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

Table of figures

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[Figure 211]
Page: 243
[212] a h e d c b k q l g f
Page: 247
[213] a d c g b e f
Page: 248
[214] k n m x b l p f s u z y t
Page: 250
[215] k n b l o q f g u z
Page: 251
[216] k n m b l d p o q f g u
Page: 252
[217] k b d o f u g z r e a
Page: 255
[218] k h b m z d e a t i g
Page: 258
[219] h m k o n q e f p g i
Page: 260
[220] a k h g p d b c l
Page: 262
[221] a p h f l g e o k a n m e z q b
Page: 263
[222] a f h p g o e k d m n c q z b
Page: 263
[223] a f h p l g o e k d b m c q z n
Page: 264
[224] a f l p g e o k d b n m c z
Page: 264
[225] h a b g e f d e z
Page: 265
[226] h a b e d c z
Page: 265
[227] e a b d f c
Page: 265
[228] a r c p e h b z b d
Page: 266
[229] a n r l c x m h e p z g b b f d o k
Page: 267
[230] a l g h e z d k b t
Page: 268
[231] e a g e z b
Page: 269
[232] k o g e c n a d z f h m l p b
Page: 270
[233] e o k a c n g d z h m l p b
Page: 270
[234] a k r q c n g h l m d p z b
Page: 271
[235] ad m g p h l k q bn z c
Page: 277
[236] a d e i f p m h l k b z q o c
Page: 278
[237] a p k d m e l o g h b z c
Page: 279
[238] a q p k d m e g l o b z f c
Page: 279
[239] a d p m h e ſ g o k b n z c
Page: 280
[240] a h m g e n k z b c ſ d
Page: 281
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          <p>
            <s xml:id="echoid-s19120" xml:space="preserve">
              <pb o="275" file="0281" n="281" rhead="OPTICAE LIBER VII."/>
            fractiõis]nec fit refractio extra hãc ſuperficiẽ:</s>
            <s xml:id="echoid-s19121" xml:space="preserve"> nã a z eſt քpẽdicularis ſuք ſuքficiẽ ſphæricã corporis
              <lb/>
            Nõ ergo refringetur forma alicuius partis b c ad a, niſi ex
              <lb/>
              <figure xlink:label="fig-0281-01" xlink:href="fig-0281-01a" number="240">
                <variables xml:id="echoid-variables227" xml:space="preserve">a h m g e n k z b c ſ d</variables>
              </figure>
            circũferẽtia e m n Refringatur ergo b ad ad a ex h:</s>
            <s xml:id="echoid-s19122" xml:space="preserve"> & c ad a
              <lb/>
            ex g.</s>
            <s xml:id="echoid-s19123" xml:space="preserve"> Poſitio ergo h reſpectu a, & diſtantia eius eſt ęqualis
              <lb/>
            poſitiõi & diſtãtię g.</s>
            <s xml:id="echoid-s19124" xml:space="preserve"> Et cõtinuemus b h, h a, c g, g a:</s>
            <s xml:id="echoid-s19125" xml:space="preserve"> & extra
              <lb/>
            hamus a h ad k, & a g ad l:</s>
            <s xml:id="echoid-s19126" xml:space="preserve"> & cõtinuemus k l:</s>
            <s xml:id="echoid-s19127" xml:space="preserve"> erit ergo a k ę-
              <lb/>
            qualis a l.</s>
            <s xml:id="echoid-s19128" xml:space="preserve"> [Quia enim anguli ad z recti ſunt è cõcluſione,
              <lb/>
            & b z æqualis c z, & z d communis:</s>
            <s xml:id="echoid-s19129" xml:space="preserve"> erunt anguli b d z,
              <lb/>
            c d z æquales per 4 p 1.</s>
            <s xml:id="echoid-s19130" xml:space="preserve"> Et cum puncta h & g à puncto a ę-
              <lb/>
            quabiliter diſtent, propter æquabilem punctorum b & c,
              <lb/>
            à puncto a diſtantiam:</s>
            <s xml:id="echoid-s19131" xml:space="preserve"> æquabiliter etiam à puncto m di-
              <lb/>
