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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 372, page id 845634801:0378
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VARLOLrM DE REBVS MA YHEMA ZTCFS
Kadonmor Adtriancula rectancula, quorum anculi acuri se habent inter
se, ut numerus ad numerum.
Si fuerine duo criangula rectangula, quorum angulus acurus primi AE
Cub. mulciplus ad angulum acurum secundi.
Lacera Secundi, recipiunthanc similicudinem.
Fyporenula sic limilis porestari condicionarix hypocenulx primi: ell
aurem porestas conditionaria, guxe sequitur gradum proporcionis mule.
Pla; quadratum videlicet in ratione dupla; cubus in cripla; quadrato. qua-
dratum in quadrupla; quadraco. cubus in quincupla, _ eo in infinitus
progrestu.
Ad limilicudinem autem laterU CIrCA RECtUI HyPOFEHUIX CONGTUCN
tium, efficitur à bale ex perpendiculo primi ur binomiaradice, pocestasx
que alta, ex lingularia Facta homosenea distribuuntur in duas parres suc
cestire, urrobique primum adtirmata, deinde negata, ee harum prima pat
ti limilis Ac balis secundi, perpendiculum reliquae.
Sic in ratione duplaihy porenula se cundi fc similis quadrato hypocenu
Ex primi, seu aliter, adgresato quadrarorum à laceribus circa rectum; ba
Ss difterentixe; perpendiculum duplo sub prae dictis lateribus rectansulo.
In ratione cripla; hyporenula secundi Ar limilis cubo hyporenulae prima
balis cubo balis primi, minus solido cer sub quadrato perpendiculi prin
 bale ejuldem; perpendiculum limile solido cer sub perpendiculo printa
_ quadrato balis ejuldem, minus cubo perpendiculi.
In ratione quadrupla; hypocenula secundi Ac similis quadrato. quadta
cohrporenula primi; balis quadrato. quadraco balisprimi, minus planc
plano sexies sub quadrato perpendiculi primi e quadraro balis ejuldem
plus quadrato quadraro perpendiculi; perpendiculum limile plano. platte
quater sub perpendiculo primi ec cubo balis ejusdem, minus plano. plalta
quater sub cubo perpendiculi primi e base ejuldem.
In ratione quinciplas hyporenusa secundi sicsimilis quadrato. cubohs
Porenulae primis balis similis quadrato. cubo balisprimi, minus plano. l0
do decies tub cuboperpendiculi primi ec quadrato balis ejusdem, plus pl
no solido quinquies sub perpendiculo primi, ee quadrato. quadrato bat
ejuldem; perpendiculum plano Colido quinquies sub quadtraco- quadra
perpendiculi primi ex base ejuldem, minus plano. Colido decies sub qua
drato perpendiculi ex cubo balis ejuldem, plus quadraro. cubo balis
Susdem.
Trianguli rectanguli de angulo acuco enunciandi proponacur hyporenul2 Z, b alisL
perpendiculum B. Fr Oporreac consticuere rriangula rectangula an suli dupli, eripli, qua
drupli, quincupli, _c.
Adcriangulum anguli dupli fichypocenuta similis Z quadraro. Balis D quadtaco, n 1
nus B quadcaco. Lelpenere DV2.
ad eriangulum anguli eripli schyporenula MiS Z. cubo. Balis D cubo =B quad5. 1
B3. Perpendiculum B in D quad. 3 = B cub0.
Kacriangulum anguli quadruxli Erhyporenula LMIIS L. G1a C. - G1ac. Ba(IS D quac 
quad. = B quadr. in D quadr. 6,  B quadr.. quadr. Perpendiculum B in D cub. 4.
Bcubo in D 4
Ad criangulum anguli quincux li se hyxorenuta similis Z. quad. - cubo. Balis D quact
cubo,
L  L O a L M a L.
quac
SiF
deur
quis
EDeF
que
vn
1
dtur
deum
alisq