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Abu Arrayhan Muhammad ibn Ahmad al-Biruni Born: 15 Sept 973 in Kath, Khwarazm (now Kara-Kalpakskaya, Uzbekistan) Died: 13 Dec 1048 in Ghazna (now Ghazni, Afganistan) Abu Rayhan al-Biruni was born in Khwarazm, a region adjoining the Aral Sea now known as Karakalpakstan. The two major cities in this region were Kath and Jurjaniyya. Al-Biruni was born near Kath and the town were he was born is today called Biruni after the great scholar. He lived both in Kath and in Jurjaniyya as he grew up and we know that he began studies a t a very early age under the famous astronomer and mathematician Abu Nasr Mansur. Certainly by the age of seventeen al-Biruni was engaged in serious scientific work for it was in 990 that he computed the latitude of Kath by observing the maximum altitude of the sun. Other work which al-Biruni undertook as a young man was more theoretical. Before 995 (when he was 22 years old) he had written a number of short works. One which has survived is his Cartography which is a work on map projections. As well as describing his own projection of a hemisphere onto a plane, al-Biruni showed that by the age of 22 he was already extremely well read for he had studied a wide selection of map projections invented by others and he discusses them in the treatise. The comparative ly quiet life that al-Bi runi led up to this point was to come to a sudden end. It is interesting to speculate on how different his life, and contribution to scholarship, might have been but for the change in his life forced by the political events of 995. The end of the 10 th century and beginning of the 11 th century was a period of great unrest in the Is lamic world and there were civil wars in the region in which al-Biruni was living. Khwarazm was at this time part of the Samanid Empire which ruled from Bukhara. Other states in the region were the Ziyarid state with its capital at Gurgan on the Caspian sea. Further west, the Buwayhid dynasty ruled over the area between the Caspian sea and the Persian Gulf, and over Mesopotamia. Another kingdom which was rapidly rising in influence was the Ghaznavids whose capital was at Ghazna in Afghanistan, a kingdom which was to play a major role in al-Biruni's life. The Banu Iraq were the rulers of the Khwarazm region and Abu Nasr Mansur, al-Biruni's teacher, was a prince of that family. In 995 the rule by the Banu Iraq was overthrown in a coup. Al-Biruni fled at the outbreak of the civil war but it is less clear what happened to his teacher Abu Nasr Mansur at this stage. Describing these events later al-Biruni wrote [1]:- After I had barely settled down for a few years, I was permitted by the Lord of Time to go back home, but I was compelled to participate in worldly affairs, which excited the envy of fools, but which made the wise pity me. Exactly where al-Biruni went when he fled from Khwarazm is unclear. He might have gone to Rayy (near to where the city of Tehran stands today) at this time, but certainly he was there at some time during the following few years. He writes that he was without a patron when in Rayy, and lived in poverty. al-Khujandi was an astronomer who was working with a very large instrument he had built on the mountain above Rayy to observe meridian transits of the sun near the solstices. He made observations on 16 and 17 Jun e 994 for the summer solstice and 14 and 17 December 994 for the winter solstice. From these values he calculated the obliquity of the ecliptic, and the latitude of Rayy but neither are particularly accurate. Al-Khujandi discussed these observations, and his large sextant, with al-Biruni who later reported on them in his Tahdid where he claimed that the aperture of the sextant settled by about one span in the course of al-Khujandi's observations due to the weight of the instrument. Al-Biruni is almost certainly correct in pi npointing the cause of al-Khujandi's errors. Since al-Khujandi died in 1000, we can be fairly certain that al-Biruni spent part of the time between 995 and 997 at Rayy. He must also have spent part of this time in Gilan, which is bordered by the Caspian Sea on the north, for around this time he

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Abu Arrayhan Muhammad ibn Ahmadal-Biruni

Born: 15 Sept 973 in Kath, Khwarazm (now Kara-Kalpakskaya, Uzbekistan)Died: 13 Dec 1048 in Ghazna (now Ghazni, Afganistan)

Abu Rayhan al-Biruni was born in Khwarazm, a region adjoining the Aral Sea now known asKarakalpakstan. The two major cities in this region were Kath and Jurjaniyya. Al-Biruni was born nearKath and the town were he was born is today called Biruni after the great scholar. He lived both in Kathand in Jurjaniyya as he grew up and we know that he began studies at a very early age under the famousastronomer and mathematician Abu Nasr Mansur. Certainly by the age of seventeen al-Biruni wasengaged in serious scientific work for it was in 990 that he computed the latitude of Kath by observingthe maximum altitude of the sun.

