Language/Multiple-languages/Culture/Important-Technologies

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Mathematics

technology	physical object	discoverer/inventor	region	period	link to the introduction of physical object
algebraic equations	Ἀριθμητικά	Διόφαντος ὁ Ἀλεξανδρεύς Dióphantos ho Alexandreús	Egypt	Roman Egypt	https://en.wikipedia.org/wiki/Arithmetica
algebraic equations	ٱلْكِتَاب ٱلْمُخْتَصَر فِي حِسَاب ٱلْجَبْر وَٱلْمُقَابَلَة‎	محمد بن موسی خوارزمی Abū ʿAbdallāh Muḥammad ibn Mūsā al-Khwārizmī	Persia	Abbasid Caliphate	https://en.wikipedia.org/wiki/The_Compendious_Book_on_Calculation_by_Completion_and_Balancing
multiplication chart	清華大學藏戰國竹簡	?	China	Warring States	https://en.wikipedia.org/wiki/Tsinghua_Bamboo_Slips
Pascal's triangle	(account by 楊輝 Yáng Huī)	賈憲 Jiǎ Xiàn	China	Northern Song dynasty
Pascal's triangle	Traité du triangle arithmétique	Blaise Pascal	France	House of Bourbon	https://fr.wikipedia.org/wiki/Traité_du_triangle_arithmétique
Pascal's triangle	(account by Varāhamihira)	पिङ्गल Piṅgala	India	Classical period
Pascal's triangle	General Trattato di Numeri et Misure	Niccolò Fontana Tartaglia	Italy	early modern period	https://en.wikipedia.org/wiki/Niccol%C3%B2_Fontana_Tartaglia?#Tartaglia's_triangle
Pascal's triangle	(a lost book)	ابو بکر محمد بن الحسن الکرجی Abū Bakr Muḥammad ibn al Ḥasan al-Karajī	Persia	Buyid dynasty, Ghaznavid dynasty
plane geometry	Στοιχεῖα	Εὐκλείδης Eukleídēs	Greece	Hellenistic period	https://en.wikipedia.org/wiki/Euclid%27s_Elements
positional decimal system	Bakhshali manuscript	?	India	Gupta Empire	https://en.wikipedia.org/wiki/Bakhshali_manuscript
positional decimal system	《算法統宗》	?	China	Southern Song dynasty	https://en.wikipedia.org/wiki/Suanfa_tongzong
Pythagorean theorem	(account by Πλούταρχος Ploútarchos, Marcus Tullius Cicero, et. al)	Πυθαγόρας ο Σάμιος Pythagóras ho Sámios	Greece	Archaic period
Pythagorean theorem	《周髀算經》	?	China	Zhou dynasty	https://en.wikipedia.org/wiki/Zhoubi_Suanjing
Pythagorean triple	Plimpton 322	?	Babylonia	Old Babylonian Empire	https://en.wikipedia.org/wiki/Plimpton_322
Pythagorean triple	Berlin Papyrus 6619	?	Egypt	Middle Kingdom	https://en.wikipedia.org/wiki/Berlin_Papyrus_6619
Pythagorean triple	शुल्बसूत्र	?	India	Vedic period	https://en.wikipedia.org/wiki/Shulba_Sutras
zero	Lokavibhāga	Sarvanandi	India	Late Vedic period	https://en.wikipedia.org/wiki/Lokavibhaga

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