The lituus was a crooked wand (similar in shape to the top part of some Western European crosiers) used as a cult instrument in ancient Roman religion by augurs [1] to mark out a ritual space in the sky (a templum). The passage of birds through this templum indicated divine favor or disfavor for a given undertaking.

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 ( …

连锁螺线，英文又称 Lituus螺线（如下图五所示），是由高中数学三种圆锥曲线的参数化、交互式而得到的 [3]。 高中数学三种圆锥曲线的参数化是所有形式为rˆ2*Θ=k的螺线。

3 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)...

连锁螺线依 r 符號的不同而有二個分支，以 x 軸為其 渐近线。 其 拐点 在. 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.

连锁螺线，又称Lituus 螺线，是一种典型的螺线，它是指满足条件：半径的平方乘以夹角等于斜率k的螺线。 连锁螺线有一条水平渐进线y=0。 螺线是指任何一种围绕一个中心点或一条轴旋转，同时又逐渐远离的动点的轨迹。

The lituus was a cult instrument in Roman religion, used by augurs to mark out a ritual space in the sky (a templum). The passage of birds through this templum indicated divine favor or disfavor for a given undertaking. The lituus is also used as a symbol of office for the college of the augurs to mark them out as a priestly group.

The lituus was a distinctive type of curved staff used in ancient Rome, primarily associated with religious and political functions. Its shape—resembling a shepherd’s crook or a curved horn—was symbolic of authority and was often used by augurs, the priests responsible for interpreting the will of the gods through the practice of auspicy.

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.

此曲线得名自古罗马的 利吐斯号（英语：lituus），是由英国数学家 罗杰·科茨（英语：Roger Cotes） 写在名为Harmonia Mensurarum的论文集中，在1722年写成。