“Circles in a Circle” is a compact and closed composition. Kandinsky began a thoughtful study of the circle as an artistic unit starting from this painting. In his letter to Galka Scheyer he wrote, “it is the first picture of mine to bring the theme of circles to the foreground.” The outer black circle, as if the second frame for a picture, encourages us to focus on the interaction between the inside circles, and two intersecting diagonal stripes enhance the effect, adding a perspective to the composition.
1923
Geometric abstraction
Oil on canvas
38.9 × 37.6" (98.7 × 95.6 cm)
https://www.wassilykandinsky.net/work-247.php
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of the circle and the centre is called the radius. The length of a line segment connecting two points on the circle and passing through the centre is called the diameter. A circle bounds a region of the plane called a disc.
The circle has been known since before the beginning of recorded history. Natural circles are common, such as the full moon or a slice of round fruit. The circle is the basis for the wheel, which, with related inventions such as gears, makes much of modern machinery possible. In mathematics, the study of the circle has helped inspire the development of geometry, astronomy and calculus.
Prehistoric people made stone circles and timber circles, and circular elements are common in petroglyphs and cave paintings. Disc-shaped prehistoric artifacts include the Nebra sky disc and jade discs called Bi.
The Egyptian Rhind papyrus, dated to 1700 BCE, gives a method to find the area of a circle. The result corresponds to 256/81 (3.16049...) as an approximate value of π.
Book 3 of Euclid's Elements deals with the properties of circles. Euclid's definition of a circle is:
A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain point within it to the bounding line, are equal. The bounding line is called its circumference and the point, its centre.
— Euclid, Book I, Elements
In Plato's Seventh Letter there is a detailed definition and explanation of the circle. Plato explains the perfect circle, and how it is different from any drawing, words, definition or explanation. Early science, particularly geometry and astrology and astronomy, was connected to the divine for most medieval scholars, and many believed that there was something intrinsically "divine" or "perfect" that could be found in circles.
In 1880 CE, Ferdinand von Lindemann proved that π is transcendental, proving that the millennia-old problem of squaring the circle cannot be performed with straightedge and compass.
With the advent of abstract art in the early 20th century, geometric objects became an artistic subject in their own right. Wassily Kandinsky in particular often used circles as an element of his compositions.
