Addition and Subtraction Theorems for the Sine and the Cosine in Medieval India

K. Ramasubramanian ()
Additional contact information
K. Ramasubramanian: Indian Institute of Technology Bombay, Cell for Indian Science and Technology in Sanskrit, Department of Humanities and Social Sciences

A chapter in Gaṇitānanda, 2019, pp 371-387 from Springer

Abstract: Abstract The paper deals with the rules of finding the sines and the cosines of the sum and difference of two angles when those of the two angles are known separately. The rules, as found in the important medieval Indian works, are equivalent to the correct modern mathematical results. Indians of the said period also knew several proofs of the formulas. These proofs are based on simple algebraic and geometrical reasoning, including proportionality of sides of similar triangles and the Ptolemy’s theorem.

Date: 2019
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-1229-8_37

Ordering information: This item can be ordered from
http://www.springer.com/9789811312298

DOI: 10.1007/978-981-13-1229-8_37

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().