Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
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
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 570
571 - 580
581 - 590
591 - 600
601 - 610
611 - 620
621 - 630
631 - 640
641 - 650
651 - 660
661 - 670
671 - 680
681 - 690
691 - 700
701 - 701
>
221
222
223
224
225
226
227
228
229
230
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
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
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 570
571 - 580
581 - 590
591 - 600
601 - 610
611 - 620
621 - 630
631 - 640
641 - 650
651 - 660
661 - 670
671 - 680
681 - 690
691 - 700
701 - 701
>
page
|<
<
of 701
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
040/01/279.jpg
"
pagenum
="
259
"/>
<
p
type
="
main
">
<
s
>SALV. </
s
>
<
s
>I ſee that you underſtand the buſineſſe very well. </
s
>
<
s
>I
<
lb
/>
lieve that you do likewiſe comprehend, that, in regard the ſtar B
<
lb
/>
is lower than C, the angle which is made by the rayes of the
<
lb
/>
ſight, which departing from the two places A and E, meet in C,
<
lb
/>
to wit, this angle A C E, is more narrow, or if we will ſay more
<
lb
/>
acute than the angle conſtituted in B, by the rayes A B and
<
lb
/>
E
<
emph
type
="
italics
"/>
B.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>SIMP. </
s
>
<
s
>This I likewiſe underſtand very well.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>SALV. </
s
>
<
s
>And alſo, the Earth beine very little and almoſt
<
lb
/>
ſible, in reſpect of the Firmament
<
emph
type
="
italics
"/>
(or Starry Sphere
<
emph.end
type
="
italics
"/>
;) and
<
lb
/>
ſequently the ſpace A E, paced on the Earth, being very ſmall in
<
lb
/>
compariſon of the immenſe length of the lines E G and E F,
<
lb
/>
ſing from the Earth unto the Firmament, you thereby collect that
<
lb
/>
the ſtar C might riſe and aſcend ſo much and ſo much above the
<
lb
/>
Earth, that the angle therein made by the rayes which depart
<
lb
/>
from the ſaid ſtationary points A and E, might become moſt
<
lb
/>
cute, and as it were abſolutely null and inſenſible.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>SIMP. </
s
>
<
s
>And this alſo is moſt manifeſt to ſenſe.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>SALV. </
s
>
<
s
>Now you know
<
emph
type
="
italics
"/>
Simplicius
<
emph.end
type
="
italics
"/>
that Aſtronomers and
<
lb
/>
thematicians have found infallible rules by way of Geometry and
<
lb
/>
Arithmetick, to be able by help of the quantity of theſe angles
<
lb
/>
<
emph
type
="
italics
"/>
B
<
emph.end
type
="
italics
"/>
and C, and of their differences, with the additional knowledg
<
lb
/>
of the diſtance of the two places A and E, to find to a foot the
<
lb
/>
remoteneſſe of ſublime bodies; provided alwayes that the
<
lb
/>
ſaid diſtance, and angles be exactly taken.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>SIMP. </
s
>
<
s
>So that if the Rules dependent on
<
emph
type
="
italics
"/>
Geometry
<
emph.end
type
="
italics
"/>
and
<
emph
type
="
italics
"/>
<
lb
/>
nomy
<
emph.end
type
="
italics
"/>
be true, all the fallacies and errours that might be met with
<
lb
/>
in attempting to inveſtigate thoſe altitudes of new Stars or
<
lb
/>
mets, or other things muſt of neceſſity depend on the diſtance A E,
<
lb
/>
and on the angles B and C, not well meaſured. </
s
>
<
s
>And thus all thoſe
<
lb
/>
differences which are found in theſe twelve workings depend, not
<
lb
/>
on the deſects of the rules of the Calculations, but on the errours
<
lb
/>
committed in finding out thoſe angles, and thoſe diſtances, by means
<
lb
/>
of the Inſtrumental Obſervations.</
s
>
</
p
>
<
p
type
="
main
">
<
s
>SALV. True; and of this there is no doubt to be made. </
s
>
<
s
>Now
<
lb
/>
it is neceſſary that you obſerve intenſely, how in removing the Star
<
lb
/>
from B to C, whereupon the angle alwayes grows more acute, the
<
lb
/>
ray E B G goeth farther and farther off from the ray A B D in
<
lb
/>
the part beneath the angle, as you may ſee in the line E C F,
<
lb
/>
whoſe inferiour part E C is more remote from the part A C, than
<
lb
/>
is the part E B, but it can never happen, that by any whatſoever
<
lb
/>
immenſe receſſion, the lines A D and E F ſhould totally ſever from
<
lb
/>
each other, they being finally to go and conjoyn in the Star: and
<
lb
/>
onely this may be ſaid, that they would ſeparate, and reduce
<
lb
/>
ſelves to parallels, if ſo be the receſſion ſhould be infinite, which </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>