Vitruvius
,
De architectura libri decem
,
1567
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LIBER
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igitur centro in extremo umbræ horæ quintæ, & </
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>
<
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echoid-s3806
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">diducto altero pede ad extremum horæ ſeptimæ, ducetur linea
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circinationis occulta,eodẽq́; </
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>
<
s
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echoid-s3807
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xml:space
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">modo collocato pede in extremo horæ ſeptimæ ſigno, & </
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>
<
s
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echoid-s3808
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">diducto altero pede duca-
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tur altera linea circinationis occulta, & </
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>
<
s
xml:id
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echoid-s3809
"
xml:space
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">quibus partibus utræq; </
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>
<
s
xml:id
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echoid-s3810
"
xml:space
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">circinationis lineæ ſeſe mutuo ſecabũt, quod ſu
<
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pra, & </
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>
<
s
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echoid-s3811
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">infra fiet, ibi puncta facienda.</
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>
<
s
xml:id
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echoid-s3812
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">quæpostea una linea directa coniungenda ſunt. </
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<
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echoid-s3813
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xml:space
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">Hanc lineam meridianam
<
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uocãt, ſectionem autem illam utriuſq; </
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<
s
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="
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xml:space
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">lineæ circinationis decuſſationẽ n ominãt, nã decuſſare est in formã X. </
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<
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teræ ſe ſe ſecare, ac in duas partes diuidere. </
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<
s
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xml:space
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">uerbum est Ciceronianum in libro de uniuerſitate. </
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<
s
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">extremum igi-
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tur unum lineæ meridianæ auſtralem, alterum ſeptentrionalem plagam indicabit, quibus inuentis facile & </
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<
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reliquæ regiones inueniuntur. </
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<
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">ideò Vitr. </
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<
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<
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<
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poſtea ſumenda eſt ſextadecima pars circinationis lineæ totius rotundationis, centrumq́;
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</
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<
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<
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note-514.01.074-01
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note-514.01.074-01a
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">10</
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collocandum in meridiana linea, quæ tangit circinationem, & </
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<
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tione, & </
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<
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">meridiana, & </
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>
<
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">ſeptentrionali parte, tunc ex ſignis his quatuor per centrum medium decuſ-
<
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ſatim lineæ ab extremis ad extremas circinationes perducendæ. </
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<
s
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echoid-s3827
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">ita Auſtri, & </
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>
<
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="
echoid-s3828
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">ſeptentrionis habebitur
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/>
octauæ partis deſignatio. </
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>
<
s
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xml:space
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">Reliquæ partes dextra tres, & </
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>
<
s
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="
echoid-s3830
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xml:space
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">ſiniſtra treshis æquales diſtribuendæ ſunt in
<
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tota rotunditate, ut æquales diuiſiones octo uentornm deſignatæ in deſcriptione.</
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>
<
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<
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">Poterat Vitr. </
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<
s
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echoid-s3833
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">hæc facilius dicere, nam inuenta linea meridiana poterat dicere lineam meridianam eſſe de-
<
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cuſſandam alia linea, quæ oſtendet orientis, & </
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>
<
s
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="
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">occidentis uentorum regiones, inde duas lineas alias ducen-
<
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das, quæ circinationis lineam in alias æquas partes quatuor ſecent, unde aliæ uentorum regiones collocari poſ
<
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/>
ſint. </
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>
<
s
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xml:space
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">Sed quia uoluit uentorum regiones per medium ſecari, uerbi gratia ſignum Auſtri & </
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>
<
s
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="
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xml:space
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">Euri recta linea in
<
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/>
circinatione coniungi, eandemq́; </
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>
<
s
xml:id
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xml:space
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">lineam in medio ſecari linea alia, quæ a circinatione per centrum ad partem
