Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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IO. BAPT. BENED.
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eſt angulum
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obtuſum eſſe; </
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<
s
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xml:space
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">Imaginemur ergo circa triang ulum
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circun-
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ſcriptum eſſe circulum, cuius portio
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minor erit medietate eiuſdem medij cir-
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culi, vt iam ex
<
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">30. Eucli. lib. tertij</
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nouiſti. </
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<
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xml:space
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">nunc imaginemur dictum circulum circum
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lineam
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loco axis verſus
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moueri, vnde girus eiuſdem, per quem tranſibat linea
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<
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>V.x.</
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remouebitur ab eadem linea non nihil cum motus erit à primo ſitu vſquequò
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ad ſecandam dictam lineam
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in alio quodam puncto inter
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>.p.</
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et
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>.x.</
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redibit; </
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xml:space
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quidem punctum ſi
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erit inter
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et
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angu
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<
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204
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xlink:href
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</
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lus
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maior erit
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angulo
<
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>.q.p.u</
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. </
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<
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idem
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erit in-
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ter
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et
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dictus an-
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gulus
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minor
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erit
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>
de qua
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type
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dẽ</
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re tu ipſe median-
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te .20. lib. 3. et .16. lib.
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primi certior fieri po-
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tes. </
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<
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xml:space
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">Valde miror
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hæc Ioannis Cuſini di
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cta ad hæc vſque tempora tanto in prætio ſint habita, vt ab excellentibus ſcriptori-
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bus quaſi ſi proprij eorum ingenij partus eſſent, de verboad verbum vt theſauros, in
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fuis
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libris reſcripta fuerint, quemadmodum iam omnes admonui in mea
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gnomonica Orontium, Munſterum,
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permultos feciſſe.</
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</
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<
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xml:space
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">CAP. XIIII.</
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<
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ijs, qu æ de nonnullis effectibus ducendo in perſpectiua tertíum corpus regu
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lare,
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octo triangulis æquilateribus eſt term inatum, ſcire deſideras, hoc
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eſt caput: </
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xml:space
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">vnde fiat, aut quomodo probetur quaſlibet duas facies oppoſitas eiuſ-
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dem corporis octoaedri
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æquidiſtantes eſſe. </
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<
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octoaedrum
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type
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, cuius diameter vna ſit
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et
<
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>.b.p.
<
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l.</
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vna ex faciebus, cui opponatur facies
<
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>.q.k.</
var
>
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<
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number
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xlink:href
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</
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d. quas
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æquidiſtantes eſſe contendo
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ſint aliæ duæ facies, quæ inter has ponuntur
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b.d.k.</
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et
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& à punctis extremis
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dia-
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metri. ductæ ſint quatuor lineæ
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:
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:
<
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:
<
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>q.
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u.</
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ad puncta
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>.a.</
var
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et
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>.u.</
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diuidentia
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>.k.d.</
var
>
et
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>.l.p.</
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per
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medium, vnde ex 4. primi Eucli. quatuor hæ
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lineæ adinuicem ęquales erunt
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eas vt
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baſes
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:
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:
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>a.d.q.</
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>
et
<
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>.u.l.q.</
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>
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<
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norm
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adinuicem
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type
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<
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quoque
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type
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<
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type
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>.a.b.</
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ab
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et
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>.b.
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u.</
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ab
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ex .27. primi; </
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<
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ſi imaginabimur dia
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metrum
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>
tunc ex .4. aut ex .8. eiuſdem lib.
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habebimus angulos
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>.a.b.q.</
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et
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æquales
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inuicem; </
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<
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xml:space
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">ſed ob eaſdem rationes
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paralle-
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la eſt ipſi
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>
vnde ex 15. lib. 11. facies
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>
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parallela fit, aut æquidiſtans ipſi
<
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>
ideſt
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primum propoſitum.</
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