Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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84
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GENVINVS VSVS
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propone unà cum ſinu complementi aſcenſionis obliquæ, minorem duc in totum, pro-
<
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<
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<
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<
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>
</
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ductum diuide in maiorem, arcum quotientis ſubtrahe de 90. </
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>
<
s
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echoid-s7006
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xml:space
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">& </
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>
<
s
xml:id
="
echoid-s7007
"
xml:space
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">reliquum dic inuentum
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ſecundum. </
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>
<
s
xml:id
="
echoid-s7008
"
xml:space
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preserve
">Poſtea duc ſinum complementi inuenti ſecundi in ſinum maximæ declina-
<
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/>
tionis Solis, productum diuide in totum, & </
s
>
<
s
xml:id
="
echoid-s7009
"
xml:space
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">arcum quotientis ſubtrahe de 90. </
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>
<
s
xml:id
="
echoid-s7010
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xml:space
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">ſic tibi ma
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<
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<
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<
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</
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nebit inuentum tertium: </
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>
<
s
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echoid-s7011
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xml:space
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">ſi autem in aſcendente fuerit aliquod ſignum ex ſignis aſcen-
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dentibus (quod ex aſcenſione recta uel obliqua, facilime cognoſces) addes tunc inuen-
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<
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<
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<
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">tertium.</
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</
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tum tertium ad complementum altitudinis poli, ſumma ea ſubtra cta de ſemicirculo, re-
<
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/>
linquitur inuentum quartum: </
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>
<
s
xml:id
="
echoid-s7012
"
xml:space
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preserve
">ſed ſi in aſcendente ſit ſignum aliquod ex deſcendentibus,
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<
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xlink:label
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<
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<
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>
</
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ſubtrahes à tertio inuento complementum altitudinis poli & </
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>
<
s
xml:id
="
echoid-s7013
"
xml:space
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">etiam tunc remanebit in
<
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/>
reſiduo inuentum quartum. </
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>
<
s
xml:id
="
echoid-s7014
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xml:space
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preserve
">Porrò inde duc ſinum inuenti quarti in ſinum complemen-
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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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ti primi inuenti, productum diuide in totum, & </
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>
<
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="
echoid-s7015
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xml:space
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">arcu quotientis de quadra circuli ſubtra
<
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cto, reliquum manet inuentum quintum. </
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>
<
s
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="
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xml:space
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">Poſtea propone tibi ſinum inuenti quinti & </
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<
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primi, minorem duc in totum, productum diuide in maiorem, arcus quotientis uoca-
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bitur inuentum ſextum. </
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>
<
s
xml:id
="
echoid-s7018
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xml:space
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">Poſtremò ſinum huius ſexti inuenti duc in ſinum quarti,
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xlink:label
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<
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<
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</
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productum diuide in totum, & </
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<
s
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echoid-s7019
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">arcus quotientis tibi dabit inuentum ultimum. </
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>
<
s
xml:id
="
echoid-s7020
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xml:space
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">Tandem
<
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nunc adde inuentum ultimum ad ſecundum, inde proueniet tibi arcus eclypticæ, quem
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<
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<
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>
</
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>
uocabis radicem aſcenſionis, quòd ſi ſignum aſcendens fuerit in prima quadra eclypti
<
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cæ, ſupputa radicem à principio Arietis, & </
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>
<
s
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echoid-s7021
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xml:space
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">ubi finitur, ibi eſt punctum illud eclypticæ
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<
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<
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<
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<
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</
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coaſcendens cum ſtella propoſita: </
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<
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xml:space
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">ſed ſi in ſecunda quadra fuerit aſcendens, numera ra
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dicem à principio Libræ cõtra ordinem ſignorum, in tertia ſimiliter à principio Libræ,
<
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ſed ſecundum ordinem uerum, in quarta iterum à principio Arietis contra ſignorum
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ordinem, & </
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>
<
s
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xml:space
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">finis iſtius computationis dabit tibi punctum eclypticæ aſcendens cum ſtel
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la illa ſuper horizontem obliquum. </
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<
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<
s
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xml:space
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">? Nuncrem hãc tibi exemplo cõmonſtrabimus.
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</
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<
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PLVM
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E
<
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Retineo autem Mercurium cum declinatione ſua & </
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<
s
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">aſcenſione ut prius, duco autem ſi-
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num maximæ declinationis in ſinum aſcenſionis obliquæ, iam inuentæ ex proximo pro
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nunciato, 25. </
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<
s
xml:id
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">gra. </
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<
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<
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<
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<
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">in 93549. </
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<
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">productum inde diuido in totum, quo
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tiens erit 17364. </
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<
s
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">arcus eius 10 gra. </
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<
s
xml:id
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">inuentum uocabitur primum. </
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>
<
s
xml:id
="
echoid-s7036
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xml:space
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">Mox duco ſinum com
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plementi aſcenſionis rectæ in totum, productum diuido in ſinum complementi primi in
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uenti, quotiens eſt 91408. </
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>
<
s
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<
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">gra. </
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<
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<
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xml:id
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">mi. </
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<
s
xml:id
="
echoid-s7041
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xml:space
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">& </
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>
<
s
xml:id
="
echoid-s7042
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xml:space
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">complementum ipſius 23.
