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 (/ ˈ l ɪ tj u. ə s /) 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 (,) = (,).

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。

Apr 26, 2023 · Lituus这个词依据我的检索整理，大致上有四个意思： （1）鹦鹉螺的一种，特征是延伸出长而直的一节。 图片来源：mineralienatlas.de. （2）一种古罗马时期的长号，多用于战争、祭祀或葬礼。 图片来源：emaproject.eu. （3）一种数学上的弯曲。 接下来的第四种，也是最主要的一个意思，就是我们这里讨论的主题—— （4）占卜者手中所持的法杖；最初特指古罗马占卜师的法杖。 其造型是“无节、顶部卷曲的杖”——“a staff without knots and curved at the top. …

6 days ago · 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)... The lituus is an Archimedean spiral with n=-2, having polar equation r^2theta=a^2.

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。 连锁螺线有一条水平渐进线y=0。

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.

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 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 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.