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4 天之前 · The lituus is the locus of the point P moving such that the area of a circular sector remains constant. The arc length, curvature, and tangential angle are given by s(theta) = (2) kappa(theta)... TOPICS

The lituus spiral (/ ˈlɪtju.əs /) is a spiral in which the angle θ is inversely proportional to the square of the radius r. This spiral, which has two branches depending on the sign of r, is asymptotic to the x axis. Its points of inflexion are at. ± {\displaystyle (\theta ,r)=\left ( …

此曲線得名自古羅馬的 利吐斯號 （英语：lituus），是由英國數學家 羅傑·科茨 （英语：Roger Cotes） 寫在名為Harmonia Mensurarum的論文集中，在1722年寫成。 埃里克·韦斯坦因. Lituus. MathWorld. https://hsm.stackexchange.com/a/3181 on the history of the lituus curve.

The lituus is a transcendental curve that can be graphed with the polar equation r = k/√θ [1] or, equivalently, r 2 = a 2 /θ. Lituus with k = 5. The inverse of the lituus is Fermat’s spiral — a type of Archimedean spiral (the littus is the inverse of Fermat

Use the buttons on the right to move the graph or the ones in the middle to alter the scale. The buttons on the left can be used to alter the value of the parameter a. The two inc buttons alter the rate at which you can vary the parameter.

Lituus is a spiral described by the polar equation r == 1/Sqrt[θ]. The curve is asymptotic to the positive x-axis, and the other end spiral in towards the pole. The above image is a plot from 0.1 to 20*Pi.

2024年3月27日 · Visual Math: The Lituus Spiral Graphed on DesmosThis video was created by:https://www.twitter.com/tiago_handsFor more mathematics content, check out:https://...

The lituus curve originated with Cotes and is described in his book Harmonia Mensurarum (1722). Lituus means a crook, for example a bishop's crosier. Maclaurin gave the curve its name in 1722. The lituus is the locus of the point P P P moving in such a manner that the area of a circular sector remains constant.

A lituus is a spiral in which the angle is inversely proportional to the square of the radius (as expressed in polar coordinates).