# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0129
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0129?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 101, page id 898203430:0129
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=129
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000129.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 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.
# 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.

ORDIHATTONVM CONHC. LIMETTOVS LIB. I.
vein omnibus Rguris superius conclusum sic, ergo de rectansulum VCT
quacrato L. O aequale erie, si his igitur commune addorur quadeatum
LC, erit rectangulum V C T cum quaciraro L. Ci. vel vnicum quadra
cum L T aequale quadratis simul OL, I C7, Cuure vnico OC: quare OC
Lamus ad Parabolam aequatur semiordinatae L Y vlque ad Eyperbolam
AF, ee sic de singulis, ramis, de Pemiordinatis ad veranque partem axis
OB. Duare convena huiulmodi oppoluacum sectionum, Cunc Limites
Orcinacionis propoliae. Duod erue cc.
2
X his haec necessario sune animaduertenda.
  Primo distanciam, ceneri Limitum a verrice catae Parabolae x
qualem ese differentiae inter iplius lemireccum latus, de ramum verricalem.
Dam IB, quae est distantia a cenero, Limitum l. ad vercicem, B date
Parabolae, est difterenia incer Ol semirectum, et ramum verticalem OB.
2. decunda, quando duta eris0, aittat a Versice Parabolae per itet-
nallum non minus sua semirecto; cunc lemaxis cranshersus Liminum min
nimo ramo ex originc ad Parabolam ducto aequalis est.
l
In prima enim ficura, in qua semirectum L incidic in verricem B, 23. lecundi
ipla OY est a ramus minimus, que lemiordinacae BR, vel semiaxi BF. notra Di.
aequalis demonstrata fuic.
In secunda vero, (iunea O 3 ab origine vlque ad incerlectionem le
miaxis PF inventi Limitis cum Secrione Parabolae AB). Ouum OY alci
cudo rami 03 Cu equalis semirecto Parabole, ex constructione, erit 0 3
minimus b ramus ex origine O, Led ramus 03 equalis est ordinate LF, ibidem;
vique ad Cimitem (ex demonstratis in superiori) cuius ipla LF. si semia
is tranluersus: Quare patet ec.
3. Tercio, quoniam, in Parabola, axis OD trianguli circumseripri
ADC cd maior est, quo masis oriso O distat à verrice B, e le8
mentum OI, in sinculis feuris, Cemper idem est, nempe.
u us ase OD; reliquum scemencum DL)cd liB.
maius exie, qud masis, dista   1. ACB FCNM
bic orieo Oa vercin S ecib 10 
ce B.
(5 125
Rectargulum X1 B o
itaque OID, siue quadeatum medie IF,
hoc est ipla PP. semiaxis cransuersus Limirum cd
maior eric, quo magis datqu oriso a date Pa.
rabole vertice removetur, adeoque ipso.
rum Limitum, leu Sectionum opposi
tarum F. A, OC, lacera semper.
magis augenur: nam ipse
SECLIONCS PONUINEE ~. E 11II t 
qualium laterum. WL
UIMac. In
PoII
D ex 20. lec