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  2. Distance from a point to a line - Wikipedia

    en.wikipedia.org/wiki/Distance_from_a_point_to_a...

    The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line. The formula for calculating it can be derived and expressed in several ways.

  3. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    Interior angle Δθ = θ 1 −θ 2. The Pythagorean theorem is a special case of the more general theorem relating the lengths of sides in any triangle, the law of cosines, which states that where is the angle between sides and . [ 45] When is radians or 90°, then , and the formula reduces to the usual Pythagorean theorem.

  4. Euclidean distance - Wikipedia

    en.wikipedia.org/wiki/Euclidean_distance

    Euclidean distance. In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, and therefore is occasionally called the Pythagorean distance . These names come from the ancient Greek ...

  5. Distance modulus - Wikipedia

    en.wikipedia.org/wiki/Distance_modulus

    Isolating from the equation ⁡ =, finds that the distance (or, the luminosity distance) in parsecs is given by = + The uncertainty in the distance in parsecs ( δd ) can be computed from the uncertainty in the distance modulus ( δμ ) using δ d = 0.2 ln ⁡ ( 10 ) 10 0.2 μ + 1 δ μ ≈ 0.461 d δ μ {\displaystyle \delta d=0.2\ln(10)10^{0. ...

  6. Tsiolkovsky rocket equation - Wikipedia

    en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation

    A rocket's required mass ratio as a function of effective exhaust velocity ratio. The classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket: a device that can apply acceleration to itself using thrust by expelling part of its mass with high velocity and can thereby move due to the ...

  7. Angular distance - Wikipedia

    en.wikipedia.org/wiki/Angular_distance

    Angular distance. Angular distance or angular separation is the measure of the angle between the orientation of two straight lines, rays, or vectors in three-dimensional space, or the central angle subtended by the radii through two points on a sphere. When the rays are lines of sight from an observer to two points in space, it is known as the ...

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