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</
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<
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">gra. </
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<
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echoid-s7044
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<
s
xml:id
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echoid-s7045
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">mi. </
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<
s
xml:id
="
echoid-s7046
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">dicetur inuentum ſecundum. </
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>
<
s
xml:id
="
echoid-s7047
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xml:space
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">Porrò hinc duco ſinum complementi in ſinum
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maximæ declinationis Solis, & </
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>
<
s
xml:id
="
echoid-s7048
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<
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echoid-s7049
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<
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echoid-s7050
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<
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echoid-s7051
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<
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<
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echoid-s7053
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bus ſubtractis à 90. </
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<
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"
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">remanent 68. </
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<
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echoid-s7055
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xml:space
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<
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<
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xml:id
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echoid-s7057
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>
<
s
xml:id
="
echoid-s7058
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">inuentum tertium. </
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<
s
xml:id
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echoid-s7059
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xml:space
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">Præterea adhuc addo in
<
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uentum tertium ad complementum altitudinis, productum. </
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<
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echoid-s7060
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<
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echoid-s7061
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<
s
xml:id
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echoid-s7062
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">gra. </
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<
s
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="
echoid-s7063
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<
s
xml:id
="
echoid-s7064
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">mi. </
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>
<
s
xml:id
="
echoid-s7065
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">ſubtra-
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ho à ſemicirculo, & </
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>
<
s
xml:id
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echoid-s7066
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">remanent 69. </
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>
<
s
xml:id
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echoid-s7067
"
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">gra. </
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>
<
s
xml:id
="
echoid-s7068
"
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">43. </
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>
<
s
xml:id
="
echoid-s7069
"
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">mi. </
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>
<
s
xml:id
="
echoid-s7070
"
xml:space
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">inuentum quartum. </
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>
<
s
xml:id
="
echoid-s7071
"
xml:space
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">lnſuper deduco ſinũ
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quarti inuenti. </
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>
<
s
xml:id
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echoid-s7072
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xml:space
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>
<
s
xml:id
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echoid-s7073
"
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">93798. </
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>
<
s
xml:id
="
echoid-s7074
"
xml:space
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">in ſinum complementi primi inuenti 98480. </
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>
<
s
xml:id
="
echoid-s7075
"
xml:space
="
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">facta´ diuiſione in
<
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ſioum totum, proueniunt in quotient 92372. </
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>
<
s
xml:id
="
echoid-s7076
"
xml:space
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">arcus ipſe eſt 67. </
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>
<
s
xml:id
="
echoid-s7077
"
xml:space
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">gra. </
s
>
<
s
xml:id
="
echoid-s7078
"
xml:space
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">29. </
s
>
<
s
xml:id
="
echoid-s7079
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">mi. </
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>
<
s
xml:id
="
echoid-s7080
"
xml:space
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">is de 90. </
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>
<
s
xml:id
="
echoid-s7081
"
xml:space
