Vol.2, No 10, 2000 pp. 1055-1060
UDC 531

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INTEGRAL ANALOGUE OF THE GAUSS PRINCIPLE
Valery V. Kozlov
Russia Moscow 119899, Leninskie Gori, MGU im.
M.V. Lomonosova, Meh-Mat. Fak.-t

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Abstract. The famous Gauss principle states that an actual motion is the one among conceivable motions that deviates least from the released motion. Herz based his forceless dynamics on this principle [1]. Gauss called the deviations of the conceivable motions from the released one the constraint. An explicit expression of the constraint in generalized coordinates was obtained first by Lipshitz [2].
In this paper, two new theorems are pointed out.

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INTEGRALNA ANALOGIJA GAUSOVOG PRINCIPA Čuveni Gausov princip kaže da je stvarno kretanje ono shvatljivo kretanje koje najmanje odstupa od oslobodjenog kretanja. Herc je zasnovao svoju dinamiku bez sila na tom principu. Gaus je nazvao odstupanje shvatljivog kretanja od oslobođenog kretanja ograničenjem. Eksplicitni izraz ograničenja u generalisanim koordinatama  prvi je dobio Lipshitz.
U ovom radu se ističu dve nove teoreme.