Vilna Gaon
Works

The Vilna Gaon was a copious annotator, producing many marginal glosses, notes, and brief commentaries, which were mostly dictated to his pupils. Many maintain that it was his disciples who recorded his comments, if not his editorial notes. However, nothing of his was published in his lifetime. The "Gra" was very precise in the wording of his commentaries, because he maintained that he was obligated by Torah Law that only the " Torah shebichtav " (the written law) is permitted to be written down - the rest of " Torah sheb'al peh " (oral law) cannot be, unless circumstances require. (This further supports the view that it was his disciples who wrote his comments.) So the Vilna Gaon abided by this view of law by reducing his extensive explanations that are largely inscrutable to any but advanced talmudists. Glosses on the Babylonian Talmud and Shulchan Aruch are known as Bi'urei ha-Gra ("Elaborations by the Gra"). His running commentary on the Mishnah is titled Shenoth Eliyahu ("The Years of Elijah"). Various Kabbalistic works have commentaries in his name. His insights on the Pentateuch are titled Adereth Eliyahu ("The Splendor of Elijah"). Commentaries on the Proverbs and other books of the Tanakh were written later on in his life.

He was well versed in the mathematical works of Euclid (4th century BC) and encouraged his pupil Rabbi Baruch Schick of Shklov to translate these works into Hebrew. The Gaon is said to have written a concise mathematical work called Ayil Meshulash, which was an introductory primer to basic mathematics.
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