# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0093 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0093?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 73, page id 851387705:0093 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=93 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000093.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine # Lines: 57 recognised, mean confidence 0.84 # 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. a CaDXVL F I BaDDCEIOHCCL. adhrue auterantur 3, deerune omnino 8. Si igitr residua istaec omnia partieula- ria in unum collisancur, eric illud 1 2 Similuer i exemplis lub. et ex A F 2B = 3C + D. auterantur, 2B - 2D + P, manebit A- 3C45BL. e Pactet MM alIIS. 34 7 34 = 2a- 21 = 34 21 - lc C. + L 3C + 3D - 4b 1 E Ouod A Supponamus A, B, C, D, Ln SignisCarE L, 2, 3, 4,5. F.F a, _, _, Signi- ficare 2,4, 8. cancundem ralebun illa acque AXC. 0 O 6+ 6= 0 Alque haec quidem, de Addirione d Subeluctione Aleebrica de Speciota, dicta Fusticlane. Ouod autem superius de Rdditione monuimus, illud etiam de uirisque Rddicione ee Subductione (sire Numerosis sire Speciolis) incellisendum est; Nempe Duan- de plures quantitates sunt continue vel addendae vel subducenda vel pariim ad dendae parsim subducendae perinde est quo ordine instituantur operationes, modo omnes continue perasantur. Non enim de ordine Ceu lieu quancicatum quaricur Ted de earum magnicudine; (nempe quancum illud suc quod emersic, quocunque 6= 5. e A FB - C = B 4-C 2 - 4 - 2 - 30 2=0 84123 tandem ordine ailpOnanEuIT.) Nempe 6 + a C + B = B - I alto. 16 + 12 1 4 - 20 = 22 A = - C + A F B = - C F B F A. KC SIILILCF C A P. XVI. Rdditionis Subductionis, per contrarias operationes, probatio. Objectionibus Rami respondetur. Duaestiun. culae aliquot familiares solvuntur Probatio novenaria. Vtut lubrica sut, non tamen contemmenda. Duomodo reddi potest certa. DOs tracticam Addicionis ee Subductionis praxin; annectendum videtur ali- quid de veriusque Probacione sive Examine. Cum enim in Rrichmetices Praxi, cironibus praelerrim ee parum exereitatis, error caleuli Facillime possit irrepere: solent hic Aruhmetica Practicae Masiltri mechodos tradere operationem sam peractam examinandi, quo metius perspectum sic numquis error Tublic. Ouam exo rem in hunc locum diltuli, quod Addicionis et Subductionis examinationem simul cradendam esse duxerim; paruum quod eadem tere sic ucriusque mechodus; parcim etiam quod neucra seorlim cum commode cradi postic, cum alcera alcerius probacionem praellet. Addicionem peractam solenne ett ver Subductionem (operationem ipti con- Fnami- Erariam) examinare. Cum enim duo numeri simul addici Lune, si ex summa sub. natio sev ducacur eorum alceruter, seltabic reliquus. Oc ( 2 f3 monebunc 3; si auterantur 3 manebune 2. Acque idem pacebie, si in tor punetis res perasatur. Si enim puncta bina ee cerna contticuant quina; delecis z munebun 2; 2 i Crunt 5 = 2 = 3, ∞5 15 L. HOC CA, A _x 3 acdica constituane 5; cum, si ex 5 auterantur 2 l100ac10 Additio-