Ibn-al-Haitam, al-Hasan Ibn-al-Hasan; Witelo; Risner, Friedrich, Opticae thesavrvs Alhazeni Arabis libri septem, nunc primùm editi. Eivsdem liber De Crepvscvlis & Nubium ascensionibus. Item Vitellonis Thuvringopoloni Libri X. Omnes instaurati, figuris illustrati & aucti, adiectis etiam in Alhazenum commentarijs, a Federico Risnero, 1572

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        </div>
        <div xml:id="echoid-div6" type="section" level="0" n="0">
          <head xml:id="echoid-head21" xml:space="preserve">CANDIDO LECTORI</head>
          <p style="it">
            <s xml:id="echoid-s99" xml:space="preserve">DVo ſunt, candide Lector, de quib{us} te paucis admonendum hic duxim{us}.</s>
            <s xml:id="echoid-s100" xml:space="preserve"> Primum ect, quòd ea, quæ commentario-
              <lb/>
            rum uice in Alhazeno paßim inſeruim{us}, duab{us} clauſulis (ut uocant) ſic [ ] incluſimus.</s>
            <s xml:id="echoid-s101" xml:space="preserve"> Alterum, quòd in fir-
              <lb/>
            mamentis demonſtrationum è uarijs géometris allegandis γραφι\~Ν
              <unsure/>
            quadam breuitate uſi ſum{us}:</s>
            <s xml:id="echoid-s102" xml:space="preserve"> & Euclidis
              <lb/>
            quidem propoſitiones omiſſo nomine hoc modo notauim{us}:</s>
            <s xml:id="echoid-s103" xml:space="preserve"> per 29 p 1.</s>
            <s xml:id="echoid-s104" xml:space="preserve">1 αχ.</s>
            <s xml:id="echoid-s105" xml:space="preserve"> 4 p.</s>
            <s xml:id="echoid-s106" xml:space="preserve"> 1 d 6:</s>
            <s xml:id="echoid-s107" xml:space="preserve"> id ect per 29 propoſitionem 1 li-
              <lb/>
            bri:</s>
            <s xml:id="echoid-s108" xml:space="preserve"> 1 axioma.</s>
            <s xml:id="echoid-s109" xml:space="preserve"> 4 propoſitionem.</s>
            <s xml:id="echoid-s110" xml:space="preserve"> 1 definitionem 6 libri elementorum Euclidis, &c.</s>
            <s xml:id="echoid-s111" xml:space="preserve"> In reliquorum uerò geometrarum al-
              <lb/>
            legationib{us} ſimiliter numeros theorematis & libri literis th (theorema ſignificantib{us}) inter utrũq;</s>
            <s xml:id="echoid-s112" xml:space="preserve"> intermedijs unà cun
              <gap/>
              <lb/>
            nomine adiecim{us}.</s>
            <s xml:id="echoid-s113" xml:space="preserve"> Alhazeni autem propoſitiones (in qu{as} à nobis diſtinctus ect) differentiæ breuitatisq́;</s>
            <s xml:id="echoid-s114" xml:space="preserve"> cauſſa in citandis
              <lb/>
            Euclidis & Alhazeni propoſitionib{us} numeros appellauim{us}:</s>
            <s xml:id="echoid-s115" xml:space="preserve"> ij q́;</s>
            <s xml:id="echoid-s116" xml:space="preserve"> it a nobis notati ſunt:</s>
            <s xml:id="echoid-s117" xml:space="preserve"> per 19 n 1.</s>
            <s xml:id="echoid-s118" xml:space="preserve">14 n 2.</s>
            <s xml:id="echoid-s119" xml:space="preserve">13 n.</s>
            <s xml:id="echoid-s120" xml:space="preserve"> id ect per
              <lb/>
            19 numerum 1 libri optices Alhazeni.</s>
            <s xml:id="echoid-s121" xml:space="preserve"> 14 numerum 2 libri.</s>
            <s xml:id="echoid-s122" xml:space="preserve"> 13 numerum:</s>
            <s xml:id="echoid-s123" xml:space="preserve"> ei{us} nimirum libri, in quo fit iſta allegatio:</s>
            <s xml:id="echoid-s124" xml:space="preserve"> id
              <lb/>
            ect per 13 numerum primi, ſecundi, tertij, &c.</s>
            <s xml:id="echoid-s125" xml:space="preserve"> libri optices Albazeni, ſi ille numer{us} in primo, ſecundo, tertio, &c.</s>
