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An approximation for the volume of a thin spherical shell is the surface area of the inner sphere multiplied by the thickness t of the shell: [2], when t is very small compared to r (). The total surface area of the spherical shell is .
The Symphony No. 6 in C major, D 589, [1] is a symphony by Franz Schubert composed between October 1817 and February 1818. [2] Its first public performance was in Vienna in 1828. It is nicknamed the "Little C major" to distinguish it from his later Ninth Symphony , in the same key, which is known as the "Great C major".
An alternative nickname, Piccolomini Mass, is speculated to refer to the brevity of the mass; [5] it does not appear to have any connection with the Piccolominis, a Sienese noble family. This is one of three masses Mozart composed in November and December 1776, all set in C major, including the Credo Mass (K. 257) and the Organ Solo Mass (K ...
The region of the plane between two concentric circles is an annulus, and analogously the region of space between two concentric spheres is a spherical shell. [6] For a given point c in the plane, the set of all circles having c as their center forms a pencil of circles. Each two circles in the pencil are concentric, and have different radii.
Left hand finger patterns, after George Bornoff. George Bornoff (5 November 1907 – 1998) was a Canadian violinist and string teacher. He notably developed the method of string teaching bearing his name, the Bornoff Method, which emphasizes an early focus on five patterns of half- and whole-steps formed by the fingers of the left hand.
In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane. If the plane passes through the center of the sphere (forming a great circle ), so that the height of the cap is equal to the radius of the sphere, the spherical ...
The I−vi−ii−V chord progression occurs as a two-bar pattern in the A section of the rhythm changes, [8] the progression based on George Gershwin's "I Got Rhythm". It can be varied as well: according to Mark Levine , "[t]oday's players usually play a dominant 7th chord rather than a minor 7th chord as the VI chord in a I-VI-II-V." [ 5 ]
Each set contains 24 pairs of prelude and fugue. The first pair is in C major, the second in C minor, the third in C ♯ major, the fourth in C ♯ minor, and so on. The rising chromatic pattern continues until every key has been represented, finishing with a B minor fugue.