Alvarus, Thomas, Liber de triplici motu, 1509

Table of figures

< >
< >
page |< < of 290 > >|
    <echo version="1.0">
      <text xml:lang="la">
        <div xml:id="N10132" level="1" n="1" type="body">
          <div xml:id="N15C17" level="2" n="3" type="other" type-free="pars">
            <div xml:id="N15C22" level="3" n="1" type="other" type-free="tractatus">
              <div xml:id="N18B2D" level="4" n="9" type="chapter" type-free="capitulum">
                <p xml:id="N190B1">
                  <s xml:id="N1910E" xml:space="preserve">
                    <pb chead="Primi tractatus" file="0093" n="93"/>
                  ſexquialtero velocius continuo moueretur quam
                    <lb/>
                  b. / vt conſtat igitur: </s>
                  <s xml:id="N1911E" xml:space="preserve">Sed minor probatur / quia a. po­
                    <lb/>
                  tentia in illo caſu c. medium tranſeundo non remit­
                    <lb/>
                  tit motum ſuum ad non gradum in puncto termi-
                    <lb/>
                  natiuo eiuſdem c. medii: igitur minor vera: </s>
                  <s xml:id="N19127" xml:space="preserve">Antece­
                    <lb/>
                  dens probatur / q2 a. potentia citius deueniet ad pū­
                    <lb/>
                  ctum terminatiuum c. medii quam b. poña: ergo cū
                    <lb/>
                  caſu ſequitur /  a. poña c. medium tranſeundo non
                    <lb/>
                  remittit motum ſuum ad non gradum in pūcto ter­
                    <lb/>
                  minatiuo c. medii etc. </s>
                  <s xml:id="N19134" xml:space="preserve">Probatur antecedens / quia ſi
                    <lb/>
                  a. poña continuo in ſexquialtero velocius mouere-
                    <lb/>
                  tur quam b. poña: eque primo a. et b. deuenirent ad
                    <lb/>
                  pnnctum terminatiuum c. medii. </s>
                  <s xml:id="N1913D" xml:space="preserve">ſed modo a. poten­
                    <lb/>
                  tia mouetur velocius quam tunc: ergo modo citius
                    <lb/>
                  deuenit ad punctum terminatiuum c. medii quaꝫ b.
                    <lb/>
                  potentia: </s>
                  <s xml:id="N19146" xml:space="preserve">Maior patet: et minor ꝓbatur / quia a. po­
                    <lb/>
                  tentia ad punctum initiatiuum c. medii habet maio­
                    <lb/>
                  rem ꝓportionem quam ſexquialteram ad ꝓportio­
                    <lb/>
                  nem b. potentie ad punctum initiatiuum ſecunde ꝑ­
                    <lb/>
                  tis ꝓportionalis c. medii diuiſi in partes ꝓportio-
                    <lb/>
                  nales ꝓportione ſexquialtera: et a. poña nõ deper-
                    <lb/>
                  dit ſubito aliquam latitudinem potentie (vt volo) /
                    <lb/>
                  igitur īmediate poſt inſtans initiatiuum motus a.
                    <lb/>
                  potentia plus quam in ſexquialtero velocius mo-
                    <lb/>
                  uebitur b. poña / quod erat ꝓbandum: </s>
                  <s xml:id="N1915B" xml:space="preserve">Conſequētia
                    <lb/>
                  patet / quia ſi a. potentia ad punctum initiatiuū etc.
                    <lb/>
                  habet maiorem ꝓportionem quam ſexquialteram
                    <lb/>
                  ad ꝓportionem b. potentie ad punctum initiatiuū
                    <lb/>
                  ſecunde partis etc. et a. poña non perdit ſubito ali-
                    <lb/>
                  quam latitudinem potentie: proportio ipſius a. ad
                    <lb/>
                  punctum initiatiuum etc. continet ꝓportionem ſex-
                    <lb/>
                  quialteram ad ꝓportionem ipſius b. ad punctuꝫ in­
                    <lb/>
                  itiatiuum ſecunde partis proportionalis etc. et ali-
                    <lb/>
                  quam proportionem vltra illam. </s>
                  <s xml:id="N19170" xml:space="preserve">quam ꝓportionē
                    <lb/>
                  vltra non ſubito deperdit: et per conſequens īmedi­
                    <lb/>
                  ate poſt inſtans initiatiuum motus a. potentia plꝰ
                    <lb/>
                  quã in ſexquialtero velocius mouebitur b. poña.</s>
                </p>
                <p xml:id="N19179">
                  <s xml:id="N1917A" xml:space="preserve">Et ſic de primo ad vltimum patet conſequentia.</s>
                </p>
                <p xml:id="N1917D">
                  <s xml:id="N1917E" xml:space="preserve">Sed maior probatur videlicet /  a. poña ad pūctuꝫ
                    <lb/>
                  initiatiuum c. medii habet maioreꝫ ꝓportionē quã
                    <lb/>
                  ſexquialteram ad proportionem b. poñe ad pūctuꝫ
