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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 307, page id 845634801:0313
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.87
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# After the first blank line: the recognised lines in reading order, one per line.

aHI
DrCMI.
E E S P O N S V M.
L YDFCRVM. II.
eropoliris duabus magnicudinibus, quarum prima sc habeat ad sCcuH-
lam, licur 1N ad 5N =5 C. f + OC: ex data secunda invenire primam.
Sic data secunda z. Dicoz esse primam de qua quaerieur. Se habere enim rNad GH
SC. F FOC, GcurZ ad 3. enunciara videlicerunitate, vel binario de rN.
Dicoprimam esse3. Se habereenim 1N ad5N - sC F 1QC, Ccur , ad3. enun.
ciaro videlicer rernario de 1N.
Immo dicam primam este = 8. Se habere enim rN ad 5 N = 5 C. F LOC, Scur L
ad3. enunciaro videlicet = de 2N.
Dico denique primam esenumerum symmetrum velalymmetrum quem libuerie.
ACeamens est Adriani ut prima quoque licr N. Tta censeo. Sedluaigi-
cur Problematis Formula id exprimendum tuisse concendo. Simplicissime
enim Problemata proponenda suue.
C A P Y F III.
Problemata duo seria.
Exo itaque dum (eria PFOPOlUCTO, ita HICA PFOBLCMATA CONCEPCrO.
 P R O B E F N A Y.
Propolita serie quatuor lincarum rectarum continue proportionalium:
lata prima e recta xquali eriplo secundae minus quarta, inrenire secuN-
dam.
Sic dara prima Z, D vero differencia qua criplum secundx quartam exce dic. Oportet
inrenire secundam.
Secunda illa esto A. Ferria igieur erir a cendi Ouarra + vou. Quate A3 =  ad. 3
Squabitur D. Omnia duCAnEUT PEr X quadratum.
150X quad. in A3 - A cubo, aequabitur X quadraco in D.
BHLL. ALH. 3N = 1 C, aquabitur solido quod si sub data D es uniracis quadrato.
D R OB E E M A TI.
Propolira Peric lex linearum rectarum continue proporrionalium: data
ima, d recta xquali quincuplo secunda minus quincuplo quartxe plus
exta inrenire secundam.
Sic data prima X. C reco ditterenria qua sexta adjuncta secundae quinruplo superat
incuxlum quarca. Oporcet invenire secundam. Secunda illa esto A. Terciaigicur exie
te
ne
GUarEA A cubus. Ouinea LAnae. quade.. SCxFZ Louioc cubus. Ouare secundum ea Gua prO-
BnIEUE A5 = = v. 5. f a dunde  aequabitur C. Omnia ducantur in X quad. -quadc-
B0X quad. quad. in A5 = X quad. in A cubum s + A quad. cubo, aequacur X quad.
Guadr. in 6.
SitXL. ALN. GN - 5C F 1 QC, aequatur plano. solido quod fet sub data C. P unitaris qua-
paco quadrato.
A e Y F IV
Emendarum Adriani Problema.
e dislimiliformula emendo Adrianicum Problema, a Ila ConcipIo.