The sphere has the smallest surface area of all surfaces that enclose a given volume, and it encloses the largest volume among all closed surfaces with a given surface area. The sphere therefore appears in nature: for example, bubbles and small water drops are roughly spherical because the surface tension … See more A sphere (from Ancient Greek σφαῖρα (sphaîra) 'globe, ball') is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a … See more In analytic geometry, a sphere with center (x0, y0, z0) and radius r is the locus of all points (x, y, z) such that See more Enclosed volume In three dimensions, the volume inside a sphere (that is, the volume of a ball, but classically referred to as the volume of a sphere) is where r is the radius … See more Circles Circles on the sphere are, like circles in the plane, made up of all points a certain distance from a fixed point on the sphere. The intersection of a sphere and a plane is a circle, a point, or empty. Great circles are the intersection of … See more As mentioned earlier r is the sphere's radius; any line from the center to a point on the sphere is also called a radius. If a radius is … See more Spherical geometry The basic elements of Euclidean plane geometry are points and lines. On the sphere, points are defined in the usual sense. The analogue of the "line" is the geodesic, which is a great circle; the defining … See more Ellipsoids An ellipsoid is a sphere that has been stretched or compressed in one or more directions. More exactly, it is the image of a sphere under an See more WebConversion Chart: Refractive State to “estimated” Visual Acuity[1][2] [1] Spherical results are based upon minus (-) cylinder convention. [2] Source: “Composite Chart of Refractive …

Mapping the sphere - Department of Mathematics Rice …

WebThe live Sphere Finance price today is $0.003111 USD with a 24-hour trading volume of $23,352.79 USD. We update our SPHERE to USD price in real-time. Sphere Finance is … WebDrag on Spheres Prepared by Professor J. M. Cimbala, Penn State University Latest revision: 11 January 2012 Nomenclature a speed of sound A projected frontal area (for a sphere, A = d2/4) CD drag coefficient: CD = 2FD/( V 2A) CL lift coefficient: CL = 2FL/( V 2A) d diameter of a cylinder, sphere, or other object FD drag force FL lift force g gravitational constant (9.81 … brittany knit ankle bootie

Learn Constellations with a Planisphere - Sky & Telescope

WebIn colorimetry, the Munsell color system is a color space that specifies colors based on three properties of color: hue (basic color), chroma (color intensity), and value ().It was created by Professor Albert H. Munsell in the first decade of the 20th century and adopted by the United States Department of Agriculture (USDA) as the official color system for soil … Webthe center of the sphere. Since each side of a spherical triangle is contained in a central plane, the projection of each side onto a tangent plane is a line. We will also assume the radius of the sphere is 1. Thus, the length of an arc of a great circle, is its angle. Figure 1: Central Plane of a Unit Sphere Containing the Side α 1 capsule wardrobe work