# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0683 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0683?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 663, page id 851387705:0683 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=683 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000683.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine # Lines: 48 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. PFOP. XXIV. Ccar aatis. P ROP. XXTV. Datis Ponderibus quorlibet; una cum AXe motus, (aut per illum Per- pendiculari Plano,) et Centris graritatis, (aut horum à Perpendi- culari per Arem Plano distantiis, ad datas partes:) Vel, Dacis salcem summa Ponderum, ee simul omnium Ponderatione ad datas Partes: Dittanciam Ceneri cravicatis simul omnium, à Perpendiculari per Arem plano, inrenire. Adeoque; Ponderationem Augere vel Minuere in dlata ratione. Nem- pe; in ea ratione, aueta rel minuta Distantia. lu =106 = + LOPD 20P Luta; Si F TOC== F LOPD summa Ponderationum dexrrorlum, data; (vel ex dalto AHMCCa, Der 22 hujus;) per 20P summam ponderum diridatur: HTabetur L ED, distancia Oeneri graritatis a Plano per Axen Perpendiculari, dex- trortum: Puta, in =Z. Recta, Planore. Corollarium, constabit ex 20 tujus. Ouippe jam datur corius Aggregari (can- quam unius Grraris) cum Pondus cum Centri Ccrariratis distantia. eR OP. XLV. 705 Scenditur ex 20 Cap. 3. PrOpter 16 hujuS. tio Ponderibus vel summa Ponderum; cognolciuur La. Vel ex coenita Poucratione; summa Ponderum. u mne +DRF = + DP =+ 2. +C = + DP. . 10 2 s 01t SEquituT Cx 22 Cap. 3. propeex XB huju S. 11.A 311 . X 0 e R O D. NXVI. Datis, in Grari (quoris, tribus A, quilibrii. Planis~ sGuX non in una vecta concurrauri Omnia; s. Nel Vatis duobus squibiusris AxibuS, AP- equilibrii: Dacuni osusdem Cenerum Craritarisil Dempe inicommuni lecantium concursu. CoLSHCISION Et quielems. Diguree Plana,. vel. Livex utcunque xurrae in Plano de Scripex: Datis duobus (praetersiplum Plamim elanisi gnititorii, (non in liujus srecta aliqua concurrentibus: J. N elus VIna Axe sgni librii non umillo Dlano Jacente: hLaeur. Cencrum Ciraritaris. ) Nem De in communi datorum ConcurTU. Lps lI SisNSIYS: LE FAVISES Linca vero recte; Dato uno rel AEquilibrii AXC, vel Plano Aquili brii, rectam NIam secante: Dacur Cencrum Craricatis. Nempe, sectionis Punctum. Puncti vero, Cencrum Ciraricatio, est punctum ipsum. On enim duo Plana. e lstic nisi in una recta secent; Rectaque sve rectam, lire planum, non nisi in unico. puncto; (ut ex elementis nocum est: Vatan a Perpendiculari pet Le Plano communis Londetum quot- libet, uccunque positorum, Centri Craricatis Distantia, Px cooni- 11s): aSst