Hirose Sho. Critical edition of the Goladīpikā (Illumination of the sphere) by Parameśvara, with translation and commentaries

Sorbonne Paris Cité, 2017. — 500 p.The Goladīpikā (Illumination of the sphere) is a Sanskrit treatise by Parameśvara, which is extant in two distinctly different versions. One of them has been edited with an English translation and the other has only an edition using three manuscripts. This dissertation presents a new edition of the latter version using eleven manuscripts, addinga newly found anonymous commentary. It further consists of an English translation of the base text and the commentary as well as explanatory notes. The main content of the Goladīpikā is a collection of procedures to ind the positions of celestial objects in the sky. This dissertation highlights the mathematical tools used in these procedures, notably Rules of Three, and discusses how the author Parameśvara could have grounded the steps. There is a description of an armillary sphere at the beginning of the Goladīpikā, and the dissertation also examines how this instrument could have been involved in explaining the procedures. In the course of these arguments, the dissertation also attempts to position the Goladīpikā among the corpus of Parameśvara’s text as well as in relation to other authors