# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/746572255:0027
# Permalink to this reading: https://leibnizlegible.com/page/746572255:0027?run=74
# Title: [Danielis Lipstorpii Lubecensis, Specimina Philosophiae Cartesianae] Danielis Lipstorpii Lubecensis, Specimina Philosophiæ Cartesianæ (shelfmarks Leibn. Marg. 14; ZEN Leibn. Marg. 14)
# Folio 3, page id 746572255:0027
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=746572255&page=27
# Source image: https://digitale-sammlungen.gwlb.de/content/746572255/jpgs/default/00000027.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.

DE CERTTEVDIME PETLOS. CARTESTANA.
tia propolita, led criam in aliis omnibus ulque adeo criden-
ceslune, ut ab eis nulla ratione dissentire queatis, qui iplavo-
cabula recte perceperit. ut, Si aequalibus aequalia actdas, FOr2
lunc aequalia. Ex his propolitiones, i. c. problemata e thco-
remata lua contirmant, cilque, (i quando ulus postulee, lem-
mata peamittunr, uc demonstrationes taciliores sine ac bec-
viores (ucividere licet lib. 6. propolit. 22. Flem. Lucl.) vel
Porilmara Icu corollaria adjiciunt.
Adillum modum Fuclides a simplicissimis exorlus ex 20 ictis 7
comunibusnocionibus abstrula latis eduxic: quales luntpio-
politiones 47. Fl. P. X2,eC 13. Fl. IF. 16, 836. FL. IIF. 14.15. 16. II. V. 4.
76, 17, 20. 3T. El. VT. XC. Fuxrahaec Flementa CCodecx distan-
cias, alcirudines e protundicatesinaccelsas explorant. GC0-
oraphi orbemterrarum dimetiuneur. Oprici, Altronomi, Cuas
lcientias perticiunt. Sic Archimedes ex paucistimis hypoche-
Sibus Supenda contirmarie de Sphaera es Cylindro, de Cir-
culidimentione; de Conoidibus e Sphaeroidibus, de Lineis
Spiralibus, de S quiponderantibus, vel Ccneris graritaris pla-
norum, de quadratura Parabola, h. c. porrionis conrentx à
lincarecta, e sectione rectanguli coni. FTilce deniquo adiu-
tuS acera nurmerum, non illiustancum, qua circa Syraculas
e circareliquam Siciliam existebar, verum criam illius quee
in univerla habicabili simul ex intrabicabili regione ubigue
contineripossit, determinarit. Non dicam nunc de Pappis
Apolloniie Theodoli praeclaris inventis eadem via invelci-
gatis. Salcem hoc unum addo de Feliplibus, quarum tem-
Poraes durationestam praecile decerminant ac praenunciane
Astronomi, non alicer, ac si DeoO. M. a consiliisincimiori-
busfuitene, corumque arcana hominibusrerelalsent. IInde
verohoc: Nempc expaucissimis iltishypothelibus, parrim
veris, parrim Falsis, (pro veris ucilicer hic assumpris ad illu-
lerandam vericatem, ur cum altronomi Equacorem, Lodia
cum, aliolque circulos in caelo imaginantur: quaiplatamen
FCVC