Vitruvius
,
De architectura libri decem
,
1567
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<
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306
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514.01.338
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338
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LIBER
"/>
mon appellatur; </
s
>
<
s
xml:id
="
echoid-s23204
"
xml:space
="
preserve
">quam demum finitor cum gnomone, aut uerticali facit, ſectio æquinoctialis dicitur, nam
<
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/>
ibi finitor, uerticalis, & </
s
>
<
s
xml:id
="
echoid-s23205
"
xml:space
="
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">æquinoctalis, qui ſunt ex maioribus ſphæræ circulis, ſe ſe mutuo ſecant. </
s
>
<
s
xml:id
="
echoid-s23206
"
xml:space
="
preserve
">Ex huiuſ-
<
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/>
modi conſiderationibus, cum his,quæ ſuperius de cono, ac conicis ſectionibus dicta ſunt, regulas conficiendo-
<
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/>
rum horologiorum eliciemus, in quocunque plano libuerit ea deſcribere, & </
s
>
<
s
xml:id
="
echoid-s23207
"
xml:space
="
preserve
">quocunque horarum genere uti
<
lb
/>
uoluerimus. </
s
>
<
s
xml:id
="
echoid-s23208
"
xml:space
="
preserve
">Nam ex planis alia finitori, alia meridiano, alia uerticali parallela ſunt, alia item ab illis de-
<
lb
/>
clinant, aut inclinant, itemq́; </
s
>
<
s
xml:id
="
echoid-s23209
"
xml:space
="
preserve
">alia caua, alia conuexa, alia in cylindros deſignata ſunt. </
s
>
<
s
xml:id
="
echoid-s23210
"
xml:space
="
preserve
">horarum quoque plu-
<
lb
/>
ra genera ſunt. </
s
>
<
s
xml:id
="
echoid-s23211
"
xml:space
="
preserve
">Antiqui diem ſiue longam, ſiue breuem in partes duodenas diſtribuebant. </
s
>
<
s
xml:id
="
echoid-s23212
"
xml:space
="
preserve
">Aſtronomi a meri-
<
lb
/>
die horarum initium capiebant, Itali ab occaſu, alij ab ortu incipiunt. </
s
>
<
s
xml:id
="
echoid-s23213
"
xml:space
="
preserve
">Mirum eſt analemmatis inuentum,
<
lb
/>
unde omnia horarum genera deſcribere poſſumus. </
s
>
<
s
xml:id
="
echoid-s23214
"
xml:space
="
preserve
">Quare optime Vitruuius prætermiſſa prædictione rerum
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.338-01
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xlink:href
="
note-514.01.338-01a
"
xml:space
="
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">10</
note
>
futurarum, & </
s
>
<
s
xml:id
="
echoid-s23215
"
xml:space
="
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">hominis genituræ, ſeu conceptus ratione, ad horologia uenit, & </
s
>
<
s
xml:id
="
echoid-s23216
"
xml:space
="
preserve
">analemmatis conſtructionem
<
lb
/>
affert. </
s
>
<
s
xml:id
="
echoid-s23217
"
xml:space
="
preserve
">inquit ergo.</
s
>
<
s
xml:id
="
echoid-s23218
"
xml:space
="
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"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s23219
"
xml:space
="
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">
<
emph
style
="
sc
">Nobis</
emph
>
autem ab his ſeparandæ ſunt horologiorum rationes, & </
s
>
<
s
xml:id
="
echoid-s23220
"
xml:space
="
preserve
">explicandæ menſtruæ dierum
<
lb
/>
breuitates, itemque depalationes. </
s
>
<
s
xml:id
="
echoid-s23221
"
xml:space
="
preserve
">Nanque Sol æquinoctiali tempore Ariete, Libraq́ue uerſando,
<
lb
/>
quas exgnomone partes habet nouem, eas umbræ facit octo in declinatione cœli, quæ eſt Romæ.
