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He used Ptolemy's theorem on quadrilaterals inscribed in a circle to derive formulas for the chord of a half-arc, the chord of the sum of two arcs, and the chord of a difference of two arcs. The theorem states that for a quadrilateral inscribed in a circle , the product of the lengths of the diagonals equals the sum of the products of the two ...
Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]
Musical symbols are marks and symbols in musical notation that indicate various aspects of how a piece of music is to be performed. There are symbols to communicate information about many musical elements, including pitch, duration, dynamics, or articulation of musical notes; tempo, metre, form (e.g., whether sections are repeated), and details about specific playing techniques (e.g., which ...
Key coloration is the difference between the intervals of different keys in a single non-equal tempered tuning, and the overall sound and "feel" of the key created by the tuning of its intervals. Historical irregular musical temperaments usually have the narrowest fifths between the diatonic notes ("naturals") producing purer thirds , and wider ...
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Furthermore, 43% of retirees believe their benefits will be cut in the future, while 47% of nonretired adults worry that Social Security won't be able to pay them a benefit at all once they retire.
The sum is calculated by partitioning the region into shapes (rectangles, trapezoids, parabolas, or cubics—sometimes infinitesimally small) that together form a region that is similar to the region being measured, then calculating the area for each of these shapes, and finally adding all of these small areas together.
Shopping for the best Hanukkah gifts can be stressful; especially if you have a mother-in-law straight out of Nobody Wants This.Since Hanukkah doesn’t start until December 25 this year, you have ...