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The Words of Mathematics: An Etymological Dictionary of ...
[240, 4 1 ] hypotrochoid (noun): from Greek-derived hypo- (q.v.) "under," trokhos "
a wheel," and the suffix -aid (q.v.) "having the appearance of." The Indo-
European root underlying Greek trokhos is dhregh- "to run." (English truck is
ultimately ...
2
Compressibility of Sandstones
Since the initial area of the hypotrochoid can be shown [Zimmenrran, 1986] to
equal 1t(l —nm2), eqns. (8.10), (8.13) and (8.15) show that 41¢/1" l+nm2 1'12 l—
nm2 Bpc = = 41:20 —nm2)(1 +nm2) 16(l +mn )2(1 -nm2)E1[2~/W/(1 +mn )1 = —',
L ...
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, where the point is a distance d from the center of the interior circle.
Jesse Russell, Ronald Cohn, 2012
Solution The locus of P will be a superior hypotrochoid. The locus of Q will be an
inferior hypotrochoid. Included angle of directing arc = D/R ¥ 180 = 15/25 ¥ 180 =
108° Refer Fig. 6.29. Fig. 6.29 With O as a centre and radius = OA = 25 cm, ...
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Handbook and Atlas of Curves
Figure 252. Hypotrochoid N 1 2 m 3.00 3.00 h 2.00 3.00 Additional equations: x =
(R — r) cosy + h cos D Figure 253. Hypotrochoid N 1 2 m 3.00 3.00 h 3.00 5.00 D
— „ Basic geometric properties: Boundedness: present. Closedness: present.
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The Universal Book of Mathematics: From Abracadabra to ...
Ifit lies elsewhere the result is a hypotrochoid. A hypocycloid has a closed form—
that is, the moving point eventually retraces its steps—when the ratio of the rolling
circle and the larger circle, fixed, is equal to a rational number. When this ratio ...
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ENGINEERING DRAWING & GRAPHICS USING AUTOCAD 2000
Hypotrochoid - A hypotrochoid is a curve generated by a point placed inside or
outside the circumference of a circle which rolls in a plane along inside of
another circle. The curve generated by a point placed inside the circumference of
the ...
8
ENGINEERING DRAWING: WITH PRIMER ON AUTOCAD
Hypotrochoid. Epitrochoid is a curve traced by a point fixed, either inside (for
inferior epitrochoid) or outside (for superior epitrochoid). The rolling circle rolls
without slipping on outside the directing circle. When the rolling circle rolls inside
the ...
SIDDIQUEE ARSHAD N., ZAHID A. KHAN, MUKHTAR AHMAD, 2004
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CRC Concise Encyclopedia of Mathematics, Second Edition
Eric W. Weisstein. 1450 Hypotrochoid Hyzer's Illusion The ROULETTE traced by
a point P attached to a CIRCLE of radius 6 rolling around the inside of a fixed
CIRCLE of radius a , where P is a distance h < b from the center of the interior
circle.
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An elementary treatise on the geometry of curves and curved ...
THE HYPOTROCHOID. The equations to the hypotrochoid being y= [R — rm) cos
. <f> + r cos <f> ,t> \ . . R—rm , x = {K—rm) sin. <\> — r sin <f>. rm If we have rm =
^R, these expressions become y= cos. <£+r cos. f-= 0 = (f + r) cos- i2 And in the ...
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «HYPOTROCHOID»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
hypotrochoid w wiadomościach.
Indulge Your Inner Child and Lose a Few Hours To This Online …
But they still can't compare to the simple satisfaction you get from making a really complex hypotrochoid or epitrochoid with a marker and some ... «Gizmodo, Gru 14»
Well Intended / In a digital age, wondering if creativity still happens …
... toy as a child and have fond memories of colored ballpoint pens and the notched plastic roulettes that create elaborate hypotrochoid curves . «Westport News, Cze 14»
These Hypocycloids Will Make You Happy
A hypocycloid is a special kind of hypotrochoid in which the point tracing out the curve is on the edge of the circle, not the interior. (I haven't ... «Scientific American, Gru 13»
The lines of beauty
Designer Matt Booth creates hypotrochoids (the curved shapes that Spirographs generate) using self-built tools and programs. The results of ... «Creative Review, Paz 11»
