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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 402, page id 845634801:0408
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V ARLORYM DE REDVS MIA TH EM AFFCIS
IV
ER E ANGVLL CVTYSCVNOVE PL A N L
Daris angulis, dantur lacera in partibus Canonis.
Enimvero,
Latera sunt similia (inibus, quibus ea subtenduntur.
Alirer,
Latera rrianeuli sunt similia compositis ex prosinibus perrinentibus ad comple-
menta semissium, quibus ea adjacent, anculorum.
Alicer,
Basis trianguli fic similis compositae ex prosinibus semissium, qui ad eam ext-
stunt, angulorum. Crus vero unum quodque simile excessui, quo prosinus perit
nens ad complementum dimidii anculi ad verricem, superat prosinum ipseus ansi.
li ad basin, cui erus idem adjacet, dimidii.
AlicCE,
Crura sunt similia eranssinuosis perrimentibus ad complementa angulorum au
basin, quibus ea adjacent. Basis aurem similis differentiae vel adere eato prosemuita
ad eadem periimenrium complementa; adgrecato videlicet cum uterque aneuld
rum adbasin proponitur aculus; differentia cum alter eorum obtusus.
7
Frianguli cujuscunque plani
Daris lareribus, dantur anguli.
Fnimvero CriE,
Yi duplum rectaneulum sub cruribus ad differentiam inter quadrata cruru
simul juncta es quadrarum basis, ita sinus torus ad sinum complemenci ansult 
verticem.
Et si quidem quadratum basis cedat quadratis crurum simuljunctis, erit an est
lus qui ad verricem existit acurus, si praestet, obcusus. Sed si aequale fuerit, recttm
remmaria duo.
Dato angulo, qui ad verricem existie, dacur summa angulorum ad balin.
Ea enim aequalis est angulo exteriori ad verricem.
II.
Daca Cumma angulorum ad basin, ee differenria corundem, danrur anguli ad bal
Cnguli.
enimvero dimidia disserenria duarum magnicudinum adjecta dimidiae summa earundeus, esa
magnitudinem majorem, ablata minorem.
YI
Frianguli cujulcunque plani.
Datis cruribus ac verticis angulo, dantur anguli ad balin.
Enimvero crit,
rt aderecacum crurum ad differentiam eorundem; ita prosirus ditu su
maangulorum ad basin ad prosinum dimidia differentia.
102
Aliret
V
Sbt
anale
Paq
an
dicur
Secun
Sinum
Cano
dus s
sacom
osiri.