Vitruvius
,
De architectura libri decem
,
1567
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514.01.342
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342
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LIBER
"/>
nanque horum duorum angulorum notitia prodeſt ad horologia in plano uerticali deſcribenda, prioris enim
<
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/>
anguli ratio altitudinem Solis ſuper eo plano indicabit, unde umbræ longitudo deprehendetur, poſterioris uero
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cognitio partem, & </
s
>
<
s
xml:id
="
echoid-s23574
"
xml:space
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">latitudinem ostendet. </
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>
<
s
xml:id
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echoid-s23575
"
xml:space
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">Iam ueniamus ad finitorem mobilem, moueaturq́ & </
s
>
<
s
xml:id
="
echoid-s23576
"
xml:space
="
preserve
">ipſe ad So-
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lem uſque ſublatus, ipſe quoque duos angulos conſtituet, alterum ex rectis, alterum ex planis, finitore ſcili-
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cet mobili, & </
s
>
<
s
xml:id
="
echoid-s23577
"
xml:space
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">immobili. </
s
>
<
s
xml:id
="
echoid-s23578
"
xml:space
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">Angulus ex rectis conſtabit radio Solis, & </
s
>
<
s
xml:id
="
echoid-s23579
"
xml:space
="
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">diametro æquinoctialis, quæ eadem eſt
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cum diametro finitoris. </
s
>
<
s
xml:id
="
echoid-s23580
"
xml:space
="
preserve
">hic altitudinem Solis præſtabit, unde longitudo umbræ elicietur, & </
s
>
<
s
xml:id
="
echoid-s23581
"
xml:space
="
preserve
">ſubtenditur ambi-
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/>
tu a loco Solis ad punctum horizontalis diametri intercepto. </
s
>
<
s
xml:id
="
echoid-s23582
"
xml:space
="
preserve
">At angulus ex duobus illis planis conſtantem
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<
figure
xlink:label
="
fig-514.01.342-01
"
xlink:href
="
fig-514.01.342-01a
"
number
="
139
">
<
caption
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echoid-caption40
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xml:space
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">Analemmatis figura.</
caption
>
<
description
xml:id
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echoid-description82
"
xml:space
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">MERIDIAN: S
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. M. M
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/>
LS
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/>
LACITREV
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M.M.
<
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MERIDIAN: .S.
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OM
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/>
VERTICA
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V.M.
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.S.
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/>
. O. M.
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ORIZON:
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W. A.
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STAB:</
description
>
</
figure
>
ambitus ille meridiani ſubtendet,
<
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/>
quod eſt inter locum Solis, & </
s
>
<
s
xml:id
="
echoid-s23583
"
xml:space
="
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">pun-
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<
note
position
="
left
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xlink:label
="
note-514.01.342-01
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xlink:href
="
note-514.01.342-01a
"
xml:space
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">10</
note
>
ctum in quo mer dianus finitorem
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ſec at ambitus hic partem & </
s
>
<
s
xml:id
="
echoid-s23584
"
xml:space
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">lati-
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tudinem dabit in qua eſt Sol, unde
<
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/>
latitudo umbræ percipitur. </
s
>
<
s
xml:id
="
echoid-s23585
"
xml:space
="
preserve
">Atque
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hæc dicta ſint de planorum mobi-
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lium, & </
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>
<
s
xml:id
="
echoid-s23586
"
xml:space
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">immobilium effectibus,
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deque angulorum rationibus, & </
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>
<
s
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="
echoid-s23587
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<
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linearũ deſcriptionibus. </
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>
<
s
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echoid-s23588
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xml:space
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">Cum hæc
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ſcriberem allatum eſt mihi inſtru-
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mentum ab Antonio Pazzio de
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<
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xlink:label
="
note-514.01.342-02
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xlink:href
="
note-514.01.342-02a
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xml:space
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">20</
note
>
quo ſuperius dixi, quod facile om-
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nia, quæ dicta ſunt ſenſibus ſubijci
<
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poſſunt. </
s
>
<
s
xml:id
="
echoid-s23589
"
xml:space
