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adequateness    
n. 适当;充分

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  • Area inside Astroid - ProofWiki
    Theorem The area inside an astroid $H$ constructed within a circle of radius $a$ is given by: $\AA = \dfrac {3 \pi a^2} 8$ Proof Let $H$ be embedded in a cartesian plane with its center at the origin and its cusps positioned on the axes By symmetry, it is sufficient to evaluate the area shaded yellow and to multiply it by $4$ By Equation of
  • Astroid - from Wolfram MathWorld
    The astroid can also be formed as the envelope produced when a line segment is moved with each end on one of a pair of perpendicular axes (e g , it is the curve enveloped by a ladder sliding against a wall or a garage door with the top corner moving along a vertical track; left figure above)
  • Area of an Astroid: x^2 3+y^2 3=a^2 3 - YouTube
    Once you have the result for the area of one lobe, multiply it by 4 to get the total area enclosed by the astroid
  • How Can I Calculate Area of Astroid Represented by Parameter?
    The parametric representation of that astroid is $x=2\cos^3\theta$, $y=2\sin^3\theta$ We hit the point $ (2,0)$ when $\theta=0$, and the point $ (1 \sqrt2,1 \sqrt2)$ when $\theta=\pi 4$ The area is between the curve and the $x$-axis, so equals the sum of infinitesimal vertical strips of width $|dx|=|x' (\theta)\,d\theta|$ and height $|y
  • Area of Astroid Calculator | Calculate Area of Astroid
    How to calculate Area of Astroid using this online calculator? To use this online calculator for Area of Astroid, enter Radius of Fixed Circle of Astroid (rFixed Circle) and hit the calculate button
  • Astroid - MacTutor History of Mathematics
    Description The astroid was first discussed by Johann Bernoulli in 1691-92 It also appears in Leibniz 's correspondence of 1715 It is sometimes called the tetracuspid for the obvious reason that it has four cusps The astroid only acquired its present name in 1836 in a book published in Vienna
  • Area of Astroid Formula
    The formula of Area of Astroid is expressed as Area of Astroid = 3 8*pi*Radius of Fixed Circle of Astroid^2 Check Area of Astroid example and step by step solution on how to calculate Area of Astroid
  • ASTROID - MATHCURVE. COM
    Astroid pedals are beetle curves ; in particular, the pedal with respect to the centre is the quadrifolium, and the polar is the rectangular cross curve See also tetracuspid
  • Area and Perimeter of Astroids - Euler, Erdős
    It is about time I revisited my first adventure Envelopes and Astroids In the end of the post, I named the envelope of the line segments an Astroid I will now find two basic properties of this shape: area and perimeter
  • astroid - David Darling
    Its area is 3π r 2 8, or 3 2 times that of the rolling circle, and its length is 6 r The astroid is a sextic curve and also a special form of a Lamé curve





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