Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <p id="N14C9B" type="main">
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              petus productus in Z eſt æqualis producto in B, cum B pertinet ad ma­
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              iorem vectem; </s>
              <s id="N14CC5">quia vt AC totus maior vectis eſt ad BC ita BC ad
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              ZC: igitur decreſcit perfectio versùs centrum iuxta rationem longi­
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              tudinum. </s>
            </p>
            <p id="N14CCD" type="main">
              <s id="N14CCF">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              110.
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              </s>
            </p>
            <p id="N14CDB" type="main">
              <s id="N14CDD">
                <emph type="italics"/>
              Minima potentia est illa, quæ in extremitate vectis, quæ procul recedit à
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              centro, vnam tantùm partem, vel vnum punctum impetus producit
                <emph.end type="italics"/>
              ; nihil
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              enim minùs produci poteſt, poſito quod potentia applicata ad talem gra­
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              dum perfectionis ſit determinata, id eſt ad producendum impetum talis
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              perfectionis in ea parte ſubjecti, cui applicatur immediatè, vt ſuprà di­
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              ctum eſt. </s>
            </p>
            <p id="N14CF0" type="main">
              <s id="N14CF2">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              111.
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              </s>
            </p>
            <p id="N14CFE" type="main">
              <s id="N14D00">
                <emph type="italics"/>
              Si ſint tantum duo puncta vel duæ partes vectis, illa potentia ad illum mo­
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              uendum ſufficiens motu circulari est ad aliam ſufficientem ad illum mouen­
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              dum motu recto, vt
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              1/2
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              ad
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              2. ſi ſint tria puncta vt 2. ad 3. ſi 4. vt 2. 1/2 ad 4.
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              ſi 5. vt 3. ad 5. ſi 6. vt 3. 1/2 ad 6. atque ita deinceps iuxta hanc propor­
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              tionem in quo non eſt difficultas, cum hoc totum ſequatur ex Th. 109. </s>
            </p>
            <p id="N14D16" type="main">
              <s id="N14D18">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14D24" type="main">
              <s id="N14D26">Obſerua tamen quacumque data potentia poſſe dari minorem; </s>
              <s id="N14D2A">quia
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              quocumque dato motu, etiam recto, poteſt dari tardior; </s>
              <s id="N14D30">igitur quocum­
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              que impetu imperfectior; </s>
              <s id="N14D36">igitur quando appellaui potentiam minimam; </s>
              <s id="N14D3A">
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              intellige illam quæ comparatur cum vnico puncto impetus talis perfe­
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              ctionis; hæc enim reuera minima eſt illarum omnium, quæ poſſunt pro­
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              ducere impetum talis perfectionis, ſi verò comparetur cum impetu im­
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              perfectiore, haud dubiè minima non eſt. </s>
            </p>
            <p id="N14D45" type="main">
              <s id="N14D47">Obſerua præterea ſuppoſitum eſſe hactenus in extremitate vectis ſiue
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              maioris, ſiue minoris, produci impetum eiuſdem perfectionis, eiuſque
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              vnicum punctum, ſeu partem, vnde potentia quæ applicatur maiori vecti
                <lb/>
              conuenit quidem cum ea, quæ applicatur minori in eo, quòd vtraque in
                <lb/>
              extremitate ſui vectis producat vnum punctum impetus eiuſdem perfe­
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              ctionis; differt tamen in eo, quòd illa, quæ applicatur maiori vecti, ſit
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              maior iuxta rationes prædictas in Theoremate. </s>
              <s id="N14D58">v. g. illa, quæ applicatur
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              vecti. </s>
              <s id="N14D61">2. punctorum eſt ad eam, quæ applicatur vecti trium punctorum,
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              ſcu partium, vt 1. 1/2 ad 2. & ſi vectis ſit 4. punctorum ad 2. 1/2; </s>
              <s id="N14D67">ſi 5. ad 3.
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              ſi 6. ad 3. 1/2; </s>
              <s id="N14D6D">ſi 7. ad 4. ſi 8. ad 4. 1/2. Vides egregiam progreſſionem; </s>
              <s id="N14D71">ſit
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              enim vectis 2. punctorum AB, in puncto A, quod eſt extremitas, produ­
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              catur punctum impetus datæ perfectionis, in B producetur aliud, cuius
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              perfectio eſt ſubdupla prioris per Th. 109. igitur caracter, ſeu momen­
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              tum totius impetus eſt 1. 1/2. ſit porrò vectis 4. punctorum CDEF, in
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              C, quod eſt extremitas; </s>
              <s id="N14D7F">producatur vnum punctum impetus eiuſdem
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              perfectionis cum eo, quod productum eſt in A; </s>
              <s id="N14D85">certè in D producetur
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              aliud cuius perfectio erit ad priorem vt 3.ad 4. per idem Th. ſic autem
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              notetur 1/4, in E 2/4, in F 3/4, in C vero 4/4; </s>
              <s id="N14D8D">perfectiones enim ſunt vt lon-</s>
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