Fabri, Honoré
,
Dialogi physici in quibus de motu terrae disputatur
,
1665
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 - 248
>
21
22
23
24
25
26
27
28
29
30
<
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 - 248
>
page
|<
<
of 248
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
pagenum
="
54
"
xlink:href
="
025/01/058.jpg
"/>
<
p
type
="
main
">
<
s
id
="
s.000607
">
<
emph
type
="
italics
"/>
Auguſtin.
<
emph.end
type
="
italics
"/>
Hæc eſt cyclois illa, quæ tot ac tantos excitavit tumultus,
<
lb
/>
de qua etiam opuſculum geometricum edidiſti; ſub nomine Antimi
<
lb
/>
Farbij. </
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000608
">
<
emph
type
="
italics
"/>
Antim.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
s.000609
"> Non agnoſcerem pro in ea lucubratiuncolam illam, ni
<
lb
/>
ſi me
<
expan
abbr
="
gratī
">gratim</
expan
>
animi ratio ſtimularet; enim verò facere non poſſum,
<
lb
/>
quin hoc loco inſignem proſectò Geometram P. Stephanum De An
<
lb
/>
gelis digniſſimum magni illius Cavalerij diſcipulum appellem, ei
<
lb
/>
que gratias, quam poſſum maximas agam, pro iis laudibus, qui
<
lb
/>
bus liberaliùs certè quàm par fuiſſet, cùm iis longè inferior ſim, pro ſua
<
lb
/>
humanitate, me alioquin prorſus incognitum, ratione præfati opuſculi cu
<
lb
/>
mulavit; ſed ad rem noſtram. </
s
>
<
s
id
="
s.000610
">Comparemus vtriuſque puncti motus, ſu
<
lb
/>
premi ſcilicet atque infimi; quod vt clariùs ſuccedat, ſit arcus EP. trigin
<
lb
/>
ta grad. punctum E, dum prædictum arcum decurrit, deferturque à cen
<
lb
/>
tro D ſiniſtrorſum, ſcilicet versùs V, acquirit ſiniſtrorſum ratione vtriuſ
<
lb
/>
que motus, totum ſpatium OQ, ſcilicet ratione motus orbis, rectam OP,
<
lb
/>
id eſt ſinum rectum EP, quem ſuppono eſſe 30. grad. & ratione motus
<
lb
/>
centri, rectam PQ æqualem ipſi arcui ER, tantumdem enim Spatij cen
<
lb
/>
trum decurrit, ergo ratione vtriuſque totum ſpatium
<
expan
abbr
="
Oq.
">OQ</
expan
>
Iam verò ſit
<
lb
/>
FR arcus æqualis 30. ſcilicet grad. punctum R eodem tempore motu or
<
lb
/>
bis acquirit dextrorſum
<
expan
abbr
="
ſpatiũ
">ſpatium</
expan
>
RS, & motu centri
<
expan
abbr
="
ſũ
">ſiniſtrorſum</
expan
>
ſpatium FT
<
lb
/>
æquale arcui FR. exiſtis autem duobus motibus reſultat R T. </
s
>
<
s
id
="
s.000611
">Iam compa
<
lb
/>
remus hæc duo ſpatia, ſcilicet. </
s
>
<
s
id
="
s.000612
">EQ, & RT, vel OQ, & differentiam
<
lb
/>
SR, FT, ſit DE 100000. OP, ſubdupla DE erit 50000. vt autem 7. ad
<
lb
/>
11.ita DE ad arcum EI, id eſt ad 157143.cuius terti ars ſcilicet 52381.
<
lb
/>
erit æqualis arcui EP, vel rectæ
<
expan
abbr
="
Pq;
">PQ</
expan
>
igitur tota OQ, addito vno nume
<
lb
/>
ro alteri, erit 102381. ducatur deinde per punctum R, ſecans DR, haud
<
lb
/>
dubiè cadet vltra punctum T, versùs V, nempe tangens, quæ terminatur
<
lb
/>
ad dictam ſecantem eſt ſemilatus polygoni circumſcripti; igitur major
<
lb
/>
arcu FR; igitur ſegmentum illud ſecantis ſeu differentia ſecantis, & ſinus
<
lb
/>
totius eſt maior ſpatio RT; igitur ſi ſupponamus æqualem, faciemus mo
<
lb
/>
tú R maiorem vero; accipio igitur ſecantem arcus FR, & in canone inve
<
lb
/>
nio 115470. ex quo numero detraho ſinum totum 100000. reſiduum erit
<
lb
/>
15470. hæc eſt RT, qùæ ferè eſt vna 7.igitur motus puncti E ad motum
<
lb
/>
puncti R toto tempore quo decurritur arcus FP, vel RS eſt vt 7.
<
lb
/>
ad 1. </
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000613
">
<
emph
type
="
italics
"/>
Chryſocom.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
s.000614
"> Sed vbinam illa tua millecupla inæqualitatis proportio?
<
lb
/>
</
s
>
<
s
id
="
s.000615
">ad populum phaleras; vos ſanè Mathematici, multa promittitis, pau
<
lb
/>
ca præſtatis; totum orbem movetis, & vix murum in ruinam præcipitem
<
lb
/>
ſuſtinetis. </
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000616
">
<
emph
type
="
italics
"/>
Antim.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
s.000617
"> Parciùs iſta viris, Chryſocome, nam fortè aliquando incides in
<
lb
/>
manus cuiuſpiam ex iis, quos puros Geometras vocant, à quo immiſericor
<
lb
/>
diter vapulabis, iis arma profectò non deſunt, ſagittæ ſcilicet, ſecantes,
<
lb
/>
ſecures, cunei, roſtra & vngues; expecta igitur parumper, nam pedeten
<
lb
/>
tim cum iſta rota progredimur, accipe arcum 15. grad. id eſt ſubduplam </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>