Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
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040/01/288.jpg
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pagenum
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268
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<
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<
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<
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<
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<
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Tycho.
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</
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<
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<
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</
row
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<
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<
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<
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<
emph
type
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gr.
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</
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<
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<
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type
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m.
<
emph.end
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</
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<
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/>
</
row
>
<
row
>
<
cell
>Altitude of the Pole</
cell
>
<
cell
>55</
cell
>
<
cell
>58</
cell
>
<
cell
/>
</
row
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<
row
>
<
cell
>Altitude of the Star</
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<
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>84</
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>
<
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>00</
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<
cell
>the greateſt.</
cell
>
</
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<
row
>
<
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<
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>27</
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>
<
cell
>57</
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>
<
cell
>the leaſt.</
cell
>
</
row
>
<
row
>
<
cell
>And theſe are, according to the firſt paper: but accor-ding to the ſecond, the greateſt is ------------</
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>
<
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>27</
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>
<
cell
>45</
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>
<
cell
/>
</
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</
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<
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<
table.target
id
="
table3
"/>
<
row
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
Hainzelius.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
/>
</
row
>
<
row
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
gr.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
m.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
ſec.
<
emph.end
type
="
italics
"/>
</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the Pole</
cell
>
<
cell
>48</
cell
>
<
cell
>22</
cell
>
<
cell
/>
</
row
>
<
row
>
<
cell
>Altitude of the Star</
cell
>
<
cell
>76</
cell
>
<
cell
>34</
cell
>
<
cell
/>
</
row
>
<
row
>
<
cell
/>
<
cell
>76</
cell
>
<
cell
>33</
cell
>
<
cell
>45</
cell
>
</
row
>
<
row
>
<
cell
/>
<
cell
>76</
cell
>
<
cell
>35</
cell
>
<
cell
/>
</
row
>
<
row
>
<
cell
/>
<
cell
>20</
cell
>
<
cell
>09</
cell
>
<
cell
>40</
cell
>
</
row
>
<
row
>
<
cell
/>
<
cell
>20</
cell
>
<
cell
>09</
cell
>
<
cell
>30</
cell
>
</
row
>
<
row
>
<
cell
/>
<
cell
>20</
cell
>
<
cell
>09</
cell
>
<
cell
>20</
cell
>
</
row
>
</
table
>
<
table
>
<
table.target
id
="
table4
"/>
<
row
>
<
cell
>
<
emph
type
="
italics
"/>
Peucerus
<
emph.end
type
="
italics
"/>
and
<
emph
type
="
italics
"/>
Sculerus.
<
emph.end
type
="
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"/>
</
cell
>
<
cell
/>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
Landgravius.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
/>
</
row
>
<
row
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
gr.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
m.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
gr.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
m.
<
emph.end
type
="
italics
"/>
</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the pole</
cell
>
<
cell
>51</
cell
>
<
cell
>54</
cell
>
<
cell
>Altitude of the pole</
cell
>
<
cell
>51</
cell
>
<
cell
>18</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the Star</
cell
>
<
cell
>79</
cell
>
<
cell
>56</
cell
>
<
cell
>Altitude of the Star</
cell
>
<
cell
>79</
cell
>
<
cell
>30</
cell
>
</
row
>
<
row
>
<
cell
/>
<
cell
>23</
cell
>
<
cell
>33</
cell
>
<
cell
/>
<
cell
/>
<
cell
/>
</
row
>
</
table
>
<
table
>
<
table.target
id
="
table5
"/>
<
row
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
Camerarius.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
</
row
>
<
row
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
gr.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
m.
