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Siddhānta-śiromaṇi original: "सि० शि०" – an abbreviation for the title "Crown of Treatises"
Commentary original: "टी०" – abbreviation for "Tika," a scholarly explanation
1
Om, salutations to the Remover of Obstacles The elephant-headed deity Ganesha, traditionally invoked to ensure the successful completion of a book.. || Om, salutations to the Sun and the other nine planetary deities. || Om, salutations to Sarasvati The goddess of speech, wisdom, and the arts.. ||
In this assembly of mathematical knowledge, which is the very essence of the Siddhānta A Sanskrit term for a comprehensive astronomical treatise., may my intellect remain unattached to the worldly objects of the senses, just as a goddess remains pure. In this wondrous work, the primary connection of knowledge—intended for those devoted to the highest understanding—resides within me.
At the beginning of a book, in order to remove the multitude of obstacles, it is desired to perform a salutation to one’s chosen deity, and to establish the relationship, the subject matter, and the purpose of the work. For this reason, the great teacher Bhāskarācārya Bhaskara II (1114–1185 CE), one of the most celebrated mathematicians of medieval India., desiring to compose the Siddhānta Shiromani The "Crown of Treatises," Bhaskara's magnum opus on mathematics and astronomy., having saluted the Sun with mind, speech, and body, makes a vow to fulfill his desired objective.
As for the verse:
"He who is to be praised, who is like a lion tearing apart the elephant of darkness, who shines with intense brilliance..." original: "अत्रातमिरगजदलनी..." – This is the famous opening verse of the text where Bhaskara compares the Sun to a lion and ignorance/darkness to an elephant.
In this world, he remains the destroyer of all faults. He, whom even the gods like Indra and the learned scholars look toward with devotion. May the Sun, who is worshipped by the gods, and Speech referring to the goddess Sarasvati make our words clear. "May they reveal" reveal, manifest, or illuminate—this is the grammatical connection. What kind of speech? That which is pure in the minds of the wise...