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  • Semicubical parabola - Wikipedia
    In mathematics, a cuspidal cubic or semicubical parabola is an algebraic plane curve that has an implicit equation of the form (with a ≠ 0) in some Cartesian coordinate system
  • Semicubical Parabola -- from Wolfram MathWorld
    The semicubical parabola is the curve along which a particle descending under gravity describes equal vertical spacings within equal times, making it an isochronous curve It was discovered by William Neile in 1657 and was the first nontrivial algebraic curve to have its arc length computed
  • SEMICUBICAL Definition Meaning - Merriam-Webster
    The meaning of SEMICUBICAL is characterized by the square root of the cube of a quantity How to use semicubical in a sentence
  • The Semi-cubic Parabola: Neiles Parabola - National Curve Bank
    While calculating the arc length for a semi-cubical parabola gave Neile lasting recognition in the history of mathematics, we no longer use his method to compute We apply the techniques of modern calculus which, of course, he could not have known
  • Semicubical parabola - MATHCURVE. COM
    The semicubical parabola is a divergent parabola in the case where the polynomial P has a triple root It is the evolute of the parabola, and the pedal of the cissoid of Diocles
  • Semicubical parabola explained
    Although the lengths of some other non-algebraic curves including the logarithmic spiral and cycloid had already been computed (that is, those curves had been rectified), the semicubical parabola was the first algebraic curve (excluding the line and circle) to be rectified
  • Semicubical parabola - Wikiwand
    The semicubical parabolas have a cuspidal singularity; hence the name of cuspidal cubic The arc length of the curve was calculated by the English mathematician William Neile and published in 1657 (see section History)
  • Semicubical Parabola - Carleton University
    Semicubical Parabola Algebraic Equation: x 3 -ay 2 = 0 Degree: 3 Singularities: [0:0:1] Multiplicity: 2 Branching Number: 1 Genus: 0 Parameterized Equation: x = at 2, y = at 3 Delta Invariant: 1 Milnor Number: 2 Tjurina Number: 2 Projective Plane: 1 cusp Transformation: Semicubical Parabola → Cissoid of Diocles x = X y = (√2)Y z = (-1 2)X+Z
  • Semicubical parabola - Detailed Pedia
    An additional defining property of the semicubical parabola is that it is an isochrone curve, meaning that a particle following its path while being pulled down by gravity travels equal vertical intervals in equal time periods
  • Semicubic Parabola - xahlee. info
    Semicubic parabola inherets the property from parabola that when streched horizontally or vertically, the curve remain unchanged That is, the curve {a t^3, b t^2} is equivalent to {t^3, t^2}* (b^3 a^2) This is why sometimes you'll see different equations like {2 t^3, 3 t^2} for it





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