Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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TABVLARVM SINVVM PER PET. APIANVM.
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ter & </
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<
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<
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<
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<
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.</
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diciſti inuenire, minorem ex ijs duc in totum, & </
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<
s
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poſitorũ ſinuum, arcus quotientis à 90. </
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<
s
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xml:space
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rizontalẽ ab ortu æquatoris, hoc ſcilicet quod antea Azimuth appellauimus. </
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<
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<
s
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xml:space
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PLVM
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<
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rei gratia exemplũ hoc conſidera. </
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<
s
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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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<
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<
s
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<
s
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xml:space
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<
s
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eſt, diuiſoris fungitur officio. </
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<
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<
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<
s
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xml:space
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æquatoris 48. </
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<
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<
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<
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<
s
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<
s
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<
s
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<
s
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<
s
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<
s
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xml:space
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">duco
<
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in ſinum totum, productum in diuiſorem prius cognitum diuido, & </
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<
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tiente 93326. </
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<
s
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<
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<
s
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<
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<
s
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<
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<
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<
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Azimuth ſcilicet illud rurſus alia ratione inuentũ, ̈ ſupra in 42. </
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<
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<
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<
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<
s
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">Angulum quem facit eclyptica cum circulo altitudinis, quem Sol ſiue
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ſtella attingit, ad horam aliquam propoſitam expedite cognoſcere.</
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<
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<
s
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">Primum omnium diſces hic inuenire angulum quem facit circulus altitudinis
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cum circulo maioriducto ex polo mundiper corpus ſolare, duc ita ſinum diſtantiæ So
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lis à meridie in ſinum complementi altitudinis poli, productum diuide in totum ſinum,
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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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xml:space
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">quotientem reſerua, ei´ adiunge ſinum complementi altitudinis Solis, minorem duc
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in ſinum perfectum, & </
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<
s
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<
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<
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angulus, de quo iam dixi. </
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<
s
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hunc inuentum ad angulum, quem eclyptica facit cum meridiano, ſed ſi pomeridiana ex
<
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titerit, ſubtrahe iſtum angulũ ab angulo eclypticæ & </
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<
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<
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<
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PLVM
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<
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<
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pi</
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.</
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optatus. </
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<
s
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<
s
xml:id
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xml:space
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">? Exemplo res erit facilior, diſtantia Solis ab aſcendente ſecundum eclypti-
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cam eſt 45. </
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<
s
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<
s
xml:id
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<
s
xml:id
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xml:space
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">eum duc in ſinum cõplementi altitudinis poli, ſcilicet
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66913, productum diuide in ſinum totum, & </
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<
s
xml:id
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xml:space
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in totum ſinum, illud´ productum diuide in ſinum complemẽti altitudinis poli, ſcilicet
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70875. </
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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
xml:id
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ritudinis & </
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<
s
xml:id
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xml:space
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">circulum magnum per polos mũdi ductum comprehenſus, hunc ſi addas ad
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angulum quem facit eclyptica iuxta illum gradum Solis cum meridiano (quando intro
<
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nizatïo illa ante meridiem fa cta eſt) prodibũt 120, gra. </
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<
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<
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<
s
xml:id
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xml:space
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ſus inter circulũ altitudinis & </
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<
s
xml:id
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xml:space
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lo, & </
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<
s
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<
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<
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<
s
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<
s
xml:id
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xml:space
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</
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<
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<
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<
s
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<
s
xml:id
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xml:space
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">altitudĩs circuli alio adhuc modo inueſtigare.</
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<
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</
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<
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>
<
s
xml:id
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xml:space
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>
<
s
xml:id
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xml:space
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">hic tibi ſinum complementi diſtantiæ Solis ab aſcendente, ſimul´ ſinum
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<
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<
emph
style
="
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">Lateraliter</
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>
</
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complementi altitudinis Solis, minorem duc in totum, productum diuide in maiorẽ nu-
<
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<
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xlink:label
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<
emph
style
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</
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merum ſinuum, quotientem rurſus duc in ſinum anguli eclypticæ & </
s
>
<
s
xml:id
="
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xml:space
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">horizontis quem
<
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/>
faciunt tempore conſiderationis, productum diuide in ſinũ totum, quotiente ſubtracto à
<
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/>
<
note
position
="
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xlink:label
="
note-0055-08
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xlink:href
="
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xml:space
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">EXEM.
