Apian, Petrus
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Instrvmentvm Sinvvm, sev primi mobilis
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GENVINVS VSVS
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ctum diuide in ſinumtotum, arcus quotientis duplicatus oſtendet tibi diſtantiã locorum
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quæſitã. </
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<
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<
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<
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<
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<
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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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<
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<
s
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xml:space
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">iſtæ ergo duæ latitudines ſunt inter ſe æquales, ſiqui
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dem 2. </
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<
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eſt 41. </
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<
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quæ eſt 3. </
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<
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<
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<
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quotiente 3826. </
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<
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<
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illa diſtantia Auguſtæ & </
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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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<
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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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">Principio hic tibi utriuſ loci nomen ꝓpone, eorum´ gradus lõgitudinis ſimul & </
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titudinis, quære differentiã lõgitudinum & </
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<
s
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<
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titudinis maioris in ſinũ differentiæ lõgitudinis, ꝓductũ diuide in totum ſinum, arcus q̊ti
<
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entis dicet̃ inuentũ primũ. </
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<
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nà cũ ſinu latitudinis minoris, minorẽ exijs duco in ſinũ totũ, ꝓductum etiam diuide in
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maiorem, & </
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<
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dũ. </
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<
s
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xml:space
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diuide, arcum q̊tientis ſubtrahe à 90. </
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<
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<
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plum in hacre tibi tale dabimus. </
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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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ſeꝗtur, cupio ſcire diſtantiã eius à Hieruſalem, quæ eſt in terra ſancta, ſic ergo propono.</
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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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<
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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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<
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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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<
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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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<
s
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<
s
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<
s
xml:id
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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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<
s
xml:id
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>
<
s
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</
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<
p
>
<
s
xml:id
="
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xml:space
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">Hic iã duco ſinũ cõplementi latitudinis minoris. </
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>
<
s
xml:id
="
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">ſ. </
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>
<
s
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="
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>
<
s
xml:id
="
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xml:space
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">in ſinũ differentiæ lõgitud. </
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>
<
s
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</
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<
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"
xml:space
="
preserve
">60853. </
s
>
<
s
xml:id
="
echoid-s5447
"
xml:space
="
preserve
">poſt diuiſionẽ totius ſinus, ꝓueniunt in q̊tiente 51792. </
s
>
<
s
xml:id
="
echoid-s5448
"
xml:space
="
preserve
">arcus eſt 31. </
s
>
<
s
xml:id
="
echoid-s5449
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5450
"
xml:space
="
preserve
">12. </
s
>
<
s
xml:id
="
echoid-s5451
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5452
"
xml:space
="
preserve
">
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s5453
"
xml:space
