Vitruvius
,
De architectura libri decem
,
1567
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<
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322
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514.01.354
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354
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LIBER
"/>
mate ſume ſpatium a x. </
s
>
<
s
xml:id
="
echoid-s24560
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s24561
"
xml:space
="
preserve
">in æquinoctiali radio, quod in duodenas æquas partes diuidito, idem facito ab
<
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/>
a. </
s
>
<
s
xml:id
="
echoid-s24562
"
xml:space
="
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">ad x. </
s
>
<
s
xml:id
="
echoid-s24563
"
xml:space
="
preserve
">eas partes in æquinoctiales lineas columellæ transferas. </
s
>
<
s
xml:id
="
echoid-s24564
"
xml:space
="
preserve
">Sume iterum ſpatium ex analemmate r
<
lb
/>
k. </
s
>
<
s
xml:id
="
echoid-s24565
"
xml:space
="
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">uel l g. </
s
>
<
s
xml:id
="
echoid-s24566
"
xml:space
="
preserve
">hoc ita diuides, ut pars, quæ eſt ab u. </
s
>
<
s
xml:id
="
echoid-s24567
"
xml:space
="
preserve
">ad k. </
s
>
<
s
xml:id
="
echoid-s24568
"
xml:space
="
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">ſupra horizontem e a i. </
s
>
<
s
xml:id
="
echoid-s24569
"
xml:space
="
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">in duodecim ſeces æ.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s24570
"
xml:space
="
preserve
">quas partes, & </
s
>
<
s
xml:id
="
echoid-s24571
"
xml:space
="
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">partem ſub horizonte ab a. </
s
>
<
s
xml:id
="
echoid-s24572
"
xml:space
="
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">ad r. </
s
>
<
s
xml:id
="
echoid-s24573
"
xml:space
="
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">ſimiliter diuidas in duodenas portiones. </
s
>
<
s
xml:id
="
echoid-s24574
"
xml:space
="
preserve
">has omnes tranſ
<
lb
/>
feras in columella ad lineam ſolſtitiij, ideſt Cancri, idem facito de linea g l. </
s
>
<
s
xml:id
="
echoid-s24575
"
xml:space
="
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">partire ab s. </
s
>
<
s
xml:id
="
echoid-s24576
"
xml:space
="
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">ad l. </
s
>
<
s
xml:id
="
echoid-s24577
"
xml:space
="
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">in partes
<
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/>
duodecim, & </
s
>
<
s
xml:id
="
echoid-s24578
"
xml:space
="
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">ad g. </
s
>
<
s
xml:id
="
echoid-s24579
"
xml:space
="
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">ſimiliter, & </
s
>
<
s
xml:id
="
echoid-s24580
"
xml:space
="
preserve
">eas ſectiones ad lineam brumæ, hoc eſt Capricorni transferto ordine
<
lb
/>
quo in analemmate ponuntur. </
s
>
<
s
xml:id
="
echoid-s24581
"
xml:space
="
preserve
">quod ſi ex analemmate aliorum ſignorum diametros ſumpſeris, & </
s
>
<
s
xml:id
="
echoid-s24582
"
xml:space
="
preserve
">eas ea ra-
<
lb
/>
tione diuiſeris, ut partes ſupra, & </
s
>
<
s
xml:id
="
echoid-s24583
"
xml:space
="
preserve
">infra horizontem diuidas in duodecim portiones, & </
s
>
<
s
xml:id
="
echoid-s24584
"
xml:space
="
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">eas in columella ad
<
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/>
ſuas lineas trans ſeras, optime tranſuerſas horarum lineas a punctis mutuis, & </
s
>
<
s
xml:id
="
echoid-s24585
"
xml:space
="
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">reſpondentibus duces. </
