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As demonstrated in an experiment, when the jar is placed 30 metres (98 ft) above the ground and the chain is sufficiently long, the arc of the chain fountain can reach a height of about 2.1 m (6 ft 11 in) above the jar. [non-primary source needed] [5]
The two points P and P ' (red) are antipodal because they are ends of a diameter PP ', a segment of the axis a (purple) passing through the sphere's center O (black). P and P ' are the poles of a great circle g (green) whose points are equidistant from each (with a central right angle). Any great circle s (blue) passing through the poles is ...
For a cyclic quadrilateral, the exterior angle is equal to the interior opposite angle. An inscribed angle subtended by a diameter is a right angle (see Thales' theorem). The diameter is the longest chord of the circle. Among all the circles with a chord AB in common, the circle with minimal radius is the one with diameter AB.
The experiment became a popular way to illustrate the principles of air pressure, and many smaller copies of the hemispheres were made, and are used to this day in science classes. Reenactments of von Guericke's experiment of 1654 are performed in locations around the world by the Otto von Guericke Society.
The diameter of a set is the least upper bound of the set of all distances between pairs of points in the subset. A different and incompatible definition is sometimes used for the diameter of a conic section: any chord which passes through the conic's centre. A diameter of an ellipse is any line passing through the centre of the ellipse. [2]
The number π (/ p aɪ /; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.
Maximum diameter of Thiomargarita namibiensis, the second largest bacterium ever discovered 10 −3: 1 millimeter ~5 mm Length of an average flea is 1–10 mm (usually <5 mm) [27] 2.54 mm One-tenth inch; distance between pins in DIP (dual-inline-package) electronic components 5.70 mm Diameter of the projectile in 5.56×45mm NATO ammunition 10 −2
The analysis above applies only to an ideal tube, of zero diameter. When designing an organ or Boomwhacker, the diameter of the tube must be taken into account. In acoustics, end correction is a short distance applied or added to the actual length of a resonance pipe, in order to calculate the precise resonant frequency of the pipe. The pitch ...