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What (who) is trigonometry$85129$ - definition
GEOMETRIC LINE SEGMENT WHOSE ENDPOINTS BOTH LIE ON THE CURVE
Chord (math); Crd (function); Chord length; Crd (trigonometry); Krd (trigonometry); Chord (trigonometry); Inverse chord (trigonometry); Inverse chord; Acrd (trigonometry); Arccrd (trigonometry); Arccrd; Arcchord; Arcchord (trigonometry); Circular chord
History of trigonometry
![[[Guo Shoujing]] (1231–1316)](https://commons.wikimedia.org/wiki/Special:FilePath/Guo Shoujing-beijing.JPG?width=200 "[[Guo Shoujing]] (1231–1316)")
![Page from ''[[The Compendious Book on Calculation by Completion and Balancing]]'' by [[Muhammad ibn Mūsā al-Khwārizmī]] (c. AD 820)](https://commons.wikimedia.org/wiki/Special:FilePath/Image-Al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala.jpg?width=200 "Page from ''[[The Compendious Book on Calculation by Completion and Balancing]]'' by [[Muhammad ibn Mūsā al-Khwārizmī]] (c. AD 820)")
![[[Menelaus' theorem]]](https://commons.wikimedia.org/wiki/Special:FilePath/Menelaus-thm.png?width=200 "[[Menelaus' theorem]]")
ASPECT OF HISTORY
History of trigonometric functions; Trigonometry in ancient Egypt
Early study of triangles can be traced to the 2nd millennium BC, in Egyptian mathematics (Rhind Mathematical Papyrus) and Babylonian mathematics. Trigonometry was also prevalent in Kushite mathematics.
Divine Proportions: Rational Trigonometry to Universal Geometry
REFORMULATION OF PLANAR DISTANCE AND ANGLE MEASUREMENTS IN TERMS OF POLYNOMIAL FUNCTIONS OF CARTESIAN COORDINATES
Rational Trigonometry; Triple quad formula proof; Pythagorean theorem proof (rational trigonometry); Pythagoras' theorem proof (Rational trigonometry); Triple Quad Formula Proof; Rational geometry; Quadrance; Spread polynomial; Pythagoras' theorem proof (rational trigonometry); Norman wildberger; Norman J. Wildberger; Pythagoras's theorem proof (rational trigonometry); Norman Wildberger; Spread Polynomials; Spread polynomials; Norman J Wildberger; Spread (rational trigonometry); Quadrance (rational trigonometry); Quadrea (rational trigonometry); Quadrea; Divine proportions: Rational trigonometry to universal geometry; Divine Proportions (rational trigonometry); Norman John Wildberger; Twist (rational trigonometry); Turn (rational trigonometry); Coturn (rational trigonometry); Rational trigonometry
Divine Proportions: Rational Trigonometry to Universal Geometry is a 2005 book by the mathematician Norman J. Wildberger on a proposed alternative approach to Euclidean geometry and trigonometry, called rational trigonometry.
Uses of trigonometry
![The [[Canadarm2]] robotic manipulator on the [[International Space Station]] is operated by controlling the angles of its joints. Calculating the final position of the astronaut at the end of the arm requires repeated use of trigonometric functions of those angles.](https://commons.wikimedia.org/wiki/Special:FilePath/STS-114 Steve Robinson on Canadarm2.jpg?width=200 "The [[Canadarm2]] robotic manipulator on the [[International Space Station]] is operated by controlling the angles of its joints. Calculating the final position of the astronaut at the end of the arm requires repeated use of trigonometric functions of those angles.")
APPLICATIONS OF TRIGONOMETRY
Applications of trigonometry; Solving non-trigonometric equations using trigonometry
Amongst the lay public of non-mathematicians and non-scientists, trigonometry is known chiefly for its application to measurement problems, yet is also often used in ways that are far more subtle, such as its place in the theory of music; still other uses are more technical, such as in number theory. The mathematical topics of Fourier series and Fourier transforms rely heavily on knowledge of trigonometric functions and find application in a number of areas, including statistics.
Wikipedia
Chord (geometry)
A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord were to be extended infinitely on both directions into a line, the object is a secant line. More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle's center point is the circle's diameter. The word chord is from the Latin chorda meaning bowstring.
