Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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TABVLARVM SINVVM PER PET. APIANVM.
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<
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<
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<
s
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">Habita iam aſcenſione recta in æquinoctiali, arcum ipſius eclypticæ cum
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eo aſcendentem in ſphæra recta cognoſcere.</
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<
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<
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<
s
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xml:space
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">Pronunciatũ hoc quo inuertit quod ſuperior docuerat, at ideo qñ multũ cõueniũt
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ambæ illæ, diutius hic nõ immorabimur oſtendẽdo, quõ aſcenſio recta debeat intelligi,
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ſed prætermiſsis amba gibus & </
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<
s
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">inuolutis uerbis, ad ipſam ſtatim operationẽ uenia mus.
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</
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<
s
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xml:space
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">Vbi iam noris, qualis declinatio eclypticæ fit penes arcũ æquinoctialis, ex ſuperiori ꝓ-
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poſitiõe aſcenſionẽ eclypticæ cũ æquino ctiali facile inuenies hoc modo. </
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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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ſinum declinatiõis cũ toto ſinu, & </
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<
s
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">ꝓductũ diuidas cum ſinu maximæ declinatiõis ☉(sun), ar
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cus quotientis mõſtrabit tibi arcũ eclypticæ, qui cũ arcu æquatoris aſcẽdit in ſphæra re
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cta. </
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<
s
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">Habe eius rei hoc tibi exemplũ. </
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<
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">Sit arcus æquatoris à principio æquinoctialis 60.
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</
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<
s
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<
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<
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<
s
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">declinatio aũt eclypticæ in eoloco 20. </
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ubi duxeris in totũ ſinũ ꝓductũ inde diuiſeris in ſinũ rectũ maximæ declinatiõis ☉(sun), puta
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39874. </
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<
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<
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<
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<
s
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xml:space
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">hoc ipſum ſi numerem à
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<
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<
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principio ♈, deſinet numerus in 2. </
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<
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<
s
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<
s
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aũt modus ille non ſit uerus ac ſolidus, quũ uſurpari nequeat in arcu æquatoris, ſed ad de
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clinationẽ tantũ, nolui tamẽ, & </
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<
s
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">hũc ipſum te latere, ne ꝗd haberes ambiguum in ijs quæ
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obiter tibi circa hãc rem poſſent offerri & </
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<
s
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<
s
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">Alia etea quidẽ aptiſsima operatio
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hæc eſt, propoſitum habes arcũ æquatoris, iam´ cupis inuenire arcum ſuum coaſcẽden
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tem in eclyptica, multiplica principio ſinum cõplementi arcus æquinoctialis propoſiti,
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ſi ſaltem ſit quadrante minor, cũ ſinu maximæ declinationis, ꝓductũ inde diuide per ſinũ
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<
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<
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totũ & </
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<
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<
s
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">ſinũ reſidui tibi ꝓpone, ſimul´ ſinũ arcus propoſi
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ti æquatoris, uter eorũ fuerit minor, multiplicandus erit cũ toto ſinu, ꝓductum´ diui-
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dendum in ſinũ maiorem, & </
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>
<
s
xml:id
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">tunc arcus quotientis monſtrabit tibi arcũ eclypticæ, qui cũ
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arcu æquatoris propoſito aſcendit in ſphæra recta. </
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<
s
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xml:space
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">lam autẽ fixo hic pede priuſ̈ ulteri-
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us in regula progrediamur, lubet exemplo rem apertius declarare, quando adhuc opera
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tio in recenti memoria hæret. </
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<
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<
s
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">? Eſto ut hora intronizationis Solis in aſcenſione recta
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PLVM
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<
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pi.</
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contigerit 60. </
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<
s
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<
s
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<
s
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">mi ego aũt cupiã ſcire gradũ Solis in eclyptica, eum facile cogno
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ſcam ſi quæſiero arcũ eclypticæ, qui cũ arcu æquatoris aſcẽdit in ſphæra recta: </
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<
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duco ſinũ cõplementi arcus propoſiti æquatoris. </
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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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">in ſinũ maxi-
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mæ declinatiõis Solis, puta 39874. </
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<
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xml:space
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">productũ diuido cũ ſinu toto, prodibunt in quotiẽte
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19726. </
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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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<
s
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poſiti arcus æquatoris 86906. </
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<
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">ſinum illum (quãdo minimus eſt) multiplico cũ toto, pro-
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ductum diuido in maiorem, & </
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<
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<
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<
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<
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mi. </
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<
s
xml:id
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xml:space
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">at is eſt arcus eclypticæ ſimul aſcendens cum arcu æquatoris propoſito in ſphæ-
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ra recta, tunc ſi reijciam 60. </
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<
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<
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<
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<
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<
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<
s
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arcus propoſitus æquatoris maior ſit ̈ 90. </
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<
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xml:space
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">& </
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<
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<
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culo, & </
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<
s
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<
s
xml:id
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xml:space
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">atqui numerus poſtremo inuentus
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uerus nõ eſt, niſi eũ à ſemicirculo ſubtrahes, tunc tandem manebit arcus quælitus, quem
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ſemper numerabis à principio ♈. </
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<
s
xml:id
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xml:space
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">Quid uero ſi arcus propoſitus æquatoris fuerit ſemi-
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circulo maior @ tunc ſane ſubtrahe ſemicir culum gra. </
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<
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<
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xml:space
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">& </
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<
s
xml:id
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xml:space
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">cum eo, quod reliquũ ma-
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net, operare ſicut edoctus es antea. </
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<
s
xml:id
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xml:space
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">At extremũ quũ omnia iam perfeceris, adhuc adde
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180. </
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<
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xml:space
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">& </
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<
s
xml:id
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xml:space
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">ſic demum habebis arcum eclypticæ, quem tam operoſe hactenus inquirebas.</
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<
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">PRONVNCIATVM IX.</
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<
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<
s
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xml:space
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">Quum arcum aliquẽ eclypticæ cognoſcere cupis, cum quo æqualis arcus
<
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æquatoris aſcẽdit in ſphæra recta, iam´ principiũ ſiue terminus illius arcus
<
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tibi innotuit, alterum quo terminũ ex artificioſa ſupputatione colligere.</
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<
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</
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<
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<
s
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">Arcũ hic eclypticæ intellige inter duo ſigna cardinalia intercluſum, ut inter ♈ & </
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<
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mũ mi. </
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<
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">♋, inter primũ pũctũ ♋ & </
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<
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<
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<
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">♑ & </
s
>
<
s
xml:id
="
echoid-s1286
"
xml:space
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">♈, tbi ſa
<
lb
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nè talis erit operatio. </
s
>
<
s
xml:id
="
echoid-s1287
"
xml:space
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preserve
">Eius termini ſiue principij tandẽ ſiue finis tibi cogniti quære de
<
lb
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clinationẽ per ꝓpoſitionẽ 5. </
s
>
<
s
xml:id
="
echoid-s1288
"
xml:space
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preserve
">declinationis illius ſinũ cõplementi tibi propone, ſimul´ </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
