# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1665034815:0294
# Permalink to this reading: https://leibnizlegible.com/page/1665034815:0294?run=74
# Title: Concordia Scientiae Cum Fide, E difficillimis Philosophiae Et Theologiae Scholasticae Quaestionibus Concinnata ... (shelfmarks Leibn. Marg. 183, Stück 1; Leibn. Marg. 183)
# Folio 286, page id 1665034815:0294
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1665034815&page=294
# Source image: https://digitale-sammlungen.gwlb.de/content/1665034815/jpgs/default/00000294.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.91
# 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.

tumen.
la Geome-
280
E Y B F R OV I N YV S.
torum evidentia a suscepra senrencia dimovebis. Fequid ab iiS Ipetes H
dicoingeniosa in veritare quaerenda subcilicaris, sed ingenuae in protitenda
Cnceriraris, qui propolicionem tam claram, adeoque ex mera verborum per-
ceptione perspicuam vel non incellisane, vel incellectam abnegent ? Proter
Podes, ex toca qua late parer Creomerria, principium huic uni axiomari prae-
Ferendum: Nihit extensionis nulli extensioni additum, non facit exten sum.
Aroumencis isitur sequencibus, non huic primoprasidium, sed iis quae di-
cenda (unt praeludium ponimus.
8. 8. Si puncta admieris Machemarica, ea in directum collocari polle
prica ad. non abnues. Ilorum seprena constiruant rectam
versus pû A B, tocidemque in singulis rectis A C, BC,
eta nihil
sumendo AD, BD POnantur. Non ue Ruclides postulo ut
quod ex circulum perfectum describi posse concedas, tan-
ren(o e
Cebli bet
cum ue binae alicubi, veluri in C, D, concurrane
Postulo, inEerqUC CxEreMA C, D, puncta ex XquC
IaceanE, quae C D rectam effciant: Denique u
quae sibi mutuo applicata congruant, ea Faccaris
aequalia esse. Oui Geometriam vel ex limine can-
tum inerospexerie, ex his solis indissolubili conse-
curionum nexu confectum incelliget AF applica-
tam congruere B P, ideoque illi parem esle, ac
proinde rectam impari punctorum numero constancem in Pemisses pares esse
dirilam, quancumris hinc rerna, illinc quaterna puncta consistane. Nam
CD per aliquod punctorum septem cransibit; estoisitur rerrium, vel quar-
tum ab A, ca enim sune medio proxima. Si Terrium, ergo A P. trium,
BF. quatuor punctorum erit: Si quarrum, contra Fiet, urrolibet aurem
modo rectae AF, BF, contra id quod demonstratum cst, impares erunt.
Tameth vero apud Creomerras punstum F. SIE uerique rectae commune eo
quod punctum ab iplis ad extensum cantummodo terminandum, non augen-
dum lumatur, in hac tamen sententia propter rationem contrariam lumi non
Dorest. Id si quis Creometria ignoratione cenearer, is in alium se lagueum
haud minus soluru difticilem nec opinans induerer, cum recta punctorum pa-
rium secunda bitaria proxoneretur. Fstoenim A B punctorum (ex, et re-
ligua coridem, limilicerque ut upra dispolicae, et C. D cranseat per punctum
cerrium R, (neque enim inter cerrium, et quartum, quippe quae coneigua
ponantur, cadere porest.) Si punctum P. ueriulque recta punctis annume
res, in unaterna, in altera quaterna reperies.
punctis
conAato
Elem.
Fucl. l. 2.
PL. 2O.