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">huius inſtrumentiratio ex
<
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/>
ipſo diagrammate intelligetur.</
s
>
<
s
xml:id
="
echoid-s23590
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xml:space
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"/>
</
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>
<
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>
<
s
xml:id
="
echoid-s23591
"
xml:space
="
preserve
">Nunc ad analemma deſignandum
<
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/>
accedam. </
s
>
<
s
xml:id
="
echoid-s23592
"
xml:space
="
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">Eſto circulus meridia-
<
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no reſpondens a b c d. </
s
>
<
s
xml:id
="
echoid-s23593
"
xml:space
="
preserve
">in tetrantes ſuos duabus diametris diuidatur a d, æquinoctiali, b c. </
s
>
<
s
xml:id
="
echoid-s23594
"
xml:space
="
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">axi re-
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ſpondeat, ita ut b, ſit ſuperior uertex, qui est ad ar cton. </
s
>
<
s
xml:id
="
echoid-s23595
"
xml:space
="
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">c, uero inferior, diuidatur tetrans a b, in partes
<
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nonaginta ab a ſigno, a quo ſeparentur partes uiginti tres, & </
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>
<
s
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echoid-s23596
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xml:space
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">dimidia, & </
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>
<
s
xml:id
="
echoid-s23597
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xml:space
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">in termino ponatur f. </
s
>
<
s
xml:id
="
echoid-s23598
"
xml:space
="
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">ab eodem
<
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/>
quoque ſeparentur partes uiginti & </
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>
<
s
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echoid-s23599
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xml:space
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">minuta duodecim, ubi ponatur o. </
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>
<
s
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xml:space
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">demum ab eodem puncto a, nume-
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<
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position
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left
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xlink:label
="
note-514.01.342-03
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xlink:href
="
note-514.01.342-03a
"
xml:space
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">30</
note
>
<
figure
xlink:label
="
fig-514.01.342-02
"
xlink:href
="
fig-514.01.342-02a
"
number
="
140
">
<
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xml:space
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">11 ſ x d 11 p k 1 2 1 2 3 4 5f 6 r 11 10 9 8 7 n f m 12 11 10 9 8 7 6 5 1 02 3 4 1g c 1 2 1 2 3 4 5 6 e 11 10 9 8 7 q b o</
variables
>
</
figure
>
rentur partes undecim, & </
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>
<
s
xml:id
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echoid-s23601
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">dimidia, & </
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>
<
s
xml:id
="
echoid-s23602
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xml:space
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">
<
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/>
in fine ponatur k. </
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>
<
s
xml:id
="
echoid-s23603
"
xml:space
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">transferantur ea-
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dem interualla ab a, inferius ita ut
<
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a f. </
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>
<
s
xml:id
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echoid-s23604
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xml:space
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">ſit a b. </
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<
s
xml:id
="
echoid-s23605
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xml:space
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">& </
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<
s
xml:id
="
echoid-s23606
"
xml:space
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">a o, ſit a q. </
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>
<
s
xml:id
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echoid-s23607
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xml:space
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">& </
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<
s
xml:id
="
echoid-s23608
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xml:space
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<
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/>
demum a k, ſit a m. </
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>
<
s
xml:id
="
echoid-s23609
"
xml:space
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">eædem diui-
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ſiones in oppoſitam partem, ſupra & </
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>
<
s
xml:id
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echoid-s23610
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xml:space
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">
<
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infra d, transſerantur ita ut ipſi f
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reſpondeat g. </
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>
<
s
xml:id
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echoid-s23611
"
xml:space
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">ipſi o, reſpondeat p.
