm, Descartes, 52, met the Swedish princess Christine. 18. A few days later, he was unexpectedly informed that the king hired him as the little princess's math teacher. He came to the palace with the guards who came to inform him. He met the girl he met in the street. From then on, he became the little princess's math teacher.
Being inseparable every day makes them fall in love. When the princess's father found out, the king flew into a rage and ordered Descartes to be executed. After the little princess Christine begged, the king exiled her to France, and Princess Christine was placed under house arrest by her father.
Descartes fell seriously ill soon after he returned to France. He writes to the princess every day. Because she was intercepted by the king, Christine never received a letter from Descartes. Descartes died after sending the 13 letter to Christine. The letter 13 only contains a short formula: r=a( 1-sinθ). The king couldn't understand that they didn't always talk about love. He called all the mathematicians in the city to the palace, but no one could work it out. He couldn't bear to see his beloved daughter moping all day, so he gave this letter to Christine who had been moping all the time.
As soon as the princess saw it, she immediately understood the intention of her lover. She immediately set out to draw a graph of the equation. She was very happy when she saw this number. She knows that her lover still loves her. The original figure of this equation is a heart. This is also the famous "heart line".
After the king died, Christine ascended the throne and immediately sent people to look for her sweetheart all over Europe. Unfortunately, she died and left before her, leaving her alone on the earth. ...
It is said that this world-famous alternative love letter is still preserved in the Descartes Memorial Hall in Europe.
The love story between Descartes and Princess Christine (for more details, thank you)
On the streets of Stockholm, Descartes, 52, met the Swedish princess Christine, 18.
At that time, Descartes, who was down and out, lived a life of begging. All his possessions were his rags and a few math books with him.
One quiet afternoon, Descartes was sitting in the street as usual. Suddenly, someone came up to him and patted him on the shoulder: "What are you doing?" Turning his head, Descartes saw a beautiful young face, a pair of clear eyes like blue lake water, very cute. She is a little princess in Sweden. The king's favorite daughter Christine.
She bent down, took Descartes' math book and draft paper, and began to talk to him. During the conversation, he found that the little girl was quick-thinking and interested in mathematics.
A few days later, he was unexpectedly informed that the king hired him as the little princess's math teacher. Descartes was full of doubts and came to the palace with the guards who came to inform him. While waiting in the living room, he saw the girl he met in the street the other day. From then on, he became the princess's math teacher.
Under the careful guidance of Descartes, the princess's mathematics advanced by leaps and bounds, and they began to become close. Being inseparable every day also makes them fall in love.
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 exiled him to China, and the princess was placed under house arrest.
Descartes became seriously ill shortly after he returned to France. In the countdown to life, what he misses day and night is the warm smiling face he met in the street. Descartes sent Christine his thirteenth letter and died forever. There is not a word written in this last letter, but only one equation: r = a (1-sin.
E) carry out the test.
The king couldn't bear to see his beloved daughter moping every day, so he gave her this letter. When Christine got the letter, she immediately understood her lover's intention, found paper and pen, and began to draw equation diagrams. A heart-shaped pattern appeared in front of her eyes, and Christine couldn't help crying. This curve is the famous "heart line".
This world-famous Sui Shu is still preserved in the Descartes Memorial Hall in Europe.
(4) Further reading the signature of Descartes' love story:
Descartes is a famous French philosopher, physicist, mathematician and theologian. He made an important contribution to the development of modern mathematics, because he formulated the geometric coordinate system and was known as the father of analytic geometry. Together with the British philosopher Francis Bacon, he initiated the "epistemological" turn of modern western philosophy.
Descartes, the representative of dualism, left a famous saying "I think, therefore I am" (or translated as "thinking is the only definite existence") and put forward the idea of "universal doubt". Descartes was one of the founders of modern European philosophy, and Hegel called him "the father of modern philosophy".
His philosophical thoughts deeply influenced later Europeans and opened up the so-called "European rationalism" philosophy. Descartes is a self-contained system, which combines materialism and idealism and has far-reaching influence in the history of philosophy. At the same time, he is a scientist who dares to explore, and his analytic geometry is of epoch-making significance in the history of mathematics.
Descartes is one of the most influential masters in the field of philosophy and science in Europe in the17th century, and is known as "the ancestor of modern science". He founded the famous plane rectangular coordinate system.
Seek the signature of classic love philosophy personality!
1. Just because I gave her one more look in the crowd, I can't stop thinking about her from now on.
If you never leave, I will live and die together.
Love doesn't need the seas run dry and the rocks crumble, nor does it need a candlelight dinner. What it needs are two hearts that really love each other.
Love letters about Descartes
//360 doc/content/ 10/ 10 17/2 1/ 1623434 _ 6 1850604 . s
The picture is not easy to paste, ah ah ah.
What do you think of the love story between Descartes and the princess?
This story is not true. The only communication between Queen Christine and Descartes was being invited to be a teacher for a while.
