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Encyclopaedia Britannica, 11th Edition, "Gyantse" to "Hallel" Volume 12, Slice 7
作者：Various
体例：题 章数：53
字数：789,273 来源：Project Gutenberg
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章节目录
共 53 题- ENCYCLOPAEDIA BRITANNICA
- ELEVENTH EDITION
- VOLUME XII, SLICE VII
- Gyantse to Hallel
- ARTICLES IN THIS SLICE:
- FIG. 4.--_Dioon edule._]
- _Ephedra._--This genus is the only membe
- Interpreted geometrically in fig. 4
- When G' = CR is large, [mu]2 is large, and
- We can write equation (1)
- The component angular velocities about OD, OE, OZ are
- The position of relative equilibrium is given by
- For small values of [mu] the equation becomes
- The first integral of (11) gives
- Drawing KM vertical and KN parallel to OC', then
- Then
- Equation (18) S 8 must be changed to
- Then, with z = E, and
- A point L is taken in QP such that
- The special case of f = 1/2 may be stated here; it is found that
- These new functions are shown to be connected by the bilinear relation
- The dynamical equations are
- The components of angular momentum are
- With y = 0, (1), (2), (3) reduce to
- The dynamical equations (4)...(9) can now be reduced to
- Eliminating Y between (19) and (21)
- The steady motion and nutation superposed may be expressed by
- With the same approximation (A*) and (B*) are equivalent to
- Spinning upright, with [alpha] = 0, a = 0, we find F = 0, Q = 0, and
- For the kth fly-wheel
- Putting
- For a vibration of circular polarization assume a solution
- Then
- Putting
- Assuming a periodic solution of these equations
- Eliminating the ratio of P to R, we obtain
- The component angular momentum in the direction Ox is therefore
- In addition
- FOOTNOTES:
- FOOTNOTES:
- GENEALOGICAL TABLE OF THE HOUSE OF HABSBURG-LORRAINE.
- TUSCANY.
- See _Notizie degli scavi_ (1902), 3. (T. As.)
- FOOTNOTE:
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- FOOTNOTE:
- HALDANE, ROBERT (1764-1842), Scottish di
- FOOTNOTES:
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