# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1815201908:0025 # Permalink to this reading: https://leibnizlegible.com/page/1815201908:0025?run=74 # Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1) # Folio - , page id 1815201908:0025 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=25 # Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000025.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine # Lines: 60 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. F L F N C. Ht Y 5 Tori quadratorum seriei datur rectangulum aequale. pac. 130. pr. 128. 129. Iem serier quarumcum que superficierum, una similis superficies aequalis exhibetur. 131. pr. 150. Ostenditur lineam eandem transire per omnes omnium rectilinearum similium, simili- terque positarum anculos, modo bases indirectum sint posita, es series datorum ejusmodi rectilneorum determinatur. Idem circulis accommodatur. 132. pr. 131.15L. 135. pr. 135.134 Varia triancula varis quadratorum, trapeziorum; es c. seriebus in infinitum conti- nuaris aequalia desienantur. 138 pr. 138. 139. 140. 14. 1. Series diversarum superficierum in infinitum continuatarum, inter se comparantur. 141. pr. 142. 143. 14 4. 145. 1. 46. Dato plano exhibetur serres planorum similium incipiens à dataratione, quae aequalis sit dato plano. 14+. pr. 147. 148. Exhibetur series incipiens à dato plano, aequalis seriei datae planorum similium, aut quae habeat ad seriem datam; rationem datam. 146. pr. 149. 150. 151. 152. Series planorum similium quorum bases in eadem sint linea, comparatur cum plano si- mili consticuro super linea in qua toca series planorum similium terminatur. 149. pr. 153. 154. Series complementorum ad onam partem diamerri in paralleloerammo constituto- rum comparatur cum serie quadratorum ad aliam parrem diametri constitutorum, torique serrei aequale rectanculum determinatur. 150 pr. 155. 156. 157. In serie quadratorum quorum bases indirectum sunt constuut a considerantur quadra- ta impares bases obtimentia, hoc est primam, tertiam, quintam, es c. 152. pr. 158. Comparantur parces serieruminter se. PA RS OV AR F 152. Pr. 159, 160, 161. 162. TIac quae inplanis demonstrata, corporibus applicat. Etei cudorum in infinitum continuarorum in eadem ratione, terminus inveni- Partes seriei cubica cum parcibus seriei linearis comparantur. Seriei cubicae aequale parallelepipedum exhibetur. Serres cubicae binae comparantur inter se. Seriei cubica aequalis series paralle lepipedorum datur. 37. pr. 166. pac. 161. pr. 171. 157. fr. 167. Pyramidi quadratam basim habenti inscribitur series culica, ex includentis ez inclu se diffetentia assienatur. 158. pr.. 166. 169. Datae seriei cubicae, prramis super dato quadrato aequalis assienatur. . 100. pr. 170. Serces cuboram quorum bases omnes ad eandem lineam terminatam constituta, com- paratur cum paralle upe do quod fit super duta linea terminata ex latere quadrati 135. pr. 163. 155. pr. 164. 156. pr. 165. tut in primo cubo 1ol. pr. 172 Superficiebus omnibus totius soa i as da. Datia praterea crrca hassuperficies, e supes pat anelexipedorum ex prramidum certarum deter- 162. pr. 173. 174. 175. 176. 177. inantHI. LIBEK Aet i A i e s. e . . pe . . 1. . p pu u e p u tt u a