Trigonometric Hand Trick This is an easy way to remember the values of common values of trigonometric functions in the first quadrant.

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The hypocycloid with n cusps is the curve traced out by a point on a circle rolling inside a circle whose radius is n times larger. The hypocycloid with 2 cusps is sort of strange: Itâ€™s just â€¦

One point simply rotates around the origin (over the dotted circle). The other four points are attached to the smaller circle centered at the aforementioned point. The smaller circle rolls inside the bigger circle, while the four points actually just move in a straight line.

Many Different Ways of Obtaining an Ellipse In... | Visualizing Math

Para muchos las matematicas son solo cifras enÂ unÂ papel; nada mas que cÃ¡lculos yÂ graficas que seÂ parecen mucho aÂ una historia deÂ terror oÂ quizÃ¡ una mision imposible. EnÂ Genial.guru hemos decidido demostrate que noÂ todo esÂ tan malo como parece, yÂ reunimos para tÃÂ una coleccion deÂ "gifs" (pequeÃ±os videos) que hacen mÃ¡s evidentes algunas deÂ las leyes matematicas yÂ teoremas, que -seguramente- han estado aÂ punto deÂ comerte vivo. DeÂ todas formas, siÂ noÂ entiendes nada, alÂ menos esÂ interesa...

Fun math art (pictures) - benice equation: Fractal Spirograph (Fractal Roulette)

el mecanismo de jansen y su curva de caminata

Draw a circle on a piece of paper, and a random point inside. If you continually fold points on the edge of the circle on top of the point inside, then the fold marks will combine to form the shape of an ellipse. [code] [more] [inspiration] [bonus]

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This is a good example of a curve that can be made up from lots of straight lines. Much like the geometric construction of the parabola. Challenge: if the black square has area 1, what is the area of the white shape in the middle? EDIT: Challenge 2, can you show this area is twice the probability that on a square dartboard, you will hit a point closer to the centre than to the edge?

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matthen: Visualising numbers (100, 243 and 12)... | Visualizing Math

18. Ellipse - Wikipedia, the free encyclopedia

Here a line of fixed length is moved along the edge of an ellipse, tracing out a collection of new shapes. Consider the area of the shape traced by a point p units from one end of the line and q from the other. Holditchâ€™s theorem regarded as a milestone in the history of maths, tells us this area is less than the area of the ellipse by at least Ï€Ã—pÃ—q.Â This formula holds not just for an ellipse, but any closed curve.