Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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0031
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TABVLARVM SIVVM PER PET. APIAVM.
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planetarum auges per hocuerificare.</
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<
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<
s
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">Ad æquandã octauã ſphæram cũ nona, operæpreciũ eſt principio ſcire, ꝙ initiũ octa
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uæ ſphæræ incipit ꝓpe punctũ parui circuli, quẽ trepidationis ſeu titubatiõis dicimus,
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<
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<
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</
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qui´ omniũ remotiſsime uergit ad ſeptẽtrionẽ, & </
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<
s
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">is ordinẽ motus ſuihabet uerſus ortũ
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☉(sun) uſ in 90. </
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<
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<
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">ꝗ rurſus cadit ſup eclypticã, & </
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<
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90. </
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<
s
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xml:space
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">(hoceſt, ut prædixi, quãdo primũ punctũ Arietis 8. </
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<
s
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">ſphæræ directe ſteterit ſub ecly-
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ptica nonæ) ibi nimi℞ fit & </
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<
s
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xml:space
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">eſt æquatio maxima, ea´ ex fundamẽto peritiſsimi doctiſsi
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mi´ Aſtronomi Alfonſi Regis agno ſcitur eſſe nouẽ graduũ, at ideo æquatio illa ab
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initio parui circuli uſ in 90. </
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<
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<
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<
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<
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trepidatio ꝑ
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ueniatad 180. </
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<
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pio. </
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<
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<
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<
s
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<
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<
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">at hinc rurſus in
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cipit ſe octaua ſphæra ad initiũ parui circuli ſupradictæ trepidatiõis declinare & </
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<
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unde æquatio etiã ipſa eouſ decreſcit, dũ nulla omnino ſit reliqua, fit´ hoc ita in una
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reuolutiõe (quæ ferè in ſeptẽ millibus annorũ cõficitur) bis, ut æquatio ſit nulla, in princi
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pio parui circuli & </
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<
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<
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">& </
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<
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<
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<
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<
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<
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<
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tio prima uſ in 180. </
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<
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<
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">addẽda eſt medio motui nonæ ſphæræ, mot9 ille augiũ & </
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<
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larũ fixarũ in tabulis dici ſolet. </
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<
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">Secũda aũt æquatio, ſi à 180. </
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<
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<
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<
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à medio motu augium & </
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<
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">ſtellarũ fixarũ, ꝓueniet & </
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<
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<
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nono orbe. </
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<
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">Inuenturus ergo iam æquationẽ principio ex tabulis Aſtronomicis, quære
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motũ octauæ ſphæræ, ꝗ cõiuſu & </
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<
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">cõſuetudine motus acceſſus & </
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<
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. </
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<
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tum illũ reſoluito primũ in gradus, dũmodo aliq̊t integra ſigna habuerit & </
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<
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">ſi minor ſit ̈
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90. </
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<
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">ſubtrahito eũ â 90. </
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<
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">& </
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<
s
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">erit operationi adcõmodus, ſin aũt maior ſit ̈ 90. </
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<
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<
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<
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<
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<
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<
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<
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</
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nor ̈ 180. </
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<
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<
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">& </
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<
s
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">remanebit numerus graduũ iuſte paratus
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ad operandũ. </
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<
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">Quod ſi tñ medius motus maior ſit ̈ 180. </
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<
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<
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<
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he tũc 180. </
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<
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<
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">& </
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<
s
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">hic quo reliquũ tibi manebit, q̊d ad hũc uſum cõducet. </
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<
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do ſi excedat gradus 270. </
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<
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>
<
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">tũc remanebit numerus ꝑ quẽ inuenit̃ æqua-
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tio. </
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<
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<
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">ad operationẽ cõpoſito, quære ſinũ illius rectũ, eũ multipli-
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ca cũ ſinu recto 9. </
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<
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">graduũ, ꝓductũ partire in ſinũ totũ, quotientis arcũ quære, mox ꝓpo-
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<
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">Per arealẽ</
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<
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<
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<
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<
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</
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ne tibi ſinũ cõ plementi huius inuẽti, ſimiliter & </
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<
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<
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">graduũ(ſiquidem ſe-
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midiameter circuli trepidatiõis ex ſuppoſitione eſt 9. </
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<
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">graduũ.) </
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<
s
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xml:space
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">Minorẽ ex ijs duobus nu
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merũ cũ toto ſeu perfecto ſinu multiplica, productũ diuide in ſinũ maiorẽ, numeri quoti
<
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entis arcũ quære, eo ſubtra cto à 90. </
s
>
<
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>
<
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xml:space
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>
<
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">ſphæræ quæſita, & </
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>
<
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">il-
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la quidem addi aut ſubtrahi debet à medio motu augiũ & </
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>
<
s
xml:id
="
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xml:space
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">ſtellarũ fixarũ, ſecundũ quod
<
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arguit medius mot9 acceſtus & </
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>
<
s
xml:id
="
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xml:space
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">receſſus 8 ſphæræ, ꝗ ſi fuerit minor gradibus 180. </
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>
<
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">æqua
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<
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">EXEM
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PLVM</
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>
tio addẽda eſt, ſi maior, ſubtrahẽda. </
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>
<
s
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<
s
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xml:space
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">? At obſcura hæc tibi forte uidẽtur, ꝓinde lucẽ ad
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demus exemplo, q̊ deinceps ſemper ſumus uſuri, at proponimus hic diem 14. </
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>
<
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ni 1517. </
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<
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">id´ in honorẽ Reuerendiſsimi patris & </
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<
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">D. </
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<
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">D. </
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<
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xml:space
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">Chriſtophori à Stadio Epiſcopi
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Auguſtẽſis, ꝗ eo die ad Epiſcopatũ intronizatus eſt. </
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>
<
s
xml:id
="
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xml:space
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">nolumus enim hic à cõi loquẽdi cõ
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xlink:label
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<
emph
style
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">Quo anno</
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>
<
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/>
<
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">& die R@-</
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>
<
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/>
<
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">uerẽdißim9</
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>
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/>
<
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style
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">Dñs D.</
emph
>
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<
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>
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/>
<
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style
="
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<
unsure
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-</
emph
>
<
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/>
<
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style
="
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emph
>
<
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/>
<
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style
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it
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</
note
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ſuetudine diſcedere, eò maxime ꝙ nõ ſtyli elegantiã, ſed illuſtrãdæ aperiendæ´ rei ueri-
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tatem ſectamur. </
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xml:space
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preserve
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s
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</
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<
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Inuenire iam uolens æquationẽ, primũ oĩm reſoluere debes ſignũ in 60. </
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ſignũ illud phyſicum eſt, deinde addere gra. </
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<
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s
>
<
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xml:id
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s
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bunt 12. </
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<
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<
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<
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<
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<
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<
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totum, qui eſt 100000. </
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<
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s
>
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ſume cõplementũ eius, hoc eſt, reſiduũ ad 90. </
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<
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"
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>
<
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xml:space
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s
>
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propone ſinũ cõplementi 9. </
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>
<
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<
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me minorem, eũ ducin ſinum perfectũ, ꝓductũ diuide in maiorẽ, qui eſt 99939. </
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nient in quotiente 98828. </
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<
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"
xml:space
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s
>
<
s
xml:id
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"
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">mi. </
s
>
<
s
xml:id
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"
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<
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s
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<
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</
p
>
</
div
>
</
text
>
</
echo
>
