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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 147, page id 898203430:0175
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=175
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 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.
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# After the first blank line: the recognised lines in reading order, one per line.

ORDTNATIONVM OOMIC. LINITIBVSEIB. L.
Ordination ramorum ex origine C, erieque minor a intetuI L B. L C t. C
erum transuerlam it l, CHque ex D ordinata DC, eric ve G F ad 6B.
ia C F. H ad KB, rel ita YE. aet B N (in similibus exiangulis ad verricet c 36. primi
COniE.
per Lvero circa axem IB describatur Fy perbola FIIL opposica ipsi zimi Id
sDTE; nam sic ipla ITTL datae ABC erie adscripea; quumeue DIF
vna ex ouabus oppositis, alteram ex aliis opposicis D F: F concingat in
duobus punctis B, P, reliquae HITL, ABC, predictis opposicae, nunquam I
punctis, in alio puncto sibi ip(Is nOn OCCUTTeHE B.
clalit a
Flis praemonitis: Dico concauum huius Fyperbolae TIII. esse Limitem Conic.
A B C ducibilium.
Productis enim contingentibus DK, F R, ip(IS Occurrant verricales
fecent in II, L, ee in 2.
Ductiam igitur DK Eyperbolam DF. F coml de Lecans diame.
Ordinationis ramorum ex data origine externa C ad datam Hyperbolam
tansentes ad B, E, in M, H, de i L, S, OppOlITaS VeTO HIL, DTF
ad D e. ia coru Guet dc LL aec ebcum quadracum BH, led etiam
ve quadratum DY ad quadracum DN ita est d pars quadrari TL ad par - d 30, pujus;
teri quadrati BN, nempe ita rectangulum XZ5 ad rectangulum MLII.
erxo, ve idem quadratum D Y ad DN, vel ve quadratum GF ad OB,
ita eric reliquum ad reliquum, nempe quadeatum Z F ad BL, Sed per-
ucando quadratum GF. aequale est e quadrato Z. F. (quum Fyperbola.
DTF ponatur simes Ordinationis ramorum ex C ad Hyperbolam DFF)
er g0 ei quadratum C B quadrato B L. aequale eric: siue ramus minimus
C, B ad datam Fyperbolam A B C requalis lemiordinatae BL. vsque ad
concauum descripei Limitis FIIL.
Insuper sic alius quilibee ramUS C C, d Per C Fic Teniordinata OR LL
mirem lCcanS in R, axem in C.
EB, CC ducti sune ex orixine E7 inter focum, e verricem ipsius D E. L
70. luius.
ZHE, NIE B) quare re quadeatum C~F ad GB, vel re quadratum DY
Ec quoniam TY est Modulus ex verricali Hyperbolae DF. F, rami vero