This is a very simple question but I wasn't able to find a question like it and I wasn't a math major. Did tangent originate in trigonometry, geometry, or calculus? I remember using tangent lines in geometry, trig, and calculus but I'm curious which came first.
2026-03-28 02:49:42.1774666182
Did tangent orginate from geometry, calculus, or trigonometry?
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The idea of a tangent line definitely doesn't originate with calculus, as this branch of mathematics was only discovered in the last few hundred years by Newton and Leibniz, while the idea of tangent lines is much older than that.
Trigonometry is an offshoot of geometry, and tangent lines are definitely present in geometry. So the tangent lines probably originate from : Geometry.
One of the simplest (read: earliest) applications of tangent lines is the fact that a line tangent to a circle is perpendicular to the radius.