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hypotrochoid

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Hypotrochoid - Wikipedia
A hypotrochoid is a roulette traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R. en.wikipedia.org
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Hypotrochoid -- from Wolfram MathWorld
A hypotrochoid is a roulette traced by a point P attached to a circle of radius b rolling around the inside of a fixed circle of radius a. mathworld.wolfram.com
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Hypotrochoid | Desmos
A hypotrochoid is traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R. www.desmos.com
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hypotrochoid
hypotrochoid Geom. (h(a)ɪpəʊˈtrəʊkɔɪd, h(a)ɪˈpɒtrəʊkɔɪd) [f. hypo- 2 + trochoid.] The curve described by a point rigidly connected with the centre of a circle which rolls on the inside of another circle.1843 Penny Cycl. XXV. 282/1 A class [of curves] called..hypotrochoids, of which one particular ca... Oxford English Dictionary
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hypotrochoid - Wiktionary, the free dictionary
(geometry) A geometric curve traced by a fixed point on the radius line outside one circle which rotates inside the perimeter of another circle. Derived terms. en.wiktionary.org
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Hypotrochoid - MATHCURVE.COM
The hypotrochoids are the roulettes of the movement of a plane over a fixed plane the base of which is a circle and the rolling curve of which is a circle ... mathcurve.com
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r/educationalgifs on Reddit: The red curve is a hypotrochoid. A ...
A hypotrochoid is a roulette (a kind of curve) traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R. www.reddit.com
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Hypotrochoid
Hypotrochoid describes a family of curves. Hypotrochoid and epitrochoid are roulette of two circles. If one circle is inside another, the curve traced are ... xahlee.info
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Hypotrochoid - Wikipedia | PDF | Circle | Ellipse - Scribd
A hypotrochoid is a curve traced by a point on a smaller circle that rolls around the interior of a larger fixed circle, where the point is a set distance from ... www.scribd.com
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Hypotrochoid/Epitrochoid - Desmos
For a hypotrochoid, a and b must be both positive or negative. For an epitrochoid, either a or b can be negative. Explore what happens when a and/or b is ... www.desmos.com
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Cycloid, Trochoid, Epicycloid, Hypocycloid, Epitrochoid and ...
Hypotrochoid. Dr. Chabot's Maple Work Sheets can be altered to graph any curve in the cycloid family on any domain. However, you must own a copy of the Maple ... nationalcurvebank.org
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hypocycloid
hypocycloid Geom. (hɪpəʊ-, haɪpəʊˈsaɪklɔɪd) [f. hypo- 2 + cycloid. Cf. F. hypocycloïde.] A curve traced by a point in the circumference of a circle which rolls round the interior circumference of another circle (cf. epicycloid).1843 [see hypotrochoid]. 1854 Moseley Astron. lxi. (ed. 4) 183 This curv... Oxford English Dictionary
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Hypocycloid
The area enclosed by a hypocycloid is given by: The arc length of a hypocycloid is given by: Examples The hypocycloid is a special kind of hypotrochoid See also Roulette (curve) Special cases: Tusi couple, Astroid, Deltoid List of periodic functions Cyclogon Epicycloid Hypotrochoid Epitrochoid wikipedia.org
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calculate the period of an hypotrochoid I'm curious how to find out the period of an hypotrochoid. x = (a-b) * cos(t) + h * cos( ((a-b)/b) * t ) y = (a-b) * sin(t) - h * sin( ((a-b)/b) * t ) I...
The period of $\cos t$ and $\sin t$ is $2\pi$. For any positive constant $k$, the period of $\cos kt$ and $\sin kt$ is $2\pi/k$. (Because $\cos (k(t+p)) = \cos (kt +kp)$ so $kp$ has to be the period $2\pi$ of $\cos t$.) So, now each of the two coordinates is a sum of a function with period $2\pi$ an...
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This Week At Bungie - 03/23/2023 | Bungie.net
Mar 23, 2023Known Issues List / Help Forums / Bungie Help Twitter. KNOWN ISSUES . While we continue investigating various known issues, here is a list of the latest issues that were reported to us in our #Help forum: The Dimensional Hypotrochoid Grenade Launcher can have a range Masterwork. Non-Lightfall quests show up under the Lightfall quest category.
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