Alvarus, Thomas
,
Liber de triplici motu
,
1509
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Primi tractatus
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<
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xml:space
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">Probatur / et ſit illa b. potentia: et arguo ſic / b. potē
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tia nun̄ vniformiter mouetur / vt ptꝫ ex ſecūdo cor
<
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relario prime concluſionis: nec continuo remittit
<
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motū ſuū: nec aliquãdo intendit et īmediate poſtea
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remittit: aut econtra: igitur b. potentia cõtinuo in-
<
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tendit motū ſuū / quod ruit ꝓbandū. </
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<
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xml:space
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">Cõſequētia ptꝫ
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cū maiore, et ꝓbatur prima pars minoris / q2 ſi ſic
<
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detur ꝓportio a qua incipit moueri b. potentia cõ-
<
lb
/>
tinuo remittendo motum ſuū que ſit f. quã habeat ad
<
lb
/>
a. punctū illius reſiſtentie a quo incipiendo moue-
<
lb
/>
ri continuo per te remittit motū ſuū et illud punctū
<
lb
/>
a. incipiat moueri a ꝓportione g. maiore f. / vt opor
<
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tet </
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<
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N1B54E
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xml:space
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">(Alias em̄ b. potentia nõ remitteret motum ſuū) / et
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capio / tunc c. punctū intenſius a. puncto / quod inci-
<
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pit moueri ab h. ꝓportione maiore f. / a qua incipit
<
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/>
moueri b. potentia minori tamen g. proportione a
<
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/>
qua incipit moueri a. punctū: et arguo ſic / b. poten-
<
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/>
tia incipit remittere motum ſuū incipiendo moue-
<
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/>
ri ab a. puncto ſucceſſiue: a. puncto et aliis punctis
<
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/>
intenſioribus verſus potentiã mouentibus et ſequē
<
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tibus eam: igitur per aliquod tempus b. potentia
<
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precedit c. punctū: ſed cõſequens eſt falſum: igitur
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illud ex quo ſequitur. </
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<
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">Cõſequentia eſt nota, et falſi-
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tas conſequentis arguitur, q2 b. potentia et c. pun-
<
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ctum incipiunt in eodē inſtanti moueri ab eodē pū-
<
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/>
cto etc̈. et ipſa b. potentia continuo mouetur a mino
<
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/>
ri ꝓportione quã punctū c: quia a minori f. cõtinuo
<
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/>
cū remittat continuo motum ſuū per te: igitur per
<
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/>
illud tempus continuo c. punctū precedit b. poten-
<
lb
/>
tiam, et per cõſequens b. potentia nõ ꝑ illud tēpus
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precedit c. punctū / quod eſt oppoſitū conſequentis.
<
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</
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<
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">Et ſic patet prima pars minoris. </
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<
s
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xml:space
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">Sed ſecūda ꝓba
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tur videlicet / b. potentia nõ aliquãdo intendit, et
<
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īmediate poſtea remittit, quia ſi ſic detur inſtans /
<
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/>
in quo incipit remittere ante quod īmediate inten-
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debat motum ſuū in quo inſtanti b. potentia ſit in
<
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puncto a. / a quo incipit remittere motum ſuū per te
<
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continuo cū intenſiori puncto mouendo quã ſit a.
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">Capio igitur / vnã partem illiꝰ reſiſteutie termina-
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tam ad a. punctū per quã b. potentia mouendo con
<
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/>
tinuo intendebat motum ſuū, et manifeſtū eſt / ip-
<
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/>
ſa potentia b. ſic continuo intendens motum ſuum
<
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/>
per illam partem mouendo velocius mouetur cum
<
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quolibet puncto illius partis ꝙ̄ ille punctus moue
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tur. </
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<
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xml:space
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">Alias em̄ non continuo b. potentia intenderet
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motum ſuū illam partē tranſeundo. </
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<
s
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xml:space
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">Et ex alia par
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te ipſa potentia b. per te continuo remittit motum
<
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/>
ſuū per illam reſiſtentiã vel aliquã eius partē mo-
<
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/>
uendo: igitur tunc ipſa potentia b. nõ continuo per
<
lb
/>
illam partē mouendo tardius mouetur cum quoli
<
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/>
bet puncto illius partis quã ille punctus mouetur:
<
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ſed cõſequens eſt falſum. </
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<
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xml:space
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">q2 antea quilibet punctus
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illius partis tardius mouebatur quã potentia b.
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ſufficit moueri cū illo: igitur etiam modo cū conti-
<
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nuo quilibet punctus motum ſuum remittat. </
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<
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">Et ſic
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ptꝫ ſecunda pars minoris. </
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<
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xml:space
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">Sed iam tertia ꝓbatur
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videlicet / b. potentia nõ aliquãdo remittit motū
<
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ſuū, et immediate poſtea intendit, quia ſi ſic detur
<
lb
/>
inſtans in quo incipit intendere poſt̄ remittebat /
<
lb
/>
et arguo ſic, quia tunc vel b. potentia continuo an-
<
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/>
tea remittebat, vel aliquando intendebat et īmedia
<
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/>
te remittebat (cum nun̄ poſſit vniformiter moueri
<
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/>
ex ſecundo correlario prime concluſionis) non pri-
<
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/>
mū / vt ptꝫ ex prima parte minoris nec ſecundum / vt
<
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/>
patet ex ſecunda: igitur b. potentia nõ aliquãdo re
<
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mittit motum ſuum, et immediate poſtea intendit /
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quod fuit probandum. </
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<
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xml:space
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">Et ſic patet tertia pars mi-
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noris et ex hoc tota concluſio.
