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  2. Helix - Wikipedia

    en.wikipedia.org/wiki/Helix

    The pitch of a helix is the height of one complete helix turn, measured parallel to the axis of the helix. A double helix consists of two (typically congruent) helices with the same axis, differing by a translation along the axis. [3] A circular helix (i.e. one with constant radius) has constant band curvature and constant torsion. The slope of ...

  3. Conical spiral - Wikipedia

    en.wikipedia.org/wiki/Conical_spiral

    In mathematics, a conical spiral, also known as a conical helix, [1] is a space curve on a right circular cone, whose floor projection is a plane spiral. If the floor projection is a logarithmic spiral , it is called conchospiral (from conch ).

  4. Helix angle - Wikipedia

    en.wikipedia.org/wiki/Helix_angle

    The helix may be cut either right hand or left hand. In screws especially, the helix angle is essential for calculating torque in power screw applications. The maximum efficiency for a screw is defined by the following equations: [4] =

  5. Archimedean spiral - Wikipedia

    en.wikipedia.org/wiki/Archimedean_spiral

    From the above equation, it can thus be stated: position of the particle from point of start is proportional to angle θ as time elapses. Archimedes described such a spiral in his book On Spirals . Conon of Samos was a friend of his and Pappus states that this spiral was discovered by Conon.

  6. Lead (engineering) - Wikipedia

    en.wikipedia.org/wiki/Lead_(engineering)

    Lead is the axial advance of a helix or screw during one complete turn (360°) [1] The lead for a screw thread is the axial travel for a single revolution. [ 2 ] Pitch is defined as the axial distance between adjacent threads on a helix or screw.

  7. Helical antenna - Wikipedia

    en.wikipedia.org/wiki/Helical_antenna

    A helical antenna is an antenna consisting of one or more conducting wires wound in the form of a helix.A helical antenna made of one helical wire, the most common type, is called monofilar, while antennas with two or four wires in a helix are called bifilar, or quadrifilar, respectively.

  8. Great-circle distance - Wikipedia

    en.wikipedia.org/wiki/Great-circle_distance

    When calculating the length of a short north-south line at the equator, the circle that best approximates that line has a radius of (which equals the meridian's semi-latus rectum), or 6335.439 km, while the spheroid at the poles is best approximated by a sphere of radius , or 6399.594 km, a 1% difference. So long as a spherical Earth is assumed ...

  9. Arc length - Wikipedia

    en.wikipedia.org/wiki/Arc_length

    The length of the curve is given by the formula = | ′ | where | ′ | is the Euclidean norm of the tangent vector ′ to the curve. To justify this formula, define the arc length as limit of the sum of linear segment lengths for a regular partition of [ a , b ] {\displaystyle [a,b]} as the number of segments approaches infinity.