Global Information Lookup Global Information

Sine quadrant information


A sine quadrant, known in Arabic as rub‘ul mujayyab

A sine quadrant (Arabic: الربع المجيب, romanized: rub‘ul mujayyab), sometimes known as a "sinecal quadrant", was a type of quadrant used by medieval Arabic astronomers. The instrument could be used to measure celestial angles, tell time, find directions, perform trigonometric computations, and determine the apparent positions of any celestial object for any time. The name is derived from the Arabic rub meaning 'a quarter' and mujayyab meaning 'marked with sine'.[1]

The sine quadrant was described by Muhammad ibn Mūsā al-Khwārizmī in 9th-century Baghdad, and was used throughout the medieval Islamic period to determine the proper times for Islamic prayer.[2] These instruments, with poor angular resolution, were not principally intended to function with stars at night as an astronomical measuring device.[citation needed] It is impractical to sight a star through the front aperture unless it is on a fixed, stabilized mount relative to the half degree width of a very intense Sun.

  1. ^ "Rub ul Mujayyab". cosmolabe.tripod.com. Retrieved 2021-09-05.
  2. ^ David A. King, "Islamic Astronomy", in Christopher Walker (1999), ed., Astronomy before the telescope, p. 167-168. British Museum Press. ISBN 0-7141-2733-7.

and 21 Related for: Sine quadrant information

Request time (Page generated in 0.7829 seconds.)

Sine quadrant

Last Update:

A sine quadrant (Arabic: الربع المجيب‎, romanized: rub‘ul mujayyab), sometimes known as a "sinecal quadrant", was a type of quadrant used by medieval Arabic...

Word Count : 947

Sine and cosine

Last Update:

trigonometric identities Sinc function Sine and cosine transforms Sine integral Sine quadrant Sine wave Sine–Gordon equation Sinusoidal model SOH-CAH-TOA...

Word Count : 5997

Trigonometric functions

Last Update:

the sign and the monotonicity of the functions sine, cosine, cosecant, and secant in the four quadrants, one can show that 2 π {\displaystyle 2\pi } is...

Word Count : 8994

Mnemonics in trigonometry

Last Update:

going through quadrants 4, 1, 2, then 3. ACTS still starts in quadrant 1 but goes clockwise going through quadrants 1, 4, 3, then 2. Sines and cosines of...

Word Count : 930

Islam in Slovakia

Last Update:

Library of Bratislava). Ibrahim al-Halabi (died 1776) is about the sine, quadrant and parallel circles; (Collection of Islamic Manuscripts in the University...

Word Count : 661

American University

Last Update:

Creates the Sine Institute of Policy and Politics American University, Washington, DC, September 24, 2018 "President Sylvia Burwell Announces Sine Institute...

Word Count : 6247

Astronomy in the medieval Islamic world

Last Update:

of quadrants were invented by Muslims. Among them was the sine quadrant used for astronomical calculations, and various forms of the horary quadrant used...

Word Count : 8089

List of inventors

Last Update:

(c. 780–850), Persia/Iran – algebra, mural instrument, horary quadrant, Sine quadrant, shadow square Johann Kiefuss – inventor in Nuremberg in 1517 Marcel...

Word Count : 11919

Timeline of transportation technology

Last Update:

streets of Baghdad are paved with tar.[citation needed] 9th century – The sine quadrant, was invented by Muhammad ibn Musa al-Khwarizmi in the 9th century at...

Word Count : 6427

Unit circle

Last Update:

for all points (x, y) on the unit circle, not only those in the first quadrant. The interior of the unit circle is called the open unit disk, while the...

Word Count : 1009

Versine

Last Update:

Look up versine  or versed sine in Wiktionary, the free dictionary. The versine or versed sine is a trigonometric function found in some of the earliest...

Word Count : 4467

Differentiation of trigonometric functions

Last Update:

of change with respect to a variable. For example, the derivative of the sine function is written sin′(a) = cos(a), meaning that the rate of change of...

Word Count : 3670

List of inventions in the medieval Islamic world

Last Update:

medieval Europe, where the word "syrup" was derived from Arabic. Sine quadrant: A type of quadrant used by medieval Arabic astronomers, it was described by Muhammad...

Word Count : 9550

Trigonometric tables

Last Update:

possible: for example, some early trigonometric tables used not sine and cosine, but sine and versine. A quick, but inaccurate, algorithm for calculating...

Word Count : 1648

Edmund Gunter

Last Update:

contributions, which include the invention of the Gunter's chain, the Gunter's quadrant, and the Gunter's scale. In 1620, he invented the first successful analogue...

Word Count : 1261

List of trigonometric identities

Last Update:

integral with a trigonometric identity. The basic relationship between the sine and cosine is given by the Pythagorean identity: sin 2 ⁡ θ + cos 2 ⁡ θ =...

Word Count : 12166

Outline of trigonometry

Last Update:

inequality Bhaskara I's sine approximation formula Greek astronomy Indian astronomy Jyā, koti-jyā and utkrama-jyā Madhava's sine table Ptolemy's table of...

Word Count : 706

Spherical trigonometry

Last Update:

identity of spherical trigonometry: all other identities, including the sine rule, may be derived from the cosine rule: cos ⁡ a = cos ⁡ b cos ⁡ c + sin...

Word Count : 6539

History of trigonometry

Last Update:

period, especially due to Aryabhata (sixth century CE), who discovered the sine function, cosine function, and versine function. When during the Middle Ages...

Word Count : 6310

Lemniscate elliptic functions

Last Update:

by Leonhard Euler and Carl Friedrich Gauss, among others. The lemniscate sine and lemniscate cosine functions, usually written with the symbols sl and...

Word Count : 22116

Pythagorean trigonometric identity

Last Update:

2π, the sine and cosine change signs in the various quadrants to keep x and y with the correct signs. The figure shows how the sign of the sine function...

Word Count : 2083

PDF Search Engine © AllGlobal.net