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Talk:Spherical wedge

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Latest comment: 8 years ago by Cuberoottheo in topic Ungula

Equivalent definitions

[edit]

Hi, is it worth mentioning that a spherical wedge is the solid of revolution of a circular sector when rotated by a line perpendicular to the bisector of the angle?

No because it isn't. Please sign your posts. Cuddlyable3 (talk) 20:49, 13 June 2009 (UTC)Reply

Ungula

[edit]

Having found references using ungula for a wedge from a cylinder (geometry), the redirect was put to Grégoire de Saint-Vincent for ungula. If references show it to be a Spherical wedge, then it deserves a WP:disambiguation as the two solids differ. Rgdboer (talk) 00:22, 24 December 2015 (UTC)Reply

According to 1913 Websters any section from a cylinder, cone, or volume of revolution is an ungula, so the Redirect was converted to an article. — Rgdboer (talk) 02:16, 25 December 2015 (UTC)Reply

How about including the two sides plus the lune, total area ( pi + 2 * alpha ) * r * r. And the hole left in the sphere by removing the above spherical wedge, an area of pi * r * r. Also taking a spherical bite out of the apex of the spherical wedge, an area of, pi(2rh -h^(2)) +2alpha(2r^(2) -2rh +h^(2)), where height h, between the upper lune and lower lune, is less than radius r. Cuberoottheo (talk) 17:54, 31 March 2018 (UTC) Quadrangles occur as a lune passes through a zone, its size varies with the angle 'theta' or 'phi', that the radial length 'r' or 'rho', makes with the pole, its area being the radial length squared, times differential angles theta and phi, times the sine of angle theta or phi.Cuberoottheo (talk) 09:55, 10 April 2018 (UTC)Reply