Other work which al-Biruni undertook as a young man was more theoretical. Before 995 (when he was22 years old) he had written a number of short works. One which has survived is his Cartographywhich is a work on map projections. As well as describing his own projection of a hemisphere onto aplane, al-Biruni showed that by the age of 22 he was already extremely well read for he had studied awide selection of map projections invented by others and he discusses them in the treatise. Thecomparatively quiet life that al-Biruni led up to this point was to come to a sudden end. It is interesting tospeculate on how different his life, and contribution to scholarship, might have been but for the changein his life forced by the political events of 995.

The end of the 10th century and beginning of the 11th century was a period of great unrest in the Islamicworld and there were civil wars in the region in which al-Biruni was living. Khwarazm was at this timepart of the Samanid Empire which ruled from Bukhara. Other states in the region were the Ziyarid state

with its capital at Gurgan on the Caspian sea. Further west, the Buwayhid dynasty ruled over the areabetween the Caspian sea and the Persian Gulf, and over Mesopotamia. Another kingdom which wasrapidly rising in influence was the Ghaznavids whose capital was at Ghazna in Afghanistan, a kingdomwhich was to play a major role in al-Biruni's life.

The Banu Iraq were the rulers of the Khwarazm region and Abu Nasr Mansur, al-Biruni's teacher, was aprince of that family. In 995 the rule by the Banu Iraq was overthrown in a coup. Al-Biruni fled at theoutbreak of the civil war but it is less clear what happened to his teacher Abu Nasr Mansur at this stage.Describing these events later al-Biruni wrote [1]:-

After I had barely settled down for a few years, I was permitted by the Lord of Time to goback home, but I was compelled to participate in worldly affairs, which excited the envy of 

fools, but which made the wise pity me.

Exactly where al-Biruni went when he fled from Khwarazm is unclear. He might have gone to Rayy(near to where the city of Tehran stands today) at this time, but certainly he was there at some timeduring the following few years. He writes that he was without a patron when in Rayy, and lived inpoverty. al-Khujandi was an astronomer who was working with a very large instrument he had built onthe mountain above Rayy to observe meridian transits of the sun near the solstices. He madeobservations on 16 and 17 June 994 for the summer solstice and 14 and 17 December 994 for the wintersolstice. From these values he calculated the obliquity of the ecliptic, and the latitude of Rayy but neitherare particularly accurate.

Al-Khujandi discussed these observations, and his large sextant, with al-Biruni who later reported onthem in his Tahdid where he claimed that the aperture of the sextant settled by about one span in thecourse of al-Khujandi's observations due to the weight of the instrument. Al-Biruni is almost certainlycorrect in pinpointing the cause of al-Khujandi's errors. Since al-Khujandi died in 1000, we can be fairlycertain that al-Biruni spent part of the time between 995 and 997 at Rayy. He must also have spent partof this time in Gilan, which is bordered by the Caspian Sea on the north, for around this time he

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dedicated a work to the ruler of Gilan, ibn Rustam, who had connections with the Ziyarid state.

We know certain dates in al-Biruni's life with certainty for he describes astronomical events in his workswhich allow accurate dates and places to be determined. His description of an eclipse of the moon on 24May 997 which he observed at Kath means that he had returned to his native country by this time. Theeclipse was an event that was also visible in Baghdad and al-Biruni had arranged with Abu'l-Wafa toobserve it there. Comparing their timings enabled them to calculate the difference in longitude betweenthe cities. We know that al-Biruni moved around frequently during this period for by 1000 he was at

Gurgan being supported by Qabus, the ruler of the Ziyarid state. He dedicated his work Chronology toQabus around 1000 and he was still in Gurgan on 19 February 1003 and 14 August 1003 when heobserved eclipses of the moon there. We should record that in the Chronology al-Biruni refers to sevenearlier works which he had written: one on the decimal system, one on the astrolabe, one onastronomical observations, three on astrology, and two on history.