<
emph.end
type
="
italics
"/>
</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the pole</
cell
>
<
cell
>52</
cell
>
<
cell
>24</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the Star</
cell
>
<
cell
>80</
cell
>
<
cell
>30</
cell
>
</
row
>
<
row
>
<
cell
/>
<
cell
>80</
cell
>
<
cell
>27</
cell
>
</
row
>
<
row
>
<
cell
/>
<
cell
>80</
cell
>
<
cell
>26</
cell
>
</
row
>
<
row
>
<
cell
/>
<
cell
>24</
cell
>
<
cell
>28</
cell
>
</
row
>
<
row
>
<
cell
/>
<
cell
>24</
cell
>
<
cell
>20</
cell
>
</
row
>
<
row
>
<
cell
/>
<
cell
>24</
cell
>
<
cell
>17</
cell
>
</
row
>
</
table
>
<
table
>
<
table.target
id
="
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"/>
<
row
>
<
cell
>
<
emph
type
="
italics
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Hagecius
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
Maurolycus.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
/>
</
row
>
<
row
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
gr.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
m.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
gr.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
m.
<
emph.end
type
="
italics
"/>
</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the pole</
cell
>
<
cell
>48</
cell
>
<
cell
>22</
cell
>
<
cell
>Altitude of the pole</
cell
>
<
cell
>38</
cell
>
<
cell
>30</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the Star</
cell
>
<
cell
>20</
cell
>
<
cell
>15</
cell
>
<
cell
>Altitude of the Star</
cell
>
<
cell
>62</
cell
>
<
cell
>00</
cell
>
</
row
>
<
row
>
<
cell
>
<
emph
type
="
italics
"/>
Munocius.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
Vrſinus.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
/>
</
row
>
<
row
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
gr.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
m.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
gr.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
m.
<
emph.end
type
="
italics
"/>
</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the pole</
cell
>
<
cell
>39</
cell
>
<
cell
>30</
cell
>
<
cell
>Altitude of the pole</
cell
>
<
cell
>49</
cell
>
<
cell
>24</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the ſtar</
cell
>
<
cell
>67</
cell
>
<
cell
>30</
cell
>
<
cell
>Altitude of the ſtar</
cell
>
<
cell
>79</
cell
>
<
cell
>00</
cell
>
</
row
>
<
row
>
<
cell
/>
<
cell
>11</
cell
>
<
cell
>30</
cell
>
<
cell
/>
<
cell
>22</
cell
>
<
cell
>00</
cell
>
</
row
>
<
row
>
<
cell
>
<
emph
type
="
italics
"/>
Reinholdus.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
Buchius.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
/>
</
row
>
<
row
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
gr.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
m.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
gr.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
m.
<
emph.end
type
="
italics
"/>
</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the pole</
cell
>
<
cell
>51</
cell
>
<
cell
>18</
cell
>
<
cell
>Altitude of the pole</
cell
>
<
cell
>51</
cell
>
<
cell
>10</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the ſtar</
cell
>
<
cell
>79</
cell
>
<
cell
>30</
cell
>
<
cell
>Altitude of the ſtar</
cell
>
<
cell
>79</
cell
>
<
cell
>20</
cell
>
</
row
>
<
row
>
<
cell
/>
<
cell
>23</
cell
>
<
cell
>02</
cell
>
<
cell
/>
<
cell
>22</
cell
>
<
cell
>40</
cell
>
</
row
>
</
table
>
<
table
>
<
table.target
id
="
table7
"/>
<
row
>
<
cell
>
<
emph
type
="
italics
"/>
Gemma.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
/>
<
cell
/>
</
row
>
<
row
>
<
cell
/>
<
cell
>
<
emph
type
="
italics
"/>
gr.
<
emph.end
type
="
italics
"/>
</
cell
>
<
cell
>
<
emph
type
="
italics
"/>
m.