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xml:space
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">1. correĺ.</
note
>
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<
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">¶ Ex quo ſequitur
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Capitulū quartūdecimū.
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primo / vbi in medio non reſiſtente eſt progreſſio
<
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ſiue extenſio latitudinis reſiſtentie vniformiter dif
<
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formis in vtro extremo ad gradum terminate,
<
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quolibet eius puncto intrinſeco continuo remitten
<
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/>
te motum ſuum, quieſcente extremo intenſiori: et re
<
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miſſiori velocius incipiente moueri quã mobile qḋ
<
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in tali reſiſtentia mouetur ſufficit mouere cum illo
<
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et extremo remiſſiori remittente motum ſnū ad non
<
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gradum vel vſ ad motum prouenientē a propor-
<
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tione a qua incipit tale mobile moueri continuo in
<
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tendēs motū ſuū īcluſiue, vel ad minorē: tandē mo-
<
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bile illud ad eodem puncto cum tali reſiſtentia in-
<
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cipiens progredi deueniet ad extremum remiſſiſſi-
<
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mum eiuſdeꝫ latitudinis: dummodo ipſum mobile
<
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continuo / quo ad vſ reſiſtentiã inuenerit moueat̄̄.
<
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<
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">Probatur correlarium / quoniam ſi extremum re-
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miſſius illius reſiſtentie remittat motum ſuum ad
<
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non gradum, vel ad motum illum a quo incipit b.
<
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/>
potentia in caſu concluſionis moueri intendendo
<
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/>
motum ſuum, vel ad minorē ſequitur / cum b. poten-
<
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tia a motu a quo incipit moueri continuo intendit
<
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/>
motum ſuum cum extremum remiſſius illius re-
<
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ſiſtentie remiſerit ſuum motum ad motum a quo b.
<
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potentia incipit moueri, vel ad minorem, b. poten-
<
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/>
tia in certa proportione continuo velocius moue-
<
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tur ꝙ̄ extremum remiſſius illius reſiſtentie cõtinuo
<
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illud extremum inſequendo, et per conſequens tan-
<
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dem in tempore finito illud extremū attinget / quod
<
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fuit probandum. </
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<
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<
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xml:space
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">2. correĺ.</
note
>
<
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<
s
xml:id
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N1B632
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xml:space
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">¶ Sequitur ſecundo / illud idem dici poteſt de re-
<
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ſiſtentia difformi cuius nulla pars eſt vniformis,
<
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cuiuſ omnes partes īmediate ſecundum extenſio
<
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/>
nem ſunt immediate ſeundum intenſionem, vtrin
<
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/>
ad gradum terminata / quod de reſiſtentia vnifor-
<
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miter difformi etc̈. dictum eſt in hac concluſione et
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ſuo correlario. </
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<
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xml:space
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preserve
">Hoc patet ex probatione cõcluſiõis
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et ſui correlarii.
<
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xlink:href
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note-0117-02a
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note-0117-02
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xml:id
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xml:space
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">3. correĺ.</
note
>
</
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>
<
s
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N1B64B
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xml:space
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">¶ Ex his omnibus concluſionibus
<
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ſequitur tertio / quãuis ita ſit vt in concluſiõibus
<
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/>
ponitur quando ſimul ab eodem puncto in eodem
<
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/>
inſtanti per eandem lineam potentia et talis latitu
<
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/>
do reſiſtentie incipiūt progredi ſiue moueri verſus
<
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idem punctum: nõ tamen quando potentia incipe-
<
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ret moueri quãdo illa latitudo iam mouetur. </
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>
<
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xml:id
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N1B65A
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xml:space
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preserve
">Tunc
<
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enim in caſu quarte concluſionis poſſet ipſa poten
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tia intendere motum ſuum, et in caſu quinte conclu
<
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ſionis remittere. </
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>
<
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N1B663
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xml:space
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preserve
">Patet hoc facile / quoniam poſſet
<
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pro aliquo inſtanti poni violenter in aliquo pūcto
<
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/>
quod velocius mouetur quã potentia ſufficiat mo-
<
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ueri cum illo, vel in puncto quod tardius mouetur
<
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/>
quam potentia ſufficit adequate mouere cum illo
<
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et ſic indifferenter intendet motum ſuū vel remittet</
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<
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">Quartumdecimum capitulum: in
<
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quo ponuntur concluſiones de velo-
<
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/>
citate motus in medio non reſiſtente,
<
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/>
in quo eſt progreſſio ſiue extenſio la-
<
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/>
titudinis reſiſtentie nõ gradu aut ex
<
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/>
tremo remiſſiori quieſcente inſequē-
<
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do ordinem et modum calculatoris.</
head
>
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<
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">Expeditis concluſionibus de ve-
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locitate motus in medio non reſiſtente in
<
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quo eſt progreſſio latitudinis reſiſtentie
<
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vniformiter difformis quieſcente extremo intenſio
<
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ri. </
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<
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xml:space
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">Iam reſtat inducere concluſiones de eadem ma
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teria quieſcente non gradu aut extremo remiſſiori
<
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</
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<
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xml:space
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">Quibus inducendis aliquas ſolito more ſuppoſi-
<
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tionis premittam.</
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