《廊桥遗梦The Bridges of Madison County》里有一句经典对白——Love won't obey our expectation. Its mystery is pure and absolute
（爱情并不遵从我们的想象，爱情的神秘在于它的纯洁与纯粹）。
In 1956,52-year-old Descartes, met 18-year-old Swedish princess Christine on the streets of Stockholm. 1956年，斯德哥尔摩的街头，52岁的笛卡尔邂逅了18岁的瑞典公主克里斯汀。
At that time, the battered, cheap Descartes lived a begging life ，All his property only wore tattered clothes and take of some math books. Natural disposition of Descartes is lofty. he never ask for passers-by, he just silently bowed their heads, drawing on the paper, and immersed in his math world. 那时，落魄、一文不名的笛卡尔过着乞讨的生活，全部的财产只有身上穿的破破烂烂的衣服和随身所带的几本数学书籍。生性清高的笛卡尔从来不开口请求路人施舍，他只是默默地低头在纸上写写画画，潜心于他的数学世界。
In a quiet afternoon，Descartes as usual sitting in the street, study math problems in the sun. When he was intoxicated in the world of mathematics, any things can cause interference to him. 一个宁静的午后，笛卡尔照例坐在街头，沐浴在阳光中研究数学问题。他如此沉溺于数学世界，身边过往的人群，喧闹的车马队伍。都无法对他造成干扰。
Suddenly, someone came to his side, patted him on the shoulder,
突然，有人来到他旁边，拍了拍他的肩膀，“你在干什么呢？”扭过头，笛卡尔看到一张年轻秀丽的脸庞，一双清澈的眼睛如湛蓝的湖水，楚楚动人，长长的睫毛一眨一眨的，期待着他的回应。她就是瑞典的小公主，国王最宠爱的女儿克里斯汀。
She squatted down body, took the math books and draft paper of Descartes, and talked with him. In the speech, he found that the little girl thought is agile, having great interest in mathematics.
她蹲下身，拿过笛卡尔的数学书和草稿纸，和他交谈起来。言谈中，他发现，这个小女孩思维敏捷，对数学有着浓厚的兴趣。
And the girl say goodbye after Descartes gradually forgotten it, still sitting on the street every day drawing.和女孩道别后，笛卡尔渐渐忘却了这件事，依旧每天坐在街头写写画画。
A few days later, he received a notice, the king hired him to do the little princess's math teacher. Mystified, Descartes followed to inform the guard came to the palace, wait in the lounge, he heard the sound of laughter from the distance. Turned around, he saw in
the street the day before yesterday day casual girl. Hurriedly, he hurriedly bowed their heads and salute. 几天后，他意外地接到通知，国王聘请他做小公主的数学老师。满心疑惑的笛卡尔跟随前来通知的侍卫一起来到皇宫，在会客厅等候的时候，他听到了从远处传来的银铃般的笑声。转过身，他看到了前儿天在街头偶遇的女孩子。慌忙中，他赶紧低头行礼。
From then on, he became the princess of the math teacher.
At that time, the continent is popular the black death. Shortly after the body weak
Descartes return to France, and severe disease. In life into the countdown of days, he miss the day still encounter that warm smiling faces. He write to her every day, looking forward to her reply. However, these letters were the king stopped, the princess had not received any news of him.
In cartesian send Christine thirteenth letter after he left the world forever. At this point, under house arrest in the palace of the little princess is still hovering in the corridors of the palace, thinking of distant lovers.
On the last letter didn't write a word, only one equation:
R = a (1 - sine theta).
Look not to understand, the king thought that this equation is hidden in the two skeleton in my closet, put the whole city mathematician summoned to the palace, but no one can solve the functional. He cannot bear to look at his beloved daughter unhappy every day, and gave the letter to her. To believe kristen ecstatic, she immediately understand the intention of lovers, find a pen and paper, set about graphics drew out the equation and a heart shaped pattern appeared in sight, kristen can't help but was moved to tears shed, this curve is the famous
Throne when the king died, Christine, after he began to reign, she immediately sent someone to France the whereabouts of looking for a beloved, received the news of the death is the cartesian, left a regret forever...