            <s xml:id="echoid-s126" xml:space="preserve"> libro
              <lb/>
            optices Albazeni allegat{us} ſit.</s>
            <s xml:id="echoid-s127" xml:space="preserve"> Quod ad errata attinet, placuit ea in ueſtibulo libri adſcribere, quò emendare uolenti in
              <lb/>
            promptu eſſent:</s>
            <s xml:id="echoid-s128" xml:space="preserve"> ubi prim{us} numer{us} paginam, ſecund{us} lineam indicat.</s>
            <s xml:id="echoid-s129" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s130" xml:space="preserve">Pagina 4.</s>
            <s xml:id="echoid-s131" xml:space="preserve"> linea 55 centrum.</s>
            <s xml:id="echoid-s132" xml:space="preserve"> 7.</s>
            <s xml:id="echoid-s133" xml:space="preserve"> ult.</s>
            <s xml:id="echoid-s134" xml:space="preserve"> unaquaq;</s>
            <s xml:id="echoid-s135" xml:space="preserve">. 16.</s>
            <s xml:id="echoid-s136" xml:space="preserve">35 ultimum.</s>
            <s xml:id="echoid-s137" xml:space="preserve"> 26.</s>
            <s xml:id="echoid-s138" xml:space="preserve">22 earum.</s>
            <s xml:id="echoid-s139" xml:space="preserve"> 34.</s>
            <s xml:id="echoid-s140" xml:space="preserve">23 & 24 humiditas.</s>
            <s xml:id="echoid-s141" xml:space="preserve"> 41.</s>
            <s xml:id="echoid-s142" xml:space="preserve">46
              <lb/>
            certitudinẽ.</s>
            <s xml:id="echoid-s143" xml:space="preserve"> 61.</s>
            <s xml:id="echoid-s144" xml:space="preserve">1 pro 711,111.</s>
            <s xml:id="echoid-s145" xml:space="preserve"> 67.</s>
            <s xml:id="echoid-s146" xml:space="preserve">16 formarũ.</s>
            <s xml:id="echoid-s147" xml:space="preserve"> 80.</s>
            <s xml:id="echoid-s148" xml:space="preserve">60 poſitio.</s>
            <s xml:id="echoid-s149" xml:space="preserve"> .</s>
            <s xml:id="echoid-s150" xml:space="preserve">81.</s>
            <s xml:id="echoid-s151" xml:space="preserve">82 figurarũlloca permutata ſunt.</s>
            <s xml:id="echoid-s152" xml:space="preserve"> 83.</s>
            <s xml:id="echoid-s153" xml:space="preserve">56 poſi
              <lb/>
            tio.</s>
            <s xml:id="echoid-s154" xml:space="preserve"> 93.</s>
            <s xml:id="echoid-s155" xml:space="preserve">28 poſt iterũ, adde in.</s>
            <s xml:id="echoid-s156" xml:space="preserve"> 106.</s>
            <s xml:id="echoid-s157" xml:space="preserve">53 utroq;</s>
            <s xml:id="echoid-s158" xml:space="preserve">. 111.</s>
            <s xml:id="echoid-s159" xml:space="preserve">10 lucis.</s>
            <s xml:id="echoid-s160" xml:space="preserve"> 134.</s>
            <s xml:id="echoid-s161" xml:space="preserve">60 angulus age.</s>
            <s xml:id="echoid-s162" xml:space="preserve"> 135.</s>
            <s xml:id="echoid-s163" xml:space="preserve">14 poſt lineis ponè colon, &
              <lb/>
            poſt reflexionis, comma.</s>
            <s xml:id="echoid-s164" xml:space="preserve"> 142.</s>
            <s xml:id="echoid-s165" xml:space="preserve">11 uiſu & uiſibili.</s>
            <s xml:id="echoid-s166" xml:space="preserve"> 146.</s>
            <s xml:id="echoid-s167" xml:space="preserve">31 concurret.</s>
            <s xml:id="echoid-s168" xml:space="preserve"> 156.</s>
            <s xml:id="echoid-s169" xml:space="preserve">49 pro 44 poſt exteriore, repone 45-
              <lb/>
            159.</s>
            <s xml:id="echoid-s170" xml:space="preserve">26 æquidiſtans.</s>
            <s xml:id="echoid-s171" xml:space="preserve"> 181.</s>
