Über die Theorie des Kreisels. Mit 143 Figuren im Text.

876 IX. Technische Anwendungen. d.- i. c2 [cos 6 Ap" -- sin 6A,'1"] + cq [(cos 6B, + sin 6Bhv) p2" - (cos 6B,^ + sin 6Bh) f2'] (10) = - N[(C2ae +.c-2 ') cos 6 + (c2gi' + c1q2') sin 6] C2. M: scp1- - -c 1Ms2S2 s2 'u. ~ + [- sin (c2,M1 hl + c M2h 22)+ c1 cos 6-l- M(ca2- c O1)]. Da jedenfalls für die Bewegung nicht die absoluten Werte p, q, wohl aber ihre Differenz mafsgebend ist, so wollen wir aus den kinematischen Gleichungen (2) und (3) in (7) und (10) den Winkel y zwischen Vorder- und Hinterradebene einführen. Benutzen wir die Abkürzung: Cos -= qP — 2-= 4, so haben wir die Gleichungen: -P- - 4Pi,also, da c2 q- l: (11) (I p1 '= u + C+14" somit: (11ii)> a)P2~1w2 4C c1" Mittels dieser Substitution werden die Gleichungen (7),-(10): [( - -(MAC2 +M2h2c1) +' (M1hl + 'M2h2).u] - gt[lMh.+ MYh22 - XM2cif a ] = 0, bezw. [ acos 6 + C ((B cos 6 + B sin 6)] 4" - c2 sin 6AA^,"- c(B, cos 6 + B" sin 6)~2" II <+ N [(c21' + c12') cos d + C C2 sin, + 4' ~ iv pos 6 + (B" cos a + Bh,-,-' Sin,) + [(c22M1, + C12M2S2) '+ (C2M1+ C1 M2S2) 1 + g[cB2M1ss + i c1Ms22-, c1c2 sin ) 6M2] = 0..

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Title
Über die Theorie des Kreisels. Mit 143 Figuren im Text.
Author
Klein, Felix, 1849-1925.
Canvas
Page 861
Publication
Leipzig,: B. G. Teubner,
1897-1910.
Subject terms
Tops
Precession
Nutation
Latitude variation
Gyroscopes

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"Über die Theorie des Kreisels. Mit 143 Figuren im Text." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abv7354.0003.001. University of Michigan Library Digital Collections. Accessed May 29, 2025.
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