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  2. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    For the spherical case, one can first compute the length of side from the point at α to the ship (i.e. the side opposite to β) via the ASA formula ⁡ = ⁡ ⁡ ⁡ (+) + ⁡ ⁡ (), and insert this into the AAS formula for the right subtriangle that contains the angle α and the sides b and d: ⁡ = ⁡ ⁡ = ⁡ + ⁡ ⁡. (The planar ...

  3. Rotations and reflections in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotations_and_reflections...

    First reflect a point P to its image P′ on the other side of line L 1. Then reflect P′ to its image P′′ on the other side of line L 2. If lines L 1 and L 2 make an angle θ with one another, then points P and P′′ will make an angle 2θ around point O, the intersection of L 1 and L 2. I.e., angle ∠ POP′′ will measure 2θ.

  4. Fresnel equations - Wikipedia

    en.wikipedia.org/wiki/Fresnel_equations

    The relationship between these angles is given by the law of reflection: =, and Snell's law: ⁡ = ⁡. The behavior of light striking the interface is explained by considering the electric and magnetic fields that constitute an electromagnetic wave , and the laws of electromagnetism , as shown below .

  5. Reflection (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Reflection_(mathematics)

    Point Q is the reflection of point P through the line AB. In a plane (or, respectively, 3-dimensional) geometry, to find the reflection of a point drop a perpendicular from the point to the line (plane) used for reflection, and extend it the same distance on the other side. To find the reflection of a figure, reflect each point in the figure.

  6. Specular reflection - Wikipedia

    en.wikipedia.org/wiki/Specular_reflection

    Specular reflection, or regular reflection, is the mirror-like reflection of waves, such as light, from a surface. [ 1 ] The law of reflection states that a reflected ray of light emerges from the reflecting surface at the same angle to the surface normal as the incident ray, but on the opposing side of the surface normal in the plane formed by ...

  7. Reflection (physics) - Wikipedia

    en.wikipedia.org/wiki/Reflection_(physics)

    Reflection of light is either specular (mirror-like) or diffuse (retaining the energy, but losing the image) depending on the nature of the interface.In specular reflection the phase of the reflected waves depends on the choice of the origin of coordinates, but the relative phase between s and p (TE and TM) polarizations is fixed by the properties of the media and of the interface between them.

  8. Dad Allegedly ‘Stole Money' from His Spouse and Kids to ...

    www.aol.com/dad-allegedly-stole-money-spouse...

    A New Jersey family is suing DraftKings after a father of two gambled away more than $1 million of his family’s money across four years. The man, known by his username Mdallo1990, allegedly lost ...

  9. Symmedian - Wikipedia

    en.wikipedia.org/wiki/Symmedian

    The angle formed by the symmedian and the angle bisector has the same measure as the angle between the median and the angle bisector, but it is on the other side of the angle bisector. The three symmedians meet at a triangle center called the Lemoine point. Ross Honsberger has called its existence "one of the crown jewels of modern geometry". [1]