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2. Zu Chongzhi - Wikipedia

   en.wikipedia.org/wiki/Zu_Chongzhi

   Hence Mikami strongly urged that the fraction ⁠ 355 / 113 ⁠ be named after Zu Chongzhi as Zu's fraction. [7] In Chinese literature, this fraction is known as "Zu's ratio". Zu's ratio is a best rational approximation to π, and is the closest rational approximation to π from all fractions with denominator less than 16600. [8]

3. Pi - Wikipedia

   en.wikipedia.org/wiki/Pi

   The number π (/ p aɪ /; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.The number π appears in many formulae across mathematics and physics.

4. Proof that 22/7 exceeds π - Wikipedia

   en.wikipedia.org/wiki/Proof_that_22/7_exceeds_π

   Proofs of the mathematical result that the rational number ⁠ 22 / 7 ⁠ is greater than π (pi) date back to antiquity. One of these proofs, more recently developed but requiring only elementary techniques from calculus, has attracted attention in modern mathematics due to its mathematical elegance and its connections to the theory of Diophantine approximations.

5. Approximations of π - Wikipedia

   en.wikipedia.org/wiki/Approximations_of_π

   S n is the approximation after taking n terms. Each subsequent subplot magnifies the shaded area horizontally by 10 times. (click for detail) He used the first 21 terms to compute an approximation of π correct to 11 decimal places as 3.141 592 653 59. He also improved the formula based on arctan(1) by including a correction:

6. Area of a circle - Wikipedia

   en.wikipedia.org/wiki/Area_of_a_circle

   Thus all three corresponding sides are in the same proportion; in particular, we have C′A : C′C = C′P : C′A and AP : C′A = CA : C′C. The center of the circle, O, bisects A′A, so we also have triangle OAP similar to A′AB, with OP half the length of A′B. In terms of side lengths, this gives us

7. Piphilology - Wikipedia

   en.wikipedia.org/wiki/Piphilology

   us! quick-minds, free-minds, minds-we-never-mind, unknown, gyrate! neuro-rhymes measure our minds, for our minds rhyme. crude ego-emanations distort nodes. id, (whose basic neuro-spacetime rhymes), plays its tune. space drones before fate unites dreams’ lore to unsung measures. whole dimensions gyrate. new number-games donate quick minds &

8. List of mathematical constants - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_constants

   The following list includes the continued fractions of some constants and is sorted by their representations. Continued fractions with more than 20 known terms have been truncated, with an ellipsis to show that they continue. Rational numbers have two continued fractions; the version in this list is the shorter one.

9. Leibniz formula for π - Wikipedia

   en.wikipedia.org/wiki/Leibniz_formula_for_π

   In mathematics, the Leibniz formula for π, named after Gottfried Wilhelm Leibniz, states that = + + = = +,. an alternating series.. It is sometimes called the Madhava–Leibniz series as it was first discovered by the Indian mathematician Madhava of Sangamagrama or his followers in the 14th–15th century (see Madhava series), [1] and was later independently rediscovered by James Gregory in ...