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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 96, page id 898203430:0124
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=124
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 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.
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# After the first blank line: the recognised lines in reading order, one per line.

ecipca AL.C aC
MacCM SL. L, Hiuentusque Moduius ex
Lacerali sic NL iuxta definicionem xri. huius, cuiuS CenErUM P _C. Dico
s per verricem L, circa exem Y. D descripta sic Fyperbola aequilatera
X L. O, cuius axis cransverTUS SiC MOduluS NL, iplam circumaucto
eriangulo esse inseriptam, e huius concauum esse Limitem Ordinationis
ramorum ab exterra origine D ad datam Parabolam AB C ductorum.
AGAEUE CX F alius quicunque rAIUS P R praecer minimum F B, de COn
cinsenem F A, Uunique ex B, R, ordinalae BG, _ H, vsgue ad HIsper
Bolatm in O, X, producta.
VINCENTIL VIVTANE DE LOCIS SOLIDIS
Sto Parabola ABC, cuius axis BD, vertex B, criangulum circum
Ouoniam igitur N L. Poniur Modulus ex laterati F A datae Parabol
ABC e P illius centrum, eric quadratum semiordinatae D A lemiballs
23. huiuso erianguli circumseripri aequale 2 rectangulo DF P,  d si his adcatIr
COIMUNe GIadTaTM DF, quadrata LmUI AD, DF, GIBC VIICUM L H
vel huic aequale DS, rectanoulo D F P cum quadrato DF, HOC CR vni
b 10. huius co rectansulo PDF, tive rectangulo ipsi aequali b N DL aequale erit,
ded huic aequatur  etiam quodeacum semiordinarae ex D in FIVperBOI2
aequilatera XI. O. ergo a quadratum PA quadraro ejuldem lemiordina
tae ex D eric aequale, ideoque Fyperbola cransut omnino per S, Pariter.
que ad aliam parrem per. P; sed rectansulum D F P aequale est d qu
drato Lemiaxis EFANIHerH PL, erDO rectae FS; H T EperbOlam contin-
37. primi gUnE e ad S, F; ac propterea Tper BOIa Z L. O circlunaucto eriangule
SET eA inscripta, et raimi cangertes P As P. C aequales sunt semiordi
natis DS, DP in Hyperbola.
Insuver, quadratA rAMOrUIM E A, F B, F R ad Parapolam sun inter
Eux. huius. SC ve FreCtangUIA NDL, NBL, NKL, vel (Ob Ayperbolam) ve 8 qua
1. erimi at DS, BO, HE X lemiordinatarum in ipla Hyperbola, sed quadra
cum vnius rami F A xequale est quacrato lemiordinatae DS, in Cyper-
bola, erso e reliqui rami P. B, PR ad Parabolam reliquis semiordina
iis BO. K _, in Hyperbolas linguli cingulis xquales erunt dc. Oudre
concauum humlmodi Hyperbolae X B L. Y est Limes propolure Oidina.
tionis.
Tandem, centrum P huius Zimitis constat distare ab orioine F. per lC.
2g. huius.  eua Parabolx, ee ab huius vertice B per PB (quae aequa
TuI
aanum. 5.
C 21. PI
Conic.
a 19. DuII
ad num. 
COnC.
onic.
cps