Bošković, Ruđer Josip, Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium

Table of handwritten notes

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            ris, ac Gubernatoris ſupremi infinita perfectio. </s>
            <s xml:space="preserve">4. </s>
            <s xml:space="preserve">Nefas eſt, violentas ſibi
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            manus afferre quamcunque ob cauſam, niſi Deo jubente. </s>
            <s xml:space="preserve">5. </s>
            <s xml:space="preserve">Contra inju-
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            ſtum vitæ ac fortunarum aggreſſorem licet violenta etiam defenſione uti.
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            </s>
            <s xml:space="preserve">6. </s>
            <s xml:space="preserve">Omne mendacium jure naturæ eſt vetitum. </s>
            <s xml:space="preserve">7. </s>
            <s xml:space="preserve">Dominium rerum, ejus-
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            que per occupationem adquiſitio a J
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            ure naturæ proprie tali originem non babet. </s>
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            8. </s>
            <s xml:space="preserve">Pacta, quibus metus ab alterutero paciſcentium injuſte incuſſus, aut do-
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            lus ab uno eorum commiſſus cauſſam dat, probabilius J
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            ure naturæ irrita ſunt. </s>
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            9. </s>
            <s xml:space="preserve">Uſuræ, quæ ex mutuo præciſe, non accedente alio juſto titulo exigun-
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            tur, naturali juſtitiæ repugnant. </s>
            <s xml:space="preserve">10. </s>
            <s xml:space="preserve">Poteſtate paterna præciſe, aut berili
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            jus vitæ ac necis in liberos & </s>
            <s xml:space="preserve">ſervos non continetur.</s>
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          <head style="it" xml:space="preserve">EX MATHESI.</head>
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            <s xml:space="preserve">1. </s>
            <s xml:space="preserve">Triangula ſunt æqualia, quæ latera bomologa tria babent æqualia,
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            vel unum angulum, & </s>
            <s xml:space="preserve">duo latera bomologa, vel unum latus, & </s>
            <s xml:space="preserve">duos an-
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            gulos adjacentes. </s>
            <s xml:space="preserve">2. </s>
            <s xml:space="preserve">Si parallelas ſecet transverſa angulia externi ſunt æqua-
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            les alternis internis oppoſitis; </s>
            <s xml:space="preserve">anguli alterni interni oppoſiti ſunt æquales;
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            </s>
            <s xml:space="preserve">duo interni, vel externi ad eandem partem poſiti = 180.</s>
            <s xml:space="preserve">° 3. </s>
            <s xml:space="preserve">Angulus ad
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            punctum contactus inter tangentem, & </s>
            <s xml:space="preserve">cbordam babet menſuram dimidium ar-
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            cum, quem cborda ſubtendit. </s>
            <s xml:space="preserve">4. </s>
            <s xml:space="preserve">Tres Anguli trianguli = 180°; </s>
            <s xml:space="preserve">angulus
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            vero externus eſt = duobus internis oppoſitis. </s>
            <s xml:space="preserve">5. </s>
            <s xml:space="preserve">Quadratum bypotenuſæ =
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            ſummæ quadratorum laterum. </s>
            <s xml:space="preserve">6. </s>
            <s xml:space="preserve">Aream parallelogrammi, trianguli, po-
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            lygoni regularis, aut irregularis, circuli, ſectoris, aut ſegmenti circuli repe-
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            rire. </s>
            <s xml:space="preserve">7. </s>
            <s xml:space="preserve">Superficiem, & </s>
            <s xml:space="preserve">ſoliditatem prismatis, cylindri, pyramidis, coni,
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            Spbæræ invenire. </s>
            <s xml:space="preserve">8. </s>
            <s xml:space="preserve">In triangulo ſinus angulorum ſunt, ut latera oppoſita. </s>
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            9. </s>
            <s xml:space="preserve">Item eſt latus maximum ad ſummam reliquorum, ut differentia eorundem
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            laterum ad differentiam ſegmentorum baſeos. </s>
            <s xml:space="preserve">10. </s>
            <s xml:space="preserve">Item ſumma duorum late-
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            rum ad differentiam, ut tangens ſemmiſummæ angulorum ad baſim ad tan-
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            gentem ſemidifferentiæ.</s>
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