Quadrature of the circle (1972)

The Hoop rotates on the hand.

The girl rotates the Hoop on the wrist, forearm, belt.

Measuring a tape measure of a Hoop with a diameter of 1 meter and a circumference of 3 meters 14 centimeters.(animation).

The number " PI " in the sand.

Measuring the diameter and circumference of the grinding wheel with a tape measure (animation).

The calculation of the constant number "PI".

Symbol of the number "PI".

View of the Museum corridor, busts along the walls.

View of the Museum hall.

Mathematical record on a 4000-year-old papyrus about the ratio of diameter and circumference.

Writing on papyrus.

Ancient Egyptian image of the Pharaoh and the mathematician.

Opening diagram for calculating the area of a square and a triangle (animation).

Squares don't fit in a circle.

Making pottery on a Potter's wheel.

Round grindstones lying on the table.

The neck of the vessel.

A vase and a round wicker basket.

Round coin with a double-headed eagle.

Map of Ancient Greece with architectural monuments marked on it, checking the shapes of ancient buildings with geometric shapes (animation).

The city of Syracuse on the map.

Straight lines, squares, and circles in ancient Greek architecture.

Objects that have a circle in their shape lie on the table, separating the round spatial shape from specific bodies.

Drawn circle.

Image of the problem of solving the quadrature of a circle (animation).

Proofs of equality of the area of a circle to the area of a right triangle (animation).

The calculation and derivation of the formula for the circumference of a circle.

Symbol of the number " PI " in the circle.

Portrait Of Archimedes.

The sequence of solving the quadrature of a circle by Archimedes (animation).

The approximate value of the number "PI" specified by Archimedes.

Mosaic depicting Archimedes and a Roman soldier.

Images of medieval castles.

Game shots: medieval monks solve the squaring of a circle.

Monks cut figures out of paper and make notes with a quill pen.

Measuring the diameter of a circle with a compass.

The monks weigh a circle and a square cut out of paper on a scale and try to solve the problem with the help of material figures.

The crucifix on the wall.

Monks draw circles, cut out geometric shapes from paper, the lattice on the window of the cell.

Creating a drawing for solving the quadrature of a circle in the 17th century (animation).

Drawings of solutions to the quadrature of the circle by scientists of the 17th and 18th centuries, titles of scientific papers on the solution of this problem.

The growing importance of the number "PI", photos of races at the Olympic games.

Rotation of the Hoop on the hand.

The formula of the infinitesimal calculus.

Examples of formulas for calculating the number "PI".

The girl at the bookshelf.

File from the Archive of the USSR Academy of Sciences with calculations by Leonhard Euler.

Euler's notes on the results of his research.

A girl is looking at one of Euler's works.

Pages with calculations of the number "PI" made by Euler.

Bookmark punch cards in the computer.

Type of working computer.

Processing of punch cards on a computer.

The number " PI " on the computer display.

Printout of the results of calculations of the computer.

Pages of Euler's work.

Euler formula.

Image of the bust of Euler in profile.

View of the set, actors playing the role of monks, ha!.

One of the actors talks about Euler's work on calculating the number "PI" and solving the quadrature of a circle (synchronously).

The text of Lindeman's article, where it is proved that the number " PI " is transcendental.

Pointers fall on the lines.

The girl throws pointers.

The number " PI " in Dufont's formula.

A bowl with a burning candle stub rotates on a Potter's wheel.

Movement around the circle of the red dot.

Diagram of an abstract expression of the idea of a circle.

Equation of an abstract expression of the idea of a circle.

Oruch rotates on the hand.