The Sanskrit term Aṣṭādaśāṃśa can be transliterated into English as Astadasamsa or Ashtadashamsha, using the IAST transliteration scheme (?).

In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Aṣṭādaśāṃśa (अष्टादशांश) or Aṣṭādaśabhāga refers to “eighteen-parts” (i.e., one-eighteenth) in Bhinna (“fractions”) and Bhāga (“unit fractions”), which refers to one of the twenty operations (logistics) of pāṭīgaṇita (“science of calculation which requires the use of writing material—the board”), according to Pṛthudakasvāmī’s commentary on the Brāhmasphuṭasiddhānta by Brahmagupta, a Sanskrit treatise on ancient Indian mathematics (gaṇita-śāstra) and astronomy from the 7th century.—In the Śulba, unit fractions are denoted by the use of a cardinal number with the term bhāga or aṃśa; thus pañcadaśa-bhāga (“fifteen-parts”) is equivalent to one-fifteenth, sapta-bhāga (“seven-parts”) is equivalent to one-seventh, and so on [e.g., aṣṭādaśāṃśa].

context information

Ganitashastra (शिल्पशास्त्र, gaṇitaśāstra) refers to the ancient Indian science of mathematics, algebra, number theory, arithmetic, etc. Closely allied with astronomy, both were commonly taught and studied in universities, even since the 1st millennium BCE. Ganita-shastra also includes ritualistic math-books such as the Shulba-sutras.

See also (Relevant definitions)

Partial matches: Amsha, Ashtadasha.

Full-text: Ashtadashabhaga.

Relevant text

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