<
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/>
</
s
>
<
s
xml:id
="
echoid-s23222
"
xml:space
="
preserve
">Itemq́; </
s
>
<
s
xml:id
="
echoid-s23223
"
xml:space
="
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">Athenis quàm magnæ ſunt gnomonis partes quatuor, umbræ ſunt tres: </
s
>
<
s
xml:id
="
echoid-s23224
"
xml:space
="
preserve
">Ad ſeptem Rhodo
<
lb
/>
quinque: </
s
>
<
s
xml:id
="
echoid-s23225
"
xml:space
="
preserve
">At Tarenti nouem ad undecim: </
s
>
<
s
xml:id
="
echoid-s23226
"
xml:space
="
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">Alexandriæ tres ad quinque: </
s
>
<
s
xml:id
="
echoid-s23227
"
xml:space
="
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">Cæterisq́; </
s
>
<
s
xml:id
="
echoid-s23228
"
xml:space
="
preserve
">omnibus locis
<
lb
/>
aliæ, alio modo umbræ gnomonum æquinoctialies ab natura rerum inueniuntur diſparatæ.</
s
>
<
s
xml:id
="
echoid-s23229
"
xml:space
="
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"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s23230
"
xml:space
="
preserve
">Diuerſa ſunt umbrarum longitudinum diſcrimina æquinoctiorum tempore meridiano, & </
s
>
<
s
xml:id
="
echoid-s23231
"
xml:space
="
preserve
">uarias habent ad
<
lb
/>
gnomones comparationes, idq́; </
s
>
<
s
xml:id
="
echoid-s23232
"
xml:space
="
preserve
">accidit propter diuerſas uerticis, aut æquinoctialis altitudines ſupra ſinitorẽ.
<
lb
/>
</
s
>
<
s
xml:id
="
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"
xml:space
="
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">
<
note
position
="
left
"
xlink:label
="
note-514.01.338-02
"
xlink:href
="
note-514.01.338-02a
"
xml:space
="
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">20</
note
>
Eas Vitr. </
s
>
<
s
xml:id
="
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"
xml:space
="
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">declinationes, alij latitudinem uocant. </
s
>
<
s
xml:id
="
echoid-s23235
"
xml:space
="
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">quantum enim quis ab æquinoctiali declinat, tantundem
<
lb
/>
polus ſupra finitorem extollitur, & </
s
>
<
s
xml:id
="
echoid-s23236
"
xml:space
="
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">æquinoctialis deprimitur, quemadmodum in ſubiecto diagrammate uides
<
lb
/>
in quo linea U+2020 ſub q. </
s
>
<
s
xml:id
="
echoid-s23237
"
xml:space
="
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">uerticis puncto ponitur. </
s
>
<
s
xml:id
="
echoid-s23238
"
xml:space
="
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">poli c. </
s
>
<
s
xml:id
="
echoid-s23239
"
xml:space
="
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">& </
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>
<
s
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="
echoid-s23240
"
xml:space
="
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">f. </
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>
<
s
xml:id
="
echoid-s23241
"
xml:space
="
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">in labro finitoris, g h. </
s
>
<
s
xml:id
="
echoid-s23242
"
xml:space
="
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">quo ſi notam U+2020
<
lb
/>
ſub numero 10. </
s
>
<
s
xml:id
="
echoid-s23243
"
xml:space
="
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">poſuerimus, polus c. </
s
>
<
s
xml:id
="
echoid-s23244
"
xml:space
="
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">ſupra finitorem ad numerum 10. </
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>
<
s
xml:id
="
echoid-s23245
"
xml:space
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">tolletur. </
s
>
<
s
xml:id
="
echoid-s23246
"
xml:space
="
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">ideſt ad decem gradus,
<
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/>
<
figure
xlink:label
="
fig-514.01.338-01
"
xlink:href
="
fig-514.01.338-01a
"
number
="
137
">
<
description
xml:id
="
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"
xml:space
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">Il polo.
<
lb
/>
cqiunot.
