A280190 Base-60 (Babylonian or sexagesimal) expansion of sine of 3 degrees.

3, 8, 24, 33, 59, 34, 28, 14, 50, 5, 28, 29, 38, 47, 51, 57, 24, 25, 56, 50, 24, 30, 4, 12, 1, 50, 22, 37, 14, 19, 57, 37, 6, 18, 54, 32, 55, 20, 41, 45, 16, 27, 55, 52, 52, 7, 9, 20, 25, 8, 58, 18, 22, 58, 32, 34, 3, 2, 15, 27, 36, 33, 23, 19, 12, 48, 0, 33, 42, 3, 6, 1, 37, 1, 19, 21, 55, 46, 56

Offset: 1

Author

Mohammad K. Azarian, Jan 14 2017

Keywords

• nonn
• base
• cons

Comments

The Fifteenth Century Persian mathematician Jamshid Al-Kashi was the first to calculate the value of sine of one degree correct to ten sexagesimal places (17 decimal digits) from sine of 3 degrees in his Risala al-Watar wa'l Jaib.

Links

• Mohammad K. Azarian, A Study of Risa-la al-Watar wa'l Jaib ("The Treatise on the Chord and Sine"), Forum Geometricorum, Volume 15 (2015) 229-242. Mathematical Reviews, MR 3418854 (Reviewed), Zentralblatt MATH, Zbl 1328.01015.

Crossrefs

Cf. A019810, A019812, A049469, A110937, A280188, A280189.

Programs

Mathematica

RealDigits[Sin[3 Degrees], 60, 200][[1]]