Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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TABVLARVM SINVVM PER PET. APIANVM.
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traho à 90. </
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<
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">& </
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<
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<
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<
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29290. </
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<
s
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">ſinus ille uerſus trium horarum, quos etiam conuertere oportet, ſicut in differẽtia
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aſcenſionali factum eſt, ſic enim regula cõſtituenda eſt proportionũ, 100000 dant 93544
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quid igitur proueniet ex 29290? </
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<
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">iuxta operationem inuenio 27399. </
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<
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to huius operationis, & </
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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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">(qui ſinus eſt complementi altitudinis poli) quid da@unt 105406? </
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<
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per multiplicationem & </
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<
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<
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52. </
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<
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<
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<
s
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">Eandem Solis altitudinem ſuper horizõtem quacun hora, & </
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<
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tium diuerſaratione indagare.</
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<
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<
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<
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<
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<
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ex pronunc. </
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<
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">30, mox à gradu Solis numera uſ ad gradũ aſcendentis, ſinũ eius duc in ſi-
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num anguli eclypticæ & </
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<
s
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">horizontis, ꝓductũ diuide in ſinũ totũ, hinc ſi quæras quotiẽtis
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arcũ, is ipſe arguit altitudinẽ Solis quã quærebas. </
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<
s
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">Atqui etiã hoc tibi obſeruandum eſt, ꝙ
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ſemper duæ horæ, altera ante, altera poſt meridiem æ qualẽ habent altitudinẽ, puta ante
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& </
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<
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habent altitudinẽ, ſimiliter & </
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<
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quacũ tandem, ſiue ante ſiue poſt meridiem, alterã amplius quærere neceſſe nõ eſt.
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</
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<
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<
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<
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<
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PLVM
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pi.</
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inueni ſub ipſam horã intronizationis 5. </
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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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rò accipienda mihi eſt diſtantia gradus Solis à gradu aſcendẽtis, ea´ eſt 62. </
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<
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Contingit etiam interdum, ꝙ diſtantia Solis ab aſcendente maior ſit 90. </
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<
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ſanè diſtantia illa ſubtrahenda tibi eſt à ſemicirculo, & </
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rationis. </
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<
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<
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<
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<
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cus à gradu Solis ad gradũ aſcendentis, qui fuit 62. </
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<
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<
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<
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<
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rũ duxero, productũ in ſinũ totũ diuiſero, prouenient in quotiente 70534. </
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<
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44. </
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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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">Rurſus alio modo cognoſcere altitudinem Solis ſuper horizontem, omni
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die & </
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<
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<
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<
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<
s
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<
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lis, deinde q̊ diſtantiã Solis à meridiano, hoc eſt diſtantiã horariã, puta q̊t horis ante uel
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<
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poſt meridiẽ altitudo illa Solis debeat ſupputari. </
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<
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clinatiõis Solis in ſinũ diſtãtiæ ante uel poſt meridiẽ, ꝓductũ diuide in ſinũ totũ, & </
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<
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tientẽ ſepone ſeorſim, qm̃ is eſt ſinus arcus diſtãtiæ Solis ab ortu æquatoris, quotiẽti op-
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<
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</
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pone ſinũ declinationis minorẽ, & </
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<
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">duc in ſinũ totũ, ꝓductũ in maiorẽ diuide, & </
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<
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tientis adde ad cõplementũ altitudinis poli, Sole exiſtente in ſigno aliquo ſeptentrionali
<
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uel ſubtrahe ab eo ubi Sol fuerit in aliquo ſignorũ meridionaliũ, quicꝗd ex hac ſiue addi-
<
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tione ſiue ſubtractione ꝓuenerit, uel reliquũ manſerit, dicet̃ angulus operationis, ꝗ ſi fue-
<
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erit quadrãs circuli, iã ipſe ꝑ ſe oſtẽdit altitudinẽ Solis quæſitã, quã antea altitudinẽ Solis
<
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uerticalẽ diximus. </
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>
<
s
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">Qđ ſi autẽ angulus operatiõis maior fuerit ̈ 90. </
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<
s
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culo, & </
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<
s
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">tunc tandẽ remanebit angulus uerus operatiõis, ſinũ anguli huius duc in ſinũ pri
<
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<
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mi q̊tientis, ꝓductũ diuide cum ſinu toto, & </
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<
s
xml:id
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">arcus quotientis mõſtrabit altitudinem Solis
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quã quærebas, ſed exemplo adiuncto melius operationẽ hanc intelliges. </
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>
<
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<
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<
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<
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PLVM
<
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<
emph
style
="
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">Epiſoo
<
unsure
/>
pi.</
emph
>
</
note
>
mihi ꝓpono horã intronizationis ampliſsimi patris & </
s
>
<
s
xml:id
="
echoid-s2940
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xml:space
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">ornatiſsimi Præſulis Auguſtẽſis
<
lb
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quæ fuit hora 9. </
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>
<
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xml:id
="
echoid-s2941
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xml:space
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">ante meridiẽ, eius diſtãtia à meridie eſt 3. </
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>
<
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xml:id
="
echoid-s2942
"
xml:space
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">horarũ, ꝗ ſunt gradus 45. </
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>
<
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xml:id
="
echoid-s2943
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xml:space
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em̃ in una hora oriunt̃ 15. </
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>
<
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xml:id
="
echoid-s2944
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xml:space
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">gradus æquino ctialis ſuꝑ horizontẽ ab ortu uerſus occaſum, ſi
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nus illius eſt 70710. </
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>
<
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="
echoid-s2945
"
xml:space
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">declinatio Solis 20. </
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>
<
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xml:id
="
echoid-s2946
"
xml:space
="
preserve
">gra. </
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>
<
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xml:id
="
echoid-s2947
"
xml:space
="
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">42. </
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>
<
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xml:id
="
echoid-s2948
"
xml:space
="
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">mi. </
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>
<
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xml:id
="
echoid-s2949
"
xml:space
="
preserve
">cõplementũ eius 69. </
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>
<
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xml:id
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echoid-s2950
"
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">gra. </
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>
<
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xml:id
="
echoid-s2951
"
xml:space
="
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">18. </
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>
<
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xml:id
="
echoid-s2952
"
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="
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">mi. </
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<
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="
echoid-s2953
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="
preserve
">ſinus
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uero 93544. </
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>
<
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="
echoid-s2954
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="
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">ſinũ iſto℞ ſi duxero in alterũ, productũ autem diuiſero in ſinum totum, </
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</
p
>
</
div
>
</
text
>
</
echo
>