<
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<
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note-514.01.074-02
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note-514.01.074-02a
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oppoſitam ducatur, ideo ſumpſit ſextamdecimam partem totius circinationis, ut inde ſequatur, quod dicit.</
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<
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<
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>
per angulos inter duas uentorum regiones, & </
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">platearum, & </
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<
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">angiportorum uidentur debere
<
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dirigi deſcriptioues. </
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<
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">His enim rationibus, & </
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>
<
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">ea diuiſione excluſa erit ex habitationibus, & </
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<
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">uicis uen
<
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torum uis moleſta. </
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>
<
s
xml:id
="
echoid-s3845
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xml:space
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">cum enim plateę contra directos uentos erunt conformatæ, ex aperto cœli ſpatio
<
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/>
impetus, ac flatus frequens concluſus in faucibus angiportorum, uehementioribus uiribus peruagabi-
<
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/>
tur, quas ob res conuertendæ ſunt ab regionibus uentorum directiones uicorum, uti aduenientes ad
<
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/>
angulos inſularum frangantur, repulſiq́; </
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<
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">diſsipentur.</
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<
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</
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<
s
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xml:space
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">Ex diagrammate facile intelligetur, quod Vitr. </
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<
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">hoc loco, & </
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<
s
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">inferius etiam dicet, quare duas deſcriptio-
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nes poſuimus, alteram qua linea meridiana inuenitur, alteram, qua in octo partes uentorum regiones diſtri-
<
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buuntur & </
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<
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<
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">& </
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<
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<
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">notate. </
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<
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">A est centrum ubi Gnomon collocatur, A F. </
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<
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">est Gnomon,
<
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<
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A C. </
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<
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<
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">A B. </
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<
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">umbra poſtmeridiana. </
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<
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">D. </
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<
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">decuſſatio. </
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<
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">D E. </
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<
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">linea meridiana. </
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<
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xml:space
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">in altera
<
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deſcriptione. </
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<
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">F D. </
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<
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">est linea meridiana. </
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<
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">K F. </
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<
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">uel F I. </
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<
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">pars ſextadecima. </
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<
s
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xml:space
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">Per angulos igitur,qui ſunt inte
<
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/>
duas uentorum regiones diriguntur uiæ, uici, plateæq́; </
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>
<
s
xml:id
="
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xml:space
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">ita enim fiet, ut flantibus uentis eorum ſpiritus frangan
<
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/>
tur in angulis inſularum, id eſt priuatarum domuum: </
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>
<
s
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xml:space
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">Romani enim priuatas domos ſeiunctas constituebant,nec
<
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coniunctas communibus parietibus eſſe uolebant, ideoq́; </
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>
<
s
xml:id
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xml:space
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">eas inſulas uocabant.</
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<
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</
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<
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<
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<
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style
="
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">Fortasse</
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>
mirabuntur ij, qui multa uentorum nomina nouerunt, quod a nobis expoſitum ſit tan
<
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/>
tummodo octo eſſe uentos. </
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>
<
s
xml:id
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xml:space
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">Siautem animaduerterint orbis terræ circuitionem, per Solis curſum,& </
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>
<
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<
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/>
Gnomonis equinoctialis umbras, ex inclinatione cœli ab Eratoſthene Cyreneo, rationibus mathema
<
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ticis, & </
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>
<
s
xml:id
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xml:space
