Astronomia accurata: or The royal astronomer and navigator. Containing new improvements in astronomy, chronology, and navigation. Particularly new and correct solar and lunar tables; with precepts and examples of their use, according to old or new style ... The seaman's ready computer, or new and easy navigation ...

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Printed for the author, 1760 - Navigation - 412 pages
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Page 359 - And therefore the force by which the moon is retained in its orbit becomes, at the very surface of the earth, equal to the force of gravity which we observe in heavy bodies there. And therefore (by Rule I and II) the force by which the moon is retained in its orbit is that very same force which we commonly call gravity...
Page 359 - Paris feet, and 8 lines 1 2 in length, as Mr. Huygens has observed. And the space which a heavy body describes by falling in one second of time is to half the length of this pendulum in the duplicate ratio of the circumference of a circle to its diameter (as Mr. Huygens has also shewn), and is therefore 1 5 Paris feet, 1 inch, 1 line 7/9.
Page 359 - Wherefore, since that force, in approaching the earth, increases in the reciprocal duplicate proportion of the distance, and, upon that account, at the surface of the earth, is 60 X 60 times greater than at the moon, a body in our regions, falling with that force, ought, in the space of one minute of time, to describe 60...
Page 148 - FE 09 10 11 12 37 38 39 40 65 66 67 68 93 94 95 96 F E D CB...
Page 361 - ... nature of the curve by the revolution of which round its axis a solid will be generated, such that a corpuscle placed on its surface will be attracted towards the centre of gravity with a force varying as the distance ; the solid revolving round its axis in a given time. 20. Find the horary increment of the area, which the Moon, by a radius drawn to the Earth, describes in a circular orbit.
Page 384 - Moon: angle i = the inclination of the plane of the Moon's orbit to the plane of the...
Page 131 - And since these stars are liable to no sensible parallax from the annual motion of the earth, they can have no force, because of their immense distance, to produce any sensible effect in our system.
Page 359 - And with this very force we actually find that bodies here upon earth do really descend; for a pendulum oscillating seconds in the latitude of Paris will be 3 Paris feet, and 8 lines 1 /2 in length, as Mr.
Page 365 - STN (or of the distances of the moon from the quadrature, of the moon from the node, and of the node from the sun) to the cube of the radius. And as often as the...
Page 145 - Hat star, in orbits much inclined to its equator, the attraction of the planets or comets in their perihelions must alter the inclination of the axis of that star ; on which account it will appear more or less large and luminous, as its broad side is more or less turned towards us.

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