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">ſub-
<
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tractus, relinquit à ſe 22. </
s
>
<
s
xml:id
="
echoid-s7082
"
xml:space
="
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">gra. </
s
>
<
s
xml:id
="
echoid-s7083
"
xml:space
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">3. </
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>
<
s
xml:id
="
echoid-s7084
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xml:space
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">mi. </
s
>
<
s
xml:id
="
echoid-s7085
"
xml:space
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">inuentum ſcilicet quintum. </
s
>
<
s
xml:id
="
echoid-s7086
"
xml:space
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">Sinum iam porrò primi
<
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inuenti duco adbuc in totum, & </
s
>
<
s
xml:id
="
echoid-s7087
"
xml:space
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">productum diuido in ſinum quinti inuenti. </
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>
<
s
xml:id
="
echoid-s7088
"
xml:space
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">ſ. </
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>
<
s
xml:id
="
echoid-s7089
"
xml:space
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">38295. </
s
>
<
s
xml:id
="
echoid-s7090
"
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">
<
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quotiens eſt 45343. </
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>
<
s
xml:id
="
echoid-s7091
"
xml:space
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">arcus eius 26. </
s
>
<
s
xml:id
="
echoid-s7092
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">gra. </
s
>
<
s
xml:id
="
echoid-s7093
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">58. </
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>
<
s
xml:id
="
echoid-s7094
"
xml:space
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">mi. </
s
>
<
s
xml:id
="
echoid-s7095
"
xml:space
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">uocatur inuentum ſextum. </
s
>
<
s
xml:id
="
echoid-s7096
"
xml:space
="
preserve
">Poſtremò du-
<
lb
/>
co ſinum huius inuenti in ſinum quarti inuenti. </
s
>
<
s
xml:id
="
echoid-s7097
"
xml:space
="
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">ſ. </
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>
<
s
xml:id
="
echoid-s7098
"
xml:space
="
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">93798. </
s
>
<
s
xml:id
="
echoid-s7099
"
xml:space
="
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">productum diuido in totũ, quo
<
lb
/>
tiens erit 42530. </
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>
<
s
xml:id
="
echoid-s7100
"
xml:space
="
preserve
">arcus eius 25. </
s
>
<
s
xml:id
="
echoid-s7101
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7102
"
xml:space
="
preserve
">48. </
s
>
<
s
xml:id
="
echoid-s7103
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7104
"
xml:space
="
preserve
">uocatur inuentum ultimum, hinc addo inuen
<
lb
/>
tum ſecundum ſ. </
s
>
<
s
xml:id
="
echoid-s7105
"
xml:space
="
preserve
">23. </
s
>
<
s
xml:id
="
echoid-s7106
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7107
"
xml:space
="
preserve
">55. </
s
>
<
s
xml:id
="
echoid-s7108
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7109
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s7110
"
xml:space
="
preserve
">proueniunt 49. </
s
>
<
s
xml:id
="
echoid-s7111
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7112
"
xml:space
="
preserve
">43. </
s
>
<
s
xml:id
="
echoid-s7113
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7114
"
xml:space
="
preserve
">quibus iuxta modũ opera
<
lb
/>
tionis, maxime iam exiſtente ſigno aſcendente in prima quadra, numeratis à principio
<
lb
/>
♈ ſecundum ordinem ſignorum, pertingit numerus ille uſ ad 19. </
s
>
<
s
xml:id
="
echoid-s7115
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7116
"
xml:space
="
preserve
">43. </
s
>
<
s
xml:id
="
echoid-s7117
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7118
"
xml:space
="
preserve
">♉, & </
s
>
<
s
xml:id
="
echoid-s7119
"
xml:space
="
preserve
">cũ
<
lb
/>
eo ipſo puncto Mercurius in die & </
s
>
<
s
xml:id
="
echoid-s7120
"
xml:space
="
preserve
">loco intronizationis ſtabat in horizonte. </
s
>
<
s
xml:id
="
echoid-s7121
"
xml:space
="
preserve
">Quod ſi
<
lb
/>
adhuc ſcire cupis, cum quo tandem gradu eclypticæ quælibet ſtella occidat, accipe aſcen
<
lb
/>
ſionem obliquam ex 92. </
s
>
<
s
xml:id
="
echoid-s7122
"
xml:space
="
preserve
">pronunciato, & </
s
>
<
s
xml:id
="
echoid-s7123
"
xml:space
="
preserve
">arcum ſemidiurnum eum duplicato, & </
s
>
<
s
xml:id
="
echoid-s7124
"
xml:space
="
preserve
">dupla-
<
lb
/>
tum adde aſcẽſioni obliquæ, at is ipſe gradus, quem illa ſumma in æquatore attingit,
<
lb
/>
eſt in horizonte orientali, quando ſtella eſt occaſura in parte occidentis, ſi iam ꝑ 30. </
s
>
<
s
xml:id
="
echoid-s7125
"
xml:space
="
preserve
">pro-
<
lb
/>
nunc. </
s
>
<
s
xml:id
="
echoid-s7126
"
xml:space
="
preserve
">quæras gradũ eclypticæ qui cũ illo gradu aſcendit, deinde accipias gradũ ei diame
<
lb
/>
traliter oppoſitũ, habebis gradũ cum iſta ſtella occidentẽ. </
s
>
<
s
xml:id
="
echoid-s7127
"
xml:space
="
preserve
">Puta, aſcenſio obliqua Mercu
<
lb
/>
rij eſt 25. </
s
>
<
s
xml:id
="
echoid-s7128
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7129
"
xml:space
="
preserve
">49. </
s
>
<
s
xml:id
="
echoid-s7130
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7131
"
xml:space
="
preserve
">arcus aũt ſemidiurnus 130. </
s
>
<
s
xml:id
="
echoid-s7132
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7133
"
xml:space
="
preserve
">48. </
s
>
<
s
xml:id
="
echoid-s7134
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7135
"
xml:space
="
preserve
">utrũ id per ſuperiorẽ ꝓppo
<
lb
/>
ſitionẽ inueni, arcus duplicatus eſt 207. </
s
>
<
s
xml:id
="
echoid-s7136
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s7137
"
xml:space
="
preserve
">36. </
s
>
<
s
xml:id
="
echoid-s7138
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7139
"
xml:space
="
preserve
">ꝗbus addo 25. </
s
>
<
s
xml:id
="
echoid-s7140
"
xml:space
="
preserve
">gra 49. </
s
>
<
s
xml:id
="
echoid-s7141
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s7142
"
xml:space
="
preserve
">ſumma </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
