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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 60, page id 898203430:0088
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=88
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.85
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

Bc
VINCENLI VIVIANI PRO LOCIS.
ricali BC canluersint apcala   e.  L Pate Tau MH
nimum DV, ducatur ad oppotnam seccone rl asus guoa
MUS DR, X per K ad axem VO ordinetur AC.  
ad quadratum D K esC ve reCtARGUIUI L. V I aut L. VH.
Producatu CB ad P, aEgue Cx V HIYPCLBOLI V K contingat re
i S, T, R, axi in O, e Sectiom In O.
30 huius, est ve a fectangulum C D L, Ie H quaetacum C B ad rectangulum
LKS, SCd pErCCALH etC quadracum D I aequale quadrato C B. (Cx
Moduli inveMIIOHC) ergo _ quadratum DR, sive quo SimuI DO, OR,
Propolitiore xrii. ac Detinitione . s lepe ouun L e ex vel.
2 DV
gonalem D P. in L, e _ rete YS iisdem productis OCCUTTCNS
Cta, quae Poductas latetates CatSCs AL, Col lecet in X, X, dc did
Tam quadeatum A G 2d quadeacum AS, vel quadratum D L ad D R
aequalia Cun FCCCaHS Le vet L_S. ETis igitur addico, vel dem
PIO. Pro Le Co SCCSRK, fer quadratm DO
cum quadrato OO, vel cum OIE, siue rnicum D I aequale rectangito
TRS.
Insuper, Totum quadratum BP, vel C B ad torum X. V CA ( ob similia
50. primi Triangula PBF, XVF, ) ve quadeatum BF ad EV, vel (ob tangentem
Eyperbolam AR) ve b quadratum D B ad D V, vel ve quadratum LB
Pars quadrati GB, ad quadeatum Z. V ParEeM quadrati ZV, ergo reli
quum. sive rectangulum C. IP ad reliquum, sive ad rectanoulum ZZ Y
est ve pars ad partem, liue ve quadracum YB ad Z.V, vel ve quadratum
DB ad DV, Sed permutando rectangulum C L P aequale est quadraro
DB Cnam rotum C B quadracum equale est quadrato DL, ex Moduli in
ventione, vel duotus DB, BI, demproque communi quadrato IB, re.
manret rectangulum CFP aequale quaarato D B) ergo, ee rectangulum
XZ Y quadrato D V aequale exic: luperius aurem ostentum fuic quadra
tm DK aequale rectangulo TRS; eroo quadeatum D V 2d D X est ve
rectanculum X L Y ad TRS; sed horum racio componitur ex ratione
XZ ad TR, vel MZ ad MR, vel NV ad NO, _ ex ratione Y Y ad
RS, vel HIZ ad TIR, SIvC L V ad LO, acque ex his rationibus N V ad
NO, de L V ad L O cOmpOnitUE quoque ratio rectanguli L V N act
L. ONI, Ct3 Eeutiratum DV adt DK est ve rectanguium L V N ad LOH.
PRO
Duod erar, _C.
LOn1C.