# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0097
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0097?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 69, page id 898203430:0097
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=97
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000097.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.89
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

ORDINATIONYM CONIO. LIIITIBVS LIB. I.
inalis L. K, quaeque ordinarae M T equalis octensa a FuIC; Sed permutan.
do rectansulum P B O aequatur quidrato B Q, ergo et rectangulum. 23so huius.
NL. O quadroto HX M aequale exit: his isitur communi addito quadrato
ML, eric rectangulum NI. O cum quadratO M L, sive rnicum quadea-
cum WY M, aequale duobus Limul IE ML, M L, Euc vnico R L: quare de
lemiordinata M K in deseripta EllipE A HI C normali L. H Cuper dacam
A BC requalis est. Ec sic de Singulis normalibus, de semiordinatis, _c.
quapropier descripea F. liplis A LL C L est Limes Ordlinationis propoOluX.
Ouod ctat, _C.
R O B L.
Inc apparet in Semiellipsi oblones A B C cimitem Ordinarionis
 luarum normalium esse ad concauum Mentalis alcerius oblongx FI.
LPIIS, _E CONCeHTiCA A P OC, cuius minor balIS P O aquatuE FectO l
ceri daca Flliplis, maior vero axi minori A C Flsipls datae aequalis est.
P R O POSITIO ZXXX
N FIy perbola. Limes Ordinationis normalium super Se-
etionem ductarum est ad Locum concauum alterius FIy-
verbolae, datae consentricae, ac simul adscriptae, quarum
idem est secundus axis transuerso conineatus; Loci verd
oaistransuersus equatur tertie proporrionalium post distan-
tiam inter focos datae Fyperbolae, (5 ejusdem avein
transuersum.
Sto daca Hyperbola R L B,
 cuius axis cransuertuS sE BD,
aXIS verO coniugatuS A C, cen
trUM F, ac FOCI F, C, _ LIII.
DEa F H certia proporionali post
F P semidictantiam inter FOCOS, e
FB semiaxem cransuertum, e fa
eta E Iaquali ip (I F HI, cum co.
dem cenro F, codemque coniu-
Sato axe AC, cumque cransuer
la lacere LH, per verticem II
adleribatur datae Fyperbolae RL. B
alia Fyperbola NFIO. Dico huius
concauum eRle Limirem Ordina
tionis propolia.
Sic normalis quacunque L. K,
et per L. sic Ordinata NV O exter-
69
MaIS