# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0294
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0294?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 266, page id 1066518432:0294
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=294
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000294.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.95
# 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.

266 DE V FRFBUS ET MOTFBUS CORDORUM. LTB. II.
effectum, eandem que adeo curram ac graritas, productura (IF: Sed
theleos applicatio in nesotiorelarix claudicat, cum notabilis dispa-
ritas intercedat inter actionem graritatis in catenaria, ex venti actio-
nem in relaria. Nam aequales catenarix particulae aequalibus nisibus
descendere conantur juxta directiones horizonti perpendiculares,
secus quam in relaria, cujus particulae etiam si sequales a Elamentis
aereis eadem etiam relocitare in eas impinsentibus inaequales tamen
impressiones subcunt, et quidem juxta directiones non horizonti, led
currae elementis perpendicitares. Cum igitur circumstantixe, quibus
scaritas in catenariam rencusque in relariam agunt, toro caelodif.
ferant, nemonon ridet, quod ea, quae de catenaria demonstrata lunt,
non masis relariae quadrare queant, quam analysis currae lintei conre-
nire polsit indasini currae clasticae, et ( notante C lar. Jac. Bernoullio
elattica eriam eadem sc cum curra lincei. Guoniam igitur problematis
catenarix Tolutio non inrolrit Colutionem relaria, ec quoniam hu-
jus problematis solutio, rel rectius dicendo analrsis, nusquam ad-
huc publice, quod sciam, exhribita est praeterquam 5. 103. ubi ad il-
Justrationem generalissimi nostri cheorematis problematis de relaria
Colutionem obiter elicuimus, partem physicam problematis alibi ex-
cuciendam illic relinquentes; nunc rero ex protesso problema tra-
Ctabimus, analrsin ejus geometricam cradituri intelligentibus, ut
opinor, non displicituram, praemissis tamen prius duobus lemma-
tis in aliis etiam ului Futuris.
FiB. 117.
PROPOSTTIO LT. LEMMA.
463. Centro Oe semilatere transverso Oa descripti sint quadrans
circuli ACK, ex Byperbola aequilatera ABM, tum etiam locarithmica
AC circa asimptotam LK, cujus subtancens sit OL. aequalis radio qua-
drantis OA, quae loc mica per punctum a transeat, ductisque ex quo-
libet Brperbolae puncto B ad centrum O recta BO, tancente hyperbolam
in vertice AP, secante in puncto F, e per hoc punctum F recta FTI
Parallela radio aO, quadrantem secante in C, E OK in II. Si RC
recta jungens punct a R e C producatur usque dum cum radio  A iti-
dem protenso concurrat in punetoD, atque per hoc punctum ducta fuerit
recta DC ipsi LR aequidistans. Rectanculum sub hac DC e radio O A
sequabit ubique duplum respondentis sectoris Byperbolici ABO.
Sumto alio in hrxerbola puncto b, alceri B indehinice ricino, du-
Cantur bO secanS AP in f, item fh, Parallela FHI, circulum in 8.