Talk:Ungula

Diagram

The following types of Ungula would enhance this article: cylindrical ungula, conical ungula, hyperboloid ungula. The cylindrical ungula can be see illustrated on page 145 of the Baron reference. The diagram at spherical wedge, the spherical ungula, is another type. — Rgdboer (talk) 21:28, 28 December 2015 (UTC)

Pyramid ?

The volume of a pyramid (geometry) is bh/3 where b is the area of the base and h is the height. The following edit was removed as inappropriate:

If the slice swept by area $A(\theta )$ by an angle $d\theta$ is sufficiently close in shape to a pyramid (which is the case for the cylinder and the cone), then the volume of the ungula is

$V=\int _{0}^{\pi }{2 \over 3}A(\theta )\ \rho \ d\theta .$

Volume integrals of the type in this article, depending on an area cross-section are standard. — Rgdboer (talk) 00:02, 16 February 2019 (UTC)