<
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PLVM
<
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<
emph
style
="
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">Epiſcopi</
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>
.</
note
>
quadrante, remanebit angulus optatus, ſicut in exemplo ſubiecto conſpicis. </
s
>
<
s
xml:id
="
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xml:space
="
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">?</
s
>
<
s
xml:id
="
echoid-s3610
"
xml:space
="
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">? Fuerit
<
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/>
ergo in die intronizationis diſtantia Solis ab aſcẽdente 62. </
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>
<
s
xml:id
="
echoid-s3611
"
xml:space
="
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">gra. </
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>
<
s
xml:id
="
echoid-s3612
"
xml:space
="
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">59. </
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>
<
s
xml:id
="
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xml:space
="
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">mi. </
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>
<
s
xml:id
="
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xml:space
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">Complementũ
<
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eius eſt 27, gra. </
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>
<
s
xml:id
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xml:space
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">1. </
s
>
<
s
xml:id
="
echoid-s3616
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>
<
s
xml:id
="
echoid-s3617
"
xml:space
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">ſinum illius 45424. </
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>
<
s
xml:id
="
echoid-s3618
"
xml:space
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">tan̈ minorẽ numerũ duc in ſinũ totũ, productũ
<
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/>
diuide in ſinum cõplementi altitudinis Solis. </
s
>
<
s
xml:id
="
echoid-s3619
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xml:space
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<
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<
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xml:id
="
echoid-s3621
"
xml:space
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s
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<
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xml:id
="
echoid-s3622
"
xml:space
="
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">8. </
s
>
<
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xml:id
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echoid-s3623
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
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echoid-s3624
"
xml:space
="
preserve
">is eſt 70875. </
s
>
<
s
xml:id
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echoid-s3625
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xml:space
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">& </
s
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<
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xml:id
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xml:space
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in quotiente 60490. </
s
>
<
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xml:id
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echoid-s3627
"
xml:space
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">hunc iterum duc in ſinum anguli eclypticæ & </
s
>
<
s
xml:id
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echoid-s3628
"
xml:space
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dum aſcendentis, ſcilicet 5. </
s
>
<
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xml:id
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xml:space
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s
>
<
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xml:id
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"
xml:space
="
preserve
">25. </
s
>
<
s
xml:id
="
echoid-s3631
"
xml:space
="
preserve
">mi. </
s
>
<
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xml:id
="
echoid-s3632
"
xml:space
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52. </
s
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<
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xml:id
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"
xml:space
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<
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xml:id
="
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"
xml:space
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">21. </
s
>
<
s
xml:id
="
echoid-s3635
"
xml:space
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preserve
">mi. </
s
>
<
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xml:id
="
echoid-s3636
"
xml:space
="
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">ſinus autem eius eſt 79175, mox diuide productum in ſinum totum, & </
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<
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xml:id
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xml:space
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tiens dabit 50743. </
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<
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xml:id
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xml:space
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<
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xml:id
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xml:space
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<
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xml:id
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"
xml:space
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">30. </
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<
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xml:id
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"
xml:space
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preserve
">mi. </
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<
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xml:id
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"
xml:space
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">eo ſubtracto â quadra circuli, rema-
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nent 59. </
s
>
<
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xml:id
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"
xml:space
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<
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xml:id
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"
xml:space
="
preserve
">30. </
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>
<
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xml:id
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"
xml:space
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preserve
">mi. </
s
>
<
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xml:id
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"
xml:space
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">non aliter at in exemplo ſuperioris propoſitionis.</
s
>
<
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xml:id
="
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"
xml:space
="
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"/>
</
p
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</
div
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<
div
xml:id
="
echoid-div111
"
type
="
section
"
level
="
1
"
n
="
60
">
<
head
xml:id
="
echoid-head64
"
xml:space
="
preserve
">PRONVNCIATVM XLVIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s3648
"
xml:space
="
preserve
">Angulum eum ipſum quem duabus propoſitionibus oſtendimus, adhuc
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alia ratione indicare.</
s
>
<
s
xml:id
="
echoid-s3649
"
xml:space
="
preserve
"/>
</
p
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</
div
>
</
text
>
</
echo
>