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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 100, page id 898203430:0128
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=128
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.87
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VIVCENTI VIVTANT DE LOCIS SOLWIS
100
guacra um Bl. alobo at Guaettulso l 1, lB vet vineo fuatale
BE, vel quadrato recta BO (quam ipsi B F sequalem nuper demonstra
uimus) aequale crit, ergo, de ramus verticalis OB ad Parabolam equalis
elt seoniordina ae BR vsque ad Hy verbolam AF.
Sic candem quicunque alius ramus OC ex origine O in singulis fguris.
et per C Ordinetur recta, qua lacerales cansentes secet in Z, B, de Opposi.
tas Sectiones in T, V, Parabolam in 6, R, & axem in L.
Ec quoniam in omnibus figuris recta AD, C D, oppositas contingun
ad A, C; atque recta A C imngii contactus, cui aequidistant rectae RS,
TV, qua Sectiones, e contingentes secant, eric rectangulum S YR ad
ex 2D. Ter.. VZT, ve a quadratum tansentis Y A ad quadratum tangentis A L.
LbnIC.
eis COD1C.
ZB L ad _ CL sic ve quactatum L A ad AL. cum auo  altell
dentia, nempe rectangulum STR cum rectangulo Z B Y, nempe rnicum
recansuium S B R, sive quadratum B R, ad duo simul consequentia,
nempe ad rectangulum VZ T cum rectangulo Re C,Z, nempe ad vnicum.
reccangulum VGT, ve quadratum Y A ad quadratm AZ, vel ve qua
dratum BO ad quactramm OI; Sed anccedentia BR, BO sune aequalid
VEin
Porro, quia AX, BP, contingunt Parabolam ae 1, B3 alHC 
iplaum, vE Duta ipAI DY, ducta est aequidistans Z D Parabolam lecans
in C, HE, X tansences in Z D eric quadratum B Y, siuc rectangulum.
Bex 16. ter. XB Y ad rectangulum R  des a ceccan a reac qua
dratum Y A ad idem quadratum AZ.
Alum itaque cam rectansulum SX R, ad VZT, quam rectangulum