Sphere - Wikipedia, the free encyclopedia
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A sphere (from Greek σφαῖρα — sphaira , "globe, ball") is a perfectly round geometrical object in three-dimensional space, such as the shape of a round ball. Like a circle in two dimensions, a p...
en.wikipedia.org/wiki/Sphere
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In On the Sphere and the Cylinder, Archimedes gives the formulae for calculating the volume of a sphere and a cylinder. In Measurement of ... 1626; Albert Girard publishes a treatise on trigonometry containing the first use of the abbreviations sin, cos, tan. He also gives formulas for the area of a spherical triangle.
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www.gap-system.org/~history/Chronology/full.html
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While Method shows that he arrived at the formulas for the surface area and volume of a sphere by "mechanical" reasoning involving infinitesimals, ... Following Archimedes' wish a sphere inscribed in a cylinder, proudly showing his discovery that the volume of the sphere equals 2/3 of the volume of the cylinder, is marked on...
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mathsforeurope.digibel.be/Archimedes.htm
mathsforeurope.digibel.be/Archimedes.htm
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This is an attempt to explain all the basic area and volume formulas as simply and intuitively as possible, starting with the easy ones and building up to the more difficult formulas for the area and volume of a sphere. ... Historical note: Archimedes was the first to calculate the surface area and volume of a sphere.
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thinkzone.wlonk.com/Area/AreaVol.htm
thinkzone.wlonk.com/Area/AreaVol.htm
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The book discusses systems of measurement of length, area, volume, ... Shows how Archimedes used his Method to discover the formula for the volume of a sphere. (Of course Archimedes also gave a rigorous proof using Eudoxus' Method of Exhaustion.) Closely related topics: Archimedes' Method, Archimedes, and The Sphere.
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math.truman.edu/~thammond/history/AreaAndVolume.html
math.truman.edu/~thammond/history/AreaAndVolume.html
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(Bobby of Diboll, TX. 2001-02-10) ; What is the formula to determine the area of a circle? [What about] a triangle, a trapezoid, a sphere, [a cylinder, ... (The volume of a solid of revolution is also obtained as the area of the meridian surface by the length of the circular trajectory of the centroid of that surface.)
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home.att.net/~numericana/answer/geometry.htm
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The squaring of the parabola is attributed to Archimedes of Syracuse, who first showed in an "elementary" way (using an intuitive notion of limit) that a parabolic segment has 2/3 the area of its circumscribed Archimedes Triangle (whose sides are the chord and the two extreme tangents).
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home.att.net/~numericana/answer/formula.htm
home.att.net/~numericana/answer/formula.htm
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If you got a distinctive fact about any number listed here you think Archimedes' Lab community might enjoy, why not post it here? ... Mathematicians define a 'sphere' as the surface of a sphere, not a solid ball, so a sphere has 2 sides: the outside and the ... When you increase the area of a square of 1 unit-square, the side n...
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www.archimedes-lab.org/numbers/Num1_69.html
www.archimedes-lab.org/numbers/Num1_69.html
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In it Archimedes determines the different positions of stability that a right paraboloid of revolution assumes when floating in a fluid of greater specific gravity, ... While Method shows that he arrived at the formulas for the surface area and volume of a sphere by "mechanical" reasoning involving infinitesimals,
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castor.phy.bg.ac.yu/web_projects/giants/archimedes.html
castor.phy.bg.ac.yu/web_projects/giants/archimedes.html
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