Why is pi related to the Chinese calendar, know if you can say it clearly 20

1. Pi is related to arithmetic and is a category of mathematics.

During the Northern and Southern Dynasties, the pi of the ancestor Chongzhi of the Southern Qi Dynasty was said to be "the most refined in the world in the fifth century, and it was beyond the reach of India, Europe and the West at that time, which was enough to look down on the world." [See Mr. Mao Yisheng's article "A Brief History of Pi in China", published in Science Magazine, Vol. 3, No. 4].

His original idea is said to have been "first discussed in 1573 by the German Valentinonotto, and more than a thousand years after me." [See Li Yan's "History of Chinese Arithmetic"].

2. Knowledge of the astronomical calendar, his first contribution was the production of the "Da Ming Calendar".

Zu Chongzhi (429-500), a native of Fanyang Prefecture (now Laishui, Hebei), was a great mathematician, astronomer, and machine builder during the Northern and Southern Dynasties of China. Many people know Zu Chongzhi's name because he was the first person in the world to correctly calculate pi to seven decimal places. However, Zu Chongzhi's contribution to the Chinese calendar is also outstanding, these contributions are concentrated in his compilation of the "Ming Calendar", in 463 A.D. he wrote the Ming calendar, which has many innovations, and is one of the most famous calendars in ancient China.

Therefore, pi is related to Zu Chongzhi; The Chinese calendar is also related to Zu Chongzhi, but there is no necessary relationship between pi and the Chinese calendar, and it can only be said that it is an arithmetic problem.

The calendar is based on the rotation of the earth to calculate people. It has nothing to do with pi.

The number of the new day, the number of the sun, and the positive number (pi) are between the two limits of the sun.

Qing Dai Zhen's "Picture" scroll: "The number of the circle is three zhang one foot four inches one minute five milliseconds two seconds seven flicker, the number of three zhang one foot four inches one minute five cents nine milli seconds six flicker, the positive number is between the two limits of the surplus and the flicker."

It seems to be related to the "sugar water" inequality in current high school mathematics, which the ancients called the "sun-adjusting method".

01 Pi is generally represented by Greek letters. More than 1,500 years ago, Zu Chongzhi of the Northern and Southern Dynasties calculated that the value of pi was between and and came up with two approximations expressed as fractions: the approximate rate was 22 7, and the density rate was 355 113.

History of pi: More than 1,500 years ago, Zu Chongzhi of the Northern and Southern Dynasties calculated that the value of pi was between and and came up with two approximations expressed as fractions: the approximate rate was 22 7, and the density rate was 355 113.

Pi is the ratio of the circumference of a circle to its diameter, generally represented by Greek letters, and is a mathematical constant that is prevalent in mathematics and physics. It is also equal to the ratio of the area of the circle to the square of the radius, and is the key value for accurately calculating the circumference of the circle, the area of the circle, the volume of the sphere and other geometric shapes. In analytics, it can be strictly defined as the smallest positive real number x satisfying sinx=0.

Pi is represented by the Greek letter (pronounced pài) and is a constant (approximately equal to, representing the ratio of the circumference to the diameter of a circle. It is an irrational number, i.e., an infinite non-cyclic decimal. In daily life, it is common to approximate the approximate rate of pi.

Ten decimal places is sufficient for general calculations. Even the most sophisticated calculations for engineers or physicists can be taken to a few hundred decimal places.

Historical development of pi:

1. China. During the Wei and Jin dynasties, Liu Hui used the method of gradually increasing the number of sides of a regular polygon to approximate the circumference (i.e., circumcision) to obtain the approximate value of t. During the Han Dynasty, Zhang Heng derived the square divided by 16 equals 5 8, that is, equal to 10 square (approx. Although this value is not very accurate, it is easy to understand, so it has also become popular in Asia for a while.

Wang Fan (229-267) discovered another value of pi, which is, but no one knows how he found it. In the 5th century AD, Zu Chongzhi and his son used a regular 24576 polygon to find pi about 355 113, which is less than 1 in 800 million compared with the true value. It took a thousand years to break this record.

2. India. Around 530 A.D., the mathematician Ayebodo used the circumference of a 384-sided polygon to calculate that pi was about the root number. Brahmangupta used a different method to deduce the square root of pi equal to 10.

3. Europe. Fibonacci calculated that pi was about.

Using Archimedes' method, Veda calculated< He was also the first person to describe pi in terms of an infinite product.

Rudolf Vankoren calculates pi with 35 decimal places from a polygon with more than 320000000000 sides.

Wallace came up with a formula in 1655.

Vultures 2=2 2 4 4 6 6 8 8..../3×3×5×5×7×7×9×9...

Euler's discovery that the power of it plus 1 of e is equal to o, which becomes an important basis for proving that it is a transcendent number.

There is no history, because time is history, and the time that has been experienced at present is too short to be called history.

An ancient Babylonian stone plaque (circa 1900-1600 BC) clearly states that pi = 25 8 = .

An ancient Egyptian artifact from the same period, the Rhind Mathematical Papyrus, also indicates that pi is equal to the square of the fraction 16 9, approximately equal to.

The Egyptians knew pi much earlier. The British writer John Taylor (1781 1864) wrote in his famous book The Greatest Pyramid: Why Was It Built, and Who Built It?

