# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0597 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0597?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 573, page id 851708439:0597 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=597 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000597.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.86 # 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. Cap. V. 25, FF 2 Cingulis harum Constructionum, derirari poterit tanta CaTuUM Conlequentium vatieras, (Fisuraque tormari huic diver(itati CongruX;) uc 583 de lequencibus, tir d Constructione Prima. Sed hisce particularim recentendis abstinco; id eorum industria permiccens, quibus libicum est (exercirii sui Bra- iia) has ica prosequi prouc eso constructionem Primam prosecutus sum. De Sextuplatione es Sextisectione Arcus Del neuli. A. Insq; consequentibus Multiplicationibus e Sectionibus. T. CEcundum easdem Methodos, inrestisari postune sexruplatio, Sepruplatio, et consequentes Areus Anoulire Mulciplicationes. Vr et corum Sexti a sectiones, Seprifectiones, e consequentes Sectiones. Ouas cgo faltem breriter actingam. 2. Sextuplatio haberi porest, Priplando Duplum, vel Duplando Triplum. F,F Sextileetio, Bilecando Suberiplum, vel Prisecando Subduplum. Ut per se patet. Idemque valet, mucatis mutanais, in aliis Mulciplicationibus et Sectionibus, d numero Compotico denominatis. Nam Mulciplicationes et Sectiones, successive factae, prout postulant numeri Componentes talem Compotuum; tancundem lunt acli una vice per Compolirum tierent. 3. Si auTEM NON FOTET SEX nuerUIS CompOTitIS, aut SI SiC tractetur qual non FOVET: Porest tamen Sexcuplacio ee Sextisectio, pariter praectari, ue in ante tra- ditis Calibus tactum cst. Nimieum, 4. Si Circulo inscribatur Ouadrilaterum; Cujus opposita Latera Sint B, B. subcenta Dupli arcus; _ B, C, subrentx Dupli e Sexcupli; e Diagonales D, D subrentae Ouadrupli: Tum Dg- B9 = BC. Ec B) D9- B9 (C. AN GUL AR TBHS. XLC Z FIL. V c. EFD) F9 = A9 (G. Vel; Sunto oppolica Latera 1 B; _ C A, DF = A 3 = CC. EF C) DF = AB(C. XEV Sunte OpDOLIta Lateta A, A; et D, C; et Diagonales F, F. Tum est C; et Diagonales D, P. Tum aLXVI Vel; Sunco opposita Latera, A, C; d F = AC = BC. Et B) CF = AC (6. Cbb3 6. e Dine onaleo C, P. Xum C. 8. Adeoque