# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0215
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0215?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 23, page id 898203430:0215
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=215
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000215.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.84
# 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.

ORDINATARVM POTENTINM LINIY. LIB. H.
Ex producta B A Sumatur ip s equalis AD. Frit er so DB secta Bariam
in A, eAque ipE addita B C, rectansu I SISIN
lum igitur DC B cum quadrato B A aquas B1 1= 30
le est quadrato NC: Quapropter rectair
sulum DC B, hoc est quadracum ordina
1
Ix CF (ob Hyperbolam aequilaceram) est  s. dsit Ei
differemia incer quadratum daiae ABi 8 3.  it 1
quadraum superaddicae AC: ec hoc des I1 BAP
linculis similibus ordinacis dc. Ouare con-d
cauum huius Fyperbolae est Locus proposi Ordinationis. Ouod ctal r
PROPOSFF19
1 L. T1SI
Ocus Ordinatarum potentium differentiam er qua
dratum datae, es differentiam quadratorum data
C5 partis, est Locus planus seu recta linea jemires
cum anculum cum data consticuens ad decur sunt ad
ia cum parte.
112 16. L3 BCH ). 2.. 4101 1a
DTT AB data, de pars quaelibet AC, ad A vero siE anguluS LCMHCCM
BAE per rectam AP. constiruus. Dieo hane, esse Locum prOpOlitum
hoc est ordinatam C D posse disterentium
inter quadratum darae A B, _ disteren
elam quadratorum eiuldem datae AB, de
Dartis AC.
Disserentia enim incer quadrarm daiae.
AB, de quadratum parcis AC eA rectan
sulum ABC cum rectangulo AC B: led
disterentia inter rectangulum AB C cum rectanoulo A C B, a Guad
num datae A B est idem quadratu AC, vel quadracuin CD, Ob aqua
les angulos lemirectos ad AD, ergo C D po est praedictam disserentiam
inter quadratum datae A B, _ differentiam quadratorum daca A B, de
parcis AC; de hoc de lingulis similibus ordinalis _C, OUapTOPTeF FCCla
AE eAt Locus propoliae Ordinationis. Ouod erat eC.
EHs. sIe AIIIEIS.DNOS. O
PROPOSITIO La
Ocus Ordinatarum potentium differentiam inier qua
aratum datae, (5 differentiam quadratorum datae,
es additae est Locus planus, nempe recta linea semi-
rectum aneulum cum addica constituens ad oocursum
ejusdem bum data.
(5111. 11C
191I1.