...earth diminishes the force of gravity, as we proceed from the poles to the equatwr, by ^ of the whole force at the equator multiplied by the square of the cosine of the latitude; and the centrifugal force diminishes it in the same proportion, and hence, by a combination of the...

...; which force is found to be equal to the entire force multiplied by the cosin. of the latitude, or equal to the centrifugal force at the equator, multiplied by the square of the cosin. of the latitude, and varies as the cosin. of the latitude of the place. Hoping this communication...

...latitude of M as before by «, we get ME = MO . COSH. But [equa. 17] MO =/' =/cosn, and hence MR = /cos 2 n; that is, the diminution of gravity, due to the...the equator by ^oth of G ; of this increment, the siffth is, as we have seen, due to the centrifugal force ; the remainder is accounted for by the spheroidal...

...MN, : : EC : CM . cosn, or /:/'::!: cosn, and hence /' =/. cosn .................... [17] That is, the centrifugal force at any place on the earth's...centrifugal force at the equator, multiplied by the cosine of the latitude of the place. 27. The effect of the centrifugal force due to the rotation of...

...(126), we find, /:/'::!: cos/, .-. /' = f cosl . ( 127.) That is, the centrifugal force at any point on the earth's surface is equal to the centrifugal force at the equator, multiplied by the cosine of the latitude of the place. Let AE, perpendicular to PP', represent the value of /', and resolve...

...value of c 2 r cos / with that of c, we have c' = c cos I. That is, the centrifugal force at any point on the earth's surface is equal to the centrifugal force at the equator, multiplied by the cosine of the latitude of the place. Let AB represent the centrifugal force at A, and resolve it into...

...diminution of the force of gravity at any place on the earth,s surface, is equal to the force of gravity at the equator, multiplied by the square of the cosine of the latitude of the place. Although the effect of the centrifugal force is to diminish the force of gravity at all points of the...

...cos / 2 r 2 r cos with that of c, we have c' = c cos I. That is, the centrifugal force at any point on the earth's surface is equal to the centrifugal force at the equator, multiplied by the cosine of the latitude of the place. A body at the equator loses by centrifugal force ^Jy part of the...

...the component of the centrifugal force ichich directly opposes the force of g rarity, at any point on the earth's surface, is equal to the centrifugal...square of the cosine of the latitude of the place. Also PF = PB sin 0 sin 0 cos 0 . .... — ^2 - - > by (a) = {sin 20, by (1) of Art. 199 ; (4) fif that...