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The number π is a number that is equal to the ratio of the circumference of a circle to its diameter. The history of the number begins with an Egyptian papyrus from 2000 BC. The designation of the number comes from the Greek word perijerio "periphery", which means "circle". This notation was first used in 1706 by the English mathematician William Jones, but it became generally accepted after Leonhard Euler began to systematically use it (starting in 1736). According to experts, this number was discovered by Babylonian magicians. The Babylonians used only a rough approximation, defining the number “3”. The number was used in the construction of the famous Tower of Babel. However, insufficiently accurate calculation of the value led to the collapse of the entire project. “Twenty-two owls were bored on large dry branches. Twenty-two owls dreamed of seven big mice.” Archimedes proved that the number is the same for any circle. The mathematical method of Archimedes led to the knowledge of the geometric form, to which objects more or less approach, and the laws of which must be known if we want to influence the material world. Architecture appeared in Ancient Greece, and where there is architecture, there are calculations. Computing technology based on approximate calculations has flourished in China. An example is the calculation of the ratio of the circumference of a circle to its diameter by the Chinese mathematician Tzu Chun-chih (430-501), who obtained an approximation of 355/113, giving 7 correct significant figures, and showed that the number lies within the range: 3.1415296< < 3,1415297 Арьябхатта (родился 476 г.н.э.) нашел точное значение 3,1416 или 62832/20000. Число 377/120 вычислил Будхайян. Он в 6 веке дал варианты действий того, что известно как Теорема Пифагора. Число 3927/1250 вычислил Бхаскара (родился в 1114 г.н.э.) вычислил число. Со времен Петра I занимались геометрическими расчетами в астрономии, в машиностроении, в корабельном деле, в электротехнике. Для запоминания числа "Пи" было придумано двустишие. В учебнике Л.Ф.Магницкого "Арифметика" оно написано по правилам старой русской орфографии, по которой после согласной в конце слова обязательно ставился "мягкий" или "твердый" знак. Кто и шутя, и скоро пожелаетъ "Пи" узнать число - ужъ знаетъ. 1) Андриан Антонис - 6 точных десятичных знаков (в XVI в.); 2) Цзу Чун-чжи (Китай) - 7 десятичных знаков (V в.н.э.); 3) Франсуа Виет - 9 десятичных знаков; 4) Андриан ван Ромен - 15 десятичных знаков (1593г.); 5) аль-Каши - 17 знаков после запятой (XV в.) 6) Лудольф ван Келён - 20 десятичных знаков; 7) Лудольф ван Цейлену - 32 десятичных знаков (1596г.). В его честь число Пи было названо современниками "Лудольфово число". 8) Авраам Шарп - 72 десятичных знаков 9) З. Дазе - 200 десятичных знаков (1844г.) 10) Т. Клаузен - 248 десятичных знаков (1847г.) 11) Рихтер - 330 знаков, З. Дазе - 440 знаков и У.Шенкс - 513 знаков (1853г.) 1949 год - 2037 десятичных знаков 1958 год - 10000 десятичных знаков 1961 год - 100000 десятичных знаков 1973 год - 10000000 десятичных знаков 1986 год - 29360000 десятичных знаков 1987 год - 134217000 десятичных знаков 1989 год - 1011196691 десятичный знак 1991 год - 2260000000 десятичных знаков 1994 год - 4044000000 десятичных знаков 1995 год - 4294967286 десятичных знаков 1997 год - 51539600000 десятичных знаков 1999 год - 206158430000 десятичных знаков. 