By 4 June 1004 al-Biruni was back in his homeland, for on that day he observed another eclipse of themoon from Jurjaniyya. Ali ibn Ma'mun had ruled over Khwarazm and he remained at the court when hisbrother Abu'l Abbas Ma'mun succeeded him as ruler. Both the Ma'mun brothers married sisters of theruler Mahmud from the powerful state at Ghazna which would eventually take control of Abu'l AbbasMa'mun's kingdom.

Both Ali ibn Ma'mun and Abu'l Abbas Ma'mun were patrons of the sciences and supported a number of top scientists at their court. By 1004 Abu'l Abbas Ma'mun was ruler and he provided generous supportfor al-Biruni's scientific work. Not only did al-Biruni work there but Abu Nasr Mansur, his formerteacher also worked there, allowing the pair to renew their collaboration. With Abu'l Abbas Ma'mun'ssupport al-Biruni built an instrument at Jurjaniyya to observe solar meridian transits and he made 15such observations with the instrument between 7 June 1016 and 7 December 1016.

Wars in the region were to disrupt the scientific work of al-Biruni and Abu Nasr Mansur and eventuallyboth left Khwarazm in about 1017. Mahmud was extending his influence over the region from his basein Ghazna and made a demand of Abu'l Abbas Ma'mun in 1014 to have his name inserted into theFriday prayers. This was a signal that he wanted an end to Ma'mun's rule and he was making a bid forthe region to come under his control. After Ma'mun had at least partially agreed to Mahmud's demands,he was killed by his own army for what they considered to be an act of treachery. Following thisMahmud marched his army into the region and gained control of Kath on 3 July 1017. Both al-Biruniand Abu Nasr Mansur left with the victorious Mahmud, perhaps as his prisoners.

There follows a strange period during which there is evidence in al-Biruni's own writings that hesuffered great hardships but he also seems to have been supported by Mahmud for some scientific work.Some reports that Mahmud was cruel to al-Biruni may have some basis despite the limited patronageal-Biruni received from the ruler. Some dates and places from this period can again be deduced fromdescriptions of astronomical events recorded by al-Biruni. He was in Kabul on 14 October 1018 but,despite having no instruments with which to observe, he was able to make an observation with aningenious instrument he made from materials at hand. At Lamghan, north of Kabul, on 8 April 1019 heobserved an eclipse of the sun, writing [2]:-

... at sunrise we saw that approximately one-third of the sun was eclipsed and that theeclipse was waning.

Between 1018 and 1020, supported by Mahmud, al-Biruni made observations from Ghazna whichallowed an accurate determination of its latitude. On 17 September 1019 there was a lunar eclipseobserved by al-Biruni from Ghazna and [2]:-

He gives precise details of the exact altitude of various well known stars at the moment of first contact.

The relationship between Mahmud and al-Biruni is interesting. It is likely that al-Biruni was essentially aprisoner of Mahmud and was not free to leave. However Mahmud's military excursions into India meant

that al-Biruni was taken to that country, and there can have been few experiences that al-Biruni wouldhave enjoyed more. He may have wished for better treatment from Mahmud but al-Biruni's scientificwork certainly benefited. From around 1022 Mahmud's armies began to have success in taking controlof the northern parts of India and in 1026 his armies marched to the Indian Ocean. Al-Biruni seems onlyto have been in the northern parts of India, and we are uncertain how many visits he made, but

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to be 6339.6 km, a value not obtained in the West until the 16th century (see [50]). His Masudic canoncontains a table giving the coordinates of six hundred places, almost all of which he had directknowledge. Not all, however, were measured by al-Biruni himself, some being taken from a similar tablegiven by al-Khwarizmi. The author of [27] remarks that al-Biruni seemed to realise that for places givenby both al-Khwarizmi and Ptolemy, the value obtained by al-Khwarizmi is the more accurate.

Al-Biruni also wrote a treatise on time-keeping, wrote several treatises on the astrolabe and describes amechanical calendar. He makes interesting observations on the velocity of light, stating that its velocity isimmense compared with that of sound. He also describes the Milky Way as

... a collection of countless fragments of the nature of nebulous stars.

