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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 8, page id 845634801:0024
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.91
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

LN AR Y E N A N A E Z FTC
vel, Oporceat avtmo addere mouum. Summa erie Eu udn
Tr Subductionibus, OpOrtCaE amo Subducere Z. R esidua eric = v m B
vel. OpOrteat L vne Subducere Z derocaum. Retidua exix    ao m 
Ir mulciplicationibus, Oporteat m ducere in B. P. Hecta eric A planum.
Vel, Oporteae atum ducere in Z. Efecta exix aotum in 2.
Vel denigue, Oporteat m ducere in Z. aum. F. FC Aa erit =m in Z. quadratum.
En Adplicarionibus, OpOrrear a Cb adplicare ad D, Ducta urraque magnicudinc in B;
Ortira erit 2
Vel, B in C Oporrear adplicareq) =Vmm. Ducta urraque magnirudine in D,
Ortira exie
in
Vel denique, Oportent cum adplicare ad suo. Ocira erit d m livaoum
C A P V F V
Delecibus Zeteticis.
Eleeosperticiunda Forma his Fere lesibus continetur:
Lr Stdelongitudine quaeritur, laceat auremx qualicas velproportio sub
inrolueris eorum quae proponuntur, quaelita lonsitudo Latus esto.
2 Si de planicie quxHItur, laceac aurem aequalicas velproxortio sub inrolu-
eris eorum queprovonuntur, quaelita planicies Ouadratum esto.
3Si de solidicate queritur, lateat aurem ae qualitas rel proportio lubinvo-
IUCTIS COFHI GUX PEOBONUnEUE, quelica Colidicas Cubus esto. Alcenderjoi-
tur sua vi vel descendet per quolcumque oradus comparatarum maonitu-
dinum ca de qua quaerieur.
4 Maenitudines tam datx quam que sx secundum condicionem questio.
ni dictam adlimilancor e comparantor, addendo, subducendo, mulcipli-
cando e diridendo constanti ubigue homogeneorum legc lerrata.
Manifectum estigitur aliquidcandem invencurum irimagnicudini de qua
quaeritur rel sux ad quam adscendet porectari xquale, idque factum om-
mino sub maonicudinibus datis, vel Factum partim lub magnitudinibus datis
_ incerta de qua queritur, aut ejus parodico ad pocestatem gradu.
5 Duodopus, utarte aliqua juretur, simbolo constanti de perpetuo ac be-
ne conspicuo date magnitudines ab incertis queliciriis dictinguanEur, UEPO-
re maonicudines quaelicirias elemento A aliare litera vocali, F, I, O, Y, Y,
datas elementis B, GE, D, aliitre consonis delignando.
6 Facta sub datis omnino magnitudinibus addantur alcerum alceri, vel
subducantur juxta adfectionis corundemnoram, ex in unum Factum coa-
lelcane, quod estohomogeneum comparationis, leu lub daramensura: ee
ipsum unam xequationis parcem tacito.
AqueFacta lub magnicudinibus datis eodemque parodico ad poresta-
temoradu addantur alcerum alceri, vel subducantur juxta adfectionis co-
rundemnotam, ee in unum factum conlelcane; quod esto homogeneum
adfectionis seu lub gradu.
8 Flomogenea sub gradibus poreltatem, quam adticiune rel à qua adf-
CIUnEUE, COMIEANCOT, SE alceram xe qualitatis partem una cum ipla voreltare
faciunto. Acque ideo homogeneum sub daca mensura de porestate a (uo
senere rel ordine desionata enuncietur: pure, si quidem ea pura est ab adfe-
ctione; lin eam comicantur adfectionum homogenea, indicatatum adte-
Ctionis, cum gradus symbolo, una cum ipta, quae cum gradu coesici, adlci-
ciria magnicudine.
9 AEque