# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0226 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0226?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 206, page id 851387705:0226 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=226 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000226.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine # Lines: 59 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. Praxis DE REGULA A Cap. XXYIX. Simplices. 3. 20:: 12. 9= 80. 4. 9 =- 80: : 6. 9 = +20. Tocius procestus racio, ex d lacs palet; cum non aliud sic quam operatio sim. Plex bis peracta; nec nora indigebir demonltratione. Ouod antem Binis Aurea Regulae operacionibus jam peractum cl, Pot est id altera. ipsum una operatione composita peraei: Si nempe uiriusque analoeiae simplieis primi termini invicem ducti, habeantur pro termino primo analoeiae compositae: e similiter simplicium termini terrii, invicem ducti, pro tertio composita: ter- minus aurem alter, quaesito homoloeus, pro secundo. Verbigracia; in exemplo prius expotico: Si 4 viri, 3 mensibus, ependant l bras 20; 6 viri, I2 mensibus, expendent quot libras Pro cermino primo; analosix CompOtia, (uMatuE 12 = 4 X3, (nempe qui til ex numero virorum primorum in numerum primorum mentium ducto;) pro certio, 72 =6X T2, (quitic ex numero secundorum virorum, in numerum fuo- rum mentium ducto: ) Dro sccundo aurem, 20, numerus nempe librarum, hoc est, cerminus quaesito homologus. AdCOGUC LOLS procellus lic conctabic Compolita. 5. 20:: T2 +. 20:: 6 2. 0 22 . 20:: 72. - 2L0. 20 2t) 14AdCLtad Similicer in Symbolis: Si personiae P, tempore T, expendant libras L, persona X tempore r, expendent quot putan, numerum quaelitum. Dico exit UE P F PY) XTXL (N. Procelsus hic exit. F) XrXL C ) ad L; lic Xr (= XX2) Al A, HUMEFII qUXLICM. Nempe Ejusdem Operationis hujus compotitxe Ratio, sire Demonstratio, dependet ab ejuldem demon. Cuu Placedenre conrenientia. Cum enim ut suxra oltentum cA, Analosia com prant. Polica, relolricur in binas simplices L:: F. L: : X: 9. . Erit primo 4= demonstrandum. AaCoque 2, a. TX X L1 2 aL l quod crat Rodem plane modo statuendum est, si exponatur Analogia etiam adtue maois compolica. Puta Si trabis lienea, cujus loneitudo, pedum 4 =A; laticudo, pedum =B; alsitudo, pedum 2 = C: pondus sit librarum 240 = D; trabs alià lonea pedes 10 = eiu lata, pedes 4 = 6; alta, pedem 2 = Y; quanti erit ponderis? (puca, librarum S.) DicO, UE AXBXC, ad D; SCaxBX7, ad 5, = 10X472 =40 47. 3X2= 2.4 simplices. B. ABC D. HOC x240 = 400. Ouod paree, relolura anaos compolica, in tres 10b1 icom mulei Teri