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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 87, page id 898203430:0115
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=115
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.86
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# After the first blank line: the recognised lines in reading order, one per line.

BRDIHATIONrM COILC. LIMITIBVS LIB. L.
a L conticulus rectus ete, alque AO Bal CsL. Ct Perpenaiculalis, CTiF
guadracum AO aequale rectanguio sub CO in OF, vel sub dimidio ipsius
C:O, hoc est sub HO in duplum OE, vel, ex constructione, in roctum.
latus Parabolae PFIL: Sed quadraum eriam semiordinatae ex O in Para.
bola cidem rectansulo elt a xequale, ergo eadem AO est ipla semiordi- 2 rr. primi
nata: quare Parabola PFIL. neceslario eran(ir per A, ac similiter per C.
Ouumque GHI, IIO sine aequales, rectae C A, C C Parabolam contin
gene in A, C, sed in ipsis quoque punctis contingune de Circulum, er-
Conic.
30 in jildem tamum A, C; Parabola Circulum cansic b ee in reliquis 10. b 61. prim
ta cadic extra, adeoque ipsi Circulo est circumscripta.
Amplius, ex diamerri rerminis B, D.
2ganur cangentes verricales, quae PaLa-
bolam secent altera in V, altera in L, L.
ee SC quicunque alius FaUS OF, Se per
I Ordinata, quae Parabola OcCurFat in R,
dliametro vero in T.
Ft quoniam ab origine O, cermino in
ceriori axis criansuli circum seriptis ad C ij-
culi peripheriam ducti lune rami OD.
OF, OA, OB _c. atque ab hOrUM FCF.
minis D, F, A, B super B D demistae
sunc perpendiculares D D,. F T, A
BB dC. atque axis B O. sectus est bita-
ria in FP, quadrata iplOrUM OD, OD.
OA, O. B eec. crunc inier se ve sunt c li
de MaX. 8
REx HD, HITs HIO sHIB ac. vel in ParabOla L A H C L, re tan  a 20 primi
quadrata semiordinatarum DI, TR, O A, BV _c. dC Guac d. MMH La- Conic.
mi OA 2d Circulum aequatur quadeato lemiordinatae O A in ParabOla,
quum iplorum latera eadem sinE aC recta OA, ve supra octendimus, et-
S0 _e reliquorum quadrata quadratis reliquarum singula singulis aequalia
crune; hoc est ipsi rami OD, OF, OA, OB ad Circulum ipsis Cemior-
dinatis DI, TR, OA, BV, in Parabola singuli singulis sune aequales.
Concauum ergo huiulmodi Parabolx eA Limes propolux Ordinationis.
Duod erat _C.
Min.
n
aius.
luneatur ractius A E; de quat a s  Tansente C A, de radio
Ine consta eandem habererationem distanciam incer verrices Limitis,
3esi CAI
ee Circuli ad distantiam inter originem, de verticem Limiris, quam
AIa SeC CCa LauS Minimus ad maximum, est enim B EI ad HIO VE e C 10 huius
BO ad ODi Suret eici e (t en s
al
int a