Topics in physics that were studied by al-Biruni included hydrostatics and made very accuratemeasurements of specific weights. He described the ratios between the densities of gold, mercury, lead,silver, bronze, copper, brass, iron, and tin. Al-Biruni displayed the results as combinations of integersand numbers of the form 1/n, n = 2, 3, 4, ... , 10.

Many of al-Biruni's ideas were worked out in discussions and arguments with other scholars. He had along-standing collaboration with his teacher Abu Nasr Mansur, each asking the other to undertakespecific pieces of work to support their own. He corresponded with Avicenna, in a rather confrontational

fashion, about the nature of heat and light. In [4], eighteen letters which Avicenna sent to al-Biruni inanswer to questions that he had posed are given. These letters cover topics such as philosophy,astronomy and physics. Al-Biruni also corresponded with al-Sijzi. The paper [10] contains a letter thatal-Biruni wrote to al-Sijzi (translated into English in [63]) which contains proofs of both the plane andspherical versions of the sine theorem. Al-Biruni says were due to his teacher Abu Nasr Mansur.

Finally we should say a little about the personality of this great scholar. In contrast with the works of many others, we find out a lot about al-Biruni from his writings. Despite the fact that no more than onefifth of his works have survived, we get a clear picture of the great scientist. We see a man who was nota great innovator of original theories, mathematical or otherwise, but rather a careful observer who was aleading exponent of the experimental method. He was a great linguist who was able to read first hand anamazing number of the treatises that existed and he clearly saw the development of science as part of a

historical process which he is always careful to put in proper context. His writings are therefore of greatinterest to historians of science.

It appears clear that, despite his many works on astrology, al-Biruni did not believe in the 'science' butused it as a means to support his serious scientific work. A devout Muslim, he did write religious textsto suit his patrons particular sect. He shows no prejudice against different religious sects or races, but hedoes have strong words to say about various acts they committed. For example the Arab conquerors of Khwarazm destroyed ancient texts - what sin could be worse than that to the scholar as dedicated tolearning and history as was al-Biruni. On the Christian faith al-Biruni considered the doctrine of forgiveness, writing in India [1]:-

Upon my life, this is a noble philosophy, but the people of this world are not all philosophers. ... And indeed, ever since Constantine the Victorious became a Christian,

both sword and whip have been ever employed.

An indication of the sarcasm that he employed against those he saw to be foolish we give the reply thathe made to a religious man who objected to the fact that an instrument which al-Biruni was showing himto determine the time for prayers had Byzantine months engraved on it. Al-Biruni reports in Shadowsthat he said to him:-

The Byzantines also eat food. Then do not imitate them in this!

Article by: J J O'Connor and E F Robertson

November 1999

MacTutor History of Mathematics[http://www-history.mcs.st-andrews.ac.uk/Biographies/Al-Biruni.html]

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Al-Birüni (973-1048), genialster Gelehrter desislamischen Mittelalters, blieb im Unterschiedzu Avicenna für das europäische Denken fol

genlos, weil er als Empiriker nicht darauf auswar, die Wahrheit durch Harmonie und logische Geschlossenheit eines Systems zu erweisen. „Die nur Autoritäten folgen und ihre Prinzipien dem entnehmen, was ihnen gesagt wird,ohne daß damit eine Methode der Überprüfungeinhergeht", die - so al-BIrüni in seinem berühmten Buch über Indien - „machen einengestörten Eindruck." Er überprüfte und vervollkommnete das aus dem antiken Griechenlandüberlieferte Wissen, bewies die Kugelgestalt der

Erde, berechnete den Erdumfang, baute einenGlobus, versehen mit exakten Ortsangaben,machte Experimente zur Bestimmung des Vakuums und des spezifischen Gewichts von Mineralien, dachte nach über das Alter der Welt

und die Herkunft der Menschen, verglich Christentum, Buddhismus und Manichäismus mitdem Islam, beschäftigte sich mit soziologischenund biologischen Fragen, sprach mehrere Sprachen und kam bei Aufenthalten außerhalb sei

ner choresmischen Heimat zu der Einsicht:„Kein Volk ist frei von Dummköpfen, und diehaben wiederum Anführer, die noch dümmersind", was ihn jedoch nicht davon abbrachte,fest auf den Nutzen der Wissenschaften zu vertrauen.

Philosophie ■Geschichte • Kulturgeschichte 00300ISBN 3-379-00262-3

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