                    <lb/>
                  initiatiuum ſecunde partis ꝓportionalis c. medii
                    <lb/>
                  diuiſi etc. quia a. ponã ad punctum initiatiuuꝫ c. me­
                    <lb/>
                  dii habet proportionem ſexquialteram ad ꝓportio­
                    <lb/>
                  nem quam habet b. poña ad ideꝫ punctum / vt patet
                    <lb/>
                  ex caſu: et ꝓportio ipſius b. ad punctum initiatiuuꝫ
                    <lb/>
                  c. medii eſt maior quam ꝓportio eiuſdem b. poten-
                    <lb/>
                  tie ad punctum initiatiuum ſecunde partis ꝓportio­
                    <lb/>
                  nalis: quia b. potentie inuariate minus reſiſtit pun­
                    <lb/>
                  ctum initiatiuum c. medii quam punctum initiuati­
                    <lb/>
                  uum ſecunde partis ꝓportionalis eiuſdem c. medii
                    <lb/>
                  diuiſi etc. / vt conſtat: igitur a. poña ad pūctum īitia-
                    <lb/>
                  tiuum c. medii maiorem habet ꝓportionem quam
                    <lb/>
                  ſexquialteram ad ꝓportionem b. poñe ad punctum
                    <lb/>
                  initiatiuum ſecunde partis ꝓportionalis c. medii
                    <lb/>
                  diuiſi etc. </s>
                  <s xml:id="N191A3" xml:space="preserve">Conſequentia patet / quia maior eſt ꝓpor­
                    <lb/>
                  tio alicuiꝰ tertii adminꝰ quam eiuſdem terti ad ma­
                    <lb/>
                  ius / vt patet ex ſecunda parte.</s>
                </p>
                <note position="left" xml:id="N191AA" xml:space="preserve">Dicitur.</note>
                <p xml:id="N191AE">
                  <s xml:id="N191AF" xml:space="preserve">¶ Dices forte negando ſequelam īmo / vt bene ꝓbat
                    <lb/>
                  argumentuꝫ illud eſt falſum: niſi poña a. ſubito ali­
                    <lb/>
                  quam latitudinem poñe deperderet. </s>
                  <s xml:id="N191B6" xml:space="preserve">Si enim ali-
                    <lb/>
                  qua potentia poneretur ad punctum initiatiuuꝫ c.
                    <lb/>
                  medii cuius ꝓportio ad idem punctum eſſet mille-
                    <lb/>
                  cupla ad ꝓportionē b. poñe ad punctum initiatiuū
                    <lb/>
                  ſecunde partis ꝓportionalis c. medii diuiſi per ꝑ-
                    <lb/>
                  tes ꝓportionales ꝓportione ſexquialtera etc. et illa
                    <lb/>
                  potentia ſic variaretur /  īmediate ab illo puncto ī­
                    <lb/>
                  itiatiuo recedēdo moueretur adequate in ſexquial­
                    <lb/>
                  tero velocius b. poña recedente ad puncto initiatiuo
                    <cb chead="Capitulum nonum"/>
                  ſecunde partis ꝓportionalis verſus extremum ītē-
                    <lb/>
                  ſius et continuo ſic moueretur. </s>
                  <s xml:id="N191CE" xml:space="preserve">tunc vt conſtat tam il­
                    <lb/>
                  la poña quam b. poña eque primū deuenirent ad ex­
                    <lb/>
                  tremuꝫ intenſius c. medii in quo vtra remittit mo­
                    <lb/>
                  tum ſuum ad non gradum: cõtinuo remittendo mo­
                    <lb/>
                  tum ſuum vniformiter: et hoc per illus poñe conti-
                    <lb/>
                  nuam remiſſionem. </s>
                  <s xml:id="N191DB" xml:space="preserve">Sed tunc poña illa ſubito per-
                    <lb/>
                  deret aliquam latitudinem poñe: et etiã ſubito deꝑ­
                    <lb/>
                  deret ꝓportionem quam continet vltra ꝓportiõem
                    <lb/>
                  que eſt ſexquialtera ad ꝓportionem ipſius b. poñe
                    <lb/>
                  ad punctum initiatiuum ſecunde partis ꝓportiona­
                    <lb/>
                  lis c. medii diuiſi etc. </s>
                  <s xml:id="N191E8" xml:space="preserve">Attamē alias non eſt veruꝫ (vt
                    <lb/>
                  dicis) quēadmodum bene probat argumentum.</s>
                </p>
                <p xml:id="N191ED">
                  <s xml:id="N191EE" xml:space="preserve">Sed contra / quia vbi aliqua potentia
                    <lb/>
                  inuariata aliquod medium inuariatum tranſeun-
                    <lb/>
                  do continuo vniformiter remittit motum ſuum vſ
                    <lb/>
                  ad non gradum in puncto terminatiuo eiuſdē me-
                    <lb/>
                  dii in extremo intenſiori: omnis ponã maior idem
                    <lb/>
                  medium tranſeundo adequate: vniformiter conti-
                    <lb/>
