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" Prove that the centres of oscillation and suspension are reciprocal. Of what use is this property, in the determination of the length of a pendulum which vibrates seconds in any given latitude ? 8. Explain the method of determining the ratio of the sines... "
Alma Mater, Or, Seven Years at the University of Cambridge - Sida 88
efter John Martin Frederick Wright - 1827
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New Series of The Mathematical Repository, Volym 4

Thomas Leybourn - 1819 - 430 sidor
...vibrates seconds in any given latitude ? 8. Explain the method of determining the ratio of the sine of incidence and refraction both in liquid and solid...equator, supposing it a great circle of the earth. 10. Oi all equal quadrilateral figures, the square has the least perimeter. 11. Integrate . . dx (sin o/oV...
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New Series of The Mathematical Repository, Volym 4

Thomas Leybourn - 1819 - 430 sidor
...terrestrial equator, which is cut by the magnetic equator, supposing it a great circle of the earth. 10. Oi all equal quadrilateral figures, the square has the least perimeter. 11. Integrate dx , dd I1-) ..y/Ai— „! and ,--~ (sin fi)4 cos t' from * = °'t0 = °' <3-) zx dx / X (5.) xy —...
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Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

University of Cambridge - 1821 - 254 sidor
...body's descent down a given inclined plane, .the friction being equal to ^th part of the pressure. 7. Prove that the centres of oscillation and suspension...the square has the least perimeter. 11. Integrate dx , dQ xj(ba*-a)' (sin. 6>)4 cos. 0* dx dx 12. Find the equation of the curve which is the locus of the...
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Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

1821 - 464 sidor
...of determining. the ratio of the sines of incidence and refraction both in liquid and solid hodies. 9. Given the latitudes and longitudes of two places,...the square has the least perimeter. 11. Integrate dx . dd -' and (sin. 0)4 cos. 9' 1 (3.) d* 2x' dx dy '_'_ ' 12. Find the equation of the curve which is...
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Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ...

John Martin F. Wright - 1827 - 632 sidor
...of the magnetic m~it nothing, to find the point of the terms* equator, which is cut by the magnetic supposing it a great circle of the earth. 10. Of all equal quadrilateral figures, the square as the least perimeter. 11. Integrate dx , dQ a sin 04 cos 0' = 12. Find the equation of the curve...
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A Treatise on Nautical Astronomy: For the Use of Students

John Merrifield - 1886 - 376 sidor
...the other. Show that the difference of declination of A and B = sin 23 . sin z - - nearly. 2 Ex. 628. Given the latitudes and longitudes of two places where...equator, supposing it a great circle of the earth. Ex. 629. Two places in latitude 45°, and whose difference of longitude is 90°, are at two-thirds...
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