<
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/>
orizonte</
description
>
<
variables
xml:id
="
echoid-variables94
"
xml:space
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">c e b a f</
variables
>
</
figure
>
qui plane totidem ſunt, quot uertex noſter ab æquinoctiali de-
<
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/>
clinat. </
s
>
<
s
xml:id
="
echoid-s23247
"
xml:space
="
preserve
">diuerſæ igitur ſunt cœli declinationes. </
s
>
<
s
xml:id
="
echoid-s23248
"
xml:space
="
preserve
">Romæ igitur a-
<
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/>
lio modo umbra gnomoni comparatur in meridie æquinoctiorũ
<
lb
/>
tempore, alio modo Athenis, alio Alexandriæ, quoniam
<
lb
/>
propter diſcrimina declinationum, alias habet Sol altitudines
<
lb
/>
Romæ, alias Athenis, alias Alexandriæ. </
s
>
<
s
xml:id
="
echoid-s23249
"
xml:space
="
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">diximus autem Solẽ
<
lb
/>
quo altius ſcandit, eò breuiores umbras gnomonum facere.
<
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/>
</
s
>
<
s
xml:id
="
echoid-s23250
"
xml:space
="
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">Romæ igitur ſi ſtatuatur gnomon partium nouem, octo ex illis
<
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/>
umbra gnomonis in plano faciet, cum in meridie Sol Arietis,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s23251
"
xml:space
="
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">Libræ partes primas ingreditur; </
s
>
<
s
xml:id
="
echoid-s23252
"
xml:space
="
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">Athenis uero quoniam
<
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/>
alia est declinatio, ſi gnomon fuerit quatuor partium, tres erũt
<
lb
/>
umbræ, ad ſeptem Rhodo quinque, at Tarenti nouem ad unde-
<
lb
/>
cim; </
s
>
<
s
xml:id
="
echoid-s23253
"
xml:space
="
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">Alexandriæ tres ad quinque. </
s
>
<
s
xml:id
="
echoid-s23254
"
xml:space
="
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">Ex his etiam ſcire poßu-
<
lb
/>
mus quibus nam altior in meridie Sol habeatur, quoniam ex
<
lb
/>
comparatione umbræ ad gnomonem, altitudo Solis comparatur. </
s
>
<
s
xml:id
="
echoid-s23255
"
xml:space
="
preserve
">Ecce Athenis umbra tertia parte gnomone
<
lb
/>
minor eſt: </
s
>
<
s
xml:id
="
echoid-s23256
"
xml:space
="
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">Romæ autem octaua. </
s
>
<
s
xml:id
="
echoid-s23257
"
xml:space
="
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">quare concluditur altius Solem ſcandere Athenis, quam Romæ, & </
s
>
<
s
xml:id
="
echoid-s23258
"
xml:space
="
preserve
">tanto al-
<
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/>
tius, quanto umbra ſubſeſquitertiæ minor eſt ſubſeſquioctauæ.</
s
>
<
s
xml:id
="
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"
xml:space
="
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"/>
</
p
>
<
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position
="
left
"
xml:space
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">40</
note
>
<
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>
<
s
xml:id
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">
<
emph
style
="
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">Itaqve</
emph
>
in quibuſcunque locis horologia erunt deſcribenda, eò loci ſumenda eſt æquinoctia-
<
lb
/>
lis umbra.</
s
>
<
s
xml:id
="
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"
xml:space
="
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"/>
</
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>
<
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style
="
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<
s
xml:id
="
echoid-s23262
"
xml:space
="
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">Aggreditur modo ad analemma deſcribendum Vitr. </
s
>
<
s
xml:id
="
echoid-s23263
"
xml:space
="
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">Quoniam uero unicum analemma non ſatis eſt in omni-
<
lb
/>
bus locis, niſi quatenus in eo communes quidam circuli, & </
