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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 406, page id 845634801:0412
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406
VARZORYM DE REDVS MIAZHEM A TTCTS
EF,
2. Vt sinus eotuS ad transsinuosam complementi lateris dari, ita prosinus com
plementi anguli dari ad prosinum complementi lateris alserius circa rectum consi
stentis.
Acdenique,
3 VIsnuS EOIIS ad transsinuosam lateris dati, ita transinuosa complementi an-
suli dati ad transsinuosam anguli reliqui.
XTII.
Frianguli spharici rectanguli
EnimvetoctE.
Daris angulis, dantux latera.
 VE sinus EOTIS ad prosinum complementi anculi primi obliqui dati, ita prosi
pus complementi anculi secundi obliqui dari ad sinum complementi lateris ansit
lo recto oppositi.
EF,
2 VIsnuS TOtUS ad transsinuosam complementi anguli primi; ita sinus com
plementi anguli secundi ad sinum complemenri lateris ansulo secundo oxpositt.
Ac denique,
3 VE sinUS EOTUS ad sinum complementi anguli primi, ita transsinuosa comple-
menti anguli secundi ad sinum complementi lateris anculo primo oppositt.
CxIE,
A Z E Y E R
risinus torus ad prosinum anculiprimi, ita prosinusanculi secundi adtrans.
sinuosam lateris anculo recto oppositi.
2 Vesimustorus ad sinum anguliprimi, itatranssinuosa anguli secundi ad trans
sinuosam lateris angulo secundo opposisi.
Ac denique;
3 re sinus corus ad transinuosam ansuli primi, ita sinus ansuli secunat du
transsinuosam lateris anculo primo oppositi.
XIV
Tpodurichor.
Data duorum maximorum in sphaera circulorum inclinatione, quorus olis secalla
a cercio per alcerius polos, arguitur quanta lic maxima differenria luarum à nodo l0l
cudinum.
EC ConcCA. Ex maxima differencia longicudinum a nodo, acguitur quanca lic circulo
rum inclinario.
Enimvero est,
resinus cocus plus sinu complemenei inelinacionis ad sinum cocum minus sinu complementimeta
nationis, ita sinus rorus ad sinum differentia maxima.
EF,
Ve sinus coruS plus sinu maximae differencia ad sinum eorum minus sinu maximae dissereniia, ita
sinus eorus ad sinum complemenei inclinationis.
Est auremlimes velocitacis in nodo, Uediocricaris in pancto maximae differenria, Z ardicaris in aqua
distancia a nodo.
in
ater
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comp
osit
Eur
comp
rum
Y
bus
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