20 лет назад в музее Эксплораториуме (Сан-Франциско) устроили Праздник числа Эта дата совпала с днем рождения Альберта Эйнштейна - выдающегося ученого ХХ столетия. Главная церемония проходит в музее. Кульминация приходится на 1 час 59 минут 26 секунд после полудня. Участники праздника маршируют вдоль стен круглого зала, распевая песни о числе, а потом едят круглые пи-роги и пиццу, пьют на-пи-тки и играют в игры, которые начинаются на Пи-. В центре зала размещают латунную тарелку, на которой выгравировано число с первыми 100 знаками после запятой. Металлическая скульптура числа установлена на ступенях перед зданием в начале пешеходной зоны. Вычисление точного значения p во все века неизменно оказывалось тем блуждающим огоньком, который увлек за собой сотни, если не тысячи, несчастных математиков, затративших бесценные годы в тщетной надежде решить задачу, не поддававшуюся усилиям предшественников, и тем снискать себе бессмертие. Кэрролл Л. (Додгсон) Куда бы мы ни обратили свой взор, мы видим проворное и трудолюбивое число: оно заключено и в самом простом колесике, и в самой сложной автоматической машине. Кымпан Ф. "Что я знаю о кругах" (3,1416). "Это я знаю и помню прекрасно - "Пи" многие знаки мне лишни, напрасны" (3,14159265358) "Учи и знай в числе известном за цифрой цифру, как удачу, примечать" (3,14159265358). Гордый Рим трубил победу Над твердыней Сиракуз; Но трудами Архимеда Много больше я горжусь. Надо нынче нам заняться, Оказать старинке честь, Чтобы нам не ошибаться, Чтоб окружность верно счесть, Надо только постараться, И запомнить все как есть Три - четырнадцать пятнадцать - девяносто два и шесть! Математик и Козлик Делили пирог. Козлик скромно сказал: - Раздели его вдоль! - Тривиально! - сказал Математик. - Позволь, Я уж лучше Его разделю поперек! - Первым он ухватил Первый кус пирога. Но не плачьте, Был тут же наказан порок: "Пи" досталось ему (А какой в этом прок?!) А Козленку... Козленку достались Рога! Алгебра: - иррациональное и трансцендентное число. Тригонометрия: радианное измерение углов. Планиметрия: - длина окружности и её дуги; - площадь круга и его частей. Стереометрия: - объем шара и частей; объем цилиндра, конуса и усеченного конуса; - площадь поверхности цилиндра, конуса и сферы. Физика: - теория относительности; квантовая механика; - ядерная физика. Теория вероятностей: - формула Стирлинга для вычисления факториала Возможно, что эта математическая константа лежала в основе строительства легендарного Храма царя Соломона. В науке найдено соотношение, связывающее важнейшие константы: постоянную тонкой структуры, число и золотое отношение (Ф), вытекающее из чисел Фибоначчи. Астрономия. Космонавтика. Архитектура. Строительство. Машиностроение. Навигация. Кораблевождение. Физика. Электроника. Электротехника. Информационные технологии. Теория вероятностей. Отношение размаха рук человека к его росту равно 1,03: Английский математик Август де Морган назвал как-то "Пи" ":загадочным числом 3,14159, которое лезет в дверь, в окно и через крышу". А.В. Жуков "Вездесущее число ", "О числе ". Ф. Кымпан "История числа " Три, четырнадцать, пятнадцать, Девять, два, шесть, пять, три, пять. Чтоб наукой заниматься, Это каждый должен знать.