s
>
<
s
xml:id
="
echoid-s23264
"
xml:space
="
preserve
">lineæ aſciſc untur (ut dixi) quoniam æquinoctiales
<
lb
/>
umbræ meridianæ alibi aliæ ſunt: </
s
>
<
s
xml:id
="
echoid-s23265
"
xml:space
="
preserve
">ideo analemma ſumit pro ea declinatione, quæ eſt Romæ, communem prius
<
lb
/>
regulam proponens, dum dicit. </
s
>
<
s
xml:id
="
echoid-s23266
"
xml:space
="
preserve
">{Itaque in quibuſcunque locis horologia erunt deſcribenda, ei loci ſumenda
<
lb
/>
est æquinoctialis umbra.</
s
>
<
s
xml:id
="
echoid-s23267
"
xml:space
="
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">} & </
s
>
<
s
xml:id
="
echoid-s23268
"
xml:space
="
preserve
">eam umbram intelligit, quam in meridie tempore æquinoctiorum proijcit gno-
<
lb
/>
mon, quoniam ex ea umbra ratio ſumitur aliarum umbrarum meridianarum, cum Sol ad alia ſigna init.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s23269
"
xml:space
="
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">inquit ergo.</
s
>
<
s
xml:id
="
echoid-s23270
"
xml:space
="
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"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s23271
"
xml:space
="
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">
<
emph
style
="
sc
">Et</
emph
>
ſi erunt (quemadmodum Romæ) gnomonis partes nouem, umbræ octonæ, deſcribatur li-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.338-04
"
xlink:href
="
note-514.01.338-04a
"
xml:space
="
preserve
">50</
note
>
nea in planitia, & </
s
>
<
s
xml:id
="
echoid-s23272
"
xml:space
="
preserve
">ex media pros orthas erigatur, ut ſit ad normã,quæ dicitur gnomon: </
s
>
<
s
xml:id
="
echoid-s23273
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23274
"
xml:space
="
preserve
">a linea, quę
<
lb
/>
erit planities in finem gnomonis circino nouem ſpatia dimetiantur,& </
s
>
<
s
xml:id
="
echoid-s23275
"
xml:space
="
preserve
">quo loco nonæ partis ſignum
<
lb
/>
fuerit centrum conſtituaturubi erit litera a. </
s
>
<
s
xml:id
="
echoid-s23276
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s23277
"
xml:space
="
preserve
">diducto circino ab eo centro ad lineam planitiæ,
<
lb
/>
ubi erit litera b. </
s
>
<
s
xml:id
="
echoid-s23278
"
xml:space
="
preserve
">circinatio circuli deſcribatur, quæ dicitur meridiana. </
s
>
<
s
xml:id
="
echoid-s23279
"
xml:space
="
preserve
">Deinde ex nouem partibus,
<
lb
/>
quæ ſunt a planitia ad gnomonis centrum,octo ſumantur, & </
s
>
<
s
xml:id
="
echoid-s23280
"
xml:space
="
preserve
">ſignentur in linea, quæ eſt in planitia
<
lb
/>
ubi erit litera c. </
s
>
<
s
xml:id
="
echoid-s23281
"
xml:space
="
preserve
">Hæc autem erit gnomonis æquinoctialis umbra, & </
s
>
<
s
xml:id
="
echoid-s23282
"
xml:space
="
preserve
">ab eo ſigno & </
s
>
<
s
xml:id
="
echoid-s23283
"
xml:space
="
preserve
">litera c. </
s
>
<
s
xml:id
="
echoid-s23284
"
xml:space
="
preserve
">per cen-
<
lb
/>
trum ubi eſt litera a. </
s
>
<
s
xml:id
="
echoid-s23285
"
xml:space
="
preserve
">linea perducatur, ubi erit Solis æquinoctialis radius.</
s
>
<
s
xml:id
="
echoid-s23286
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s23287
"
xml:space
="
preserve
">Analemma ad eam declinationem, quæ eſt Romæ hoc modo fit. </
s
>
<
s
xml:id
="
echoid-s23288
"
xml:space
="
preserve
">ducatur linea tranſuerſa in plano, quæ linea
<
lb
/>
planitiæ dicitur:</
s
>
<
s
xml:id
="
echoid-s23289
"
xml:space
="
preserve
">non eſt autem ipſa pro finitore, ſed pro eo plano in quo erigitur gnomon, & </
s
>
<
s
xml:id
="
echoid-s23290
"
xml:space
="
preserve
">eſt planum horo-
<
lb
/>
logij æque diſtans finitori. </
s
>
<
s
xml:id
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xml:space
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">in ea igitur ſit gnomon ad angulos rectos ea qualibet longitudine, inde fiat centrum
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lb
/>
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note-514.01.338-05
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note-514.01.338-05a
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p
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