# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/746572255:0242
# Permalink to this reading: https://leibnizlegible.com/page/746572255:0242?run=74
# Title: [Danielis Lipstorpii Lubecensis, Specimina Philosophiae Cartesianae] Danielis Lipstorpii Lubecensis, Specimina Philosophiæ Cartesianæ (shelfmarks Leibn. Marg. 14; ZEN Leibn. Marg. 14)
# Folio 218, page id 746572255:0242
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=746572255&page=242
# Source image: https://digitale-sammlungen.gwlb.de/content/746572255/jpgs/default/00000242.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.93
# 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.

218
A P P F N D I X.
appolica. Faec enim, notante erudirissimo C laudio Calpare
Baccheco in ab lolurissimis comment. ad l. T. Arichimet. Dio-
phanti, quaest. XXVrI, ideo apponitur, ut per eam agnoscamus,
uerum possibilis sit questio neone, ne videlicet oleum operamque
perdamus, circa impossibilem frustra operantes, ac proinde talis
esse debet conditio, ut ante ipsam operationem naturam quascio-
nisnobis aperiat. F. quibus clare liquet, quancitates vel nu
meros allimptos, quamris incertilint, ca tamen virrute esc
praedicos, uc, Imodo rite fuerint praeparari, poMtpercos
ionoca quantitas innotescere, de elici: non quia tals lune. (cd
quia debitam ad ralorem quaelicum racionem ex rirtutem in
Se continent. Ouinimohocmagis adhuc perspicuum cstex
co, quodperunum quoque numerum ex quantitatem pro.
blema Colri potest; licur ex Diophanto illudlatis superque
constat.
Ilcimas denique objectiones nobis Faceltune
modi demonstrandi, ab Fuclide lib. IZ. F lem. PFOP, I2. C aF-
dano lib. V. de proport. prop. 20r, & Theodolio lib. T. Sphae-
ricorum propol. 12, adhibici, quo Claris. Dn. Pac quer digi-
cum intendise ridetur, quando dicie, se novis exemplis Ceo-
metricis id consirmaturum. Frenim, notante Clavio adprop.
12. l. 9. Flem, in ea Fuclides ex eo quod F. dicatur non metiri
ipsum A, ostendit demonstratione affirmativa, F. ipsum Ame-
tiri: quod videtur fierinon posse. Nam, si quis demonstrare in-
stituat Socratem esse album, ex eo, quod non est albus. paradoxum
aliquide inoxinatum in medium afferre. Cui tamen non ab (E-
mile quid factum hic est innumeris ab Fuclide, ex in aliis non-
nullis propositionibus, quae sequuntur. Cardanus quoque simile
quid effecit in magnitudinibus lib. 5. de propor. propo(. 20F, Elo-
riaturque se primum omnium hanc rationem demonstrandi re-
perisse, quod arbitror eum non ducturum fuisse, si dilizentius vim
hujus demonstrationis expendisset, vel certe, si expendit, eam in
memoriam revocasset, quandoquidem ipso lonze prior Fuclides
usiS