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The minor tonic, subdominant, dominant, and their parallels, created by lowering the fifth (German)/root (US) a whole tone. The parallel chord (but not the counter parallel chord) of a major chord will always be the minor chord whose root is a minor third down from the major chord's root, inversely the parallel chord of a minor chord will be ...
the distance between the two lines can be found by locating two points (one on each line) that lie on a common perpendicular to the parallel lines and calculating the distance between them. Since the lines have slope m, a common perpendicular would have slope −1/m and we can take the line with equation y = −x/m as a common perpendicular ...
The equal-area projection that results from average of sinusoidal and Mollweide y-coordinates and thereby constraining the x coordinate. 1929 Craster parabolic =Putniņš P4: Pseudocylindrical Equal-area John Craster Meridians are parabolas. Standard parallels at 36°46′N/S; parallels are unequal in spacing and scale; 2:1 aspect. 1949
As for parallel lines, a normal line to a curve is also normal to its parallels. When parallel curves are constructed they will have cusps when the distance from the curve matches the radius of curvature. These are the points where the curve touches the evolute.
Young adults are taking the supercommute into work, a trend that will only likely continue as return-to-office mandates from Amazon, JP Morgan, and others continue. Molly Hopkins, age 30, has ...
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry.As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing the parallel postulate with an alternative, or relaxing the metric requirement.
De'Aaron Fox #5 of the Sacramento Kings looks on against the Philadelphia 76ers on January 01, 2025. (Photo by Thearon W. Henderson/Getty Images) ((Photo by Thearon W. Henderson/Getty Images))
President Donald Trump has issued a slew of executive orders (EO) since beginning his second term, including one that may have an impact on your tax refund.One of Trump’s EOs initiated a hiring ...
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