# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0058
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0058?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 30, page id 898203430:0058
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=58
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000058.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.92
# 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.

VINCEMTM VIVIAMI LRO LOCIS.
tr, Secare laterales tangentes A G, C R extra verticales BG, KR in
FI, M, X ordinuis ITL, MN, LegMeHEA DL, DM aequalia esse, adeo
que punctum bilecans L. N cadere I FMlip(IS CenruM C.
roniam, in singulis fieuris, prima excepta, dum ex occursibus IY, M.
n quibus, verricalis tansens BC tranversum aptata ex data ori-
Sine D, in anculo recto D BC, in DT, convenit cum laieralibus
tancentibus F A, C F) ad axem D B ordinantur rectae HIE, MN, frequen-
ter, ad ea quae seguuntur, vir opus est axis sermento D L ab ipsis ordina-
is abscisse; hoc in posterum MODVINM EX VERTTCALI appellabimus.
Punctum vero Y Nodulum bi fariam SecanS, C ENTRVM MODVLIEX
VERTLCAL I nuncupabitur.
P ROPOSITTO XVIII.
N quacunque Coni- sectione. Ouadrata ramorum ab
origine inter focum; (a verticem; in FIlipsi autem
prolata, ab origine interna obicunque data, sunt in-
ter se, et rectancula sermentorum axis inter ordina-
tas ex terminis ramorum, Ca terminos Aloduli ex verti.
cali interceptorum.
StO ABC vel ParabOla, vel Fyperbola, in prima fsura; vel FIII-
 Plis oblonsa, in secunda; vel prolata, in tertia, d quarta, e quarum
42.5 BD, vertex B, tOCUS F, inter quem, de verticem B in prima, de le
cunda, vel reicunque in tertia, de quarta si Oriso D, Per quam tran
Peac balis circun (eripei exianguli A E C, vel, ve in quarta Aigura, axis
maior AC; ad cuius extrema puncta A, C, contisant rectae SH, TP,
lique in omnibus NL Modulus ex verricali, _ alius quicunque ramus
DK, ex cuius terino R sic ad axem ordinata R O. Dico quadratara
MOTUM DB, DA, DI, DV, ac. ese inter se ve rectansula NOL,
NDL, NBL, NVL, aC.
Producatur verticalis contingens C P v(que ad lateralem F. C ad P, 8e
ex K ordinetur S Y lacerales lecans in S, T, sectionem vero in Q. de
axem in O.
Ex quoniam verricalis B C aequatur transuerlim cOaptatae DP, erit qua
dratum BC, Sive rectanculum CTP cum quadrato IB aequale quadraro
BI. sie duobus simul DB, BL. ee dempto communi quadrato B 1, su
perexit rectansulum C LP aequale quadrato rumi D B.
Tem