s
>
<
s
xml:id
="
echoid-s24586
"
xml:space
="
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">nam li-
<
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/>
nea, quæ a puncto a. </
s
>
<
s
xml:id
="
echoid-s24587
"
xml:space
="
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">per punctum V. </
s
>
<
s
xml:id
="
echoid-s24588
"
xml:space
="
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">ad ſignum. </
s
>
<
s
xml:id
="
echoid-s24589
"
xml:space
="
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">s. </
s
>
<
s
xml:id
="
echoid-s24590
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s24591
"
xml:space
="
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">rurſus ab s. </
s
>
<
s
xml:id
="
echoid-s24592
"
xml:space
="
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">ad a. </
s
>
<
s
xml:id
="
echoid-s24593
"
xml:space
="
preserve
">in columella peruenerit, linea
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.354-01
"
xlink:href
="
note-514.01.354-01a
"
xml:space
="
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">10</
note
>
erit quæ horas diurnas a nocturnis ſeparabit. </
s
>
<
s
xml:id
="
echoid-s24594
"
xml:space
="
preserve
">Signato igitur ſuis numeris horas in præſcriptis ſectionibus, & </
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>
<
s
xml:id
="
echoid-s24595
"
xml:space
="
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<
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/>
ſub lineis menſtruis ſignorum ſingulorum caracteres appone: </
s
>
<
s
xml:id
="
echoid-s24596
"
xml:space
="
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">& </
s
>
<
s
xml:id
="
echoid-s24597
"
xml:space
="
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">columellam ita deſignatam erige axiculo in
<
lb
/>
imo eius impoſito, ut in foramen ſubiectum ingredi, & </
s
>
<
s
xml:id
="
echoid-s24598
"
xml:space
="
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">conuolui poſſit. </
s
>
<
s
xml:id
="
echoid-s24599
"
xml:space
="
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">Pedem columellæ orbiculo circunda-
<
lb
/>
bis æreo, uet rotam appones denticulis 360. </
s
>
<
s
xml:id
="
echoid-s24600
"
xml:space
="
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">diſſectam ita ut ſub erecta collumella, rota alia in planum po-
<
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/>
ſita dentata, & </
s
>
<
s
xml:id
="
echoid-s24601
"
xml:space
="
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">uerſata, eius orbiculi dentes impellat, ita ut ſingulis diebus dentes ſingulos moueat. </
s
>
<
s
xml:id
="
echoid-s24602
"
xml:space
="
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">Ea uero
<
lb
/>
quæ in plano fuerit, ab alia impellatur, quæ in plano poſita ſit, & </
s
>
<
s
xml:id
="
echoid-s24603
"
xml:space
="
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">unicum habeat dẽticulum in capite ſui axis,
<
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/>
hæc quoque ab alia impellitur rota in cultro poſita, & </
s
>
<
s
xml:id
="
echoid-s24604
"
xml:space
="
preserve
">in fronte dentata paribus cum ſuperiori denticulis,
<
lb
/>
ita ut quæque ſemel in die totam faciat circuitionem, ſecundum quod eorum axis mouebitur. </
s
>
<
s
xml:id
="
echoid-s24605
"
xml:space
="
preserve
">circum axem
<
lb
/>
funis inuoluitur, qui habebit ex uno capite phellum, uel ſcaphium, ſeu tympanum inuerſum, & </
s
>
<
s
xml:id
="
echoid-s24606
"
xml:space
="
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">ex alia æqui-
<
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/>
pondium. </
s
>
<
s
xml:id
="
echoid-s24607
"
xml:space
="
