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Sheet music, primarily vocal music of American imprint, dating from the 18th century to the present, with most titles in the period 1840–1950. John Hay Library at Brown University: ART SONG CENTRAL: downloadable, IPA transcriptions, vocal: 1,000 Printable sheet music primarily for singers and voice teachers—most downloadable.
For all these radius ratios a compact packing is known that achieves the maximum possible packing fraction (above that of uniformly-sized discs) for mixtures of discs with that radius ratio. [9] All nine have ratio-specific packings denser than the uniform hexagonal packing, as do some radius ratios without compact packings.
According to the sheet music published at Musicnotes.com by Sony/ATV Music Publishing, "Bad Romance" is set in common time with a metronome of 119 beats per minute.It is composed in the key of A minor, with Gaga's vocal range spanning from the low-note of E 3 to the high-note of C 5.
In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. [1] Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane. In topology, it is often denoted as S 1 because it is a one-dimensional unit n-sphere ...
Ptolemy used a circle of diameter 120, and gave chord lengths accurate to two sexagesimal (base sixty) digits after the integer part. [2] The chord function is defined geometrically as shown in the picture. The chord of an angle is the length of the chord between two points on a unit circle separated by that central angle.
Since the diameter is twice the radius, the "missing" part of the diameter is (2r − x) in length. Using the fact that one part of one chord times the other part is equal to the same product taken along a chord intersecting the first chord, we find that (2r − x)x = (y / 2) 2. Solving for r, we find the required result.
The radius of the first arc must be chosen large enough to cause all successive arcs to end on the correct side of the next crossing point; however, all sufficiently-large radii work. For two lines, this forms a circle; for three lines on the sides of an equilateral triangle, with the minimum possible radius, it forms a Reuleaux triangle, and ...
Download as PDF; Printable version; In other projects ... Circumference = π × diameter = 2 π × radius ... When a circle's radius is 1—called a unit circle—its ...
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