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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 93, page id 898203430:0121
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=121
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.86
# 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.

DD L. L.
DRoducatE Hyperbola F B ad alceram axis parcem ordinatas secans
ult l,
Ec quum quadratum B A duplum siE quadrari A C, SIquC quadratu
CF ipli B A aequale, ve primo loco demonstratum fuic, erie etium qua-
dratum FC duplum quadrari C A, e dividendo rectangulum F. A P
xquale erit quadrato AC. seu quadrato BC: led rectangulum P A P ad
NMD est vi a quadracum B C ad BO, de permurando rectargutum 36. tuius.
F A P aequale est quadrato BC, ergo e rectangulum N M O quadrato
BO aequale erit, quibus communi addito quadrato MO, erie quadratum
QD aequale quadeaus simul BO, OM. Eiuc rnico BM, hoc est sermior.
Sinacu ON aequolis camO BM ec.
DOciris iisdem, nempe quod BH sit aequalis recto laterr daia Parabe.
 la AB, ac simul lic crantuersum latus descripex Hyperbolae aequi
latera B L, brCNIUS OILEHCTuE ramum quemcunque BM ad Parabolam.
Nam quadratum BM aequale est quadrato BO vna cum quadratO OM
semiordinatae in Parabola AB, vel b una cum rectangulo OBHL (nam B ex prime
est OB ParabOIX reCtUM LaLS) Sed guadracum O B cum rectangulo Conic.
OBI aequale est rectangulo HIOB, ergo se quadratum BM rectanculo
HIOB aequale eAt, vel quadrato c semiordinatae ON, ob Fyperbolam c 22. primi
aequilateram, quare de lacus lateris hoc est ramus B M LemiordinaiX ON ConIC
aequalis erie; d sumilicer de reliquis _c. Ouod erat etc.
luxe semioraua ON I yperbola aequalem ee.
F s
PInc centrum Limitis, quod est l puncium bilecans Il B, distat ill
 orisine per Lemirectum datx ParabolX.
M
POcandum est, Parabolam esse manimam luo Zimisi inscrioribilium.
quale est BR. regulatrix R S ommino seCaE D L regulatricem Limitis
 Nam, in qualibet Parabola, cu TCc Sacus  
muiuo, ve contui ex vit. primi noctexe Diuinuctonis in V. Apollori.
intra communem COntingenEeM B D R: quare, de Sectiones secant le
L1O.