Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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GENVINVS VSVS
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num cõplementi maximæ declinationis Solis, & </
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ctum diuide in ſinũ complementi declinationis ꝓpoſiti arcus, arcus quotiẽtis ex 90. </
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latus relinquit declinationẽ alterius pũcti finalis. </
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<
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ctum eclypticæ, q̊d declinationi illi reſpõdeat. </
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<
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xml:space
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mihi 2. </
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<
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PLVM
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E
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pi.</
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tione 5. </
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co ſinũ cõplementi maximæ declinationis 91706. </
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plemẽti dati arcus, & </
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ſi ſubduxero à 90. </
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<
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at hinc uſ in 2. </
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tionem quæro gradũ eclypticæ cõuenientẽ cũ hac ipſa declinatione 11. </
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uenio 29. </
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<
s
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<
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<
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ceſsionem habet ſuper aſcenſionem rectam, longe maximam, quam aliquis
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arcus eclypticæ unquam habere poteſt, beneficio numerorum indagare.</
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<
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<
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<
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ſinum cõplementi maximæ declinationis, qui eſt 91706. </
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<
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lo quod inde prouenit, quære radicem quadratam, quæ in tali declinatione erit 95763.
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</
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<
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complementum ip ſius ſcilicet 16. </
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<
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ius puncti eclypticæ. </
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<
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<
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tioni reſpõdeat, & </
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<
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in 16. </
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ſcenſionem eius per 7. </
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<
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<
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in unam ſummã redigas, conficient tibi 90. </
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<
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nem rectam erit 2. </
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quamobrẽ hic tanquã cõmodiore loco & </
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<
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<
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ſummam redactum tibi proponat, quemlibet arcum eclypticæ & </
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<
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ſibi correſpondentis inde elicere.</
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<
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<
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tu iam quẽlibet ſingillare ſcire cupis, maximã tibi ꝓpone differentiã ex proximo ꝓnun-
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ciato, quã aliquis arcus eclypticæ & </
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<
s
xml:id
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">aſcenſio eius haberi poteſt, eã ex ſupputatione inue
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nies 2. </
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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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">multiplica cum ſinu arcus ꝓpoſiti, productũ in totũ
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diuide ſinum, & </
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>
<
s
xml:id
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xml:space
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">arcus quotientis oſtendet differentiam illã qua arcus eclypticæ a ſcenſio
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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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nem ſuam excedit. </
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>
<
s
xml:id
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xml:space
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<
s
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lb
/>
illud monſtrat aſcenſionem rectã, differentiã hinc adde ad reliquam partem mediã, & </
s
>
<
s
xml:id
="
echoid-s1402
"
xml:space
="
preserve
">ha
<
lb
/>
bebis arcũ eclypticæ quæſitũ. </
s
>
<
s
xml:id
="
echoid-s1403
"
xml:space
="
preserve
">?</
s
>
<
s
xml:id
="
echoid-s1404
"
xml:space
="
preserve
">?Sed ne hic quo deſideres exemplũ, en hoc breuiter
<
lb
/>
tibi: </
s
>
<
s
xml:id
="
echoid-s1405
"
xml:space
="
preserve
">Sit arcus propoſitus 36. </
s
>
<
s
xml:id
="
echoid-s1406
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s1407
"
xml:space
="
preserve
">30. </
s
>
<
s
xml:id
="
echoid-s1408
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s1409
"
xml:space
="
preserve
">ſinus eius rectus 59482. </
s
>
<
s
xml:id
="
echoid-s1410
"
xml:space
="
preserve
">eum multiplica cum ſi-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0036-04
"
xlink:href
="
note-0036-04a
"
xml:space
="
preserve
">EXEM-
<
lb
/>
PLVM
<
lb
/>
E
<
emph
style
="
it
">piſoo
<
unsure
/>
pi.</
emph
>
</
note
>
nu 2. </
s
>
<
s
xml:id
="
echoid-s1411
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s1412
"
xml:space
="
preserve
">28. </
s
>
<
s
xml:id
="
echoid-s1413
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s1414
"
xml:space
="
preserve
">ſcilicet 4303. </
s
>
<
s
xml:id
="
echoid-s1415
"
xml:space
="
preserve
">productũ diuide in totum ſinum, quotiens erit 2576. </
s
>
<
s
xml:id
="
echoid-s1416
"
xml:space
="
preserve
">arcus
<
lb
/>
iſtius eſt differentia quæſita. </
s
>
<
s
xml:id
="
echoid-s1417
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s1418
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s1419
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s1420
"
xml:space
="
preserve
">29. </
s
>
<
s
xml:id
="
echoid-s1421
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s1422
"
xml:space
="
preserve
">differentiã hanc ſi ſubduco ab arcu propo-
<
lb
/>
ſito, remanebunt gra. </
s
>
<
s
xml:id
="
echoid-s1423
"
xml:space
="
preserve
">35. </
s
>
<
s
xml:id
="
echoid-s1424
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s1425
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s1426
"
xml:space
="
preserve
">Mediũ illius eſt 17. </
s
>
<
s
xml:id
="
echoid-s1427
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s1428
"
xml:space
="
preserve
">31. </
s
>
<
s
xml:id
="
echoid-s1429
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s1430
"
xml:space
="
preserve
">ferè, tantus eſt arcus æqua
<
lb
/>
toris. </
s
>
<
s
xml:id
="
echoid-s1431
"
xml:space
="
preserve
">Iam addo differentiam iſtam ad illud medium, & </
s
>
<
s
xml:id
="
echoid-s1432
"
xml:space
="
preserve
">prouenient inde 19. </
s
>
<
s
xml:id
="
echoid-s1433
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s1434
"
xml:space
="
preserve
">arcus il
<
lb
/>
e eclypticæ, quem hoc modo habeo inuentum ſimul cum aſcenſione ſua.</
s
>
<
s
xml:id
="
echoid-s1435
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div39
"
type
="
section
"
level
="
1
"
n
="
24
">
<
head
xml:id
="
echoid-head28
"
xml:space
="
preserve
">PRONVNCIATVM XII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1436
"
xml:space
="
preserve
">Cuiuslibet puncti eclyticæ uel etiam ſtellæ fixæ, cuius enim nota ſit </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
