# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0853 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0853?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2) # Folio 829, page id 851708439:0853 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=853 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000853.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 71 lines, status machine # Lines: 71 recognised, mean confidence 0.82 # 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. p E P IS FOL IC U M. D. Wallisium aliud in suo problemate incendiste, et aliam solurionem expectalte, cum huie acquiescere non debeat. Proponatur igitur problema ut sequitur. In- renire duos quadratos incer se primos quorum linguli juncti suis parcibus taciant eandem summam. Sequuneur lacera quadratorum, qui quaelicum prxestant. Si enim quadratus nu- meri 326 jungacur luis parcibus, etticier lummam 187F3F: Timiliter de quadratus numeri 407 junctus luis parcibus dabic eandem Cummam 187F3F. HlaC verO summa dacur in parcibus, poH sex priores quadratorum copulaciopes. (N. B. Nameros quos ille ex plaribus inter se ductis compositos exhibuit, vi- sum est (in Lectoris eratiam ’in componentes item resolvere, e mendis ali- quot liberore) quo totum artificium rectius percixiat Lector, (si libet) exa- minure possit. uu Lacera Oractrarorum. 11P. 3t 326(= 2X163 407 (== TTX37) 627 (= 3XTLX19) 749(= 7X 107 251O( =- 2 XGX F5T) 1809(= 3x3x3267 T3066 (== 2 X47X139 5400L (= 3X13 X350) T0686(= 2X3X13X137 27532 =47 23731 T463EF (= TZX 47X283) 247623 (= 13483X137) 36T232 (= 2X2X2 X2X1O7X2FY) 487173 (= L9XT37XF92) 343052 (= 2X2 X2X2 X7 X 37X83) 507459 (= 212 163X283) 724E52 (= 2X2Y2X3XTFXI3X2∞1) 219594 C (= 7XXOX47XT9F fei iceri Summa. aut L87 ESL (= 3Z7X7XZ9X67 FETAOB(= 2X2X2X2X3XTTX2F1) 283169 (= 7 x. 137 X X9C) 1t e ectocs 658740 (= 3X7XP3H 19X 2271 498080+ (= 3x7X7X3LY 1093) 307464339 (= 3X7X L3XBZX6PX +99) 32485827F ( = 3XZ XI7 XL3Y37H6LX13) 241264475+3 (347XLGX37X6ZH7343671 X3X13 373F,3749, 73, 127, 160. S1L 7,7 13, T3 31 18, 31,37,49,73, 163. 333,77 29,10 d, 48, 67, 73, 36F, 367. 3,3 13, 13 1738 18,34, 37, 61, 127, 169. (. Sequebantur hie aliae vinorum copulationes 27. ) Ptures alii bini quactrari reperiri possent, sed ad alia operandum est. Non Tolum enim bini quadraci partibus luis juneti eandem summam conticere ralent; sed etiam trini, quatrini, quini, seni, ec. idem praestare pollunt quadraci et in- ter se primi. Trini aurem, quatrini, dc. Guadrau dicuntur inter se primi, quando nullus numerus hos omnes dimetiri porelt SiC quadrati 9, 16, 225, 324, hic dicuntur inter se primi, quia nulla est iplis quatuor communis mentura, quanquam ires ex ictis habeane numerum s communetm menturam. Frini quadrati. Patera quadratorum. 245828(== 2XEXILX37 X151) 294867 (= 3X3X3267X2631, 307285 L=SXLL X37 ~ 157 Summa. 133151753E33 (= 3X3X7X7 X7 XTOH3L467 X 1093) M M M M M 3 Latera