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">Phellos aut in arcula, aut uaſe collocabitur, in quod ex caſtello influet aqua, quæſcaphum ſuble-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.354-02
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xlink:href
="
note-514.01.354-02a
"
xml:space
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">20</
note
>
uabit, & </
s
>
<
s
xml:id
="
echoid-s24608
"
xml:space
="
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">æquipondium axem funiculo circumuoluet, axis rotam in cultro poſitam mouebit, ea in plano poſi-
<
lb
/>
tam mouebit, quæ denticulo in capite eius axis collocato, motionem, & </
s
>
<
s
xml:id
="
echoid-s24609
"
xml:space
="
preserve
">uerſationem eius faciet, quæ in plano
<
lb
/>
erat denticulis formata, quæ orbiculum, uel rotam columellæ impellendo quotidie partem unam ex 360. </
s
>
<
s
xml:id
="
echoid-s24610
"
xml:space
="
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">cõ-
<
lb
/>
tinget, ita ut in anno perfectam circinationem columella perficiat. </
s
>
<
s
xml:id
="
echoid-s24611
"
xml:space
="
preserve
">Sed ut horæ indicentur, ita eſt aqua tempe-
<
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/>
randa. </
s
>
<
s
xml:id
="
echoid-s24612
"
xml:space
="
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">Conos, pyramides, uel metas duas æreas ex torno facies. </
s
>
<
s
xml:id
="
echoid-s24613
"
xml:space
="
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">altera ſit caua, altera ſolida, & </
s
>
<
s
xml:id
="
echoid-s24614
"
xml:space
="
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">ita perfecta,
<
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/>
ut in cauam inire, conuenireq́; </
s
>
<
s
xml:id
="
echoid-s24615
"
xml:space
="
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">poßit. </
s
>
<
s
xml:id
="
echoid-s24616
"
xml:space
="
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">cauæ conus ſit perforatus tenui foramine, in quo perforata gemma, uel
<
lb
/>
æurum imponatur, ut ex eo aqua effluat, ſolidæ regula in baſimedia infigatur, uel coagmentetur, regula me-
<
lb
/>
dia findatur, ut cunei per eius apertiones immitti poßint maiores, uel minores, ut uſus postulabit. </
s
>
<
s
xml:id
="
echoid-s24617
"
xml:space
="
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">regula itẽ-
<
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/>
directa maneat inter duas tranſuerſas regulas, & </
s
>
<
s
xml:id
="
echoid-s24618
"
xml:space
="
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">caua meta etiam loculamento imponatur, ut ſustineri poſ-
<
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/>
ſit, & </
s
>
<
s
xml:id
="
echoid-s24619
"
xml:space
="
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">in eam directe ſolida intrare queat. </
s
>
<
s
xml:id
="
echoid-s24620
"
xml:space
="
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">Metæ ita collo catæ recipiant aquama quodam uaſe, quod Vitru.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s24621
"
xml:space
="
preserve
">
<
note
position
="
left
"
xlink:label
="
note-514.01.354-03
"
xlink:href
="
note-514.01.354-03a
"
xml:space
="
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">30</
note
>
Castellum uocat, tunc adiectione cuneorum, uel unius cunei interiori fixione, extolletur ſolida meta, & </
s
>
<
s
xml:id
="
echoid-s24622
"
xml:space
="
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">aqua
<
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/>
maiori impetu in cauam metam influet, & </
s
>
<
s
xml:id
="
echoid-s24623
"
xml:space
="
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">maior copia ex tenui foramine effluet, in arcam ſubiectam in qua