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</
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<
s
xml:id
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echoid-s23612
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xml:space
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">ipſi k. </
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>
<
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xml:id
="
echoid-s23613
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xml:space
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">l. </
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>
<
s
xml:id
="
echoid-s23614
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xml:space
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">ipſi m. </
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>
<
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xml:id
="
echoid-s23615
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xml:space
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">n. </
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<
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xml:id
="
echoid-s23616
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xml:space
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">ipſi q. </
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<
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xml:id
="
echoid-s23617
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">r. </
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>
<
s
xml:id
="
echoid-s23618
"
xml:space
="
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">& </
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>
<
s
xml:id
="
echoid-s23619
"
xml:space
="
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">
<
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/>
demum ipſi b. </
s
>
<
s
xml:id
="
echoid-s23620
"
xml:space
="
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">i. </
s
>
<
s
xml:id
="
echoid-s23621
"
xml:space
="
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">ducantur ergo li-
<
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neæ f g. </
s
>
<
s
xml:id
="
echoid-s23622
"
xml:space
="
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">o p. </
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>
<
s
xml:id
="
echoid-s23623
"
xml:space
="
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">k l. </
s
>
<
s
xml:id
="
echoid-s23624
"
xml:space
="
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">m n. </
s
>
<
s
xml:id
="
echoid-s23625
"
xml:space
="
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">q r. </
s
>
<
s
xml:id
="
echoid-s23626
"
xml:space
="
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">b
<
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<
note
position
="
left
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xlink:label
="
note-514.01.342-04
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xlink:href
="
note-514.01.342-04a
"
xml:space
="
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">40</
note
>
i. </
s
>
<
s
xml:id
="
echoid-s23627
"
xml:space
="
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">hæ ſunt diametri ſignorum, idest cir-
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/>
culorum æquedistantium ab æquino-
<
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/>
ctiali ſecundum principiorum ſignorũ
<
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/>
declinationem, ita ut diameter f g,
<
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/>
ſit diametros circuli quem Sol facit, dũ
<
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/>
in Cancrum init. </
s
>
<
s
xml:id
="
echoid-s23628
"
xml:space
="
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">b i, ad Capricor-
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/>
num referatur. </
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>
<
s
xml:id
="
echoid-s23629
"
xml:space
="
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">o p, ad Geminos, & </
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>
<
s
xml:id
="
echoid-s23630
"
xml:space
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">
<
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/>
Leonem. </
s
>
<
s
xml:id
="
echoid-s23631
"
xml:space
="
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">k l. </
s
>
<
s
xml:id
="
echoid-s23632
"
xml:space
="
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">ad Taurum, & </
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>
<
s
xml:id
="
echoid-s23633
"
xml:space
="
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">Virgi-
<
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/>
nem. </
s
>
<
s
xml:id
="
echoid-s23634
"
xml:space
="
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">m n, ad Piſces. </
s
>
<
s
xml:id
="
echoid-s23635
"
xml:space
="
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">q r, ad A-
<
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/>
quarium, & </
s
>
<
s
xml:id
="
echoid-s23636
"
xml:space
="
preserve
">Sagittarium. </
s
>
<
s
xml:id
="
echoid-s23637
"
xml:space
="
preserve
">Diametro-
<
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<
note
position
="
left
"
xlink:label
="
note-514.01.342-05
"
xlink:href
="
note-514.01.342-05a
"
xml:space
="
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">50</
note
>
rum interualla hæc aut ex tabella de-
<
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clinationis Solis, aut ex menſtruo cir-
<
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/>
culo, & </
s
>
<
s
xml:id
="
echoid-s23638
"
xml:space
="
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">lacotomo linea ex analemma
<
lb
/>
te ſumuntur. </
s
>
<
s
xml:id
="
echoid-s23639
"
xml:space
="
preserve
">Eadem ratione per ſin-
<
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/>
gulos ſignorum gradus diametros in
<
lb
/>
analemma transferre poteris. </
s
>
<
s
xml:id
="
echoid-s23640
"
xml:space
="
preserve
">Ducan-
<
lb
/>
tur ergo ſuper diametros illas hemi-
<
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/>
cyclia, ne autem linearum confuſio fiat, quatuor tantum diametros ſumemus. </
s
>
<
s
xml:id
="
echoid-s23641
"
xml:space
="
preserve
">æquinoctialis, Tropici ſuperio-
<
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/>
ris, & </
s
>
<
s
xml:id
="
echoid-s23642
"
xml:space
="
preserve
">Tauri, inferius uero Sagittarij, quoniam ratio unius alterius rationem ostendet, ut notum erit. </
s
>
<
s
xml:id
="
echoid-s23643
"
xml:space
="
preserve
">Sint
<
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/>
ergo centra earum diametrorum collocata, ubi ea ſecant mundi axem, ita e s, centrum erit ſemicirculi in
<
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/>
<
note
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="
left
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xlink:label
="
note-514.01.342-06
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xlink:href
="
note-514.01.342-06a
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xml:space
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">60</
note
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