Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

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              <p type="main">
                <s id="s.002061">
                  <pb pagenum="97" xlink:href="042/01/194.jpg"/>
                  <emph type="italics"/>
                che ſe pigliaremo ſotto al.d.& al.e.due parti equali nella uia, ouer linea.a.b. </s>
                <s id="s.002062">Hor po
                  <lb/>
                niamo, che l'una ſia la parte.d.e.et laltra la.e.g. </s>
                <s id="s.002063">Dico, che per le dette parti equali ca
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                pira equalmente del diretto, cioe della linea.a.c.la qual coſaſe notificara in queſto mo
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                do, dalli duiponti.e.&.g.ſiano tirate le due linee.e.h.&.g.l.
                  <lb/>
                </s>
                <s id="s.002064">perpendicolare ſopra la linea.a.c.et dalli dui ponti, ouer luo
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                chi.d.&.e.le due linee.d.
                  <emph.end type="italics"/>
                k.
                  <emph type="italics"/>
                &.e.m. </s>
                <s id="s.002065">perpendicolare ſopra
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                le medeſime.e.h.&.g.l.le qual due perpendicolare, cioe.d.
                  <emph.end type="italics"/>
                  <lb/>
                k.
                  <emph type="italics"/>
                &.e.m.ſaranno fra loro equali, perche adunque il detto
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                corpo ponderoſo, ſi eſſendo nel ponto.d.come nel ponto.e.in
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                quantita, ouer deſcenſi equali, capira equalmente del diret­
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                to, ſara di una medeſima grauita in qual ſi uoglia de quelli, ſe
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                condo el ſito, ch'è il propoſito.
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                S.A. </s>
                <s id="s.002066">E
                  <emph type="italics"/>
                ue ho inteſo, ſegui­
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                tate pur.
                  <emph.end type="italics"/>
                N. </s>
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              <figure id="id.042.01.194.1.jpg" xlink:href="042/01/194/1.jpg" number="89"/>
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                <s id="s.002067">QVESITO XLII. PROPOSITIONE XV.</s>
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              <p type="main">
                <s id="s.002068">Se
                  <emph type="italics"/>
                dui corpi graui deſcendano per uie de diuerſe obliquita, & che la proportio­
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                ne delle de clinationi delle due uie, & della grauita de detti corpi ſia fatta una me­
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                deſima, tolta per el medeſimo ordine. </s>
                <s id="s.002069">Anchora la uirtu de luno, e laltro de detti dui
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                corpi graui, in el deſcendere ſara una medeſima.
                  <emph.end type="italics"/>
                S.A. Q
                  <emph type="italics"/>
                ueſta propoſitione mi par
                  <lb/>
                bella, e pero datime anchora un eſſempio chiaro, accio che meglio mipiaccia.
                  <emph.end type="italics"/>
                N. S
                  <emph type="italics"/>
                ia
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                la linea.a.b.c.equidiſtante al orizonte, & ſopra di quella ſia perpendicolarmente e­
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                retta la linea.b.d.& dal ponto.d.deſcendano de qua, & de la le due uie, ouer linee.d.a.
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                </s>
                <s id="s.002070">&.d.c.& ſia la.d.c.di maggior obliquita. </s>
                <s id="s.002071">Per la proportione adunque delle lor de­
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                clinationi, non dico delli lor angoli, ma delle linee per fina alla equidiſtante reſecatio­
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                ne, in la quale equalmente ſummemo del diretto. </s>
                <s id="s.002072">Sia
                  <expan abbr="adũque">adunque</expan>
                la lettera.e.ſuppoſta per
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                un corpo graue posto ſopra la linea.d.c.& un'altro la lettera.h.ſopra la linea.d.a.
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                </s>
                <s id="s.002073">& ſia la proportione della ſimplice grauita del corpo.e.alla ſimplice grauita del cor
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                po.h.ſi come quella della.d.c.alla.d.a. </s>
                <s id="s.002074">Dico li detti dui corpi graui eſſer in tai ſiti, o­
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                uer luochi diuna medeſime uirtu, ouer potentia. </s>
                <s id="s.002075">Et per dimoſtrar queſto, tiro la.d.
                  <emph.end type="italics"/>
                k.
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                  <emph type="italics"/>
                di quella medeſima obliquita, ch'è la.d.c.& imagino un corpo graue ſopra di quella
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                equale a corpo.e.el qual pongo ſia la lettera.g.ma che ſia in diretto con.e.h.cioe e­
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                qualmente diſtanti dalla.c.
                  <emph.end type="italics"/>
                k.H
                  <emph type="italics"/>
                or ſe poßibel è (per lauerſario) che li detti dui corpi
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                e.&.h.non ſiano diuna medeſima, & equal uirtu in tai luochi, adunque luno ſara di
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                maggior uirtu, ouer potentia dell'altro, poniamo adunque, che.e. </s>
                <s id="s.002076">ſia di maggior uir­
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                tu, adunque quello ſara atto à diſcendere, & ſimelmente à far aſcendere, cioe à tirare
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                in ſuſo el corpo.h. </s>
                <s id="s.002077">Hor poniamo (ſe poßibel è) che il detto corpo.e.deſcenda per fina
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                in ponto.l.& che faccia aſcendere il corpo.h.per fin in ponto.m. </s>
                <s id="s.002078">& faccio, ouer che
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                ſegno la.g.n.equale alla.h.m.la quale anchora lei uien à eſſer equale alla.e.l. </s>
                <s id="s.002079">Et dal
                  <expan abbr="põ">pom</expan>
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                to.g.tiro la.g.h.e.la qual ſara perpendicolare ſopra la.d.b.per eſſer li detti tre pon­
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                ti (ouer corpi) g.h.e.ſuppoſti in diretto, & equalmente distanti dalla.
                  <emph.end type="italics"/>
                k.
                  <emph type="italics"/>
                c. & fimel­
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                mente dal ponto.l.ſia tiratala.l.t.equidiſtante alla.c.b.qual ſara pur perpendicolare
                  <emph.end type="italics"/>
                </s>
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