# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 76, page id 845634801:0092
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=92
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.90
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

F FE F TCO
E E F F I
Trenite numero eria plana, conticientia quadratum, et
us bina juncta quadratum constiment.
Summacrium planorum, esto quadratum abs A.  B, nempe A
Guad. + Bin A2. + B quadraro. Primum aurem cum secundo, d
ciar a quadrarum. Tercium igicur planum erix B in A2 ] Bquad.
e Secundum cum cerrio Faciae quadratum abs A = B, hoc eA A quad.
=B in A2 = B quad. Secundum igicur planum relinquieur A quad
=B in A 4. Acque adeo primum plarium eric B in A 4. quod adjunctum cerrio platte
Facie B in A6. L B quadraco. Superestigitur ur compolicum istud poltremum planum 
primo ee cerrio, adaequetur quadraco. Sit illud D quadcacum, Fr8G 3 ouad. = v quad X glla
bieur A.
Primum igicur planum simile HED quad. in B quad. 24 = B quad. quad. 24. SCCuN
dum simile D quad. quad. + B quad. quad. 25 = B quad. in D quad. 26. Ferrium (ama
le B quad. in D quad. 12 ] B quad. quad 24.
Sit D 1I, B1. Primum planum fic 2880. Secundum 1X520. Terrium 1476. ex sacisfaciune qua
Stioni. Vr eciam facisfacient omnibus per aliquoe quadrarum divisis. ut poce per 36: exurgunt planta
80, 320, 41.
Sit D6, BI. Primum planum fit 840. Secundum 385. Terrium 456.
ZE TEFTCVU TI.
Invenire numero eria quadraca, aequo distantia intervallo.
Sic primum, A quad. Secundum, A quad. F B in A2 -, B quad. Terrium igicuretili
Aquad.. = B in A 4 i B quad. 2, cujus lacus (I CaLUaTUTD = A: EFD quad. = A id
2, + A quad. aequale A quad. F B in A 4. L B quad. 2. Iraque Bouud;  8 guad. 2. xquab1
Tur A. Ergo lacus primum tc simile D quad. - B quad. 2, larus secundum simile D quad
+ B quad. 2. + Bin D2. Terrium simile D quad. + B quad. 2 + B in D4.
Sit D8, B 1. Fir latus primi quadraii 62, secundi 82, teriii 98. Ipsa vero ab iis quadrata sin
38 +4, 6724. 3604. Et omnibus per aliquos quadrarum divisis, ut. poceper 4. 961, 1681, 2 401 aq
inter se distantia intervallo; illae nempe per 2280; haec per 720.
LEYE TZCV M TTI.
Invenire numero iria aguidistancia plana, ee bina juncta quacracun
COnficienE.
Exponantu per antecedens Zerericum eria quadeata aquo distanria incerva llo, 2C PL
mum idem que minus sic B quadcarum. Secundum B quad. L D plano. Ferrium B qua
dearum F D plano 2. Primum aurem ee secundum aequidistantium crium quae invenien
da proxonuntur planorum Faciane B quad. Primum de cerrium B quad. -F D plan0.
cundum denique de cerrium B quad. + D plano 2. Summa vero erium esto A planul
Fercium icaque erir Aplanum, = B quadraco. Secundum A planum, = B quadral
Dplano. Primum A planum, = B quadraro, = D plano 2. Jeaque aequidistabia
haeceria plana. Primi enim ec secundi differentia est D planum, Sicuri secundi de tetta
Relcacisirur ur haecerium planorum summa quae est A planum 3. = B quad. 3, =D p.
nOZ, aqueruE A plaBO, fF B aund. 3. + D ptno 3. xquale A plano.
Primum isieur planum erie B quad. = D plano
. +
Secundum Bguad. + D olano. T CxrIUM
Ec omnibus quadcuplicaris. Fic primum Cimile B quad. 2 - D planor.
Secundum (imile B quad. 2 ]. D plano 2. Terrium simile B quad. 2- L D pl2nO 6.
incerrallum est D planum + sire incerprimum ex secundum, sive lecundum de cerriut
Pximun