<
lb
/>
phellos erat poſitum. </
s
>
<
s
xml:id
="
echoid-s24624
"
xml:space
="
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">quod ſi cuneos detraxeris, uel eundem retraxeris, ſolida meta cauam implebit, ncc per-
<
lb
/>
mittet aquæ copiam ingredi, ita fiet ut minori impetu expulſa aqua, minori etiam copia eforamine exeat, in
<
lb
/>
arcam ſubiectam, unde phellos motionis celeritatem mutabit. </
s
>
<
s
xml:id
="
echoid-s24625
"
xml:space
="
preserve
">cognoſcendum uero est, quanta uis aquæ ex cu-
<
lb
/>
neorum detractione, uel adiectione in cauam metam influere poſſit, quod experimento, uel alia ratione tenta-
<
lb
/>
bis. </
s
>
<
s
xml:id
="
echoid-s24626
"
xml:space
="
preserve
">aqua igitur in arcam influens ſcaphum ſubleuabit, cui regula infigetur. </
s
>
<
s
xml:id
="
echoid-s24627
"
xml:space
="
preserve
">Regulæ ſigillum imponetur uir-
<
lb
/>
gulam horarum indicem tenens. </
s
>
<
s
xml:id
="
echoid-s24628
"
xml:space
="
preserve
">quod aſcenſione, & </
s
>
<
s
xml:id
="
echoid-s24629
"
xml:space
="
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">deſcenſione horas in columella deſcriptas oſtendet, dum
<
lb
/>
columella quotidie aliam, atque aliam ſigni lineam uerſando ad ſigillum uertet. </
s
>
<
s
xml:id
="
echoid-s24630
"
xml:space
="
preserve
">eo autem modo quo imple-
<
lb
/>
tur arca, exinanitur per metas in fundo poſitas, & </
s
>
<
s
xml:id
="
echoid-s24631
"
xml:space
="
preserve
">cuneis temperatas, utin diagrammate uideri potest.</
s
>
<
s
xml:id
="
echoid-s24632
"
xml:space
="
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"/>
</
p
>
<
note
position
="
left
"
xml:space
="
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">40</
note
>
<
p
>
<
s
xml:id
="
echoid-s24633
"
xml:space
="
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">Fiunt etiam alio genere horologia hyberna, quæ anaporica dicuntur, perſiciunturq; </
s
>
<
s
xml:id
="
echoid-s24634
"
xml:space
="
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">rationibus
<
lb
/>
his. </
s
>
<
s
xml:id
="
echoid-s24635
"
xml:space
="
preserve
">Horæ diſponuntur ex uirgulis æneis ex analemmatos deſcriptione ab centro diſpoſitæ in fronte.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s24636
"
xml:space
="
preserve
">In ea circuli ſunt circundati menſtrua ſpatia finientes: </
s
>
<
s
xml:id
="
echoid-s24637
"
xml:space
="
preserve
">poſt has uirgulas tym panum collocetur, in quo
<
lb
/>
deſcriptus, & </
s
>
<
s
xml:id
="
echoid-s24638
"
xml:space
="
preserve
">pictus ſit mundus ſigniferq́; </
s
>
<
s
xml:id
="
echoid-s24639
"
xml:space
="
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">circulus, deſcriptioq́; </
s
>
<
s
xml:id
="
echoid-s24640
"
xml:space
="
preserve
">ex duodecim cœleſtium ſignorum
<
lb
/>
fit figurata, cuius e. </
s
>
<
s
xml:id
="
echoid-s24641
"
xml:space
="
preserve
">in centro deformatur cuiuſlibet ſigni ſpatium unum maius, alterum minus.</
s
>
<
s
xml:id
="
echoid-s24642
"
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s24643
"
xml:space
="
preserve
">Artificioſum maxime horologij genus deſcribitur, uel innuitur potius a Vitruuio. </
s
>
<
s
xml:id
="
echoid-s24644
"
xml:space
="
preserve
">duas habet partes tra-
<
lb
/>
ctatio hæc, altera pertinet ad horologij ſubiectionem, altera ad aquæ temperationem. </
s
>
<
s
xml:id
="
echoid-s24645
"
xml:space
="
preserve
">Horologij ſubiectio duas
<
lb
/>
partes habet, altera est horarum deſcriptio, altera eſt cœli, ſyderumq́; </
s
>
<
s
xml:id
="
echoid-s24646
"
xml:space
="
preserve
">deſignatio. </
s
>
<
s
xml:id
="
echoid-s24647
"
xml:space
="
preserve
">Horarum deſcriptio ſumi-
<
lb
/>
tur ab analemmate, ſed qua ratione non docet Vitr. </
