While living in Nishapur, Tusi made a name for himself as an outstanding scholar. Tusi's prose text, with a total of more than 150 works, represents one of the largest collections of one Islamic author.
Writing in Arabic and Persian, Nasir al-Din Tusi referred to both religious "Islamic" and non-religious or secular "ancient science" topics.
His works include direct Arabic translations of the books of Euclid, Archimedes, Ptolemy, Autolycus, and Theodosius of Bithynia. Since 1259, the Rasad Khaneh observatory was built in Azarbaijan, south of the Aras River, and west of Maragheh, the capital of the Ilkhanate Kingdom.
Based on the observations of what was once the most advanced exploration center, Tusi made the most accurate tables of planetary movements as shown in his book Zij-i ilkhani Ilkhanic Tables.
This book contains astronomical tables to calculate planetary shapes and the names of stars. His model of the planetary system is believed to be the most advanced of his time and was widely used until the development of the heliocentric model in the time of Nicolaus Copernicus.
Between Ptolemy and Copernicus, many regard him who? As one of the greatest astronomers of his day. His famous student Shams al-Din al-Bukhari was a teacher of the Byzantine scholar Gregory Chioniades, who also trained astronomer Manuel Bryennios about 1300 in Constantinople.
With his planetary models, he developed a geometric pattern called the Tusi-couple, which produces sequential movements from the sum of two circular movements.
He used this process to replace Ptolemy's problematic planets on many planets, but he could not find the solution to Mercury, which was later solved by Ibn al-Shatir and Ali Qushji.
The Tusi couple was later employed by Ibn al-Shatir's geocentric model and Nicolaus Copernicus' heliocentric Copernican model.
He also calculated the annual precession of equinoxes and contributed to the development and use of other astronomical tools including the astrolabe.
Ṭūsī criticized Ptolemy's use of experimental evidence to prove that the Earth is at rest, noting that such evidence is not decisive.
Although this can be said to have been a supporter of the movement of the earth, as he and his 16th-century commentator al-Bīrjandī, asserted that the motion of the earth could not be expressed, only by physical principles found in natural philosophy.
Tusi Ptolemy's criticism was similar to the arguments later made by Copernicus in 1543 for defending the rotation of the Earth.
Concerning the true Milky Way galaxy, Ṭūsī writes in his Tadhkira: “The Milky Way, that is, the galaxy, is made up of countless smaller stars, so that, because of their compactness and small size, they appear to be cloudy. because of this, it was likened to milk in color.
" Three centuries later the evidence of the Milky Way galaxy came in 1610 when Galileo Galilei used a telescope to study the Milky Way and discovered that it was actually made up of countless weak stars.
Nasir al-Din Tusi was a supporter of Avicennian logic, and wrote the following commentary on Avicenna's theory of complete proposals:
"What prompted him in this regard was that in the assertoric syllogistic Aristotle and others sometimes used the contradiction of complete propositions assuming they were complete; that is why many decided that absolutes were absolute. from Aristotle.
Al-Tusi was the first to write a book on trigonometry other than astronomy. Al-Tusi, in his book Treatise on the Quadrilateral, provided extensive exposure to the circle. trigonometry, different from astronomy .
It was in Al-Tusi's work that trigonometry reached the status of an independent branch of pure mathematical distinctions from astronomy, to which they had been connected for so long.
He was the first to list six different sections of the right triangle in circular trigonometry.
This was followed by earlier Greek mathematical works such as Menelaus of Alexandria, who wrote a book on spherical trigonometry called Sphaerica, and earlier Islamic mathematicians Abū al-Wafā 'al-Būzjānī and Al-Jayyani.
In his painting On the Sector Figure, the famous Sine Law of the plane triangle appears.
{\ displaystyle {\ frac {a} {\ sin A}} = {\ frac {b} {\ sin B}} = {\ frac {c} {\ sin C}}} {\ displaystyle \ frac {a} {\ sin A} = \ frac {b} {\ sin B} = \ frac {c} {\ sin C}}
He also mentioned the fourth law of circular triangles, found the law of tangents of round triangles, and gave evidence of these laws.CONTINUE
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