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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 37, page id 898203430:0229
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=229
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.92
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CADLHATARVM POTENTINM LIMIT. LIB. IL
Ditserentia enim incer rectangulum.
AC B, de quadratum A C est rectaNOU-
IUm C AB, Led huic aeguatuE quadratum
ordinatae CD in Parabola, co quod AB
ponatur eius rectum lacus, erSO CD PO
rest praedictum disterentiam: de hoc de
Singulis Cimilibus ordinacis dec. CMarC COn
cauum huiusmodi Parabola CA LOcUS PFO
Poluae Ordinationis. Ouod erat _c.
PROPOSTTIO Lt
Ocus Ordinatarum potentium differentiam inter re-
ctanculum sub data, C5 parte, C5 quadratum da-
tae, est ad concauum Parabolae, cuius vertex sit Occur-
sus data cum parte reliqua rectum vero sit ipsa data.
GTF daca AB, culus pars quaelibet B C, de puricto A occurlu datae cum
parte reliqua AC, FactO vertice, circa aXem A B cum reCIO laterE.
ip(i AB aequale describatur Parabiola AF D. Dico haNC eNC LOcUM PrO-
pelicum: hoc est ordinatam C P. posse
disterentiam inter rectangulum ABC sub
daca, de parre, de quadracum datae AB.
Disterentia enim inter rectangulum
ABC, ee quadratum AB est reCCaNGU
Ium BAC, led huic aequale est quadra-
cum ordinatae C L, in Parabola (quum
DOLITI (i A B rectum latuS) e18O de
Quadratum C F est ditterenia proposita: de sic de Singulis similicer ordi
nacis eec. Duare concavum huiulimodi Parabolae est Locus propolicae Ordi
nationis. Ouod erat _c.
PR OPOSITLO L.
Ocus Ordinatarum potentium differentiam inter re-
ctanculum sub data, (5 addita, ipsa data maio
re, (5 quadratum datae, est ad concauum Parabola.
cuius vertex sit in addita, distans ab occursu datae cum
addita per distantiam aequalem datae, axis vero sit re-
liquum sermentum additae, e5 rectum latus eidem da
tae sit aequale.