="
preserve
">dicet̃ inuentũ primũ. </
s
>
<
s
xml:id
="
echoid-s5454
"
xml:space
="
preserve
">Cõplementũ ipſius eſt 58. </
s
>
<
s
xml:id
="
echoid-s5455
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5456
"
xml:space
="
preserve
">48. </
s
>
<
s
xml:id
="
echoid-s5457
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5458
"
xml:space
="
preserve
">ſinus autẽ 85536. </
s
>
<
s
xml:id
="
echoid-s5459
"
xml:space
="
preserve
">erit diui
<
lb
/>
ſor. </
s
>
<
s
xml:id
="
echoid-s5460
"
xml:space
="
preserve
">Iam porrò ſinũ latitudinis minoris 52497. </
s
>
<
s
xml:id
="
echoid-s5461
"
xml:space
="
preserve
">duco in ſinũ totũ, ꝓductũ diuido in diui-
<
lb
/>
ſorem iã ſeruatũ, & </
s
>
<
s
xml:id
="
echoid-s5462
"
xml:space
="
preserve
">ꝓueniunt in quotiente 61374. </
s
>
<
s
xml:id
="
echoid-s5463
"
xml:space
="
preserve
">arcũ illo℞. </
s
>
<
s
xml:id
="
echoid-s5464
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s5465
"
xml:space
="
preserve
">37. </
s
>
<
s
xml:id
="
echoid-s5466
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5467
"
xml:space
="
preserve
">52. </
s
>
<
s
xml:id
="
echoid-s5468
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5469
"
xml:space
="
preserve
">ſubtraho à
<
lb
/>
latitudine maiori, & </
s
>
<
s
xml:id
="
echoid-s5470
"
xml:space
="
preserve
">remanet inuentũ ſecundũ. </
s
>
<
s
xml:id
="
echoid-s5471
"
xml:space
="
preserve
">Ad extremũ adhuc duco ſinus cõplemen
<
lb
/>
to℞ utriuſ inuenti. </
s
>
<
s
xml:id
="
echoid-s5472
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s5473
"
xml:space
="
preserve
">98336. </
s
>
<
s
xml:id
="
echoid-s5474
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s5475
"
xml:space
="
preserve
">85536. </
s
>
<
s
xml:id
="
echoid-s5476
"
xml:space
="
preserve
">in ſeipſos, ꝓductũ diuido in ſinũ ꝑfectũ & </
s
>
<
s
xml:id
="
echoid-s5477
"
xml:space
="
preserve
">ꝓueni
<
lb
/>
ent 84113. </
s
>
<
s
xml:id
="
echoid-s5478
"
xml:space
="
preserve
">Arcus ipſe. </
s
>
<
s
xml:id
="
echoid-s5479
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s5480
"
xml:space
="
preserve
">57. </
s
>
<
s
xml:id
="
echoid-s5481
"
xml:space
="
preserve
">gr. </
s
>
<
s
xml:id
="
echoid-s5482
"
xml:space
="
preserve
">16. </
s
>
<
s
xml:id
="
echoid-s5483
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5484
"
xml:space
="
preserve
">à 90. </
s
>
<
s
xml:id
="
echoid-s5485
"
xml:space
="
preserve
">ſubtractus, relinꝗt 32. </
s
>
<
s
xml:id
="
echoid-s5486
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s5487
"
xml:space
="
preserve
">44. </
s
>
<
s
xml:id
="
echoid-s5488
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s5489
"
xml:space
="
preserve
">uerã diſtan
<
lb
/>
tiam Auguſtæ à Hieroſolymis, q̊ ad ipſam directã ꝓfectionẽ, citra montium, uallium & </
s
>
<
s
xml:id
="
echoid-s5490
"
xml:space
="
preserve
">
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0070-04
"
xlink:href
="
note-0070-04a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Diſtantia</
emph
>
<
lb
/>
<
emph
style
="
it
">Auguſtæ à</
emph
>
<
lb
/>
<
emph
style
="
it
">Hicroſoly-</
emph
>
<
lb
/>
<
emph
style
="
it
">miseſt 491.</
emph
>
<
lb
/>
<
emph
style
="
it
">miliarium</
emph
>
<
lb
/>
<
emph
style
="
it
">Germanico</
emph
>
<
lb
/>
<
emph
style
="
it
">rum.</
emph
>
</
note
>
aqua℞ diuerticula, at ea diſtantia eſt 491. </
s
>
<
s
xml:id
="
echoid-s5491
"
xml:space
="
preserve
">miliarium Germanico℞. </
s
>
<
s
xml:id
="
echoid-s5492
"
xml:space
="
preserve
">Quod ſi autem cõti
<
lb
/>
gerit alte℞ locũ habere latitudinẽ Borealẽ, alte℞ Auſtralẽ, tunc duces ſinum cõplemen-
<
lb
/>
ti latitudinis ſeptentrionalis in ſinum differentiæ lõgitudinis, ꝓductum diuides in totũ, & </
s
>
<
s
xml:id
="
echoid-s5493
"
xml:space
="
preserve
">
<
lb
/>
q̊tiens dabit inuentum primum, eius ſinum cõplementi tibi ꝓpone, ſimul´ ſinum latitu-
<
lb
/>
dinis Borealis, minorem duc in totum, ꝓductum diuide in maiorem, arcum quotiẽtis ad
<
lb
/>
de ad latitudinem meridionalem, & </
s
>
<
s
xml:id
="
echoid-s5494
"
xml:space
="
preserve
">habebis inuentum ſecundum. </
s
>
<
s
xml:id
="
echoid-s5495
"
xml:space
="
preserve
">Poſtea cum illis duo-
<
lb
/>
bus inuentis operare ſicut ſupra docuimus. </
s
>
<
s
xml:id
="
echoid-s5496
"
xml:space
="
preserve
">Exemplum tale inuenies pronunciato 99.</
s
>
<
s
xml:id
="
echoid-s5497
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div164
"
type
="
section
"
level
="
1
"
n
="
86
">
<
head
xml:id
="
echoid-head90
"
xml:space
="
preserve
">PRONVNCIATVM LXXIIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s5498
"
xml:space
="
preserve
">Duobus locis in gradibus lõgitudinis & </
s
>
<
s
xml:id
="
echoid-s5499
"
xml:space
="
preserve
">latitudinis cognitis, i quã mũdi ꝑtẽ
<
lb
/>
alterab altero declinet (angulũ hũc poſitiõis alio noĩe dicimus) inueſtigare.</
s
>
<
s
xml:id
="
echoid-s5500
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s5501
"
xml:space
="
preserve
">Quære ex ſuꝑiori ꝓnunc. </
s
>
<
s
xml:id
="
echoid-s5502
"
xml:space
="
preserve
">diſtantiã illo℞ duo℞ loco℞, & </
s
>
<
s
xml:id
="
echoid-s5503
"
xml:space
="
preserve
">duc ſinum cõplementi latitu-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0070-05
"
xlink:href
="
note-0070-05a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Per latera</
emph
>
<
lb
/>
<
emph
style
="
it
">lem obſer-</
emph
>
<
lb
/>
<
emph
style
="
it
">uationẽ idẽ</
emph
>
<
lb
/>
<
emph
style
="
it
">reperies.</
emph
>
<
lb
/>
<
emph
style
="
it
">Illud ucro</
emph
>
<
lb
/>
<
emph
style
="
it
">ꝑ arealem.</
emph
>
</
note
>
dinis minoris in ſinũ differentiæ lõgitudinis, ꝓductũ diuide in ſinũ totum, & </
s
>
<
s
xml:id
="
echoid-s5504
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s5505
"
xml:space
="
preserve
">quotientẽ
<
lb
/>
ꝓpone tibi unà cũ ſſnu diſtantiæ loco℞, minorẽ duc in totum, ꝓductum diuide in maio-
<
lb
/>
rem, & </
s
>
<
s
xml:id
="
echoid-s5506
"
xml:space
="
preserve
">arcus q̊tientis monſtrabit angulũ poſitionis, puta quãtum locus ille à meridie uer
<
lb
/>
ſus ortũ uel uerſus occaſum, ſimiliter à ſeptentrione uerſus orientem aut occidentem </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