Slide 1

History of the number pi

Slide 2

The British mathematician William Jones first used the Greek letter designation for this number in 1706, and it became generally accepted after the work of Leonhard Euler in 1737. This designation comes from the initial letter of the Greek words περιφέρεια - circle, periphery and περίμετρος - perimeter.

Slide 3

Rational approximations - Archimedes (III century BC) - ancient Greek mathematician, physicist and engineer; - Aryabhata (5th century AD) - Indian astronomer and mathematician; - Zu Chongzhi (5th century AD) - Chinese astronomer and mathematician.
Archimedes
Aryabhata
Zu Chongzhi

Slide 4

Archimedes may have been the first to propose a mathematical method of calculation. To do this, he inscribed regular polygons in a circle and described it around it. Taking the diameter of a circle to be one, Archimedes considered the perimeter of the inscribed polygon as a lower bound for the circumference of the circle, and the perimeter of the circumscribed polygon as an upper bound. Considering a regular 96-gon, Archimedes estimated and suggested that π was approximately equal to 22/7 ≈ 3.142857142857143.

Slide 5

Zhang Heng in the 2nd century clarified the meaning of the number, proposing two equivalents: 1) 92/29 ≈ 3.1724...; 2) √10 ≈ 3.1622. Around 265 AD e. mathematician Liu Hui of the Wei kingdom provided a simple and accurate iterative algorithm for calculating π with any degree of accuracy. Later, Liu Hui came up with a quick calculation method and obtained an approximate value of 3.1416 with only a 96-gon, taking advantage of the fact that the difference in area of ​​the following one after another of polygons forms a geometric progression with a denominator of 4.

Slide 6

In the 480s, Chinese mathematician Zu Chongzhi demonstrated that π≈ 355/113 and showed that 3.1415926

Slide 7

Madhava was able to calculate π as 3.14159265359, correctly identifying 11 digits in the number's notation. This record was broken in 1424 by the Persian mathematician Jamshid al-Kashi, who in his work entitled “Treatise on the Circle” gave 17 digits of the number, of which 16 were correct.
Jamshid al-Kashi

Slide 8

The first major European contribution since Archimedes was that of the Dutch mathematician Ludolf van Zeijlen, who spent ten years calculating a number with 20 decimal digits (this result was published in 1596). Using Archimedes' method, he brought the doubling to an n-gon, where n = 60 229. Having outlined his results in the essay “On the Circle,” Ludolf ended it with the words: “Whoever has the desire, let him go further.” After his death, 15 more exact digits of the number were discovered in his manuscripts. Ludolf bequeathed that the signs he found be carved on his tombstone. In his honor, the number was sometimes called the "Ludolf number" or "Ludolf constant".

Slide 9

Around the same time, methods for analyzing and determining infinite series began to develop in Europe. The first such representation was Vieta's formula for approximating the number π. An outstanding record was set by the phenomenal counter Johann Dase, who in 1844, on the orders of C. F. Gauss, used Machin's formula to calculate 200 digits. The best result by the end of the 19th century was obtained by the Englishman William Shanks, who took 15 years to calculate 707 digits, although due to an error only the first 527 were correct.
William Shanks
K. F. Gauss
F. Viet

Slide 10

Theoretical advances in the 18th century led to an understanding of the nature of the number π, which could not be achieved through numerical calculation alone. Johann Heinrich Lambert proved irrationality in 1761, and Adrienne Marie Legendre proved irrationality in 1774. In 1735, the connection between prime numbers and π was established when Leonhard Euler solved the famous Basel problem, the problem of finding the exact value.
I. G. Lambert
A. M. Legendre

Slide 11

The world record for memorizing decimal places of π belongs to the Chinese Liu Chao, who in 2006 reproduced 67,890 decimal places without errors within 24 hours and 4 minutes. Also in 2006, the Japanese Akira Haraguchi said that he remembered the number up to the 100-thousandth decimal place, but this could not be officially verified.
Memorizing the number π In order for us not to make mistakes, we must read correctly: Three, fourteen, fifteen, ninety-two and six. You just have to try and remember everything as it is: Three, fourteen, fifteen, ninety-two and six.

Slide 12

Memorizing the numbers π Three, fourteen, fifteen, Nine, two, six, five, three, five. To do science, everyone should know this. You can just try and repeat more often: “Three, fourteen, fifteen, Nine, twenty-six and five.”

Slide 13

3,1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989
3.14159 - this is (3) I (1) know (4) and (1) very (5) wonderful (9)

American musician Michael Blake set to music a mathematical constant called Tau. The Tau number is twice the number Pi and is approximately equal to 6.283185. Michael Blake set Tau to music in the following way: he assigned the notes from one octave to the next octave numbers from 1 to 8. Blake then took a notation of the Tau number accurate to 126 decimal places and played it in accordance with the chosen note encoding. Next, the musician arranged the resulting melody. Previously, Blake set the number Pi itself to music, however, according to the musician, Tau sounds more harmonious.

Slide 17

The work was completed by: Anastasia Sukhanova, 6th grade student, Head of the “Mathematics Around Us” circle, Valentina Anatolyevna Alieva, mathematics teacher at the Municipal Educational Institution “Secondary School with. Bolshaya Fedorovka", Saratov region, Tatishchevsky district

Number π. What is this? The number π is a mathematical constant. The number π is a number that is equal to the ratio of the circumference of a circle to its diameter.

