In geometry, a trisectrix is a curve which can be used to trisect an arbitrary angle with ruler and compass and this curve as an additional tool. Such a method falls outside those allowed by compass and straightedge constructions, so they do not contradict the well known theorem which states that an arbitrary angle cannot be trisected with that type of construction. There is a variety of such curves and the methods used to construct an angle trisector differ according to the curve. Examples include: * Limaçon trisectrix (some sources refer to this curve as simply the trisectrix.) * Trisectrix of Maclaurin * (a.k.a. Longchamps' Trisectrix) * Tschirnhausen cubic (a.k.a. Catalan's trisectrix and L'Hôpital's cubic) * * Cubic parabola * Hyperbola with eccentricity 2 * Rose curve specified by a sinusoid with angular frequency of one-third. * Parabola A related concept is a sectrix, which is a curve which can be used to divide an arbitrary angle by any integer. Examples include: * Archimedean Spiral * Quadratrix of Hippias * Sectrix of Maclaurin * * (Wikipedia).
Adding Vectors Geometrically: Dynamic Illustration
Link: https://www.geogebra.org/m/tsBer5An
From playlist Trigonometry: Dynamic Interactives!
From playlist Trigonometry TikToks
Projection of One Vector onto Another Vector
Link: https://www.geogebra.org/m/wjG2RjjZ
From playlist Trigonometry: Dynamic Interactives!
Radian Definition: Dynamic & Conceptual Illustrator
Link: https://www.geogebra.org/m/VYq5gSqU
From playlist Trigonometry: Dynamic Interactives!
Trigonometry: Quick Bearing Illustrator
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From playlist Trigonometry: Dynamic Interactives!
From playlist Trigonometry TikToks
What is a radian? 🤔 Interactive dynamic radius wrapping exploration for Ss: https://www.geogebra.org/m/e3aamere #GeoGebra #MTBoS #ITeachMath #algebra #geometry #trigonometry #mathchat
From playlist Trigonometry: Dynamic Interactives!
Trisecting angles and Hadley's theorem | WildTrig: Intro to Rational Trigonometry | N J Wildberger
Trisecting angles from a rational trigonometry point of view, featuring a new theorem of Hadley, and relations to the trisectrix. ************************ Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of th
From playlist WildTrig: Intro to Rational Trigonometry
Periods of 3 Parent Trigonometric Functions: Without Words
Links: https://www.geogebra.org/m/dj8jwyNV https://www.geogebra.org/m/QNJMwctd BGM: Edward Shearmur
From playlist Trigonometry: Dynamic Interactives!
Polar coordinates and rational trigonometry | WildTrig: Intro to Rational Trigonometry
After a review of the usual polar coordinates, we introduce the rational version, and illustrate via an ellipse, a lemniscate and the trisectrix. This video is part of the WildTrig series, which introduces Rational Trigonometry and applies it to many different aspects of geometry. ******
From playlist WildTrig: Intro to Rational Trigonometry