# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 405, page id 845634801:0411
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# Lines: 54 recognised, mean confidence 0.90
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osa 13
it A1E
L. C
RESPONSORVM. LTBEK VITI.
t sinus eocus ad prosonum lateris primi dari, ita transsinuosa complementi
lateris secundi dati ad prosinum anguli cui latus primum opponitur.
Et sinus eorus adtranssinuosam complementi lateris primi dari, ita prosinus
lateris secundi dati ad prosinum anguli cui latus secundum opponitur.
XI.
Frianguli sphaerici rectansuli
Daco nno elaceribus, quae CirCa FeCFUI aNGIIIUM CONSIIEUNE, aC angulO
Cui lacuS idem OPPONIEUE, dantur reliqua lacera, ac angulus religuus.
Enimverocrie,
VEsinus EOTIS ad prosinum lateris dati, ita prosinus complementi anculi da-
ii ad sinum lateris alterius circa rectum anculum consistentis.
2 Vi sinus tocus ad sinum lateris dati, ita rranssinuosa complementi anguli da-
ei ad sinum lateris angulo recto oppositi.
Denigle,
re sinus totus ad transsinuosam lateris dati, ita sinus complementi anguli
dati ad sinum anculi reliqui.
Fric,
A E F Y E R.
E risinus totus ad prosinum complementi lateris dati, ita prosinus anculi da-
ti ad transsinuosam complementi lateris alterius circa rectum angulum consistentis.
EF,
2 VIsinus EocuS ad eranssinuosam complementi lateris dari, ita sinus anculi da-
ri aderanssinuosam complementilateris ansulo recto opposiri.
Denique,
3 resinus corus ad sinum complementi lateris dati, ita transsinuosa ansuli da-
si ad transsinuosam complementi anculi reliqui.
XII.
Frianguli sphaerici rectanguli
Daconno e lateribus, quae circa angulum rectum Consistunt, et noulo
cui latus alterum circa cundem rectum consistenSOpPONIEE, danEF latC-
rareliqua, ac angulus reliquus.
1
Enimvero erit,
Dt sinas eotuS ad prosinum complementi lateris dari, ita sinus complemenii
ansuli davi ad prosinum complemenii lateris anculo recto oppositi.
2
resinus FoLS ad sinum lateris dari, ita prosinus anguli dari ad prosinum late-
ris alterius circa rectum consistentis.
3
Ac denique;
Vesinus cOtuS ad sinum complementi lateris dati, ita sinus ansuli dati ad si.
num complementi an suli reliqui.
Erit,
A E Y Y F. R.
 V. sinus EOTIS ad prosinum lateris dati, itarranssinuosa anculi dati ad pross-
num lateris angulo recto oppositi.
Ddd2
2
40
Ac denique,