History of the number π The history of the number begins with an Egyptian papyrus in 2000 BC.

The notation for the number π The notation for the number π comes from the Greek word perijerio periphery, which means circle. This notation was first used in 1706 by the English mathematician William Jones, but it became generally accepted after Leonhard Euler began to systematically use it (starting in 1736).

Babylon and the number π According to experts, this number was discovered by Babylonian magicians. The Babylonians used only a rough approximation, defining π as the number 3. The number π was used in the construction of the famous Tower of Babel. However, insufficiently accurate calculation of the value of π led to the collapse of the entire project.

Archimedean number π Twenty-two owls were bored on large dry branches. Twenty-two owls dreamed of seven big mice

Greece and the number π Archimedes proved that the number π is the same for any circle. The mathematical method of Archimedes led to the knowledge of the geometric form, to which objects more or less approach, and the laws of which must be known if we want to influence the material world. Architecture appeared in Ancient Greece, and where there is architecture, there are calculations.

China and the number π Computer technology based on approximate calculations has flourished in China. An example is the calculation of the ratio of the circumference of a circle to its diameter by the Chinese mathematician Tzu Chun-chih (430-501), who obtained an approximation of 355/113, giving 7 correct significant figures, and showed that the number π lies in the range: 3.1415296 <,  <, 3.1415297

India and the number π Aryabhatta (born 476 AD) found the exact value to be 3.1416 or 62832/20000. The number 377/120 was calculated by Budhayan. He gave versions of what is known as the Pythagorean Theorem in the 6th century. The number 3927/1250 was calculated by Bhaskara (born in 1114 AD) calculated the number π.

Russia and the number π Since the time of Peter I, they have been engaged in geometric calculations in astronomy, mechanical engineering, shipbuilding, and electrical engineering. A couplet was invented to remember the number Pi. In the textbook by L.F. Magnitsky Arithmetic, it is written according to the rules of the old Russian orthography, according to which a soft or hard sign must be placed after a consonant at the end of a word. Whoever, jokingly and soon, wishes Pi to know the number - already knows.

Pursuit of signs 1) Andrian Antonis - 6 exact decimal places (in the 16th century), 2) Tzu Chun-chih (China) - 7 decimal places (5th century AD), 3) Francois Viet - 9 decimal places , 4) Adrian van Romen - 15 decimal places (1593), 5) al-Kashi - 17 decimal places (XV century) 6) Ludolf van Kelen - 20 decimal places, 7) Ludolf van Zeilen - 32 decimal places ( 1596). In his honor, the number Pi was named Ludolph's number by his contemporaries. 8) Abraham Sharp - 72 decimal places 9) Z. Daze - 200 decimal places (1844) 10) T. Clausen - 248 decimal places (1847) 11) Richter - 330 places, Z. Daze - 440 places and W. Shanks - 513 characters (1853)

The computer and the number π 1949 - 2037 decimal places 1958 - 10,000 decimal places 1961 - 100,000 decimal places 1973 - 10,000,000 decimal places 1986 - 29,360,000 decimal places 1987 - 134,217,000 decimal places 1 989 - 1011196691 decimal 1991 - 2260000000 decimal places 1994 - 4044000000 decimal places 1995 - 4294967286 decimal places 1997 - 51539600000 decimal places 1999 - 206158430000 decimal places.

Birthday of the number π 20 years ago, the Exploratorium Museum (San Francisco) held a Celebration of the Number π. This date coincided with the birthday of Albert Einstein, an outstanding scientist of the 20th century.

Celebration of the number π The main ceremony takes place in the museum. The climax occurs at 1 hour 59 minutes 26 seconds after noon. The participants of the holiday march along the walls of the round hall, singing songs about the number, and then eat round pie-rogs and pi-zza, drink na-pi-tki and play games that begin with Pi-. A brass plate is placed in the center of the hall, on which the number  is engraved with the first 100 decimal places.

Seattle Museum of Art A metal sculpture of a number is installed on the steps in front of the building at the beginning of the pedestrian area.

