Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

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                <s id="s.002327">QVESITO XXVII. FATTO DA M. HIERONI­
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                mo Treuiſano.1536.adi.16. Decembrio in Venetia.
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                <s id="s.002328">MESSER HIERONIMO. E
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                ue ho da dir de nouo.
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                N. C
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                he coſa ui é
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                accaduto meſſer Hieronimo.
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                M. H. H
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                ieri el mi fu à ritrouar un certo
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                don, qual dice eſſer anchora lui Breſſano, el qual ſi fa molto piu grande nelle mathema
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                tice di quello ch'è la grandezza della ſua perſona, et fra le altre coſe gli ho uoluto dir
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                di uoi, & come che haueti letto publicamente il terzodecimo di Euclide in ſan Zuanne
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                polo. </s>
                <s id="s.002329">Lui me ha riſpoſto che uoi haueti letto el detto.13.libro & che non intendeti
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                il decimo. </s>
                <s id="s.002330">Et chel non conoſce huomo, che ben intenda el detto decimo di Euclide ac­
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                cetto che lui.
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                N. E
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                glie ben stato qua da me due uolte & è andato uia per fin da hie
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                ri alla uolta de Breſſa, ma el mi dole che uoi non mi habbiati rifferto queſta ſua bra­
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                uata auanti che lui ſe fuſſe partito perche gli hauria dato quella debbita riſpoſta che
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                à tal ſua arrogantia ſi conuenia. </s>
                <s id="s.002331">Et al preſente mi auedo che lui era uenuto qua per
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                uenire con meco alle conteſe, ma lui per quanto poſſo conſiderare) ſe ha meſſo paura di
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                quella mia inuentioni de capitoli Algebratici quali mi ricer caua con tanta iſtantia.
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                M.
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                H. A
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                dunque le ſtato qua da uoi à ricercarue de quelli uoſtri noui capitoli trouati.
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                N.
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                E
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                l cie stato due uolte.
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                M. H. E
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                t che glihaueti riſposto.
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                N. I
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                o gli ho riſpoſto che
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                ogni uolta che lui proponerauno, ouer piu caſi che io non li ſappia riſoluere mi offe­
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                riſco à baratar con lui. </s>
                <s id="s.002332">Et coſi lui me ne proponete dui, ma io gli dißi, che tai ſuoi ca­
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                ſt io li haueua per coſa facile & che ſe lui mi daſeua termine una hora che io me gli of­
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                ferriua à dargeli ambidui raſolti.
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                M. H. E
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                t come dicano quelli caſi.
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                N. E
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                l pri­
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                mo dice in queſta forma.
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                </s>
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              <p type="main">
                <s id="s.002333">
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                E
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                glie il triangolo rettangolo.a.b.c.del quale langolo.e.é retto & nel detto triango
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                lo ui è in ſcritto il cerchio.e.f.d. </s>
                <s id="s.002334">il cui diametro è.2. & trouo che la linea.a.c.gionta
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                con la.c.b.tal ſumma ſara ſempre equal alla lmea.a.b. </s>
                <s id="s.002335">gionta con el diametro del cer­
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                hio, qual (come detto) è.2.ſe adimanda la cauſa di queſto.
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                </s>
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              <figure id="id.042.01.218.1.jpg" xlink:href="042/01/218/1.jpg" number="94"/>
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                <s id="s.002336">M. H. L
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                a me par difficile.
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                N. A
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                nci la è facilißima & il tutto ſi conclude & di­
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                moſtra per la penultima del terzo di Euelide per la qual ſe uerifica le due linee.a.e.
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                </s>
                <s id="s.002337">&.a.d.eſſer fra loro equale, & ſimelmente le due.b.d.&.b.f.eſſer pur fra loro equa­
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                le & ſimelmente le due.c.e.&.c.f.& queſte due ultime, cioe.c.e.et.c.f.non
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                ſono ſra loro equale, ma per eſſer l'angolo.c. </s>
                <s id="s.002338">retto cadauna de loro uien a eſſer equale
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                </s>
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