1571 in science

	… 1561; 1562; 1563; 1564; 1565; 1566; 1567; ; 1568; 1569; 1570; 1571; 1572; 1573; 1574; ; 1575; 1576; 1577; 1578; 1579; 1580; 1581 …;
	Art; Archaeology; Architecture; Literature; Music; Philosophy; Science; +...

The year 1571 in science and technology included a number of events, some of which are listed here.

Mathematics

François Viète begins publication of Francisci Vietaei Universalium inspectionum ad Canonem mathematicum liber singularis containing many trigonometric tables and formulas on the sine and cosine, and novel in using a decimal notation; publication continued until 1579.

Peder Sørensen publishes Idea medicinæ philosophicæ in Basel, asserting the superiority of the ideas of Paracelsus to those of Galen.

1571 or 1572 – Jacques Besson publishes his popular comprehensive treatise on machines, Theatrum Instrumentorum.
The first occurrence of the word theodolite is found in the surveying textbook A geometric practice named Pantometria by Leonard Digges, published posthumously by his son, Thomas.^[1]

^ Daumas, Maurice (1989). Scientific Instruments of the Seventeenth and Eighteenth Centuries and Their Makers. London: Portman. ISBN 978-0-7134-0727-3.
^ Lohuizen, J. Van. "Houtman, Frederik de (1571–1627)". Australian Dictionary of Biography. National Centre of Biography, Australian National University. Retrieved 3 April 2018.