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">Geometricis methodis eſſe inuentam ducentorum quinquaginta duummillia ſtadiorum, quæ
<
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fiunt paſſus ſemel & </
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>
<
s
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">tricies millies mille & </
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<
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xml:space
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">quingenties mille, huius autem octaua pars, quam uentus
<
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tenere uidetur, eſt ter millies mille, & </
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>
<
s
xml:id
="
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xml:space
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">noningenties trigeſies ſepties mille, & </
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>
<
s
xml:id
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xml:space
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">quingenti paſſus, non de-
<
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<
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position
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="
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xlink:href
="
note-514.01.074-04a
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">40</
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bebunt mirari ſi in tam magno ſpatio unus uentus uagando inclinationibus, & </
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>
<
s
xml:id
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xml:space
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">receſsionibus uarieta-
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tes mutatione flatus ſaciat.</
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<
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</
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<
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<
s
xml:id
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">Obiectioni reſpondet Vitr. </
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<
s
xml:id
="
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">non aſpernendæ. </
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>
<
s
xml:id
="
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xml:space
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">Quæri enim poterat cur cur plura uentorum nomina regio-
<
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/>
nesq́; </
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>
<
s
xml:id
="
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xml:space
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">a maioribus inuentæ ſint,ipſe tamen octo tantum poſuerit? </
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>
<
s
xml:id
="
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"
xml:space
="
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">Quare ne dubitemus amplius, reſpondet hunc-
<
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in modum. </
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>
<
s
xml:id
="
echoid-s3890
"
xml:space
="
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">Non est mirum ſi magno ſpatio peruagando uentus unus ceſſatione, redituq́; </
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>
<
s
xml:id
="
echoid-s3891
"
xml:space
="
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">multas faciet uarie-
<
lb
/>
tates mutationum, è quibus diuerſa nomina ſortiatur, nam ualde lata est uenti cuiuſque regio, unde fit, ut di-
<
lb
/>
uerſi arctiori ſpatio uentos ſeiungant pluresq́; </
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>
<
s
xml:id
="
echoid-s3892
"
xml:space
="
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">ex uno faciant, quod & </
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>
<
s
xml:id
="
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"
xml:space
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">nautæ commoditate quadam fecere,
<
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duoq́; </
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>
<
s
xml:id
="
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xml:space
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">& </
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>
<
s
xml:id
="
echoid-s3895
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xml:space
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">triginta nomina uentorum poſuere. </
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>
<
s
xml:id
="
echoid-s3896
"
xml:space
="
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">Sed quæri poteſt quam magnum ſit illud ſpatium, quod uentus
<
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/>
unus tenet. </
s
>
<
s
xml:id
="
echoid-s3897
"
xml:space
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">Reſpondetur octauam eſſe orbis terrarum partem, quæ eſt paſſuum 3937500. </
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>
<
s
xml:id
="
echoid-s3898
"
xml:space
="
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">cum igitur uenti
<
lb
/>
mutationem capiant ex immenſo fere ſpatio, aut propter oppoſitos montes, aut ob terræ altitudinem,ſiue ha-
<
lb
/>
<
note
position
="
left
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xlink:label
="
note-514.01.074-05
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xlink:href
="
note-514.01.074-05a
"
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">50</
note
>
lituum exceſſu & </
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>
<
s
xml:id
="
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"
xml:space
="
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">defectu, ſiue aliam ob cauſam, non est quod miremur, ſi a lateribus octo prædictorum uen
<
lb
/>
torum alij poſiti ſunt, quos Vitruuius numero quatuor & </
s
>
<
s
xml:id
="
echoid-s3900
"
xml:space
="
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">uiginti eſſe dicit. </
s
>
<
s
xml:id
="
echoid-s3901
"
xml:space
="
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">Sed unde illud quod octaua pars
<
lb
/>
orbis ſpatium tenet paſſuum 39037500. </
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>
<
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="
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="
preserve
">id obſeruaſſe Eratoſthenem Cyreneum dicit, qui rationibus mathe-
<
lb
/>
maticis, & </
s
>
<
s
xml:id
="
echoid-s3903
"
xml:space
="
preserve
">Geometricis methodis orbis terræ circuitionem inuenit eſſe paſſuum. </
s
>
<
s
xml:id
="
echoid-s3904
"
xml:space
="
preserve
">31500000. </
s
>
<
s
xml:id
="
echoid-s3905
"
xml:space
="
preserve
">rationes autem
<
lb
/>
mathematicas & </
s
>
<
s
xml:id
="
echoid-s3906
"
xml:space
="
preserve
">Geometricas, quas intelligimus cum per Solis curſum, & </
s
>
<
s
xml:id
="
echoid-s3907
"
xml:space
="
preserve
">Gnomonis æquinoctialis umbras
<
lb
/>
ex inclinatione cœli inueſtig auerit orbis circuitionem, quod hoc modo tentauit. </
s
>
<
s
xml:id
="
echoid-s3908
"
xml:space
="
preserve
">loca duo in Aegypto nota con-
<
lb
/>
ſtituit Eratoſthenes, Syenem, & </
s
>
<
s
xml:id
="
echoid-s3909
"
xml:space
="
preserve
">Alexandriam, quæ fere idem habent meridianum, uellongitudinem eandem,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s3910
"
xml:space
="
preserve
">ab interuallo inter utr anque ciuit atem poſito, totius orbis magnitudinem argumentatus est, erexit Gno-
<
lb
/>
monem Alexandriæ, & </
s
>
<
s
xml:id
="
echoid-s3911
"
xml:space
="
preserve
">in meridie cum Sol cancri ſignum ingreditur, duos Solis radios conſider auit, alterum
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.074-06
"
xlink:href
="
note-514.01.074-06a
"
xml:space
="
preserve
">60</
note
>
ſupra Syenem ad perpendiculum cadentem, ea enim ciuitas ſub æſtiuo circulo ponitur, alterum </
s
>
</
p
>
</
div
>
</
div
>
</
text
>
</
echo
>