Full text: Clavius, Christoph: Christophori[i] Clavii Bambergensis Ex Societate Iesv In Sphaeram Ioannis De Sacro Bosco Commentarivs

Comment. in ij. Cap. Sphæræ

min. 23. complectetur, hoc eſt, milliaria Italica 89823/24. tribuendo ſingulis
gradibus, milliaria 62 1/2 & ſingulis minutis milliar. 1 1/24.

R vrsvs inueſtiganda ſit diſtantia itineraria inter Romam, & Malachã
in aurea Cherſoneſo, cuius longitudo habeat gr. 161. min. o. latitudo aũt borea
lis quoq;, ſicut, & latitudo Romæ borealis eſt, gr. 2. mi. 2. Fiat, ut 10000000000.
quadratum ſinus totius, ad 7434662088. rectangulũ contẽtũ ſub 74392 ſinu cõ
plemẽti latitudinis Romæ, quę cõtinet gr. 41. min. 56. & ſub 99939 ſinu cõple
mẽti latitudinis Malachæ, quæ habet gr. 2. min. o. ita 156640. ſinus uerſus diffe
rentiæ longitudinũ, quæ cõplectitur gr. 124. min. 30. ad ahud, inuenietur\'q; fere
hie numerus 116356 a quo, q\~m maior eſt, quàm 76679. ſinus cõplementi diſſe
rẽtiæ latitudinũ locorũ, quę continet gr. 30. min 55. auferemus 76679. ſinũ cõ
plementi differentiæ latitudinum locorũ, remanebitque ſinus 39777 cuius ar-
cus gr. 23. min. 26. additus quadrãti efficit gr. 113. min. 26. hoc eſt, milliaria Ita
lica 7089.7/11. pro diſtantia inter Romam, & Malachã in aurea Cherſoneſo.

S it quoq, inquirendum ſpatiũ itinerariũ inter Romã, & Mexicũ in India
occidentali, cuius Longitudinẽ Ioſephus Moletius in tabula noua Hiſpaniæ no
uæ in commentarijs in Geographiã Ptolemæi ponit ferme gr. 272. min. 30. la-
titudinem uero borealem grad. 20. min. 20. (ut & Romæ latitudo borealis eſt)
quãuis alij aliã eius longitudinẽ ac latitudinem faciant Fiat, vt 10000000000.
ad 6975589059. rectangulũ contentũ ſub 74392. ſinu complementi latitudinis
Romæ, quæ, eff gr. 41. min. 56. & ſub 93768 ſinu cõplementi latitudinis Mexi
cana, quæ poſita eſt gr. 20. min. 20. ita 158778. ſinus uerſus defferentiæ longitu
dinũ (quæ eſt gr. 234. min. o. quæ quoniam ſemicirculũ ſuperat, detrahenda eſt
ex circulo integro, vt remaneant gr. 126. min. o. pro differentia longitudinũ bre
uiori, nempe breuior diſtantia inter meridianos locorũ propoſitorum cuius ſi-
nus verſus eſt 158778.) ad aliud, inuenietur\'q; hic ꝓpemodũ numerus 110757
a quo quoniam maior eſt, quam 92977. ſinus complementi differentiæ latitu-
dinum locorum, quæ gr. 21. min. 36. complectitur, auferemus 92977. ſinũ com
plementi differentię lacitudinum, remanebit\'q; ſinus 17780. cuius arcus gr. 10.
min. 15. quaſi, additus quadratis conficit gra. 100. min. 15. id eſt, milliaria Itali
ca 6265. 5/8. pro diſtantia inter Romam, & Mexicum in India occidentali.

P ostremo proponatur exploranda diſtantia itineraria inter Romam,
& Cuſchum Metropolim prouinciæ Perù in occidentali India nobiliſſimæ, ac
ditiſſimæ, cuius longitudinem loſephus Moletius in tabula noua terræ nouę ſta
tuit gr. 305. min. 40. fere, latitu dine autẽ auſtralem gr. 18. min. 40. fere, quamuis
alij ſcriptores aliter ſentiant. Et quia Roma uergit in Boream, & Cuſchum in
Auſtrum ſumens, locũ borealẽ Cuſcho oppoſitũ per diametrum, qui nimirum
latitu dinẽ habeat borealẽ gr. 18. min. 40. Deinde differentiã longitudinum Ro-
mę, & Cuſchi, quæ eſt gr. 269. mi. 10. ſuperat\'q; ſemicirculum, auferemus ex toto
crculo relinquetur\'q; differentia longitudinũ breuior, hoc eſt breuior diſt antia
inter Meridianos datorum locorum, gr 80. min. 50. Hanc rurſus ex ſemicir culo
ſubtrahemus, ut habeamus differentiam longitudinalẽ inter Romã, & locum il
lum Cuſcho oppoſitum, id eſt, diſtantiã inter Meridianũ Romæ, & Meridianũ
dicti loci, gr. 99 min. 10. His poſitis, ſi fiat, ut 10000000000. quadratũ ſinus to
tius ad 7047823688. rectangulum cõtentum ſub 74392. ſinu cõplemẽti latitu
dinis Romæ, quæ eſt gr. 41. mi. 56. & ſub 94739. ſinu complemẽti latitudinis lo
ci, qui Cuſcho opponitur, quæ gr. 18. min. 40. continet, ita 115030. ſinus uerſus
differentię longitudinum, (quam diximus comprehendere grad. 99. min. 10.) ad

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