Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

Table of handwritten notes

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            motuum compoſitionem ab ipſorum concurſu ſecerno; </s>
            <s xml:id="echoid-s8913" xml:space="preserve">quia nem-
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            pe magnitudinum generatio nunc uno, nunc alio modò faciliús expli-
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            catur. </s>
            <s xml:id="echoid-s8914" xml:space="preserve">Verum ad illos diſtinctius exponendos accedo. </s>
            <s xml:id="echoid-s8915" xml:space="preserve">De compoſitione
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            primum. </s>
            <s xml:id="echoid-s8916" xml:space="preserve">Cùm autem motus duobus modis compoſitus intelligi
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            poſſit; </s>
            <s xml:id="echoid-s8917" xml:space="preserve">vel nt è pluribus motibus aggregatus, vcl ut de pluribus par-
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            ticipans; </s>
            <s xml:id="echoid-s8918" xml:space="preserve">de poſteriore nos diſſertamus; </s>
            <s xml:id="echoid-s8919" xml:space="preserve">quem fortè non meliùs
              <lb/>
            quàm prænobilis Philoſophi verbis, & </s>
            <s xml:id="echoid-s8920" xml:space="preserve">exemplis enucleatum dem.
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            </s>
            <s xml:id="echoid-s8921" xml:space="preserve">
              <note position="left" xlink:label="note-0204-01" xlink:href="note-0204-01a" xml:space="preserve">Carteſ.
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              princ. II.
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              31, 32.</note>
            “Etſi autem (inquit ille) unumquodque corpus habeat tantùm
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            unum motum ſibi proprium, quoniam ab unis tantùm corpori-
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            bus ſibi contiguis, et quieſcentibus recedere intelligitur, parti-
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            cipare tamen etiam poteſt et de aliis innumeris; </s>
            <s xml:id="echoid-s8922" xml:space="preserve">ſi nempe ſit
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            pars aliorum corporum alios motus habentium. </s>
            <s xml:id="echoid-s8923" xml:space="preserve">Ut ſi quis am-
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            bulans in navi _horologium in_ pera geſtet, ejus horologii rotu-
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            læ unico tantùm motu ſibi proprio movebuntur; </s>
            <s xml:id="echoid-s8924" xml:space="preserve">ſed participa-
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            bunt etiam ex alio, quatenus adjunctæ homini ambulanti unam
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            cum illo materiæ partem component; </s>
            <s xml:id="echoid-s8925" xml:space="preserve">et ex alio quatenus erunt
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            adjunctæ navigio in mari fluctuanti; </s>
            <s xml:id="echoid-s8926" xml:space="preserve">et ex alio quatenus ad-
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            junctæ ipſi mari; </s>
            <s xml:id="echoid-s8927" xml:space="preserve">et denique alio, quatenus adjunctæ ipſi terræ,
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            ſiquidem tota terra moveatur. </s>
            <s xml:id="echoid-s8928" xml:space="preserve">Omnesque hi motus revera e-
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            runt in rotulis iſtis, ſed quia non facilè tam multi ſimul intel-
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            ligi, nec etiam omnes agnoſci poſſunt, ſufficiet unicum illum,
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            qui proprius eſt cujusque corporis in ipſo conſiderare. </s>
            <s xml:id="echoid-s8929" xml:space="preserve">Ac præ-
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            tereà ille unicus cujuſque corporis motus, qui ei proprius eſt,
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            inſtar plurium poteſt conſiderari; </s>
            <s xml:id="echoid-s8930" xml:space="preserve">ut cùm in rotis curruum du-
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            os diverſos diſtinguimus, unum ſcilicet circa ipſarum axem, et
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            alium rectum ſecundum longitudinem viæ per quam feruntur.
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            </s>
            <s xml:id="echoid-s8931" xml:space="preserve">Sed quòd ideò tales motus non ſint reverà diſtincti patet ex eo,
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            quòd unumquodque punctum corporis quod movetur unam tan-
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            tùm aliquam lineam deſcribat. </s>
            <s xml:id="echoid-s8932" xml:space="preserve">Nec refert quòd iſta linea ſæpe ſit
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            valde contorta, et ideò à pluribus diverſis motibus genita vi-
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            deatur, quia poſſumus imaginari eodem modo quamcunque li-
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            neam etiam rectam, quæ omnium ſimpliciſſima eſt, ex infini-
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            tis diverſis motibus ortam eſſe. </s>
            <s xml:id="echoid-s8933" xml:space="preserve">Ut ſi linea AB feratur verſus
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            CD, et eodem tempore punctum A feratur verſus B, linea
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              <note position="left" xlink:label="note-0204-02" xlink:href="note-0204-02a" xml:space="preserve">Fig. 16.</note>
            recta AD, quam hoc punctum A deſcribet, non minus pende-
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            bit à duobus motibus rectis, abA in B et ab AB in CD, quàm
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            linea curva, quæ à quovis rotæ puncto deſcribitur, pendet à
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            motu recto et circulari. </s>
            <s xml:id="echoid-s8934" xml:space="preserve">Ac proinde quamvis ſæpe utile ſit u-
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            num motum in plures partes hoc pacto diſtinguere ad facilio-
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            rem ejus perceptionem; </s>
            <s xml:id="echoid-s8935" xml:space="preserve">abſolutè tamen loquendo unus </s>
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