The alternative of love letter, this letter is famous in the world today, and save to Descartes's memorial in Europe.
In fact, Descartes and Christina is friendship. However, Descartes is on October 4, 1649 at the invitation of Christina came to Sweden, and Christina was already became the
queen of Sweden. And, Descartes and Christina mainly talking about philosophical issues. The data records, due to the queen Christina schedule is very tight, Descartes only five o 'clock in the morning with her philosophy is discussed in this paper. The cold weather and the overwork, make the cartesian unfortunately suffering from pneumonia, this is the cartesian the real cause of death.
Cardioid story part what is the true part is false, or left to your own judgement.
从此，他当上了公主的数学老师。
Princess of mathematics under the guidance of the cartesian by leaps and bounds, are becoming close up between them. Descartes introduced her to his new field of research - rectangular coordinate system. Through it, algebra and geometry can be combined, which is later Descartes created the prototype of analytic geometry.公主的数学在笛卡尔的悉心指导下突飞猛进，他们之间也开始变得亲密起来。笛卡尔向她介绍了他研究的新领域——直角坐标系。通过它，代数与几何可以结合起来，也就是日后笛卡尔创立的解析几何学的雏形。
Under the guidance of Descartes, kristen went into the wonderful world coordinates, she was fascinated with curve. Every day was like peas and carrots also made them from each other
在笛卡尔的带领下，克里斯汀走进了奇妙的坐标世界，她对曲线着了迷。每天的形影不离也使他们彼此产生了爱慕之心。
In Sweden the romantic country, a pure, beautiful love quietly germination.
However, before long, their relationship to the ears of the king. Great anger, the king ordered the cartesian executed immediately. Under the kristen begged the king to his exile to return home, the princess under house arrest in palaces.
在瑞典这个浪漫的国度里，一段纯粹、美好的爱情悄然萌发。
然而，没过多久，他们的恋情传到了国王的耳朵里。国王大怒，下令马上将笛卡尔处死。在克里斯汀的苦苦哀求下，国王将他放逐回国，公主被软禁在宫中。
当时，欧洲大陆正在流行黑死病。身体孱弱的笛卡尔回到法国后不久，便染上重病。在生命进入倒计时的那段日子，他日夜思念的还是街头偶遇的那张温暖的笑脸。他每天坚持给她写信，盼望着她的回音。然而，这些信都被国王拦截下来，公主一直没有收到他的任何消息。
在笛卡尔给克里斯汀寄出第十三封信后，他永远地离开了这个世界。此时，被软禁在宫中的小公主依然徘徊在皇宫的走廊里，思念着远方的情人。
这最后一封信上没有写一句话，只有一个方程：
r=a(1-sinθ)。
国王看不懂，以为这个方程里隐藏着两个人不可告人的秘密，便把全城的数学家召集到皇宫，但是没有人能解开这个函数式。他不忍看着心爱的女儿每天闷闷不乐，便把这封信给了她。拿到信的克里斯汀欣喜若狂，她立即明白了恋人的意图，找来纸和笔，着手把方程图形画了出来，一颗心形图案出现在眼前，克里斯汀不禁流下感动的泪水，这条曲线就是著名的“心形线”。
国王去世后，克里斯汀继承王位，登基后，她便立刻派人去法国寻找心上人的下落，收到的却是笛卡尔去世的消息，留下了一个永远的遗憾……
这封享誉世界的另类情书，至今，还保存在欧洲笛卡尔的纪念馆里。
事实上，笛卡尔和克里斯蒂娜的确有过交情。不过，笛卡尔是 1649 年 10 月 4 日应克里斯蒂娜邀请才来到的瑞典，并且当时克里斯蒂娜已经成为了瑞典女王。并且，笛卡尔与克里斯蒂娜谈论的主要是哲学问题。有资料记载，由于克里斯蒂娜女王时间安排很紧，笛卡尔只能在早晨五点与她探讨哲学。天气寒冷加上过度操劳让笛卡尔不幸患上肺炎，这才是笛卡尔真正的死因。
心形线的故事究竟几分是真几分是假，还是留给大家自己判断吧。
《廊桥遗梦The Bridges of Madison County》里有一句经典对白——Love won't obey our expectation. Its mystery is pure and absolute
（爱情并不遵从我们的想象，爱情的神秘在于它的纯洁与纯粹）。
In 1956,52-year-old Descartes, met 18-year-old Swedish princess Christine on the streets of Stockholm. 1956年，斯德哥尔摩的街头，52岁的笛卡尔邂逅了18岁的瑞典公主克里斯汀。
At that time, the battered, cheap Descartes lived a begging life ，All his property only wore tattered clothes and take of some math books. Natural disposition of Descartes is lofty. he never ask for passers-by, he just silently bowed their heads, drawing on the paper, and immersed in his math world. 那时，落魄、一文不名的笛卡尔过着乞讨的生活，全部的财产只有身上穿的破破烂烂的衣服和随身所带的几本数学书籍。生性清高的笛卡尔从来不开口请求路人施舍，他只是默默地低头在纸上写写画画，潜心于他的数学世界。