            ſtabũt, quia m eſt in peripheria e m n, in recta linea a m z:</s>
            <s xml:id="echoid-s19132" xml:space="preserve">
              <lb/>
            itaq;</s>
            <s xml:id="echoid-s19133" xml:space="preserve"> peripheria h m æquabitur peripherię g m:</s>
            <s xml:id="echoid-s19134" xml:space="preserve"> & conne-
              <lb/>
            xis rectis d h, d g:</s>
            <s xml:id="echoid-s19135" xml:space="preserve"> æquabitur angulus h d m angulo g d m
              <lb/>
            per 27 p 3:</s>
            <s xml:id="echoid-s19136" xml:space="preserve"> & per 15 d.</s>
            <s xml:id="echoid-s19137" xml:space="preserve"> 4 p 1 angulus d a h angulo d a g.</s>
            <s xml:id="echoid-s19138" xml:space="preserve"> Qua
              <lb/>
            re cum triangula d a k, d a l habeãt duos angulos duobus
              <lb/>
            angulis æquales ad cõmune latus d a:</s>
            <s xml:id="echoid-s19139" xml:space="preserve"> erunt ipſa æquilate
              <lb/>
            ra per 26 p 1:</s>
            <s xml:id="echoid-s19140" xml:space="preserve"> itaque latus a k ęquabitur lateri a l, & d k ipſi
              <lb/>
            d l:</s>
            <s xml:id="echoid-s19141" xml:space="preserve">] & erit l k imago b c:</s>
            <s xml:id="echoid-s19142" xml:space="preserve"> & erit ęquidiſtans b c:</s>
            <s xml:id="echoid-s19143" xml:space="preserve"> [Nã quia
              <lb/>
            d k æqualis concluſa eſt ipſi d l, & d b æqualis d c ex theſi:</s>
            <s xml:id="echoid-s19144" xml:space="preserve">
              <lb/>
            erit b k ęqualis c l:</s>
            <s xml:id="echoid-s19145" xml:space="preserve"> & per 7 p 5 ut d b ad b k, ſic d c ad c l:</s>
            <s xml:id="echoid-s19146" xml:space="preserve"> I-
              <lb/>
            taq;</s>
            <s xml:id="echoid-s19147" xml:space="preserve"> per 2 p 6 l k parallela eſt c b:</s>
            <s xml:id="echoid-s19148" xml:space="preserve">] erit ergo maior quã b c:</s>
            <s xml:id="echoid-s19149" xml:space="preserve">
              <lb/>
            [Nam pr opter triangulorum l d k, c d b ſimilitudinem è
              <lb/>
            29.</s>
            <s xml:id="echoid-s19150" xml:space="preserve"> 32 p 1 manifeſtã:</s>
            <s xml:id="echoid-s19151" xml:space="preserve"> eſt, ut l d ad c d, ſic l k ad c b:</s>
            <s xml:id="echoid-s19152" xml:space="preserve"> ſed per 9
              <lb/>
            ax.</s>
            <s xml:id="echoid-s19153" xml:space="preserve"> l d maior eſt c d:</s>
            <s xml:id="echoid-s19154" xml:space="preserve"> ergo l k maior eſt c b:</s>
            <s xml:id="echoid-s19155" xml:space="preserve">] & cõtinuemus
              <lb/>
            a b, a c:</s>
            <s xml:id="echoid-s19156" xml:space="preserve"> erit ergo [ut patuit 39 n] angulus k a l maior angulo
              <lb/>
            b a c:</s>
            <s xml:id="echoid-s19157" xml:space="preserve"> & erit poſitio k l ſimilis poſitioni b c:</s>
            <s xml:id="echoid-s19158" xml:space="preserve"> & inter l k & c
              <lb/>
            b non eſt differentia in diſtantia, ut in præcedentib.</s>
            <s xml:id="echoid-s19159" xml:space="preserve"> diximus:</s>
            <s xml:id="echoid-s19160" xml:space="preserve"> ergo k l uidebitur maior quàm b c:</s>
