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2. Magic circle (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Magic_circle_(mathematics)

   Magic circle (mathematics) Yang Hui's magic concentric circles – numbers on each circle and diameter (ignoring the middle 9) sum to 138. Magic circles were invented by the Song dynasty (960–1279) Chinese mathematician Yang Hui (c. 1238–1298). It is the arrangement of natural numbers on circles where the sum of the numbers on each circle ...

3. Babylonian mathematics - Wikipedia

   en.wikipedia.org/wiki/Babylonian_mathematics

   Babylonian mathematics (also known as Assyro-Babylonian mathematics) [1][2][3][4] is the mathematics developed or practiced by the people of Mesopotamia, as attested by sources mainly surviving from the Old Babylonian period (1830–1531 BC) to the Seleucid from the last three or four centuries BC. With respect to content, there is scarcely any ...

4. Semicircle - Wikipedia

   en.wikipedia.org/wiki/Semicircle

   Semicircle. πr 2 / 2 ⁠. In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180° (equivalently, π radians, or a half-turn). It only has one line of symmetry (reflection symmetry). In non-technical usage, the term "semicircle" is ...

5. Farey sequence - Wikipedia

   en.wikipedia.org/wiki/Farey_sequence

   For every fraction ⁠ p / q ⁠ (in its lowest terms) there is a Ford circle C[⁠ p / q ⁠], which is the circle with radius 1/(2q 2) and centre at (⁠ p / q ⁠, ⁠ 1 / 2q 2 ⁠). Two Ford circles for different fractions are either disjoint or they are tangent to one another—two Ford circles never intersect.

6. Continued fraction - Wikipedia

   en.wikipedia.org/wiki/Continued_fraction

   A finite regular continued fraction, where is a non-negative integer, is an integer, and is a positive integer, for . A continued fraction is a mathematical expression that can be writen as a fraction with a denominator that is a sum that contains another simple or continued fraction. Depending on whether this iteration terminates with a simple ...

7. Mathematics - Wikipedia

   en.wikipedia.org/wiki/Mathematics

   Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study ...