# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-957816:0003
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-957816:0003?run=74
# Title: LBr. 130 · BurgundioTolomei
# Folio 2r, page id DE-611-HS-957816:0003
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-957816&page=3
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-957816/jpgs/default/00000003.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 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.

obilisime atque amplinimo viro huilieline 5odefrido Scibnuitie
Noratias Barcandias Socler. Sene S.8. .
Cum probe noverim quam sit miho cirta suppellex in athematics disciplinis Tibi
Geometre prevontinimo incommodare meis literis non auderem, nini l. Joannes
Baptista Etoloneus animum meum crebris horratitus confirmaner ad hoc exi
tolaru commercium, quo nihil mihi optatius, aperiendum.. Patere igiturt
te altiora rimantem actaxatione quadam geometrica in quoddam Groblema
Ctatonis, interpellem. Is enim recenitus cquibusdam eeominicis ut gradum siti
faciat ad aptinmam etamentis singulis figurum tribuendas, hes pre vesteris in
simeo dicerte pronunuat. in Unum it aspre reliquis posthabitis triangalorum mub
n t pulcherrimum ponimus, a quo equilater trianguls ex tertio consertit. a-
n tio vero urita sit prolixior axcer. St eum, qui diligenti dicumme ita exe
 comperiet dalce manet uivorique presmium. Offendenti mihu nec opinanti in hoc
Prothema incerit impido inquirendi acquid tandem llaconis animo talia enunu
antis obaeraret. Num a trians ulo equilatero spatium planum repteri? Ncm
omnium triangulor icopaiminorum capen eadem baci conceitutorio equilaterus
caparinimum ere. Nsum in dercriptione go talis trianguli singulos lu-
nutaru angulos, ques ipeu crcumsiitunt quamus curvilineos singulis angalis rec
tilineie tranguli esquolateri equases . At enim hecc quamuus preclara vel in-
nentu facillimanet masima ex parre mulgata animaduetens mentem appali ad
conuiro Equilarrus, uius vertice in eodem punces concinente si intelligatur conus
maa uertiginis per sibi subiectum planum circumpotari succerriua laterum ud
plane tancente concruentia circulum deccritet duplum sue superficiei, et qua draple
tuque taris, ucumna autem diamenorum taces super eodemplanoconcistentia por-
tionem conceam, ques cum cono ipsam dercribente secntum ese prit conu equi lateres
et sic in infinitum. Demum succemno motu puncti peripheries bagis tangentis planu
mbieum, et absoluta inrcrsa revolutione iter super planus reuertentis ecloidem pra
ducit unius baris temicircallis peripheria equalis peripherius circuli revoluti. Porno
conons infinita progrenem geomenin licer modo diiro in infinitus continuare in pone
unius ad octo tarium in none unius ad quatuor, peripherioru insone unus ad duo
superficius autem omnes mrus conice medique proportionalls erunt inter lases. Dum
ista contemplor, atque ut ascolet menty patato non sine tencm defecare volup
tatque iterum iterumque regurto tum illud subiit in huiurce comi convercione
a peripherior paces concies a liam quedem periphera describi, ques dupla sit deure
benris, sed ques respectu crculi tases conue, revolute sit incar lince recte. Cnim
vero virnitas peripheniq circuli hoc converrione descripti iacet in plano inclinate ad