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  2. Lagrange point - Wikipedia

    en.wikipedia.org/wiki/Lagrange_point

    There are five Lagrange points for the Sun–Earth system, and five different Lagrange points for the Earth–Moon system. L 1 , L 2 , and L 3 are on the line through the centers of the two large bodies, while L 4 and L 5 each act as the third vertex of an equilateral triangle formed with the centers of the two large bodies.

  3. Heron's formula - Wikipedia

    en.wikipedia.org/wiki/Heron's_formula

    A triangle with sides a, b, and c. In geometry, Heron's formula (or Hero's formula) gives the area of a triangle in terms of the three side lengths ⁠, ⁠ ⁠, ⁠ ⁠. ⁠ Letting ⁠ ⁠ be the semiperimeter of the triangle, = (+ +), the area ⁠ ⁠ is [1]

  4. Area of a triangle - Wikipedia

    en.wikipedia.org/wiki/Area_of_a_triangle

    The area of a triangle can be demonstrated, for example by means of the congruence of triangles, as half of the area of a parallelogram that has the same base length and height. A graphic derivation of the formula T = h 2 b {\displaystyle T={\frac {h}{2}}b} that avoids the usual procedure of doubling the area of the triangle and then halving it.

  5. List of second moments of area - Wikipedia

    en.wikipedia.org/wiki/List_of_second_moments_of_area

    Regular polygons; Description Figure Second moment of area Comment A filled regular (equiliteral) triangle with a side length of a = = [6] The result is valid for both a horizontal and a vertical axis through the centroid, and therefore is also valid for an axis with arbitrary direction that passes through the origin.

  6. Fermat point - Wikipedia

    en.wikipedia.org/wiki/Fermat_point

    Fig 1. Construction of the first isogonic center, X(13). When no angle of the triangle exceeds 120°, this point is the Fermat point. In Euclidean geometry, the Fermat point of a triangle, also called the Torricelli point or Fermat–Torricelli point, is a point such that the sum of the three distances from each of the three vertices of the triangle to the point is the smallest possible [1] or ...

  7. List of objects at Lagrange points - Wikipedia

    en.wikipedia.org/wiki/List_of_objects_at...

    L 4 is the Sun–Earth Lagrange point located close to the Earth's orbit 60° ahead of Earth. Asteroid (706765) 2010 TK 7 is the first discovered tadpole orbit companion to Earth, orbiting L 4; like Earth, its mean distance to the Sun is about one astronomical unit.

  8. The Triangle’s swing district would be eliminated in GOP ...

    www.aol.com/triangle-swing-district-eliminated...

    One of the proposed maps would extend the district from Wake County all the way to coastal Carteret County, with a 15-point edge for Republicans. The Triangle’s swing district would be ...

  9. Spherical trigonometry - Wikipedia

    en.wikipedia.org/wiki/Spherical_trigonometry

    The area of a polygon can be calculated from individual quadrangles of the above type, from (analogously) individual triangle bounded by a segment of the polygon and two meridians, [15] by a line integral with Green's theorem, [16] or via an equal-area projection as commonly done in GIS.