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This illustration shows how the Imperial Japanese Navy used the measurement of the angle subtended by a ship to estimate the ship's angle on the bow. The target course was the most difficult piece of target data to obtain. In many cases, instead of measuring target course many systems measured a related quantity called angle on the bow. Angle ...
A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.
The length of a cevian can be determined by Stewart's theorem: in the diagram, the cevian length d is given by the formula + = (+). Less commonly, this is also represented (with some rearrangement) by the following mnemonic:
Visulization of flux through differential area and solid angle. As always n ^ {\displaystyle \mathbf {\hat {n}} \,\!} is the unit normal to the incident surface A, d A = n ^ d A {\displaystyle \mathrm {d} \mathbf {A} =\mathbf {\hat {n}} \mathrm {d} A\,\!} , and e ^ ∠ {\displaystyle \mathbf {\hat {e}} _{\angle }\,\!} is a unit vector in the ...
The numerical aperture with respect to a point P depends on the half-angle, θ 1, of the maximum cone of light that can enter or exit the lens and the ambient index of refraction. As a pencil of light goes through a flat plane of glass, its half-angle changes to θ 2 .
In trigonometry, the law of tangents or tangent rule [1] is a statement about the relationship between the tangents of two angles of a triangle and the lengths of the opposing sides. In Figure 1, a, b, and c are the lengths of the three sides of the triangle, and α, β, and γ are the angles opposite those three respective
In surface science, an instrument called a contact angle goniometer or tensiometer measures the static contact angle, advancing and receding contact angles, and sometimes surface tension. The first contact angle goniometer was designed by William Zisman of the United States Naval Research Laboratory in Washington, D.C. and manufactured by ramé ...
Gambrel roof A cross-sectional diagram of a mansard roof, which is a hipped gambrel roof A gambrel or gambrel roof is a usually symmetrical two-sided roof with two slopes on each side. The upper slope is positioned at a shallow angle, while the lower slope is steep.
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