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Spherical Wedge: Semidisk, Spherical Cap, Solid Angle -

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englanti
2026-03-20
146,80 € 195,73 €

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Pehmeäkantinen 195,73 € Kovakantinen
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Toimitus 15-21 arkipäivässä

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High Quality Content by WIKIPEDIA articles! In geometry, a spherical wedge or ungula is a portion of a ball bounded by two plane semidisks and a spherical lune (termed the wedge's base). The angle between the radii lying within the bounding semidisks is the dihedral angle of the wedge ¿. If AB is a semidisk that forms a ball when completely revolved about the z-axis, revolving AB only through a given ¿ prod ... Täydellinen kuvaus

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High Quality Content by WIKIPEDIA articles! In geometry, a spherical wedge or ungula is a portion of a ball bounded by two plane semidisks and a spherical lune (termed the wedge's base). The angle between the radii lying within the bounding semidisks is the dihedral angle of the wedge ¿. If AB is a semidisk that forms a ball when completely revolved about the z-axis, revolving AB only through a given ¿ produces a spherical wedge of the same angle ¿. Beman (2008) remarks that "a spherical wedge is to the sphere of which it is a part as the angle of the wedge is to a perigon."[A] A spherical wedge of ¿ = ¿ radians (180°) is called a hemisphere, while a spherical wedge of ¿ = 2¿ radians (360°) constitutes a complete ball. The volume of a spherical wedge can be intuitively related to the AB definition in that while the volume of a ball of radius r is given by tfrac{4}{3} pi r^3, the volume a spherical wedge of the same radius r is given by frac{alpha}{2pi} cdot frac{4}{3} pi r^3 = frac{2}{3} alpha r^3

Lisätietoja

Julkaisija OmniScriptum
Julkaisuvuosi 2026
Kannen tyyppi Pehmeäkantinen
EAN 9786131190186
Kirjoita oma arvostelusi
Arvostelet: Spherical Wedge: Semidisk, Spherical Cap, Solid Angle
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146,80 € 195,73 €