# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0019
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0019?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio - , page id 1066518432:0019
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=19
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000019.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 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.

P R A F A T I O.
stionem propriam in eius libro, tunc adhuc inedito, pariter ri
deram. Sic etiam problemata catenariae, relariae, ec. ad hoc
generale reduxi: invenire figuram manentem linexe Aexilis in
tingulis punctis a porentiis lecundum directiones quascunque
impullae, cujus Colutionem simplicissimam, uc mihi saltem ri-
detui, extribui. Et hoc modo in aliis procedere conatus sum.
Pexspicuitati, quantum potui, licari; proprerea muleae demon-
Srationes prorectioribus Geometris nimis prolixae fortasse vi-
debuncur, sed sciant relim Trronum quoque rationem haben-
dam mihi tuisse, quibus non lemper in porestare eA ca lupplen
ci, quae subinde ex demonstrationibus breritatis de elegantix
pratia relecantur mente necellario supplenda. Interim diftireri
nolo me etiam, quantum porui, elegantiam lectatum esse, atque
propterea demonstrationes lineares algebraicis praetulisse, ex
perientia mulciplici edoctum, meditationem figurarum laepissi.
me simpliciores ee elegantiores suppeditare Colutiones ac con-
Aructiones, quam Analriin speciolam. Speciolam dico, nam
subinde ucor analy si seometrica, se: lineari absque srmbolis
algebraicis procedente, cujus beneticio multa elegantius obtinen-
tur quam calculis analyticis, etfr. non semper. Fjusmodi analvsi
geometrica reteres ulos existimo, quemadmodum ex Fuclidis
datis et Apollonii libello. de Sectione Rationis à Celeberrimo
Edmundo Hallaeo ediro non obscure colligitur; Cimili etiam
anals i summus Nertonus ad Cuporem usque ulus est in suis
Principiis. In applicatione rero cheorematum, tanquam loc0
magis idoneo, calculo algebraico subinde utor.
In his libris trequens curvarum est ulus ad repraesentandas
virium, temporum, celeritatum, aliarumque ejusmodi at-
fectionum proportiones, quas propterea curras rocabulos ca.
larum inlionire solco, prout Carallerius d Virianus Celeberrimi
Ceometra diu ante me circa rarios graritatis giadus e mO-
memtorum corporum, Archirectos imitati, qui lineam sectam
1
Ird.