            <s xml:id="echoid-s19161" xml:space="preserve"> ſed
              <lb/>
            k l eſt imago b c:</s>
            <s xml:id="echoid-s19162" xml:space="preserve"> ergo b c uidebitur maior, quàm ſit:</s>
            <s xml:id="echoid-s19163" xml:space="preserve"> quia imago eius eſt maior ſe:</s>
            <s xml:id="echoid-s19164" xml:space="preserve"> & hoc eſt, quia for,
              <lb/>
            ma eius eſt debilior, quã ueraforma.</s>
            <s xml:id="echoid-s19165" xml:space="preserve"> Et hoc eſt quod uoluimus.</s>
            <s xml:id="echoid-s19166" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div618" type="section" level="0" n="0">
          <figure number="241">
            <variables xml:id="echoid-variables228" xml:space="preserve">a h g
              <unsure/>
            m x e n k z l b c d</variables>
          </figure>
          <figure number="242">
            <variables xml:id="echoid-variables229" xml:space="preserve">a h g
              <unsure/>
            f m r e n k b p q d c ſ</variables>
          </figure>
          <head xml:id="echoid-head530" xml:space="preserve" style="it">45. Si uiſ{us} ſit in continuata diametro circuli (quieſt cõmunis ſectio ſuperficierum refractio-
            <lb/>
          nis et refractiui cõuexi dẽſioris) uiſibile uerò inter ipſi{us} centrũ & uiſum ab eodẽ cẽtro inæqua-
            <lb/>
          biliter diſtet:
            <lb/>
          imago uιdebi tur maior uiſi bili. 37 p 10.</head>
          <p>
            <s xml:id="echoid-s19167" xml:space="preserve">SIuerò b d, b
              <lb/>
            c fuerĩt inę
              <lb/>
            quales:</s>
            <s xml:id="echoid-s19168" xml:space="preserve"> tũc a k
              <lb/>
            a l erũt inęqua
              <lb/>
            les:</s>
            <s xml:id="echoid-s19169" xml:space="preserve"> & ſic b c, k l
              <lb/>
            erunt obliquę
              <lb/>
            ſuք lineã a d:</s>
            <s xml:id="echoid-s19170" xml:space="preserve">
              <lb/>
            erit ergo k l, ut
              <lb/>
            in ſecũda figu
              <lb/>
            ra huius capi-
              <lb/>
            tis [40 n] dixi
              <lb/>
            mus, maior ꝗ̃
              <lb/>
            b c in uiſu.</s>
            <s xml:id="echoid-s19171" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div619" type="section" level="0" n="0">
          <head xml:id="echoid-head531" xml:space="preserve" style="it">46. Si cõmu
            <lb/>
          nis ſectio ſuք-
            <lb/>
          ficierũ refra-
            <lb/>
          ctionis & re-
            <lb/>
          fractiui cõue-
            <lb/>
          xi dẽſioris fue
            <lb/>
          rit քipheria: et uiſ{us} ſit extra planum perpendicularium duct arũ à terminis uiſibilis inter cen
            <lb/>
          trũ refractiui & uiſum, ab eodem centro ſiue æquabiliter ſiue in æquabiliter diſtantis: imago ui-
            <lb/>
          debitur maior uiſibili. 38. 39 p 10.</head>
          <p>
            <s xml:id="echoid-s19172" xml:space="preserve">ITem:</s>
            <s xml:id="echoid-s19173" xml:space="preserve"> ſi a fuerit extra ſup erficiem b z c:</s>
            <s xml:id="echoid-s19174" xml:space="preserve"> & b d, c d fuerint æquales autinæquales, declarabitur, ut
              <lb/>
            </s>
          </p>
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