The great ones about the number π The calculation of the exact value of p in all centuries has invariably turned out to be that will-o'-the-wisp that carried away hundreds, if not thousands, of unfortunate mathematicians who spent invaluable years in the vain hope of solving a problem that defied the efforts of their predecessors, and thereby gaining immortality. Carroll L. (Dodgson) Wherever we turn our eyes, we see a nimble and industrious number: it is contained in the simplest wheel, and in the most complex automatic machine. Kimpan F.

Remembering the number π What do I know about circles (3.1416). This I know and remember perfectly - Pi many signs are unnecessary for me, in vain (3.14159265358) Learn and know in the number known behind the figure, note the figure as luck (3.14159265358).

S. Bobrov The magic bicorn Proud Rome trumpeted victory Over the stronghold of Syracuse, But I am much more proud of the works of Archimedes. We need to do something today, Do the old fashioned honor, So that we don’t make mistakes, So that we can count the circle correctly, We just have to try, And remember everything as it is Three - fourteen - fifteen - ninety-two and six!

Slide 2

The British mathematician William Jones first used the Greek letter designation for this number in 1706, and it became generally accepted after the work of Leonhard Euler in 1737. This designation comes from the initial letter of the Greek words περιφέρεια - circle, periphery and περίμετρος - perimeter.

Slide 3

Rational approximations - Archimedes (III century BC) - ancient Greek mathematician, physicist and engineer; - Aryabhata (5th century AD) - Indian astronomer and mathematician; - ZuChongzhi (5th century AD) - Chinese astronomer and mathematician. Archimedes Aryabhata ZuChongzhi

Slide 4

Archimedes may have been the first to propose a mathematical method of calculation. To do this, he inscribed regular polygons in a circle and described it around it. Taking the diameter of a circle to be one, Archimedes considered the perimeter of the inscribed polygon as a lower bound for the circumference of the circle, and the perimeter of the circumscribed polygon as an upper bound. Considering a regular 96-gon, Archimedes estimated and suggested that π was approximately equal to 22/7 ≈ 3.142857142857143.

Slide 5

ZhangHeng in the 2nd century clarified the meaning of the number, proposing two equivalents: 1) 92/29 ≈ 3.1724...; 2) √10 ≈ 3.1622. Around 265 AD e. mathematician LiuHui of the Wei Kingdom provided a simple and accurate iterative algorithm for calculating π with any degree of accuracy. Later, LiuHui came up with a fast calculation method and obtained an approximate value of 3.1416 with only a 96-gon, taking advantage of the fact that the difference in area of ​​successive other polygons forms a geometric progression with denominator 4.

Slide 6

In the 480s, Chinese mathematician ZuChongzhi demonstrated that π≈ 355/113 and showed that 3.1415926

Slide 7

Madhava was able to calculate π as 3.14159265359, correctly identifying 11 digits in the number's notation. This record was broken in 1424 by the Persian mathematician Jamshid al-Kashi, who in his work entitled “Treatise on the Circle” gave 17 digits of the number, of which 16 were correct. Jamshid al-Kashi

Slide 8

The first major European contribution since Archimedes was that of the Dutch mathematician Ludolfavan Zeilen, who spent ten years calculating a number with 20 decimal digits (this result was published in 1596). Using Archimedes' method, he brought the doubling to an n-gon, where n = 60 229. Having outlined his results in the essay “On the Circle,” Ludolf ended it with the words: “Whoever has the desire, let him go further.” After his death, 15 more exact digits of the number were discovered in his manuscripts. Ludolf bequeathed that the signs he found be carved on his tombstone. In his honor, the number was sometimes called the "Ludolf number" or "Ludolf constant".