            <s xml:id="echoid-s172" xml:space="preserve">36 & 37 pro ibi, ubi.</s>
            <s xml:id="echoid-s173" xml:space="preserve"> 185.</s>
            <s xml:id="echoid-s174" xml:space="preserve">12 pro t, b.</s>
            <s xml:id="echoid-s175" xml:space="preserve"> 189.</s>
            <s xml:id="echoid-s176" xml:space="preserve">6 fit.</s>
            <s xml:id="echoid-s177" xml:space="preserve"> 194.</s>
            <s xml:id="echoid-s178" xml:space="preserve">53 & 54 pro œ, œ d.</s>
            <s xml:id="echoid-s179" xml:space="preserve"> ibid.</s>
            <s xml:id="echoid-s180" xml:space="preserve"> 62 pro i
              <lb/>
            poſt a g, repone &.</s>
            <s xml:id="echoid-s181" xml:space="preserve"> 197.</s>
            <s xml:id="echoid-s182" xml:space="preserve">15 pro 4,45.</s>
            <s xml:id="echoid-s183" xml:space="preserve"> Pag.</s>
            <s xml:id="echoid-s184" xml:space="preserve"> 201 figura prior 15 numeri, quæ ad ſiniſtram eſt, pertinet ad 14 nume
              <lb/>
            rum præcedentem:</s>
            <s xml:id="echoid-s185" xml:space="preserve"> neq;</s>
            <s xml:id="echoid-s186" xml:space="preserve"> enim ſuo quamq;</s>
            <s xml:id="echoid-s187" xml:space="preserve"> loco collocari compoſitionis, ut uocant, ratio permiſit.</s>
            <s xml:id="echoid-s188" xml:space="preserve"> 205.</s>
            <s xml:id="echoid-s189" xml:space="preserve">1 z q l.</s>
            <s xml:id="echoid-s190" xml:space="preserve">
              <lb/>
            211.</s>
            <s xml:id="echoid-s191" xml:space="preserve">21 poſt le tolle comma.</s>
            <s xml:id="echoid-s192" xml:space="preserve"> 213.</s>
            <s xml:id="echoid-s193" xml:space="preserve">43 ſpeculιs.</s>
            <s xml:id="echoid-s194" xml:space="preserve"> 217.</s>
            <s xml:id="echoid-s195" xml:space="preserve">39 pro 4, 41.</s>
            <s xml:id="echoid-s196" xml:space="preserve"> 219.</s>
            <s xml:id="echoid-s197" xml:space="preserve">39 pro erit, reflectetur, & pro in, ex.</s>
            <s xml:id="echoid-s198" xml:space="preserve"> Pagina
              <lb/>
            221 in figura litera proximè infra rin linea gr propter linearum concurſum obſcurior, eſt k.</s>
            <s xml:id="echoid-s199" xml:space="preserve"> 223.</s>
            <s xml:id="echoid-s200" xml:space="preserve">17 peripheria
              <lb/>
            a z.</s>
            <s xml:id="echoid-s201" xml:space="preserve"> 226.</s>
            <s xml:id="echoid-s202" xml:space="preserve">28 perueniat ergo.</s>
            <s xml:id="echoid-s203" xml:space="preserve"> 229.</s>
            <s xml:id="echoid-s204" xml:space="preserve">58 tranſeunte.</s>
            <s xml:id="echoid-s205" xml:space="preserve"> 237.</s>
            <s xml:id="echoid-s206" xml:space="preserve">21 poſt laminæ adde, & inter ſuperficiem laminæ.</s>
            <s xml:id="echoid-s207" xml:space="preserve"> Ibid.</s>
            <s xml:id="echoid-s208" xml:space="preserve"> 35
              <lb/>
            dele fit.</s>
            <s xml:id="echoid-s209" xml:space="preserve"> 240.</s>
            <s xml:id="echoid-s210" xml:space="preserve">46 exiſtunt.</s>
            <s xml:id="echoid-s211" xml:space="preserve"> 250.</s>
            <s xml:id="echoid-s212" xml:space="preserve">55 lineam.</s>
            <s xml:id="echoid-s213" xml:space="preserve"> 252.</s>
            <s xml:id="echoid-s214" xml:space="preserve">7 poſt eleuatio, pone comma.</s>
            <s xml:id="echoid-s215" xml:space="preserve"> Ibid.</s>
            <s xml:id="echoid-s216" xml:space="preserve"> 19 k b g.</s>
