Analysis of information sources in references of the Wikipedia article "Timeline of scientific discoveries" in English language version.
Liu is explicit on this; at the point where the Nine Chapters give a detailed and helpful 'Sign Rule'
A group of mathematical clay tablets from the Old Babylonian Period, excavated at Susa in 1936, and published by E.M. Bruins in 1950, provide the information that the Babylonian approximation of π was 3 1/8 or 3.125.
Before Fibonacci wrote his work, the sequence Fn had already been discussed by Indian scholars, who had long been interested in rhythmic patterns... both Gopala (before 1135 AD) and Hemachandra (c. 1150) mentioned the numbers 1,2,3,5,8,13,21 explicitly [see P. Singh Historia Math 12 (1985) 229–44]" p. 100 (3d ed)...
Ashtadhyayi, Sanskrit Aṣṭādhyāyī ("Eight Chapters"), Sanskrit treatise on grammar written in the 6th to 5th century BCE by the Indian grammarian Panini.
{{citation}}
: CS1 maint: DOI inactive as of November 2024 (link)It will be remembered that the scratch method did not spring into existence in the form taught by the writers of the sixteenth century. On the contrary, it is simply the graphical representation of the method employed by the Hindus, who calculated with a coarse pencil on a small dust-covered tablet. The erasing of a figure by the Hindus is here represented by the scratching of a figure.
{{cite book}}
: |journal=
ignored (help){{cite journal}}
: CS1 maint: multiple names: authors list (link)It will be remembered that the scratch method did not spring into existence in the form taught by the writers of the sixteenth century. On the contrary, it is simply the graphical representation of the method employed by the Hindus, who calculated with a coarse pencil on a small dust-covered tablet. The erasing of a figure by the Hindus is here represented by the scratching of a figure.
{{cite book}}
: |journal=
ignored (help)It will be remembered that the scratch method did not spring into existence in the form taught by the writers of the sixteenth century. On the contrary, it is simply the graphical representation of the method employed by the Hindus, who calculated with a coarse pencil on a small dust-covered tablet. The erasing of a figure by the Hindus is here represented by the scratching of a figure.
{{cite book}}
: |journal=
ignored (help)It will be remembered that the scratch method did not spring into existence in the form taught by the writers of the sixteenth century. On the contrary, it is simply the graphical representation of the method employed by the Hindus, who calculated with a coarse pencil on a small dust-covered tablet. The erasing of a figure by the Hindus is here represented by the scratching of a figure.
{{cite book}}
: |journal=
ignored (help)Ashtadhyayi, Sanskrit Aṣṭādhyāyī ("Eight Chapters"), Sanskrit treatise on grammar written in the 6th to 5th century BCE by the Indian grammarian Panini.