Monantheuil, Henri de, Aristotelis Mechanica, 1599

Page concordance

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                <s id="id.002786">
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                merus ſit
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                vbi eſt
                  <foreign lang="el">a. </foreign>
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                </s>
                <s>hoc enim manet. </s>
                <s id="id.002787">Sint verò
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                  <foreign lang="el">a b</foreign>
                &
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                lineæ ex centro.
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                </s>
                <s id="id.002788">
                  <expan abbr="Quãtò">Quantò</expan>
                igitur fuerit maius
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                id, quod ex
                  <expan abbr="cẽtro">centro</expan>
                , vel ipſum
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                  <foreign lang="el">a g,</foreign>
                tantò plus magnitudo
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                illa transfertur, quod eſt
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                prius demonſtratum. </s>
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              <p type="head">
                <s id="id.002789">COMMENTARIVS. </s>
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                <s id="id.002790">Cvr ſi fuerint.]
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                Huius capitis problema eſt. </s>
                <s id="id.002791">cur lignum lon­
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                gius è medio geſtatum breuiori eiuſdem ponderis difficilius ex
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                humero fertur. </s>
                <s id="id.002792">Cui vt reſpondeat generalem præcedentis ſolutionem
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                reijcit, & eam quæ ſpecialis fuit de agitatione vtriuſque extremi ad­
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                fert, vt quæ reuellat in alium terminum, contorqueat, & premat fe­
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                rentem. </s>
                <s id="id.002793">Hæc autem pendet à maiore diſtantia à medio tanquam cen­
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                tro humeris geſtato.
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              <p type="main">
                <s id="id.002794">
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                Sit igitur lignum
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                longius A B è me­
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                dio C geſtatum.
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                Sit & breuius
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                  <emph type="italics"/>
                D E eiuſdem pon­
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                deris puta decem librarum è medio F geſtatum etiam. </s>
                <s id="id.002796">Quia partes
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                cum pariter multiplicibus ſunt in eadem ratione prop. 15. lib. 5. &
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                eſt A B maior ipſo D E, erit dimidium A C maius dimidio D F.
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                </s>
                <s id="id.002797">Et ſic extremum A magis diſtans à centro C immoto plus mouet,
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                vel mouetur pro natura ſua deorſum. </s>
                <s id="id.002798">Item B. </s>
                <s id="id.002799">Ergo tum A tum B
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                plus impediunt ferentem ex C: quam D & E ex F. </s>
                <s id="id.002800">Quæri hic
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                poſſet cur pondera ſiniſtro humero facilius ferantur, quam dextro.
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                </s>
                <s id="id.002801">Hoc fit, quia dextrum cum
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                ſit ad mouere: ſiniſtrum ad moueri:
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                illud ſi liberum ſit ab onere impoſito ( quod premit ideoque impedit )
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                facilius & maiori vi mouebit. </s>
                <s id="id.002802">Impeditum enim omne minus probe
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                fungitur officio. </s>
                <s id="id.002803">Præterea cum progreßio fiat impulſione vnius cru­
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                ris, & tractione, tum impulſione alterius, melius eſt aliud, quod plus
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                impulſione & tractione valet ab onere liberari. </s>
                <s id="id.002804">Eſt
                  <expan abbr="autẽ">autem</expan>
                  <expan abbr="dextrũ">dextrum</expan>
                crus.
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                </s>
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