EXACT ASTRONOMY. 



their intersections with sea level, computing by this rule : 

 length of the polar radius : (f--^^) 2 x 20926084 = 20- 

 856091 feet. 



Oblateness : 



69993 — 



20926084 398.974 



The identity of results demonstrates the rule, which 

 certainly, simply and economically determines any radius 

 that intersects land. The tangential force being as the 

 square of the distance from the axis of rotation, is as the 

 square of the latitude cosine. Corrected for rotation, the 

 fall of a weight at London : 289 _ (o 28 6 9 a229)a x 16.0964153 = 16.- 

 1 1 801 25916476 feet in one second. 



Radius: ( l6 ' x T 95ioo ^ Y x 20,926,084 = 20,883,218 feet. 



\i6.n8oi259i6476 / ' «' ' ~ > %J> 



A pendulum that beats seconds at London gains 79 

 beats in 24 hours at Spitzbergen, in latitude 79 50'. 

 Correcting for rotation, the fall of a weight : — ^ — x 



" ' & 289-(o.i765i) 2 



(i^) 2 x 1 6.0964 1 53= 16. 1 276029752894 feet in one second. 



Radius : ( llZlZil7 5 l? 9 l Y x 20926084 = 20858389 feet. 



The correction for altitude is equally certain and easy, 

 and I feel confident that a weighing apparatus that would 

 accurately determine the intensity of gravity at sea is not 

 beyond the ingenuity of American inventors. 



With this adjunct to the pendulum, the exact figure of 

 the earth would be quickly determined. 



Distance, Mass and Dimensions of the Sun. 



Distance between the centers of terrestrial and lunar 

 revolution : ^08.45694842835^0926084 _ Q2 ^ 1 1 6 ^ m ; les< 



With the kilometer, 3280.8992 feet for unit= 1493027- 

 69.32 kilometers. 



Taking the earth's weight as 1, it follows from the law 

 of gravitation, that the mass of the sun is the inverse du- 



