Alvarus, Thomas
,
Liber de triplici motu
,
1509
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Secundi tractatus
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uis talis replica ſit pro concluſione. </
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>
<
s
xml:id
="
N1CE83
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xml:space
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preserve
">Quia tamē in
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quirit penes quē punctum debeat ibi attendi motꝰ
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illius quadrati / dico / debet attendi penes punctū
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qui mouetur gradu medio inter gradum octauum
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quo mouetur punctus velociſſime motus illius par
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tis et gradum quo mouetur punctus tardiſſime mo
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tus eiuſdem quadrati vbicun talis punctus fue-
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rit: de ſitu enim eius non eſt curandum. </
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>
<
s
xml:id
="
N1CE94
"
xml:space
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preserve
">Sed ad vi-
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dendum an tale quadratum moueatur vniformiter
<
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difformiter oportet aſpicere an in quacū propor
<
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tione quilibet punctus eius magis diſtet a centro ī
<
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/>
ea velociꝰ moueatur. </
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>
<
s
xml:id
="
N1CE9F
"
xml:space
="
preserve
">Et hoc ſufficit et requiritur ad
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motum vniformiter difformem / vt ibi dictum eſt: et
<
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quia ſic eſt de illo quadrato. </
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>
<
s
xml:id
="
N1CEA6
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xml:space
="
preserve
">Ideo dico illud moue-
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ri vniformiter difformtter. </
s
>
<
s
xml:id
="
N1CEAB
"
xml:space
="
preserve
">¶ Ad ſecundam confir-
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mationem concedo ſequelam / et nego falſitatem cõ-
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ſequentis: et ad probationem dico / denominatio
<
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motus non debet attendi penes denominationem
<
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/>
partium ita quantocun motus fuerit in maiori
<
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/>
parte ſubiecti tanto plus denominat. </
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>
<
s
xml:id
="
N1CEB8
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xml:space
="
preserve
">vt bene pro-
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bat argumentum / quãuis hoc oporteat in qualita-
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te / vt poſtea dicetur. </
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>
<
s
xml:id
="
N1CEBF
"
xml:space
="
preserve
">Sed quomodo debeat cogno-
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ſci velocitas talis motus dictum eſt: et poſtea latiꝰ.
<
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/>
</
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>
<
s
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="
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xml:space
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">dicetur.</
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>
</
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>
<
p
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<
s
xml:id
="
N1CEC9
"
xml:space
="
preserve
">Ad ſecundū argumentū / cum ſua con
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firmatione dico / ſunt pro concluſione reſpcnſiua
<
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/>
quia impugnant definitionem communeꝫ </
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>
<
s
xml:id
="
N1CED0
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xml:space
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preserve
">Dico ta
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men / motus celi eſt vniformiṫ difformis / vt poſtea
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dicetur / quia quodlibet punctum eius in ea propor
<
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/>
tione in qua plus diſtat a polo proximiori vel eque
<
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/>
propinquo in ea velocius mouetur </
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>
<
s
xml:id
="
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">Dico / eque pro
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pinquo ꝓpter puncta exiſtentia in equinoctiali: de
<
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hoc poſtea dicetur. </
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>
<
s
xml:id
="
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xml:space
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">¶ Quantū ad confirmationem
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dico / illud quadratū vniformiter difformiter mo
<
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uetur per rarefactionem et ſimiliter illa pars que ſi
<
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/>
gnatur in eo. </
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>
<
s
xml:id
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xml:space
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">Et cum probatur / non dico / illa ꝓ
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batio eſt pro me et contra definitionem quam īpug-
<
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/>
gno. </
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>
<
s
xml:id
="
N1CEF2
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xml:space
="
preserve
">Et hec de dubitatione.
