Galilei, Galileo, The systems of the world, 1661

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B DChord1804B D CSine36643B C DSine2936643180414657229314436643222966103972832
Let us now ſee the ninth. Here is the chord, the ſines and
the Parallax which is 15 m. From whence the Authour
lates the diſtance of the ſtar from the ſuperficies of the Earth
to be leſſe than a ^{*} ſeven and fortieth part of a ſemidiameter,

but this is an errour in the calcultaion, for it cometh forth truly,
as we ſhall ſee here below, more than a ſifth: See here the
tienr is 90/436, which is more than one

* Here the
tine verſion is
neous, making it
a fortieth part of,
&c.
B DChord232B D CSine39046B C DSine4363904623278092117138780924369058672
That which the Authour preſently after ſubjoyns in way of
amending the obſervations, that is, that it ſuſſiceth not to
duce the difference of Parallax, neither to a minute, nor yet
to the eighth part of a minute is true.
But I ſay, that neither
will the tenth part of a minute reduce the height of the ſtar to
32. ſemidiameters; for the ſine of the tenth part of a minute,
that is of ſix ſeconds, is 3; by which if we according to our Rule
ſhould divide 90. or we may ſay, if we ſhould divide 9058672.
by 300000. the quotient will be 30 58672/100000, that is little more
than 30. ſemidiameters and an half.
The tenth giveth the altitude of the ſtar one fifth of a
diameter, with theſe angles, ſines, and Parallax, that is, 4 gr.

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