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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 546, page id 845634801:0554
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LL A N CFS CF d S CAOOF E H
versa Marhesis non nisi doctrina quamasis sit dicenda: adeo ut omne id, quisquid ibidem solvendum
proponitur (ut supra dictum fuit) non nisi in quanticarum equalicare vel proportione aliqua expli
canda, consistat. Ouod etiam summi ingenii Vir Renacus des cartes,  sseraone de thoubse
se recenda rationis, seribit se circa MatheMaticas Scientias in genere animadvercisse, nimirum, ettams
illae cirba diversa objecta vessetat. M hoc tamen convenire omnes, quod nihil aliud examiment quan
relationes sive proportiones quasdam, quae in iis reperiuntur.
In N OZ AS PRIORFS.
Duae hio majoris illustracionis ergo interserenda existimavit vir doctissimus P. Marinus Mereen.
PaC. 27. Siclacus unum A, alcerum B. Dico A quad.,  A in B2, F B quad., aequari
Ibidem. Sie lacus unum A, alEetum B. DicO A cubUM, = A guadr. in BZ, J A in B
quad. 3, F B cubO, aeguari A F B cubO. Ex opere mulciplicationis A quad., F A in B 2,
ursus circa sinem. Sic lacus unum A, alcerum B. Dico A quadr. quacc. , L A cubo in
B4, F A quadr. in B quadr. 6. F A in B cubum 4, + B quadr. - quad., aequari A F B
quad. - quadcaro. Fx opere mulciplicarionis Acubis F A quad. in B3, F A in B quad. 3.
Pag. 18. Siclarus unum A, alterum B. Dico A quadraco cubum, L A quad. quadrato
in B5, - L A cubo in B quadearum 1O, + A quadcaco in B cubum 10, i A in B quade.
quadratum 5, I B quadrato cubo, aequari A. F B quadcaco. cubo. Fx opere mulcipli-
carionis A quadraco quadrari, + secubo in B 4 Y A quad. in B quadratum 6, + A in
ibidem. Sic latus unum A, alcerum B. Dico A cubo. cubum, L A quad. - cubo in B6,
L A quadr. - quad. in B quadr. 25, Y A cubo in B cubum 20, + A quadc. in Bquadc.
quad. 15, = A in B quad. cubum 6, = B cubo. cubo, aequari A. ; B cubo. cubO. F K OBC-
remulciplicarionis A quad. cubi, F A quad. quad. in B5, == A cubo in B quad. 10, +
A quad. in B cubum 10, -+ A in B quad.. quad. 5, F B quad. . cubo, per A- + B.
x proporrionalia denique conrinue seprem Colido. Colida,
nus, sane quae sequuntur.
A F B quadrato. Ex opere mulciplicationis A Y B peF A Y B.
B quad., Per A - = B
+ BCubo, per A. j. B
Bcubum 4, = B quad. quadearo, per A F B.
Pa8. 19. Ex proporcionalia sex plano Colida.
A quadraro. cubus.
A quadcaro. quadratum in B.
A clibus in B quadrarum.
A quadeacum in B cubum.
Am B quadraco. quadracum.
B quadraro. cubus.
Acubo- cubus.
Gladraro cubus in B.
Acubus in B cubum.
A quadrarum in B quadrato. quadratum.
A quadraco- quadearum in B quadratum.
A in B quadrato. cubum.
B cubo cubus.
Ex AC deinceps.
Ea8. 24. Sic lacus unum A, alcerum B, coesticte us Mblaceralis lonsicudo D. Dico A
quad., F A in B2, -= B quadE., + D in A, F D in B, aequari A + B quadraco, + DII
A. + B. F X OPCTC LULIPHICACIOMIS A. f. B pet A +. B. FD.
Aliud L H L O R E M A.
Si ob eidem binomis radice componantur duo quadrara, unum purui, alcerum ad-
lirmace adfectum: Angularia plana, quae compolicio adfecta addic compolion pu
Ea  TUNE
Planum a lacere primo in coefticiencem lonoiudinem.
Planum d lacere lecunco n eateM iplam coelliciencem loneillainem. Ex co1
latione ucriulque luppoIOnIS.
P48. 23