Researched
Trigonometry
Hipparchus' table of chords links angles to lengths; Ptolemy, Indian and Arab mathematicians turn it into sines and cosines.
Open in the interactive tree →Hipparchus tabulated chords for astronomy around 150 BC and Ptolemy's Almagest (about 150 AD) refined them; Indian mathematicians introduced the sine and later Arab scholars developed the modern functions. Trigonometry underlies surveying, navigation, astronomy and signal analysis.
Prerequisites
- Number Systems & Place Value~3000-2000 BC
- Geometry (Euclid)~300 BC
Unlocks
- Ancient astronomy~150 ADPtolemy computed planetary positions with Hipparchus' chord tables
- Logarithms (Napier)1614
Sources
More in Mathematics · Antiquity
- Number Systems & Place Value~3000-2000 BC
- Deductive Proof (Greece)~600 BC
- Geometry (Euclid)~300 BC
- Nine Chapters (China)~100 AD