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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 7r, page id 00068200:0013
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Sphaerica; ex Theodosio
Axis est dimmeter Sphaerae circa quam quiescentum
Sphora movetur. Ejus extrema sunt poli. Sed
quia diversi axes et eadem sphaera sumi possunt
hinc proposito aliquo in sphaera circulo potus
ci polus circuli est punctum in superficie sphaerae
aequidistans a centro ci quolibet circuli puncto
Circulummaximumi describere qui minorem B
datum in dato puncto, tangat
per polum circuli ABnempe C, et per A
descu batur circulus maximus lujus quadrans A
Ex d ut poto intervaleo Ad destriptus
circulus maximus erit quaesitus.
per datum punctum inter duos parallalos
aequales maximum circulum describere
qui ut rumque circulam tongat. Poli–
conomunes 2sFCet F. per potui
et punctum s describatur maxiam circulus EGF simer GK (anto GA
BHquadrantes ex polo F intervallo FHdes criduta
paralletus HI, et ex puncto G ut polo intervullo G
describatur muximus circulus DLN quinecessaaio
se cabit parullelum Hi cforte dir cum eim BH
sit quadrans erit et Aiquadrans ergo bi major
quadrante. Ergocirculus DC inciniens infraHi debet
productus cadere in X supra punctum iquare
secabit paralloum Hi in puncto L. per punctum
L et polum E descri batur ciculusmax. FLMC
secans parallelum AB in puncto M. tum exL ut pote
intervallo LM quod est quad rans describatur
maxiam iiculus qui ciculum AB tanget, quia
nin sphaeraduo circuli sibi mutuo occurrant
in eodem puncto cinali maximi per polos eorum
transeuntis, illi setangunt. Unde idem cinulus
et tanget circulum iH. quia maximus circulus
unum paralleorum et aequalium tangens et
alterum tangit. Transire autem per punctum G
ostenditur, quia punctum L distat quadrante a
puncto Garcus autem M L est quadians cum sit
aequilis arcui BH, qui suppositus est quadrans.
quare circulus descriptus ex L. intervallo quadrantis
circulus sphae roi maximus distat a suo
transit per punctum G.
solo linea recta aequali lateri quadrati in
maximo circulo inscritendi. Et contra.
ex interfctione maximorum circulorum
tanquam polo describatur maximus circulus, tunc
arcus illius interceptus inter hos circulos erit mensura
inclinationis circulorum, seu angulus inclinatione
planorum.
rigonometria sphaerica separatum erit tractenda
in ralculi quoddam genus redigenda.