                  nuo remittit motum ſuum vſ ad nõ gradum in eo­
                    <lb/>
                  dem puncto terminatiuo per continuam ſue potētie
                    <lb/>
                  ſucceſſiuam remiſſionem: igitur ſolutio nulla. </s>
                  <s xml:id="N19201" xml:space="preserve">Ante­
                    <lb/>
                  cedens probatur ſupponendo /  īter quodlibet pū­
                    <lb/>
                  ctum intrinſecum cuiuſuis medii per quod inuaria­
                    <lb/>
                  tum aliqua poña inuariata continuo vniformiter
                    <lb/>
                  remittit motum ſuum ad non gradum in extremo ī­
                    <lb/>
                  tenſiori, et pūctum initiatiuum eiuſdem medii, me­
                    <lb/>
                  diat prima pars ꝓportionalis illius medii diuiſi
                    <lb/>
                  ꝓportione dupla ad ꝓportionem in qua ſe habet
                    <lb/>
                  ꝓportio illius poñe ad punctum initiatiuum ad ꝓ­
                    <lb/>
                  portionem eiuſdem poñe addatum pūctum intrin­
                    <lb/>
                  ſecum. </s>
                  <s xml:id="N19218" xml:space="preserve">Exemplū / vt poſito /  b. poña īuariata c. me-
                    <lb/>
                  dium īuariatum tranſeundo vniformiter continuo
                    <lb/>
                  remittat motum ſum vſ ad non gradum in extre-
                    <lb/>
                  mo intenſiori et dato vno puncto intrinſeco ad quē
                    <lb/>
                  talis poña b. habeat ꝓportionem in duplo mino-
                    <lb/>
                  rem quam ſit ꝓportio quam habeat ad punctuꝫ ini­
                    <lb/>
                  tiatiuum / tunc inter punctum īitiatiuum et illud pū-
                    <lb/>
                  ctum intrinſecum mediat prima pars ꝓportiona-
                    <lb/>
                  lis illius medii diuiſi ꝓportione quadrupla dupla
                    <lb/>
                  duple. </s>
                  <s xml:id="N1922D" xml:space="preserve">Quod ſic probatur / quia inter punctum ini-
                    <lb/>
                  tiatiuum illius c. medii et punctum intrinſecum eiuſ­
                    <lb/>
                  dem ad quod b. poña habet in duplo minorem pro­
                    <lb/>
                  portionem quam ad punctum initiatiuum: mediat
                    <lb/>
                  prima pars ꝓportionalis c. medii adequate diuiſi
                    <lb/>
                  per partes ꝓportionales proportione quadrupla
                    <lb/>
                  quia inter illa puncta mediant tres quarte que ſūt
                    <lb/>
                  prima ꝓportionalis ꝓportione quadrupla: quoni­
                    <lb/>
                  am in inſtanti medio totius temporis. </s>
                  <s xml:id="N19240" xml:space="preserve">in quo ade-
                    <lb/>
                  quate b. poña c. medium pertranſit continuo remit­
                    <lb/>
                  tendo motum ſuum vſ ad non gradum erit b. po­
                    <lb/>
                  tentia ad punctum terminatiuum trium quartarū
                    <lb/>
                  ab eadē b. ponã pertranſitarum: et in inſtanti me-
                    <lb/>
                  dio totius illius temporis habebit ad punctum in
                    <lb/>
                  quo / tunc eſt ꝓportionem ſubduplam ad ꝓportio-
                    <lb/>
                  nem quam habet ad punctum initiatiatiuum eiuſ-
                    <lb/>
                  dem c. medii quia perdit ſuam ꝓportionem vnifor­
                    <lb/>
                  miter continuo: igitur inter punctum initiatiuuꝫ c.
                    <lb/>
                  medii et punctum ad quod b. poña habet ꝓportio-
                    <lb/>
                  nem in duplo minorem ꝙ̄ habeat eadem b. potētia
                    <lb/>
                  ad punctum īitiatiuum mediant tres quarte: et per
                    <lb/>
                  conſequens prima pars ꝓportionalis c. medii pro­
                    <lb/>
                  portione quadrupla: quod fuit probandum </s>
                  <s xml:id="N1925F" xml:space="preserve">Item
                    <lb/>
                  īter punctum īitiatiuum c. medii et pūctum ad quod
                    <lb/>
                  b. poña habet in ſexquitertio minorem ꝓportioneꝫ
                    <lb/>
                  ̄ ad punctum īitiatiuum mediat prima pars pro­
                    <lb/>
                  portionalis c. medii proportione ſupraſeptipartiē­
                    <lb/>
                  te nonas que eſt dupla ad ſexquitertiam. </s>
                  <s xml:id="N1926C" xml:space="preserve">quia īter </s>
                </p>
              </div>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum