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A circle is drawn centered on the midpoint of the line segment OP, having diameter OP, where O is again the center of the circle C. The intersection points T 1 and T 2 of the circle C and the new circle are the tangent points for lines passing through P , by the following argument.
is the diameter of the volume equivalent spherical particle; V 0 {\displaystyle V_{\mathrm {0} }} is the superficial or "empty-tower" velocity which is directly proportional to the average volumetric fluid flux in the channels (q), and porosity ( ε {\displaystyle \mathbf {\varepsilon } } ).
PR is the diameter of a circle centered on O; its radius AO is the arithmetic mean of a and b. Using the geometric mean theorem, triangle PGR's altitude GQ is the geometric mean. For any ratio a:b, AO ≥ GQ. A semicircle can be used to construct the arithmetic and geometric means of two lengths using straight-edge and compass.
Thales’ theorem: if AC is a diameter and B is a point on the diameter's circle, the angle ∠ ABC is a right angle.. In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle.
In non ideal fluid dynamics, the Hagen–Poiseuille equation, also known as the Hagen–Poiseuille law, Poiseuille law or Poiseuille equation, is a physical law that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross section.
The latitude of the Earth's equator is, by definition, 0° (zero degrees) of arc.The equator is one of the five notable circles of latitude on Earth; the other four are the two polar circles (the Arctic Circle and the Antarctic Circle) and the two tropical circles (the Tropic of Cancer and the Tropic of Capricorn).
With a height that is only four to eight times its diameter, the columns are the most squat of all orders. The shaft of the Doric order is channeled with 20 flutes. The capital consists of a necking or annulet, which is a simple ring. The echinus is convex, or circular cushion like stone, and the abacus is a square slab of stone.
The Manning formula or Manning's equation is an empirical formula estimating the average velocity of a liquid in an open channel flow (flowing in a conduit that does not completely enclose the liquid).