s
>
<
s
xml:id
="
echoid-s24648
"
xml:space
="
preserve
">Non minus ab eodem deſideratur cœli, ſyderumq́; </
s
>
<
s
xml:id
="
echoid-s24649
"
xml:space
="
preserve
">deſi-
<
lb
/>
gnatio. </
s
>
<
s
xml:id
="
echoid-s24650
"
xml:space
="
preserve
">quare hæc utraque ostendenda eſſe arbitror. </
s
>
<
s
xml:id
="
echoid-s24651
"
xml:space
="
preserve
">Analemma igitur a ſphæra ſumitur in planum proiecta.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s24652
"
xml:space
="
preserve
">
<
note
position
="
left
"
xlink:label
="
note-514.01.354-05
"
xlink:href
="
note-514.01.354-05a
"
xml:space
="
preserve
">50</
note
>
proijcere ſphæram in plano nihil aliud est, quàm omnes eius circulos, omnia ſigna, in plano deſcribere, ita ut
<
lb
/>
eandem uim habeant in plano, quam in ſphæra tenent; </
s
>
<
s
xml:id
="
echoid-s24653
"
xml:space
="
preserve
">id autem fit opticis rationibus, eo modo, quo tabellæ
<
lb
/>
astrolabij componuntur. </
s
>
<
s
xml:id
="
echoid-s24654
"
xml:space
="
preserve
">Deſcribatur in plano circulus per orbis cardines permeans a b c d. </
s
>
<
s
xml:id
="
echoid-s24655
"
xml:space
="
preserve
">ponatur
<
lb
/>
diametri æquidiſtantium circulorum quemadmodum in analemmate f l. </
s
>
<
s
xml:id
="
echoid-s24656
"
xml:space
="
preserve
">brumæ. </
s
>
<
s
xml:id
="
echoid-s24657
"
xml:space
="
preserve
">b d. </
s
>
<
s
xml:id
="
echoid-s24658
"
xml:space
="
preserve
">æquatoris. </
s
>
<
s
xml:id
="
echoid-s24659
"
xml:space
="
preserve
">i m.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s24660
"
xml:space
="
preserve
">ſolstitij. </
s
>
<
s
xml:id
="
echoid-s24661
"
xml:space
="
preserve
">a, ſit cardo in quo uiſus noſter ponitur. </
s
>
<
s
xml:id
="
echoid-s24662
"
xml:space
="
preserve
">c, vero oppoſitus cardo. </
s
>
<
s
xml:id
="
echoid-s24663
"
xml:space
="
preserve
">ducantur radij ab A. </
s
>
<
s
xml:id
="
echoid-s24664
"
xml:space
="
preserve
">ad rectam
<
lb
/>
lineam ſubiecti plani per extrema diametrorum, & </
s
>
<
s
xml:id
="
echoid-s24665
"
xml:space
="
preserve
">ſint a f g. </
s
>
<
s
xml:id
="
echoid-s24666
"
xml:space
="
preserve
">a b h. </
s
>
<
s
xml:id
="
echoid-s24667
"
xml:space
="
preserve
">a i k. </
s
>
<
s
xml:id
="
echoid-s24668
"
xml:space
="
preserve
">a e c. </
s
>
<
s
xml:id
="
echoid-s24669
"
xml:space
="
preserve
">dico punctum
<
lb
/>
e. </
s
>
<
s
xml:id
="
echoid-s24670
"
xml:space
="
preserve
">alterum cardinem in linea repræſentare, punctum g. </
s
>
<
s
xml:id
="
echoid-s24671
"
xml:space
="
preserve
">extremam diametri brumæ, punctum h. </
s
>
<
s
xml:id
="
echoid-s24672
"
xml:space
="
preserve
">extre-
<
lb
/>
mam diametron æquatoris. </
s
>
<
s
xml:id
="
echoid-s24673
"
xml:space
="
preserve
">punctum k. </
s
>
<
s
xml:id
="
echoid-s24674
"
xml:space
="
preserve
">extremam diametri ſolstitij referre. </
s
>
<
s
xml:id
="
echoid-s24675
"
xml:space
="
preserve
">centro igitur C. </
s
>
<
s
xml:id
="
echoid-s24676
"
xml:space
="
preserve
">ſpatio uero
<
lb
/>
c g. </
s
>
<
s
xml:id
="
echoid-s24677
"
xml:space
="
preserve
">ducito circulum, referet is circulum brumæ. </
s
>
<
s
xml:id
="
echoid-s24678
"
xml:space
="
preserve
">Spatio autem c h. </
s
>
<
s
xml:id
="
echoid-s24679
"
xml:space
="
preserve
">ductio circulum, referet is æqua-
<
lb
/>
torem, ſpatio demum c k. </
s
>
<
s
xml:id
="
echoid-s24680
"
xml:space
="
preserve
">ducito circulum, referet is ſolſtitij circulum. </
s
>
<
s
xml:id
="
echoid-s24681
"
xml:space
="
preserve
">eadem ſi infra tropicos alios æqui-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.354-06
"
xlink:href
="
note-514.01.354-06a
"
xml:space
="
preserve
">60</
note
>
</
s
>
</
p
>
</
div
>
</
div
>
</
text
>
</
echo
>