Slide 9

Around the same time, methods for analyzing and determining infinite series began to develop in Europe. The first such representation was Vieta's formula for approximating the number π. An outstanding record was set by the phenomenal counter Johann Dase, who in 1844, on the orders of C. F. Gauss, used Machin's formula to calculate 200 digits. The best result by the end of the 19th century was obtained by the Englishman William Shanks, who took 15 years to calculate 707 digits, although due to an error only the first 527 were correct. William Shanks K. F. Gauss F. Vieth

Slide 10

Theoretical advances in the 18th century led to an understanding of the nature of the number π, which could not be achieved through numerical calculation alone. Johann Heinrich Lambert proved irrationality in 1761, and Adrienne Marie Legendre proved irrationality in 1774. In 1735, the connection between prime numbers and π was established when Leonhard Euler solved the famous Basel problem, the problem of finding the exact value. I. G. Lambert A. M. Legendre

Slide 11

The world record for memorizing decimal places of the number π belongs to the Chinese LiuChao, who in 2006 reproduced 67,890 decimal places without errors within 24 hours and 4 minutes. Also in 2006, the Japanese AkiraHaraguchi stated that he remembered the number up to the 100-thousandth decimal place, but this could not be officially verified. Memorizing the number π So that we do not make mistakes, We must read correctly: Three, fourteen, fifteen, Ninety-two and six. We just need to try and remember everything as it is: Three, fourteen, fifteen, Ninety-two and six.

Slide 12

Memorizing the number π Three, fourteen, fifteen, Nine, two, six, five, three, five. To do science, everyone should know this. You can just try and repeat more often: “Three, fourteen, fifteen, Nine, twenty-six and five.” .

Slide 13

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 4428810975 6659334461 28 47564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 96282 92540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 31051185 48 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7 669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201 995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 ​​5024459455 3469083 026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989 3.14159- this is (3) I (1) know (4) and (1) very (5) wonderful (9)

Slide 1

The presentation was made by a student of 11th grade B of secondary school No. 16 Oseeva Alexandra. Supervisor Ivantsova E.A.

Slide 2

Pi is a mathematical constant equal to the ratio of the circumference of a circle to its diameter. The number pi is irrational and transcendental, the digital representation of which is an infinite non-periodic decimal fraction - 3.141592653589793238462643... and so on ad infinitum.

Slide 3

The history of the number P, which expresses the ratio of the circumference of a circle to its diameter, began in Ancient Egypt. The area of ​​a circle with diameter d was determined by Egyptian mathematicians as (d-d/9)2 (this notation is given here in modern symbols). From the above expression we can conclude that at that time the number p was considered equal to the fraction (16/9)2, or 256/81, i.e. p = 3.160...

Slide 4

Archimedes in the 3rd century. BC. in his short work “Measuring a Circle” he substantiated three propositions: Every circle is equal in size to a right triangle, the legs of which are respectively equal to the length of the circle and its radius; The areas of a circle are related to the square built on the diameter as 11 to 14; The ratio of any circle to its diameter is less than 3 1/7 and greater than 3 10/71.

Slide 5

The British mathematician Jones first used the Greek letter designation for this number in 1706, and it became generally accepted after the work of Leonhard Euler in 1737. This designation comes from the initial letter of the Greek words περιφέρεια - circle, periphery and περίμετρος - perimeter.

Slide 6

Pi Day is celebrated by some mathematicians on March 14 at 1:59 (in the American date system - 3/14; the first digits of the number π = 3.14159). It is usually celebrated at 1:59 pm (in the 12-hour system), but those who adhere to the 24-hour light time system consider it to be 1:59 pm and prefer to celebrate at night. At this time, they read eulogies in honor of the number pi, its role in the life of humanity, draw dystopian pictures of a world without pi, eat pie, drink drinks and play games starting with “pi”. Albert Einstein was born on March 14, Pi Day. The day of the approximate value of pi is also celebrated - July 22 (22/7).

Slide 7

The way to calculate pi is to use formulas with an infinite number of terms. For example: π = 2 2/1 (2/3 4/3) (4/5 6/5) (6/7 8/7) ... π = 4 (1/ 1 – 1/3) + (1/5 – 1/7) +(1/9 – 1/11) + ...

Slide 8

In what personality Pi is personified today is not clear, but in order to see the meaning of this number for our world, you don’t need to be a mathematician: Pi manifests itself in everything that surrounds us. And this, by the way, is very typical for any intelligent being, which, without a doubt, is Pi!