# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068241:0022 # Permalink to this reading: https://leibnizlegible.com/page/00068241:0022?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 28 # Folio 11v, page id 00068241:0022 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068241&page=22 # Source image: https://digitale-sammlungen.gwlb.de/content/00068241/jpgs/default/00000022.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine # Lines: 78 recognised, mean confidence 0.73 # 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. sit C septembi. e Inventio Radicum irrationalim -X+ a + b +5 (+d equ. 0. ponantum singulae a. b. cid esse irationales quintigradus. Haec s aequatio ducatur in formulam aliam irrationacem m earum quae adhiberi possunt simpliussimam) pta constitutam, ut productum ex ambabus sit etiam rationals. C + 1d 15 e a at Xe t orniu hilius producti ert lcecti +4 l a raebc. + va Habitis literis l. m. n. p. 9. r. s. t. v. Y Losnam 10 l 20 asae+ ma Ai + pad + sa in ab. + 4a + comparetur aequatio haec cum aliu facta et aequ. X 1s 12 Raequ. o Qvaeritur Vator 10 abc + abC qus +fx Fg a +n aequaed no constat aliude haberi posse potesacterum 12 s ek N V. . V. F e vamutur quantiets . C 4) () d. t. gt equio son eig liber qud sit, nvememu, an ces sa possibi siuneros sumamus An d 10b or pnt imagnitae Hoc cemeou sucldiat quatio speridelu o 10 A+Dex+fatga 4 h aquios credo eqatio quod semper fieri potest modo alibi icato. Jam aequatio 2. multiplicetur per monon e 15 15 108. X =ta. prodibit aequatiocX X X X X. X 5ls daqu. imilis aequationi 4 eique comparanda, qua comfaratione invenietur a ab sl iterarum l. M. R. p. 9. Y. 1.t. A+B +X+X +G aequ.b Ex altitur ea ad gradum vigesimum quiattur ui 12 X 11 abC. abed l. m. n. P. qr. s. f. V. Y. LItem modo si e nanu 0. f. 9. h. Et jciimum P. f. g. h. _. possunt inveniri rummethodo alibi dicta tum tum si sumantur . numeri pro N. et ita ex aequ. 3. fiart quatuor aequationes daturae vulores ipsarum C. frg h.. porro quo l. m. n. p. g. Y. s. f. v. V. majore arteopus est. Quae tanven ita succurit