<
note
position
="
left
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xlink:href
="
note-0133-01a
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note-0133-01
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xml:id
="
N1CF13
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xml:space
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">penes q̇d
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velocitaſ
<
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penes ef-
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fectū hē-
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at attēdi</
note
>
</
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>
<
s
xml:id
="
N1CEFA
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xml:space
="
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">¶ Sed de velocitate
<
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motꝰ penes effectū eſt difficultas per quid habeat
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attendi </
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>
<
s
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="
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xml:space
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">Ideo recitãde ſunt opiniones in hac mate
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ria cõmuniter occurrentes. </
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>
<
s
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="
N1CF06
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xml:space
="
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">Unde duplex eſt opinio
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cõmunis tam de motu vniformiter difformi quo ad
<
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tempus quaꝫ de motu vniformiter difformi quo ad
<
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/>
ſubiecum et quo ad ſubiectum et tempus ſimul.</
s
>
</
p
>
<
p
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<
s
xml:id
="
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xml:space
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">Prima opinio eſt guillermi hentiſbe-
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ri qui dicit / velocitas motus vniformiter diffor-
<
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mis quo ad ſubiectū d3 attēdi penes punctū velociſ
<
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ſime motuꝫ </
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>
<
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">De vniformiter autē difformi quo ad tē
<
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pus coincidit cum ſecunda opinione / que dicit / mo
<
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/>
tus vniformiter difformis quo ad tempus debet at
<
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/>
tendi penes gradum medium quo ad tempus id eſt
<
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/>
penes gradum quo mouetur mobile in medio ta-
<
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/>
lis temporis: et motus vniformiter difformis quo
<
lb
/>
ad ſubiectum debet attendi penes gradum mediuꝫ
<
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/>
totius latitudinis vniformiter difformis. </
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>
<
s
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xml:space
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">Et hec eſt
<
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communior opinio:</
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>
</
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>
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<
s
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="
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xml:space
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">¶ Aduertendum tamen / quando dicimus / velo
<
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citas motus vniformiter difformis debet attēdi pe
<
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/>
nes gradum mediuum voluminis dicere / tale mo
<
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/>
bile vniformiter difformiter motum mouetur ade-
<
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quate ita velociter ſicut mouetur punctus in quo eſt
<
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gradus medius talis latitudinis </
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>
<
s
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="
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">Et quãdo dicitur /
<
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motus vniformiter difformis quo ad tempus ve-
<
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locitas debet attendi penes gradum mediū qui eſt
<
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in medio temporis volumus dicere / tam veloci-
<
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ter mouetur in illo tempore adequate illud mobile:
<
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ac ſi per totum illud tempus moueretur illo gradu
<
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quem habet in medio illius temporis.</
s
>
</
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>
<
cb
chead
="
Capitulum primum
"/>
<
p
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="
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">
<
s
xml:id
="
N1CF61
"
xml:space
="
preserve
">¶ Aduertendum eſt vlterius / velocitas motꝰ quo
<
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/>
ad effectum debet attendi penes ſpacium pertranſi
<
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/>
tum: ita quanto ſpacium pertranſitum fuerit ma
<
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/>
ius in equali tēpore tanto motus erit velocior. </
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>
<
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="
N1CF6A
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="
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">Di-
<
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co tamen / non debet attendi velocitas motus lo-
<
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calis penes ſpacium corporale nec penes ſpacium
<
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/>
ſuperficiale ſed penes ſpacium lineale deſcriptum
<
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/>
a certo puncto / q2 tunc ſi vnus equus traheret duas
<
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/>
trabes inequales eque velociter tamen ſequeretur /
<
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/>
maior velocius moueretur / cum deſcribat maius
<
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/>
ſpacium corporale et ſuperficiale quam minor: qḋ
<
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tamen falſum / quia equaliter mouentur cū in vtra-
<
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punctus medius equale ſpacium deſcribat. </
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>
<
s
xml:id
="
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xml:space
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">Et
<
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ſic etiam dicendum eſt de motu circulari vniformi-
<
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ter difformi quo ad ſubiectum / velocitas eius ha
<
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/>
bet attendi penes lineam circularem deſcriptam a
<
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/>
puncto / in quo eſt gradus medius illius latitudinis
<
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motus vniformiter difformis. </
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>
<
s
xml:id
="
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xml:space
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">Uelocitas motꝰ vni
<
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formiter difformis quo ad tempus et quo ad ſubie-
<
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ctum debet attendi penes lineaꝫ deſcriptam a pun
<
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/>
cto / in quo eſt medius gradus talis latitudinis. </
s
>
<
s
xml:id
="
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xml:space
="
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">Et
<
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ſimiliter dicenduꝫ eſt de motu difformiter difformi
<
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quo ad tempus. </
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>
<
s
xml:id
="
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xml:space
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"> velocitas eius debet attendi penes
<
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ſpacium pertranſitum in tali tempore: </
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>
<
s
xml:id
="
N1CFA1
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xml:space
="
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">Qualiter
<
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autem quantitas talis ſpacii debeat cognoſci / quia
<
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ibi eſt huius materie precipua inquiſitio in fequent
<
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tibus ſuo loco declarabitur.