<
emph.end
type
="
italics
"/>
</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the pole</
cell
>
<
cell
>50</
cell
>
<
cell
>50</
cell
>
</
row
>
<
row
>
<
cell
>Altitude of the ſtar</
cell
>
<
cell
>79</
cell
>
<
cell
>45</
cell
>
</
row
>
</
table
>
<
p
type
="
main
">
<
s
>Now to ſee my whole proceeding, we may begin from theſe
<
lb
/>
calculations, which are four, omitted by the Author, perhaps
<
lb
/>
cauſe they make againſt him, in regard they place the ſtar above
<
lb
/>
the moon by many ſemidiameters of the Earth. </
s
>
<
s
>The firſt of
<
lb
/>
which is this, computed upon the obſervations of the Landgrave of
<
lb
/>
<
emph
type
="
italics
"/>
Haſſia,
<
emph.end
type
="
italics
"/>
and
<
emph
type
="
italics
"/>
Tycho
<
emph.end
type
="
italics
"/>
; which are, even by the Authors conceſſion,
<
lb
/>
two of the moſt exact obſervers: and in this firſt, I will declare
<
lb
/>
the order that I hold in the working; which ſhall ſerve for all the
<
lb
/>
reſt, in that they are all made by the ſame rule, not varying in any
<
lb
/>
thing, ſave in the quantity of the given ſummes, that is, in the
<
lb
/>
number of the degrees of the Poles altitude, and of the new Stars
<
lb
/>
elevation above the Horizon, the diſtance of which from the
<
lb
/>
tre of the Earth, in proportion to the ſemidiameter of the terre
<
lb
/>
ſtrial Globe is ſought, touching which it nothing imports in this
<
lb
/>
caſe, to know how many miles that ſemidiameter conteineth;
<
lb
/>
whereupon the reſolving that, and the diſtance of places where
<
lb
/>
the obſervations were made, as this Author doth, is but time and
<
lb
/>
labour loſt; nor do I know why he hath made the ſame, and
<
lb
/>
cially why at the laſt he goeth about to reduce the miles found,
<
lb
/>
to ſemidiameters of the Terreſtrial Globe.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>SIMP. </
s
>
<
s
>Perhaps he doth this to finde with ſuch ſmall meaſures,
<
lb
/>
and with their fractions the diſtance of the Star terminated to three
<
lb
/>
or four inches; for we that do not underſtand your rules of
<
lb
/>
metick, are ſtupified in hearing your concluſions; as for inſtance,
<
lb
/>
whilſt we read; Therefore the new Star or Comet was diſtant
<
lb
/>
from the Earths centre three hundred ſeventy and three thouſand
<
lb
/>
eight hundred and ſeven miles; and moreover, two hundred and
<
lb
/>
eleven, four chouſand ninety ſevenths 373807 211/4097, and upon theſe
<
lb
/>
preciſe punctualities, wherein you take notice of ſuch ſmall
<
lb
/>
ters, we do conceive it to be impoſſible, that you, who in our
<
lb
/>
culations keep an account of an inch, can at the cloſe deceive us ſo
<
lb
/>
much as an hundred miles.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>SALV. </
s
>
<
s
>This your reaſon and excuſe would paſſe for currant,
<
lb
/>
if in a diſtance of thouſands of miles, a yard over or under were
<
lb
/>
of any great moment, and if the ſuppoſitions that we take for
<
lb
/>
true, were ſo certain, as that they could aſſure us of producing an
<
lb
/>
indubitable truth in the concluſion; but here you ſee in the twelve
<
lb
/>
workings of the Author, the diſtances of the Star, which from
<
lb
/>
them one may conclude to have been different from each other,
<
lb
/>
(and therefore wide of the truth) for many hundreds and
<
lb
/>
ſands of miles: now whilſt that I am more than certain, that that
<
lb
/>
which I ſeek muſt needs differ from the truth by hundreds of miles,
<
lb
/>
to what purppſe is it to be ſo curious in our calculations, for fear
<
lb
/>
of miſſing the quantity of an inch? </
s
>
<
s
>But let us proceed, at laſt,
<
lb
/>
to the working, which I reſolve in this manner.
<
emph
type
="
italics
"/>
Tycho,
<
emph.end
type
="
italics
"/>
as may be </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>