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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 108, page id 898203430:0300
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=300
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.88
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108
VINCENTI VNAMM
Sed duo Cinul quadrata
DE, DF aequancur dimi-
dio quadrari Eorius R F se-
cundae diametri; ergoinda.
ea TIy perbola ABC, qua-
dracum lemidiametri erans-
vertae DB 2d duo limul
DE, DF est; ueidem qua-
dratum D B ad dimidium
quadrari secundae diamerri
L F; vel sumpeis horum
quadruxlis, ur quadeatum corius diametri transversae ad duplum qua-
drari ejusdem P P Conjuracae, vel, ue diamerer eran sversa ad duplum
sui recti lacoris: sed nuper ostensum est, rationem inter quadracum
DB, ee duo simul DF; D P similem else rationi inter quadearum
IA, d duo simul IF, IF, similemque rarioni inter quadrarum L. C.
et duo limot L F, LiF _C. ergo hae omnes rationes lune similes illi
eidem rationi, quae reperitur incer diamerrum eran svexlam daca (Iy-
perbole, ec duplum lui recti laceris. Quod ere demonstrandum.
Ex his Facile Colremus eriam Problema lequens, quod aliqui per-
AEDULM PATAEHRE.
20B.
LRO
u
N dato plano ABCD, in quo sit data linea recta F. F, ut-
cumque posita, es in infinitum uerinque producta; in Bac
vero data sint quoque duo puncta C, II; e proposirum sit in
hoc dato plano LOcum invenire, in quo sincula quadrata
ordinatarum ad ipsam E. F, ad singula accrecata quadrato-
rum partium ejusdem P. F inter data puncta (, I, 8 ordi-
natas incerceprarum, eandem habeant rationem cujustibet da
tae rectae R ad S.
lancia CEHI inter data puncta bifariam secetur in l, a quo in
dato plano asatur lK, urcumque inclinata super P P; lIIMA-
curque recta T dimidium daca rectae S, ac incer has R, V, lic tue-
dia Droporcionalis V; ec uc est V ad R, ita Aoc ICF 2d IL; Factoy:
puncto lcontro, lEF secunda Cemidiameero conjugaca, ee IL temi-
diametro eronlversa, describatur in plano dato AC. per punetum L.
EIrperbola ML. N.
Dico hujus convexum ese Locum quaesitum.
Ouum