            <s xml:id="echoid-s217" xml:space="preserve"> Ibid.</s>
            <s xml:id="echoid-s218" xml:space="preserve"> in figura po-
              <lb/>
            natur litera a è regione e centri mundi ad peripheriam meridiani b g.</s>
            <s xml:id="echoid-s219" xml:space="preserve"> Ibid.</s>
            <s xml:id="echoid-s220" xml:space="preserve"> 49 exiſtunt.</s>
            <s xml:id="echoid-s221" xml:space="preserve"> 255.</s>
            <s xml:id="echoid-s222" xml:space="preserve">57 pro in, à.</s>
            <s xml:id="echoid-s223" xml:space="preserve"> 258
              <lb/>
            in ſecunda figura ad terminum lineæ fo continuatæ, pone literam q.</s>
            <s xml:id="echoid-s224" xml:space="preserve"> 266.</s>
            <s xml:id="echoid-s225" xml:space="preserve">48 tolle &.</s>
            <s xml:id="echoid-s226" xml:space="preserve"> Pag.</s>
            <s xml:id="echoid-s227" xml:space="preserve"> 273 in prima figu-
              <lb/>
            ra ad terminum lineæ d m continuatæ pone literam e.</s>
            <s xml:id="echoid-s228" xml:space="preserve"> Pagina 275 ſub numero 45 duæ figuræ cõiunctæ ſunt,
              <lb/>
            quarum poſterior, quæ ad dextram eſt, pertinet ad 46 numerum:</s>
            <s xml:id="echoid-s229" xml:space="preserve"> ad quem prior quoq;</s>
            <s xml:id="echoid-s230" xml:space="preserve"> figura 47 numeri refer-
              <lb/>
            ri debet.</s>
            <s xml:id="echoid-s231" xml:space="preserve"> 281.</s>
            <s xml:id="echoid-s232" xml:space="preserve">38 poſt diuerſæ dele comma.</s>
            <s xml:id="echoid-s233" xml:space="preserve"> 285.</s>
            <s xml:id="echoid-s234" xml:space="preserve">23 pro e, ei.</s>
            <s xml:id="echoid-s235" xml:space="preserve"> 286.</s>
            <s xml:id="echoid-s236" xml:space="preserve">51 reſtant.</s>
            <s xml:id="echoid-s237" xml:space="preserve"> 288.</s>
            <s xml:id="echoid-s238" xml:space="preserve">58 pro 48,40.</s>
            <s xml:id="echoid-s239" xml:space="preserve"> Deniq;</s>
            <s xml:id="echoid-s240" xml:space="preserve"> illud e-
              <lb/>
            tiam in erratis reponere placuit, quod in commentarijs ad quartam & tertiam figuras 64 n 5 prætermiſſum eſt:</s>
            <s xml:id="echoid-s241" xml:space="preserve">
              <lb/>
            nempe.</s>
            <s xml:id="echoid-s242" xml:space="preserve"> [Quando imago uidetur in puncto a:</s>
            <s xml:id="echoid-s243" xml:space="preserve"> & b q, quæ parallela ducitur ipſi a l, cadit extra triangulum at
              <lb/>
            g:</s>
            <s xml:id="echoid-s244" xml:space="preserve"> tum omiſſa b q & oſtenſa æqualitate linearum a g, a t, ut prius, breuius per 3 p 6 propoſitum concludetur.</s>
            <s xml:id="echoid-s245" xml:space="preserve">
              <lb/>
            Erit enim ut b e ad e a, ſic b g ad a g, id eſt per 7 p 5 ad a l:</s>
            <s xml:id="echoid-s246" xml:space="preserve"> ſed ut b g ad a l, ſic b t ad t a propter ſimilitudinem
              <lb/>
            triangulorum b g t, a l t.</s>
            <s xml:id="echoid-s247" xml:space="preserve"> Ergo per 11 p 5 ut b e ad e a, fic b t ad t a.</s>
            <s xml:id="echoid-s248" xml:space="preserve"> Eodem modo cadente b q intra triangulum a
              <lb/>
            g t:</s>
            <s xml:id="echoid-s249" xml:space="preserve"> breuior & facilior abſq;</s>
            <s xml:id="echoid-s250" xml:space="preserve"> linea a l erit demonſtratio.</s>
            <s xml:id="echoid-s251" xml:space="preserve">]</s>
          </p>
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