# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0049
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0049?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 21, page id 898203430:0049
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=49
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000049.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.87
# 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.

Ved Lall. M.rMCO. LLBL.
In Ayperbola vero id clarius constar, cum producta A B secet omni-
20 roctum angulum EBD, eo quod ABC, e ipsi ad verticem P L C.
sic lemirectus; quare viterius producta occurrec necestario bali LD.
In Flliph au:em oblons2. Quoniameranluerluu F. B maius CA recto BD
erit angulus EDB maior BF: P, Sed duo Funut EDB, BF D aquanuE
recto, erso EDB lemirecto maior est, sed ABF aequatur lemirecto; ie-
EEO VeTO AQUaTUE E BD, erGO ECS SIUI FDB, DBF, EBA, hoc est
duo simul EDB, ABD duobus rectis maiOreS sUNE; quare, de qui ijs
Iunc deinceps, nempe BDC, C BD Cinul sumpri duobus rectis imino-
ses tun, ac ideo AB cum E D convenie extra lectionem.
In prolata demum. Ouoniam trantuersum B F minus eAt recto BD.
exic angulus BDF minor angulo BF. D, sive minor semirecto, cum ipAi
duo sinul rectum constituane, sed es AB C semirectS, d C B D rCCtIS,
ergo duo simul BDF, ABD sunc minores duobus rectis; ideoque BA
producta convenit cum DF extra sectionem.
In omnibus igieuE reCTA AB, Lemirectum faciens angulum cum axe BC
conenit omnino cum regulatrice FD, ve in Cr: Guod erat ec.
I praostensis, ex occursu C, in quo AB semirectum angulum CM
De sectionis axe consticuit, ducatur in axem productum perpendicu-
laris CF ex eodem abscindens sermentum B IY a vertice sumprum. Et quia in
sequentibus per longicudinem ipstus B Et magnicudines quaedam exhibentur.
acque indazandorum TIMITVM mensura determinatur, in posterum praedi
etam distantiam B HI, 2 surparo vocabulo archirectonica Viruuieno; MO.
DVIVM nuncupabimus, qui, quum ab angulo semirecto orrum ducai, di
CatUr MODVEVS EX SEMIRECIO.
PunctuM autem ZBIseCAnS B E CENTRYM MODVLT EX SEMIRE
CTO vocecur.
C. LL
L. + V +
dsuperiori Popositione facile apparet, Modulum ex Cemire
cto, In Parabola, suo recto laceri aequalem esse; quoniam
Parallelosrammum EID sic quadratum, ex constructione, adeoque MO
dulus HB aequalis est recto lateri BD.
e
2. In Hyperbola vero, Modulum semperminorem ese veroquesipsius
latetum. Nam quum Fi C, FX B (nE aequales, SIEquO HI G mInOT BD
(in triansulo E BD) eric e Modulus HB minor recto latere B D:rled
est quoque minor axe transuerso F B, quum ille huius (IE ParS: quarer
e Semimodulus minor est lemiaxe eransuer (O. N (  A WIO sI
3. In Lilliphautem oblonsa, Modulus maior semper est recto lacere
suX
1
C