Love story about the heart line
Reading The Story of Mathematics tells the love story of mathematician Descartes Karl. Descartes was born in France on 1596. When the Black Death broke out in continental Europe, he wandered to Sweden and met Princess Christine, a small principality of Sweden. She was 18 years old and later became her math teacher. Getting along with each other every day makes them fall in love. The king, the princess's father, flew into a rage and ordered Descartes to be executed. Later, she was exiled to France because of her daughter's intercession, and Princess Christine was also under house arrest by her father. Descartes fell seriously ill soon after he returned to France. He writes to the princess every day. Because she was intercepted by the king, Christine never received a letter from Descartes. Descartes died after sending the 13 letter to Christine. The letter 13 only contains a short formula: r=a( 1-sinθ). The king couldn't understand that they didn't always talk about love, so he gave this letter to Christine, who had been depressed. As soon as the princess saw it, she immediately understood the intention of her lover. She immediately began to draw a diagram of the equation. She was very happy when she saw the chart. She knows that her lover still loves her, and the figure of the equation is a heart. This is also the famous "heart line".
After the king died, Christine ascended the throne and immediately sent people to look for her sweetheart all over Europe. It's a pity that she died and left her alone on earth. ...
It is said that this world-famous alternative love letter is still preserved in the Descartes Memorial Hall in Europe.
The thirteenth love letter about Descartes
The thirteenth love letter
Descartes was born in France in the17th century. He made great contributions to later generations. He was the first person to invent coordinates, but he was poor all his life. Until he was 52 years old, he was still unknown.
At that time, the Black Death prevailed 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 them found that his accent was not Swedish. She was very curious about Descartes, so she went up to him and asked him ... where are you from? France "What do you do?" "I am a mathematician." This girl is Christine, 18 years old, and she is a princess. Unlike other girls, she doesn't like literature, but she is keen on mathematics. When she heard Descartes say his name, she felt quite interested, so she invited Descartes back to the palace. Descartes became her math teacher, and gave her life's research to Christine. And Christine's math is improving day by day. At that time, Cartesian coordinates were only understood by Descartes. Later, there was a different feeling between them, and there was a noisy love between teachers and students. The news reached the king's ears and made him quite angry! Descartes was sentenced to death and Christine hanged herself. The king was afraid that his precious daughter would really be unhappy, so he exiled Descartes to France and put Christine under house arrest. As soon as Descartes returned to France, he was infected with the Black Death and lay dying in bed. Descartes has been writing to Christine in Sweden, but he was intercepted and confiscated by the king. So Christine never received a letter from Descartes ... Descartes sent the letter 13 when he was dying, and not long after it was sent ... he died. 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 the usual love story. Of course, the king couldn't understand this mathematical formula, so he called all the scientists in the city to study it, but no one could understand its meaning. The king thought ... Descartes was dying 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 ecstatic. She is glad that her lover still misses her. She immediately began to study the secret of this line. It didn't take long to figure it out, using rectangular coordinates (note: it's actually polar coordinates)
When θ = 0, R = A (1-0) = A ... one point.
When θ = 90, r = a (1-1) = 0 ... point B.
When θ = 180, R = A (1-0) = A...c point.
When θ = 270, r = a (1+1) = 2a ... point d is the ratio of four intercepts.
Make the whole curve, which is the famous heart-shaped line!
Soon the king died, too, Christine.
Inherit the throne, immediately after the throne.
Send someone around Europe.
Descartes' trail,
It's a pity that ... everyone is dead,
Both talent and beauty?
It can be like a fairy tale
The ending.
According to legend,
This letter 13
Alternative love letters still exist.
Descartes is in Europe.
At the memorial hall ...
This formula in the letter,
This is Descartes and Corey.
The "love code" between Christine.
polar coordinates
Take a fixed point o on the plane, which is called the pole, draw a ray Ox, which is called the polar axis, and then choose a length unit and the positive direction of the angle (usually counterclockwise). For any point m on the plane, ρ represents the length of the line segment om, θ represents the angle from Ox to OM, ρ is the polar diameter of the point M, θ is the polar angle of the point M, and the ordered number pairs (ρ, θ) are the polar coordinates of the point M. The coordinate system thus established is called 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. Latin: Cogito ergo sum English: I think therefore I am. I think, therefore I am.
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 time is the existence of my own thoughts. The authoritative explanation is: "I can't deny my existence, because when I deny and doubt, I already exist!" " "So, it is contradictory to deny your existence. Denial and doubt are a kind of thinking activity, so he said, I think, therefore I am. Not the usual "I think, therefore I am!" " " *
Supreme metaphysics
At the turn of time
Your shadow is everywhere.
Cross-century dust
Because of an idea, your light shines all the way.
In the garden of human spirit
You are an evergreen leaf.
"I think therefore I am"
Nonsense from philosophy sounds like a shuttle.
At every intersection.
The wise man said so.