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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 73, page id 845634801:0089
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12.
et
TB E R OV A R F VS
LETETTCVM XV.
IHVEHECNUMCEOEria FrianguLa FECtANGULa, UELOHBIMMM IIID HYPOCCHUNS
ad Toliaum lub balibus, sehrabeat ut quadracusnumerus ad quadratum nu-
MCFUI.
Expoltatur numero criangulum quodvis rectangulum cujus hyporenula Z, basis B
perpendiculum D, ita camen uc balis B dupiu pratet  PetpeHaicHio. Et CMtgatuL
secundum erianoulum abs B dupla XD. Ec B in D 4 adsionetur ba(I. Terrii deni-
que crianguli hyporenula similis esto Facto sub hyporenulisprimi sc secundi. Balis Fa-
eeo sub balibus eorumdem, minus facto sub perpendiculis. Vnde conseguenter perpen-
diculum aequale est factis à balibus in pespenale aete. Soauu Asporentunsdd
5
um
Et se habet solidum sub hyporenusis ad solidum sub basibus, uc quadratum abs 65 ad quadratm
Vel exponatur numerocriangulum rectangulum, cujus trpocenusa Z, balisD, Vel-
pendiculum B, ita eamen uc B praester D basis duplo, ec illud sicprimum. Secundum au-
cem ettingarur abs B e D dupla, ex B in D 4 adlignetur bali. T errii denique hyporenu-
CaSimilis ecto, Facto sub hyporenusisprimi e secundi. Basis, Facto sub batibus, plus Fa-
eto Tub perpendiculis. Iinde perpendiculum aequale tic differencix Factorum a balibus
in perpendicula alcerne.
Solidum sub hyporenulis ad Colidum sub balibus se habebie, et sca calus det ella
. 4. F D cut
13, 12, 5. Terrium 65, 16, 63.
1b5 2. 4
drarum.
Sicprimum crianeulum 13, 5, T2. Secundumerit 61, 60, 12. Fertium 793, 432,665.
cum abs 360
et se habebis solidum sub hyporenusis ad solidum sub basibus, ut quadratum abs 793 adt quadra-