<
note
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right
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xlink:href
="
note-0133-02a
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note-0133-02
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xml:id
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xml:space
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">.1. correl.</
note
>
</
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<
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xml:space
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">¶ Ex his tamen īfer-
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tur iſtam conſequentiam non valere. </
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>
<
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="
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xml:space
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">Iſta rota vni
<
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formiter difformiter mota quo ad ſubiectuꝫ deſcri
<
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/>
bit maiorem lineam quam punctus in quo eſt gra-
<
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/>
dus medius totius latitudinis motus: igitur moue
<
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/>
tur velocius quam ille punctus quia antecedens eſt
<
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/>
verum cum punctus exiſtens in circunferentia ſiue
<
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/>
peripheria ipſius rote deſcribat maiorem lineam
<
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quam punctus in quo eſt gradus medius latitudi
<
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nis motus et vtra illarum linearum per motuꝫ ro
<
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te deſcribitur </
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>
<
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="
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"
xml:space
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">Similiter arguendo de celo dabitur
<
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/>
antecedens verum et cõſequens falſum / vt aliquali-
<
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/>
ter viſum eſt et poſtea videbitur.
<
note
position
="
right
"
xlink:href
="
note-0133-03a
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="
note-0133-03
"
xml:id
="
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"
xml:space
="
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">2. correl.</
note
>
</
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>
<
s
xml:id
="
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xml:space
="
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">¶ Secundo ſequi-
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tur / iſta conſequentia non valet iſta rota vnifor-
<
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miter difformiter mouetur quo ad ſubiectum / et ci-
<
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/>
tius trãſibit lineam circularem equalem linee de-
<
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/>
ſcripte a puncto / in quo eſt medius gradus latitudi
<
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/>
nis quam talis punctus / in quo eſt gradus medius
<
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/>
latitudinis motus deſcribat ſuam lineam: ergo ro
<
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/>
ta citius mouetur quam talis punctus </
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>
<
s
xml:id
="
N1CFE6
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xml:space
="
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">Manifeſtū
<
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eſt enim / rota ſecundum ſe totam quantocun ꝑ
<
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tio tempore moueatur deſcribit talem lineam: pun
<
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/>
ctus vero nõ. </
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>
<
s
xml:id
="
N1CFEF
"
xml:space
="
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">Et ideo dictum eſt / debet attendi pe
<
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nes lineam ab vno puncto continuo deſcriptam de
<
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/>
quo tamen latius in ſequentibus.
<
note
position
="
right
"
xlink:href
="
note-0133-04a
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="
note-0133-04
"
xml:id
="
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xml:space
="
preserve
">.3. corre.</
note
>
</
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>
<
s
xml:id
="
N1CFFB
"
xml:space
="
preserve
">¶ Tertio ſequi-
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tur / iſta conſequcntia non valet: iſtud lignum ma
<
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/>
ius ſpatium pertranſibit quam illud in eodem tem
<
lb
/>
pore: igitur velocius mouebitur in eodem tempore
<
lb
/>
</
s
>
<
s
xml:id
="
N1D005
"
xml:space
="
preserve
">Probatur captis / vt iam dictum eſt duobus lignis
<
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in equalis craſſitudinis et longitudinis / que ab vno
<
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/>
equo equaliter trahãtur / et manifeſtum eſt / maius
<
lb
/>
ſpacium corporale ſuperficiale et etiam lineale (nõ
<
lb
/>
tamen ab eodem puncto continuo deſcriptum) per
<
lb
/>
tranſit quam aliud lignum minus: nihilominus ta
<
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/>
men talia ligna equaliter mouentur. </
s
>
<
s
xml:id
="
N1D014
"
xml:space
="
preserve
">¶ Hiis ſuper-
<
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/>
ficie tenꝰ dictꝪ / vt intelligat̄̄ ordo ꝓcedendi ī hac ma
<
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/>
teria. </
s
>
<
s
xml:id
="
N1D01B
"
xml:space
="
preserve
">primo diſceptabo penes / quid habeat atten-
<
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/>
di velocitas motus difformis qno ab ſubiectū hoc
<
lb
/>
eſt tam vniformiter difformis quã difformiter dif-
<
lb
/>
formis quo ad ſubiectum. </
s
>
<
s
xml:id
="
N1D024
"
xml:space
="
preserve
">Et ſecundo diſputabo pe
<
lb
/>
nes / quid habeat attendi velocitas motꝰ difformis
<
lb
/>
quo ad tempus tam vniformiter difformis ꝙ̄ dif-
<
lb
/>
formiter difformis quãtū ingenioli nr̄i capacitas </
s
>
</
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>
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