It is pointed out that the pyramid of Khufu, built around 2500 BC, is related to pi.

For example, the ratio of the circumference and height of a pyramid is equal to twice the ratio of pi and exactly equal to the ratio of the circumference and radius of the circle. The ancient Indian religious magnum opus, the Satapatha Brahmana, written between 800 and 600 B.C., shows that pi is equal to the fraction 339 108, which is approximately equal to.

Zu Chongzhi's outstanding achievement in mathematics is about the calculation of pi Before the Qin and Han dynasties, people to"Trail three times a week"As pi, this is"Ancient rate"Later, it was found that the error of the paleorate was too large, and the pi should be"The circle diameter is more than three days", but how much is left, opinions differ Until the Three Kingdoms period, Liu Hui proposed a scientific method for calculating pi"Circumcision", use the circumference of the circle inscribed regular polygon to approximate the circumference of the circle Liu Hui calculates that the circle is inscribed with 96 polygons, and obtains =, and points out that the more sides of the inscribed regular polygon, the more accurate the value obtained Zu Chongzhi on the basis of the achievements of his predecessors, after hard study and repeated calculations, found the approximate value between and and obtained the approximate value in the form of fractions, taking 22 7 as the approximate rate and 355 133 as the dense ratio, of which 355 133 takes six decimal places, which is the fraction with the closest value of the numerator denominator within 1000 What method Zu Chongzhi used to arrive at this result is now impossible to examine if he is supposed to follow Liu Hui's"Circumcision"If you want to find this method, you have to calculate that the circle is connected with 16,384 polygons, which requires a lot of time and labor! It can be seen that his tenacious perseverance and intelligence in his scholarship are admirable Zu Chongzhi's calculation of the dense rate, it has been more than a thousand years since foreign mathematicians achieved the same result In order to commemorate Zu Chongzhi's outstanding contributions, some foreign historians of mathematics have suggested that = be called"Ancestral rate"．

Zu Chongzhi read the famous classics at that time, insisted on seeking truth from facts, he compared and analyzed a large number of materials from his own measurement and calculation, found the serious errors of the past calendar, and had the courage to improve, and at the age of 33, he successfully compiled the "Ming Calendar", opening up a new era in the history of the calendar

Zu Chongzhi also worked with his son Zu Xuan (also a famous mathematician in China) to solve the calculation of the volume of the sphere with ingenious methods One of the principles they adopted at that time was:"If the power potential is the same, the product cannot be different"That is, two three-dimensional dimensions located between two parallel planes are truncated by any plane parallel to these two planes, and if the areas of the two cross-sections are constantly equal, then the volume of the two three-dimensional dimensions is equal This principle is called Cavaleri's principle in Spanish, but it was discovered by Cavaleri more than a thousand years after Zu In order to commemorate the great contribution of Zu's father and son in discovering this principle, everyone also calls this principle"The principle of ancestry"．

Internationally, people are accustomed to using symbols to represent pi. In 1600, William Ortolan of England first used to represent pi, his reason is that because it is the first letter of the Greek circumference, Ottolante used it to indicate the circumference of the circle, but the first letter of the Greek diameter, Ottolante used it to represent the diameter, according to the definition of pi, the theory should be used to represent pi, but in the process of calculating pi, people often use a circle with a diameter of 1, that is, Ling = 1, so that it is equal to . In 1706, Jones in England first switched to the expression pi, which was later widely accepted by mathematicians and has been used to this day.

First of all, you need to figure out: what is pi? What is a positive 6x2 side ratio?

Pi refers to the ratio of circumference to diameter of a circle as 6+2 3:3.

The so-called pi is the ratio of the circumference of the regular 6x2 polygon to the diagonal line passing through the center point according to the ancients, which should be called the regular 6x2 marginal ratio.

What is the value of the positive 6x2 edge ratio corresponds to the number of n one-to-one, not equal to pi.

Pi was not invented by one person, but was calculated by many mathematicians after countless calculations. The first person to calculate the value of pi was Archimedes, who calculated pi by using the circumference of the circumscribed and inscribed regular polygons of the circle, and later Zu Chongzhi also further derived the result of 7 decimal places of pi.

Pi (Pi) is the ratio of the circumference of a circle to its diameter, generally represented by Greek letters, and is a mathematical constant that is common in mathematics and physics. It is also equal to the ratio of the area of the circle to the square of the radius. It is the key value to accurately calculate the geometric shape of the circumference, area of the circle, and the volume of the sphere.

In analytics, it can be strictly defined as the smallest positive real number x satisfying sinx=0.

Pi is represented by the Greek letter (pronounced pài) and is a constant (approximately equal to, representing the ratio of the circumference to the diameter of a circle. It is an irrational number, i.e., an infinite non-cyclic decimal. In daily life, it is common to approximate the approximate rate of pi.

Ten decimal places is sufficient for general calculations. Even an engineer or physicist would be able to perform more sophisticated calculations to a few hundred decimal places at best.

In 1965, the British mathematician John Wallis published a mathematical treatise in which he derived a formula that found pi to be equal to the product of the multiplication of infinite fractions. In 2015, scientists at the University of Rochester discovered the formula for the same difference in pi in quantum mechanical calculations of the energy levels of hydrogen atoms.

On March 14, 2019, Google announced that pi is now in trillions of decimal places.

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