Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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<
chap
id
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N24CC8
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<
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N25E23
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<
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pagenum
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353
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xlink:href
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026/01/387.jpg
"/>
candum eſt per contactus inadæquatos; tunc enim motus centri longè
<
lb
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ſuperat motum orbis. </
s
>
</
p
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<
p
id
="
N25E3C
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type
="
main
">
<
s
id
="
N25E3E
">Quintò, ſi vera eſſet hypotheſis Copernici, terra moueretur hoc vlti
<
lb
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mo motu mixto ex motu centri, & motu orbis; </
s
>
<
s
id
="
N25E44
">vnde omnia puncta
<
lb
/>
eiuſdem circuli paralleli mouerentur inæquali motui tardiſſimo qui
<
lb
/>
dem punctum contactus hoc eſt meridiano reſpondens, velociſſimo ve
<
lb
/>
rò ipſi oppoſitum, ſcilicet de media nocte: porrò in hoc motu motus
<
lb
/>
centri eſſet ferè maior motu orbis iuxta communem de diametro ma
<
lb
/>
gni orbis ſententiam. </
s
>
</
p
>
<
p
id
="
N25E52
"
type
="
main
">
<
s
id
="
N25E54
">Sextò, ſi motus maioris rotæ dirigatur à minore res eodem modo
<
lb
/>
explicanda eſt, quo explicuimus illam per
<
expan
abbr
="
cõtactus
">contactus</
expan
>
diuerſos inadæquatos
<
lb
/>
tùm Th. 15. num. </
s
>
<
s
id
="
N25E5F
">11. tùm in digreſſione multis locis: </
s
>
<
s
id
="
N25E63
">porrò poſſunt eſſe
<
lb
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diuerſæ proportiones circuli mobilis, & immobilis; qui ſi maximus eſt,
<
lb
/>
minimus illius arcus accipi poteſt pro linea recta. </
s
>
</
p
>
<
p
id
="
N25E6B
"
type
="
main
">
<
s
id
="
N25E6D
">Septimò, poteſt ita rota moueri, vt pars ſuperior retrò agatur, id eſt,
<
lb
/>
vt motus orbis ſit oppoſitus motui
<
expan
abbr
="
cétri
">centri</
expan
>
v.g.ſi punctum N moueatur qui
<
lb
/>
dem dextrorſum motu centri, O verò ſiniſtrorſum motu orbis; </
s
>
<
s
id
="
N25E75
">ſed tunc
<
lb
/>
punctum B mouebitur dextrorſum motu orbis, ſed eſt noua difficultas: </
s
>
<
s
id
="
N25E7B
">
<
lb
/>
quippe ex hac hypotheſi punctum O deſcriberet ſuo motu lineam ſimi
<
lb
/>
lem, & æqualem lineæ rotatili BMIHF; punctum verò B moueretur
<
lb
/>
iuxta hanc hypotheſin eo modo, quo mouetur punctum O iuxta prio
<
lb
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rem. </
s
>
<
s
id
="
N25E86
">Sic autem moueri dicuntur quidam Epicycli ab Aſtronomis, quo
<
lb
/>
rum centrum mouetur in conſequentia, hoc eſt ſecundum ſeriem
<
lb
/>
ſignorum; </
s
>
<
s
id
="
N25E8E
">ſummum verò punctum, ſeu ſtella apogæa retrò agitur, ſeu
<
lb
/>
in partem aduerſam contendit, vel vt vocant, in præcedentia: </
s
>
<
s
id
="
N25E94
">tales
<
lb
/>
vulgò ponuntur Solis Epicycli & Lunæ; vnde obiter colligo, quàm ſit
<
lb
/>
neceſſaria Aſtronomis hæc de motu mixto ſententia, vt ſua phœnome
<
lb
/>
na ad ſuas cauſas phyſicas reducant. </
s
>
</
p
>
<
p
id
="
N25E9E
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type
="
main
">
<
s
id
="
N25EA0
">Octauò denique, poſſunt eſſe diuerſæ lineæ huius motus pro diuerſa
<
lb
/>
circulorum proportione, quarum figuras, deſcriptiones, affectiones ſuo
<
lb
/>
loco demonſtrabimus, & nouos latices tum Geometris, tùm Phyſicis
<
lb
/>
aperiemus, ex quibus vbertim fluit infinitarum ferè demonſtrationum
<
lb
/>
materia. </
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>
</
p
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<
p
id
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type
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main
">
<
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id
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N25EAF
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<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Theorema
<
emph.end
type
="
italics
"/>
17.
<
emph.end
type
="
center
"/>
</
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id
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N25EBB
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type
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<
s
id
="
N25EBD
">
<
emph
type
="
italics
"/>
Explicari poſſunt cuncta phœnomena rotæ maioris mobilis circa minorem̨
<
lb
/>
immobilem
<
emph.end
type
="
italics
"/>
; ſit enim rota minor centro A, cui incubet maior rota cen
<
lb
/>
tro K, radio KB duplo BA, roteturque circa ſuperficiem BDFTH
<
lb
/>
punctum 5 reſpondebit F & Q poſt decurſam ſuperficiem puncto B,
<
lb
/>
eritque motus mixtus. </
s
>
</
p
>
<
p
id
="
N25ECE
"
type
="
main
">
<
s
id
="
N25ED0
">Primò, centrum K mouebitur motu circulari, quia ſemper æqualiter
<
lb
/>
diſtat à puncto A; igitur deſcribit circulum, cuius radius eſt KA. </
s
>
</
p
>
<
p
id
="
N25ED6
"
type
="
main
">
<
s
id
="
N25ED8
">Secundò, poteſt facilè deſcribi linea motus puncti B v.g. diuidatur
<
lb
/>
enim BDFH in 8 arcus æquales, & B5 in 4; tùm per puncta </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>