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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 93, page id 845634801:0109
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Ut
FUI
2M
UI
Ouamcue dutemspeciem induie A, xquatio juxta cam eranstorma-
bitur, denora de P ordinabitur; li quxe de A eniunciantur in X quatiOnC prO-
Polica, CacMCCIEneur de nora quam A induit specie
Alceretur enim A per addicionem tingendo A F B ellC L, uE lupra, CII-
de E = B u R. guiu par poceltas creabitur absF = B, GuX PrOPO-
nebacur ab A, et limiles quoque parodicigradus, in quos duCantuE inva-
riandx coefficientes, ad efticienda cadem afFectionum homosenca: omni-
no tacta hujusmodi aequabuntur propolico homoseneo. Expursenturigi.
cur secundum arris prx cepta, e ita demum aequatio de P ordinetur: jam-
que cransmutata eric in noram xequationem de P, id est ipla A producta
cremento Benunciandam, quod Faciendum Cxac.
Duodinreliquis quibulcunque alcerandi modis, quibus semper A valoF
exprinitur, locum habere conspicuum ell.
L OV A L 1O1 V Mt.
Detranmuratione invariata radice.
Crodad secundam prx cautionem attinee, inrariararadice aequationem
Lcransinutare, est oradum aeguationis deprimere vel accollere.
Climacticus autem live ad(census, sire delcensus, regularicer AE vel ir-
regularicer.
Climacticus regularis ad(CensuS AE, guum veraque propolitx aequationis
Pars, distributa ordinate, vel lecus ex artiticis industria, ducitur quadraci-
ce, cubice, e ulterius climactice: descensus contra quum diriditur lib-
quadratice, sub. cubice, e depressius sub. climactice: adscito nempe ad id
lupplemento dato velinquirendo: omnia aurem post ductionem, divilio-
nemre congrue ordinaneuI.
Trregularis aurem adscensus HE, quum omnia quibus proposica equatio
constae, singularia homogenea ducuncur in eundem parodicum sradum,
lire purum, sire affectum a datis congruentibus magnicudinibus, veleciam
eas adtciencem: _ ducta congruam incerprecationem accipiunt, et ordi-
nationem.
Delcensus contra, quum omnia sinsularia illa homogenea applicanEuE,
sire ad radicem quae siciciam, live radicis gradum porectare inferiorem, vel
pure, vel cum adficientibus, adfectilre datis congeneribus magnicudini-
bus:  dirila, adscitonempe ad id lupplemento dato, vel inquirendo, Con-
Gruam interpretationem accipiune, de ordinationem.
Demonstratio vero in quacunque artificiola eransmutandi Forma Ctatim
evidens AE, quoniam quae aequalia lunt lonsicudine, x qualia quoque lunE
simili pocestate, et contra: neque communis dirisor vel mulcipliCaTOL X-
qualicacem immutat relrationem.
Aeque hec ut anobis sesteralirer provolica lunt, ita specialibus indisere
Praeceptis, _ exemplis concedendum est, qux diffundentur passim in Con-
venienciores locos, prour edenda arcificii transmucatorii exegerine speci-
Aina.
A P V F VITI
Sindularia de Plasmare.
atecta a puris, velminus affectis x que altis, auc etiam altiores a deprel-
LBribuS.
Lalma ineAC requationibus incellisitur, quum deducuntur potestates
Ild-