Bošković, Ruđer Josip, Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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            directiones vel productæ ex parte poſteriore ingre liuntur trian-
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            gulum, ſed tendunt ad partes ipſi contrarias, ut CZ, vel ex-
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            tra triangulum utrinque abeunt ad partes oppoſitas directioni
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            CZ reſpectu AB. </s>
            <s xml:space="preserve">Quod ſi habeatur CX, quam exponunt
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            CV, CY, tum illi reſpondent BP, & </s>
            <s xml:space="preserve">AL, ac ſi prima
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            conjungitur cum BN, jam habetur BO ingrediens triangu-
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            lum; </s>
            <s xml:space="preserve">ſi BR, tum habetur quidem BQ, cadens etiam ipſa
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            extra triangulum, ut cadit ipſa CX; </s>
            <s xml:space="preserve">ſed ſecunda AL junge-
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            tur cum AI, & </s>
            <s xml:space="preserve">habebitur AK, quæ producta ad partes A
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            ingredietur triangulum. </s>
            <s xml:space="preserve">Eodem autem argumento cum vi Cb
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            vel conjungitur AF ingrediens triangulum, vel BS, quæ pro-
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            ducta ad B triangulum itidem ingreditur. </s>
            <s xml:space="preserve">Quamobrem ſem-
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            per aliqua ingreditur, & </s>
            <s xml:space="preserve">tum de reliquis binis redeunt, quæ
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            dicta ſunt in caſu virium Ce, CZ.</s>
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            <s xml:space="preserve">309. </s>
            <s xml:space="preserve">Habetur igitur hoc theorema. </s>
            <s xml:space="preserve">Quando tres maſſæ in
              <lb/>
              <note position="left" xlink:label="note-0196-01" xlink:href="note-0196-01a" xml:space="preserve">Theorema per-
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              tinens ad dire-
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              c
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              tiones virium.</note>
            ſe invicem agunt viribus directis ad centra gravitatis, vis com-
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            poſita ſaltem unius habet directionem, quæ ſaltem producta ad
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            partes oppoſitas ſecat angulum internum trianguli, & </s>
            <s xml:space="preserve">ipſum in-
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            greditur: </s>
            <s xml:space="preserve">reliquæ autem duæ vel ſimul ingrediuntur, vel ſimul
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            evitant, & </s>
            <s xml:space="preserve">ſemper diriguntur ad eandem plagam reſpectu lateris
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            jungentis earum duarum maſſarum centra; </s>
            <s xml:space="preserve">ac in primo caſu vel
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            omnes tres tendunt ad interiora trianguli jacendo in angulis inter-
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            nis, vel omnes tres ad exteriora in partes triangulo oppoſitas ja-
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            cendo in angulis ad verticem oppoſitis; </s>
            <s xml:space="preserve">in ſecundo vero caſu reſpe-
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            ctu lateris jungentis eas binas maſſas tendunt in plagas oppoſitas
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            ei, in quam tendit vis illa prioris maſſæ.</s>
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            <s xml:space="preserve">310. </s>
            <s xml:space="preserve">Sed eſt adhuc elegantius theorema, quod ad directio-
              <lb/>
              <note position="left" xlink:label="note-0196-02" xlink:href="note-0196-02a" xml:space="preserve">Theorema ele.
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              gantius ad eas
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                <gap/>
              ertinens cum
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              ejus demonſtra-
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              tione.</note>
            nem pertinet, nimirum: </s>
            <s xml:space="preserve">omnium trium compoſitarum virium di-
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            rectiones utrinque productæ tranſeunt per idem punctum: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſi id
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            jaceat intra triangulum; </s>
            <s xml:space="preserve">vel omnes ſimul tendunt ad ipſum, vel
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            omnes ſimul ad partes ipſi contrarias: </s>
            <s xml:space="preserve">ſi vero jaceat extra trian-
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            gulum; </s>
            <s xml:space="preserve">binæ, quarum directiones non ingrediuntur triangulum,
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            tendunt ad ipſum, ac tertia, cujus directio triangulum ingreditur,
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            tendit ad partes ipſi contrarias; </s>
            <s xml:space="preserve">vel illæ binæ ad partes ipſi con,
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            trarias, & </s>
            <s xml:space="preserve">tertia ad ipſum.</s>
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            <s xml:space="preserve">Prima pars, quod omnes tranſeant per idem punctum, ſic
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            demonſtratur. </s>
            <s xml:space="preserve">In figura quavis a 57 ad 62, quæ omnes caſus
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            exhibent, vis pertinens ad C ſit ea, quæ triangulum ingredi-
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              <note position="left" xlink:label="note-0196-03" xlink:href="note-0196-03a" xml:space="preserve">Fig. 57.
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              58.
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              .
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              .
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              .
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              62.</note>
            tur, ac reliquæ binæ HA, QB concurrant in D: </s>
            <s xml:space="preserve">oportet
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            demonſtrare, vim etiam, quæ pertinet ad C, dirigi ad D.
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            </s>
            <s xml:space="preserve">Sint CV, Cd vires componentes, ac ducta CD, ducatur
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            VT paral
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            ela CA, occurrens CD in T; </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">ſi oſtenſum fue-
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            rit, ipſam fore æqualem Cd; </s>
            <s xml:space="preserve">res erit perfecta: </s>
            <s xml:space="preserve">ducta enim
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            d T remanebit CV Td parallelogrammum, per cujus diagona-
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            lem CT dirigetur vis compoſita ex CV, Cd. </s>
            <s xml:space="preserve">Ejuſmodi au-
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            tem æqualitas demonſtrabitur conſiderando rationem CV ad
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            Cd compoſitam ex quinque intermediis, CV ad BP, BP ad
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            PQ, PQ, ſive BR ad AI, AI, ſive HG ad AG, AG </s>
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