# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0157
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0157?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 129, page id 898203430:0157
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=157
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000157.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 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.

ORDINATIONVM CONTC. LIMIMIBVS LIB. I.
229
Tandem eAt D HI ad HI C ve D B ad BF, vel re cransuersum darae
Ayperbola ad suum rectum, ergo, a DHI ad HIB iphHC aequalem
erit re idem cransuersum ad rectum, Guare componendo, per Conver-
sionem rationis, de convertendo DH ad D B, vel HC ad Bsi, vel 1IB
ad BF, nempe transuerlum Limitis ad suum rectum exie ve eranluextum
dacae 2d lummam eiuldem trantuersi cum recto. Quod erac rluno de-
monstrandum.
Vum huver dnstratum siE DH ad FLB este ve crantuersum daa
ae Fectu, Combonendo DB ad B PI eric ve summa laterum ac
n
rectum; a sumpris illarum subduplis, erie F. B ad BP, nem-
De distantia inter centrum datae Eyperbolae, de originem ad distanciam
inter originem, e cencrum Limitis re summa laterum dacx ad suum re-
ctum.
ronstat, ex demonstrarione superioris Propolicionis, quodcunque
Segmenium ordinatarum ad axem B N a regulatricibus datx Hyper-
Bolae, _ invenei zimitis comprehensum, quale clt OL, suo axis legmen
to B N aequale esse.
PROPOSITIO LAa
N. Lyperbola. Limes Ordinationis ramorum ab ori-
Sn inter focum.  derticem, est ad Locum con-
anum alterius Flyterdouo soribumsrcla. Mus cen.
trum ium est ac rdun barerat. Idemque MD.
dulus est axis Transuersus circumscripiae Fyperbola
qui ad sdum rectum lado eot dt Tansabts adrta
Fyperbola ad summam huius laterum.
Sio data Ayperbola AB C, cuius aXIS CLaMerIUS AB, cenrum O,
u delleaB Focus+. et guoo 16113 Del Gua i oclaae
AC. balis circumseripei Mansus ACC, luque NL MOauS CR VerrI
Cali B C aidsOaliter aptata in OI aec. Dieo, Si per L terminum pro-
Piorem Moduli, ec cum cenro P, circa axem L. D L. describatur Hyperu
bola