Biancani, Giuseppe, Aristotelis loca mathematica, 1615
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              ſint duo arcus æquales A B, B C.
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              in plano autem horizontis ere­
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              ctum ſit corpus G D, quod à So­
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              le conſpiciatur, ſiue illuminetur.
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                <expan abbr="ſitq́">ſitque</expan>
              ; primum Sol in A. radius ip­
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              ſius per verticem D, tranſiliens
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              erit A D I; vmbra verò erit G I.
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              </s>
              <s id="s.003950">Sole deinde in B, exiſtente, erit
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              radius B D E, & vmbra G E. </s>
              <s id="s.003951">So­
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              le tandem in C.
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              ; C D F.
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              vmbra erit G F. </s>
              <s id="s.003952">Dicit ergò Ariſt. quod cum anguli A D B, B D C, ſint ex
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              æqualibus arcubus A B, B C. ad centrum D, conſtituti, erunt æquales, qua­
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              re erunt etiam æquales alij duo anguli illis ad verticem oppoſiti, per 15.
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              primi, qui ſunt contenti in triangulo G D I. quod
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              ngulum fit à radio pri­
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              mo D I, re conſpecta à Sole G D, & vmbra G I. anguli inquam F D E, E D I,
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              qui ſunt ad verticem prædictis angulis, erunt, & ipſi æquales inuicem.</s>
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              <s id="s.003953">Supponit præterea pro certo radium D I, qui cæteris longius prolabitur,
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              eſſe maiorem propinquiore D E.
                <expan abbr="ipſumq́">ipſumque</expan>
              ; D E, maiorem eſſe reliquo radio
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              D F. oportet autem
                <expan abbr="radiũ">radium</expan>
              B E, terminari in puncto E, quod ſit citra radium
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              D I. & radium D F, deſinere in F, citra radium D E, aliter ſequitur lineam
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              rectam B E, vel C F, ſecare lineam recta A I, in pluribus punctis, quàm vno
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              D. quod eſt impoſſibile. </s>
              <s id="s.003954">cùm ergò totus angulus F D I, diuidatur à linea
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              D E, in duos angulos æquales F D E, E D I.
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              ; latus D I, maius latere D F.
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              erit ex ſcholio 19. primi Elemen. linea E I, maior, quam F E, quæ ſunt duæ
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              inæquales vmbræ, quæ tamen reſpondent æqualibus arcubus A B, B C. ſimi­
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              liter vmbra F E, maior eſſe probaretur ſequenti qualibet vmbra, quæ tamen
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              ex arcu æquali procederet. </s>
              <s id="s.003955">& ſic deinceps vſquequò Sol eſſet in meridie, vbi
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              vmbra eſſet omnium minima.</s>
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              <s id="s.003956">Atque ex his patet, cur quamuis Sol vniformiter in cœlo moueatur, vm­
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              brarum tamen incrementa, ſint diſparia, nec vniformia. </s>
              <s id="s.003957">eadem intelligen­
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              da ſunt de vmbrarum decrementis promeridianis Sole ad occaſum labente:
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              tunc enim, vt ille cecinit.</s>
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              Maioresqué cadunt altis de montibus vmbræ.
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              <s id="s.003959">Aduerte verba illa (
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              Angulus D E, maior, quam E F, angulo D G, est
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              ) eſſe
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              mendoſa, etiam in græco textu; vnde, & malè in latinum tranſlata:
                <expan abbr="neq;">neque</expan>
              in
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              græco eſt vox, angulus: aliter Ariſt. quæſtioni non ſatisfaceret. </s>
              <s id="s.003960">quare di­
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              cendum, & interpretandum videtur, quemadmodum à me factum eſt.</s>
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              345</s>
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              <s id="s.003963">In 5. problema. </s>
              <s id="s.003964">Difficile admodum eſt problema iſtud, & cuius ſolutio­
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              nem nullus veterum, quod ſciam, perfectè attigit: quamuis Vitellio nu. </s>
              <s id="s.003965">39.
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              lib. 2. hoc idem proponat, ac ſoluere contendat: Verùm nec Ariſt. nec Vi­
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              tellio intellectui ſatisfaciunt mathematico: probabilia tamen afferunt. </s>
              <s id="s.003966">op­
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              timè hae de re Maurolicus, in ſuis Poſthumis, nuper editis Photiſmis, & Ke­
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              plerus, in paralip. </s>
              <s id="s.003967">ad Vitell. </s>
              <s id="s.003968">Senſum Ariſt. ac textum pariter per paraphra­
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              ſim exponam, ita tamen, vt eius textus ex hac paraphraſi omninò clarus
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              euadat. </s>
              <s id="s.003969">Quærit igitur; cur lumen Solis ingrediens per quadrangularia, ſeu
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              triangularia foramina, vel etiam per rimulas, cùm poſtea recipiatur in pla­</s>
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