In a quiet afternoon，Descartes as usual sitting in the street, study math problems in the sun. When he was intoxicated in the world of mathematics, any things can cause interference to him. 一个宁静的午后，笛卡尔照例坐在街头，沐浴在阳光中研究数学问题。他如此沉溺于数学世界，身边过往的人群，喧闹的车马队伍。都无法对他造成干扰。
Suddenly, someone came to his side, patted him on the shoulder,
突然，有人来到他旁边，拍了拍他的肩膀，“你在干什么呢？”扭过头，笛卡尔看到一张年轻秀丽的脸庞，一双清澈的眼睛如湛蓝的湖水，楚楚动人，长长的睫毛一眨一眨的，期待着他的回应。她就是瑞典的小公主，国王最宠爱的女儿克里斯汀。
She squatted down body, took the math books and draft paper of Descartes, and talked with him. In the speech, he found that the little girl thought is agile, having great interest in mathematics.
她蹲下身，拿过笛卡尔的数学书和草稿纸，和他交谈起来。言谈中，他发现，这个小女孩思维敏捷，对数学有着浓厚的兴趣。
And the girl say goodbye after Descartes gradually forgotten it, still sitting on the street every day drawing.和女孩道别后，笛卡尔渐渐忘却了这件事，依旧每天坐在街头写写画画。
A few days later, he received a notice, the king hired him to do the little princess's math teacher. Mystified, Descartes followed to inform the guard came to the palace, wait in the lounge, he heard the sound of laughter from the distance. Turned around, he saw in
the street the day before yesterday day casual girl. Hurriedly, he hurriedly bowed their heads and salute. 几天后，他意外地接到通知，国王聘请他做小公主的数学老师。满心疑惑的笛卡尔跟随前来通知的侍卫一起来到皇宫，在会客厅等候的时候，他听到了从远处传来的银铃般的笑声。转过身，他看到了前儿天在街头偶遇的女孩子。慌忙中，他赶紧低头行礼。
From then on, he became the princess of the math teacher.
At that time, the continent is popular the black death. Shortly after the body weak
Descartes return to France, and severe disease. In life into the countdown of days, he miss the day still encounter that warm smiling faces. He write to her every day, looking forward to her reply. However, these letters were the king stopped, the princess had not received any news of him.
In cartesian send Christine thirteenth letter after he left the world forever. At this point, under house arrest in the palace of the little princess is still hovering in the corridors of the palace, thinking of distant lovers.
On the last letter didn't write a word, only one equation:
R = a (1 - sine theta).
Look not to understand, the king thought that this equation is hidden in the two skeleton in my closet, put the whole city mathematician summoned to the palace, but no one can solve the functional. He cannot bear to look at his beloved daughter unhappy every day, and gave the letter to her. To believe kristen ecstatic, she immediately understand the intention of lovers, find a pen and paper, set about graphics drew out the equation and a heart shaped pattern appeared in sight, kristen can't help but was moved to tears shed, this curve is the famous
Throne when the king died, Christine, after he began to reign, she immediately sent someone to France the whereabouts of looking for a beloved, received the news of the death is the cartesian, left a regret forever...
The alternative of love letter, this letter is famous in the world today, and save to Descartes's memorial in Europe.
In fact, Descartes and Christina is friendship. However, Descartes is on October 4, 1649 at the invitation of Christina came to Sweden, and Christina was already became the
queen of Sweden. And, Descartes and Christina mainly talking about philosophical issues. The data records, due to the queen Christina schedule is very tight, Descartes only five o 'clock in the morning with her philosophy is discussed in this paper. The cold weather and the overwork, make the cartesian unfortunately suffering from pneumonia, this is the cartesian the real cause of death.
Cardioid story part what is the true part is false, or left to your own judgement.
从此，他当上了公主的数学老师。
Princess of mathematics under the guidance of the cartesian by leaps and bounds, are becoming close up between them. Descartes introduced her to his new field of research - rectangular coordinate system. Through it, algebra and geometry can be combined, which is later Descartes created the prototype of analytic geometry.公主的数学在笛卡尔的悉心指导下突飞猛进，他们之间也开始变得亲密起来。笛卡尔向她介绍了他研究的新领域——直角坐标系。通过它，代数与几何可以结合起来，也就是日后笛卡尔创立的解析几何学的雏形。
Under the guidance of Descartes, kristen went into the wonderful world coordinates, she was fascinated with curve. Every day was like peas and carrots also made them from each other
在笛卡尔的带领下，克里斯汀走进了奇妙的坐标世界，她对曲线着了迷。每天的形影不离也使他们彼此产生了爱慕之心。
In Sweden the romantic country, a pure, beautiful love quietly germination.
However, before long, their relationship to the ears of the king. Great anger, the king ordered the cartesian executed immediately. Under the kristen begged the king to his exile to return home, the princess under house arrest in palaces.
在瑞典这个浪漫的国度里，一段纯粹、美好的爱情悄然萌发。
然而，没过多久，他们的恋情传到了国王的耳朵里。国王大怒，下令马上将笛卡尔处死。在克里斯汀的苦苦哀求下，国王将他放逐回国，公主被软禁在宫中。
当时，欧洲大陆正在流行黑死病。身体孱弱的笛卡尔回到法国后不久，便染上重病。在生命进入倒计时的那段日子，他日夜思念的还是街头偶遇的那张温暖的笑脸。他每天坚持给她写信，盼望着她的回音。然而，这些信都被国王拦截下来，公主一直没有收到他的任何消息。
在笛卡尔给克里斯汀寄出第十三封信后，他永远地离开了这个世界。此时，被软禁在宫中的小公主依然徘徊在皇宫的走廊里，思念着远方的情人。
这最后一封信上没有写一句话，只有一个方程：
r=a(1-sinθ)。
国王看不懂，以为这个方程里隐藏着两个人不可告人的秘密，便把全城的数学家召集到皇宫，但是没有人能解开这个函数式。他不忍看着心爱的女儿每天闷闷不乐，便把这封信给了她。拿到信的克里斯汀欣喜若狂，她立即明白了恋人的意图，找来纸和笔，着手把方程图形画了出来，一颗心形图案出现在眼前，克里斯汀不禁流下感动的泪水，这条曲线就是著名的“心形线”。
国王去世后，克里斯汀继承王位，登基后，她便立刻派人去法国寻找心上人的下落，收到的却是笛卡尔去世的消息，留下了一个永远的遗憾……
这封享誉世界的另类情书，至今，还保存在欧洲笛卡尔的纪念馆里。
事实上，笛卡尔和克里斯蒂娜的确有过交情。不过，笛卡尔是 1649 年 10 月 4 日应克里斯蒂娜邀请才来到的瑞典，并且当时克里斯蒂娜已经成为了瑞典女王。并且，笛卡尔与克里斯蒂娜谈论的主要是哲学问题。有资料记载，由于克里斯蒂娜女王时间安排很紧，笛卡尔只能在早晨五点与她探讨哲学。天气寒冷加上过度操劳让笛卡尔不幸患上肺炎，这才是笛卡尔真正的死因。
心形线的故事究竟几分是真几分是假，还是留给大家自己判断吧。