# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0466 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0466?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 442, page id 851708439:0466 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=466 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000466.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine # Lines: 52 recognised, mean confidence 0.93 # 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. lL G F B R A. Cap. vertice) aequaliter crelcentbus. Ouod nocum et, d communiter receptum. 26. Si Relistentia Aerts hic in considerationem reniac: pro lingulis his pro- grectionibus aequalibus, substimenda erit progressio Gconetrica decrelcens, ad cundem modu (e Propter caldem causas) ue in linea Projectionis. 27. Flinc oritur, pro primo momento =; pro secundo in mei pro cerrio = + + _c. FF propierea calis erit Descensus Corporis oraris Tua praritate cadentis. Sup. Polico linsulos Graritatis Impultus inter se aequales csle. 28. FToc est (in A9. 2.) uE FL, FM, F N, _cc. in linca Descentus, correspondentis ipsis FL, L. M, M B ecc. in linea Pxojectionis. 29. Ac, quamris progrectiones illae pro linea Projectionis, m m m sint Similes hisce lingulis pro linea Delcentus: non tamen inde Ec. . _c. concludendum eric in una aqualem ette ipsi= in alcera: Sed in linea Projectionis (pura) =f (calis pars impresta Vis, ee Celexiracis huic correspondencis:) in linea Descentus, s (calis pars Impulsus à Gravicate oriundi.) 30. Ila quidem in linea Descensus (ejuldem Corporis) aequales sune inter se omnes; E0 quod s (novus impulsus à Graricate) supponitur in lingulis mo- mentis idem leu aequipollens. 3T. Ouxe autem lic proportio iptius f ad 8 (hoc est, imprestae Vis ad Grarica. eis impullum in lingulis corporibus) restat experimento inguirendum. 32. Proportio haec ubi comperta fuerit pro una aliqua nora Vi: cadem inde habebitur pro Vi quaris alia (cujus ad hanc Rario cst coenita) in eodem Uni- formi Medio. 33. Atque hac coonica pro uno Medio; cadem inde cognolcetur pro alio quoris, cujus Resistentia ad. Rehistentiam hujus Rationem habeat nocam. 34. Si corpus Grare Deortum Vi projiciatur in recta Perpendiculari, Descensus ejus (secundum hanc hypochesin) erit in ratione (Vis imprestae,) auctis iptis 3 c. iptius f m m mo t im + ime + mo ecc. iplius e (impul. sus d Graritate,) Per S7; _527. E0 quod uraque vires sint hic conjuncta. 35. Si lic perpendicularis projectio Surtum: Ascensus erit in rarione priore. dempra polteriore. Ouoniam impultus craricatis est hic concrarius imprella 36. Adeoque quum primum hic impulsis posterior (continne crescens) priori (concinue décrescenci) aequalis tac; desinie Ascentus; indeque Descenditur in ea ratione qua posterior impecus priorem luperat. 37. In projectione Horizoncali, aut etiam Obliqua: Si rectae Tanseni cujus inerementa sunc ut P L, F M, FH, Sc. hoc clt, uc = f _c. applicenur Ordi- naEX (in angulo inclinationi coneruO) cujus incremema sint itE FL, FM, FH, _c. hoc cst u S SC. Curra quae motui sic compotico convenit, ca est secundum quam censendum est Projectum moveri. 38. HIXC Curra (hactenus innominis) rocetur Linea Projectorum (uvore secundum quam Projecta moveri censenda crunt,) quae Parabolam, sed deforma tam, remuletur. Cujus Latus Rectum variabitur pro varia ratione f adt 30. Celericas e Fendencia (seu Directio) pro singulis Currae punctis, deter- minacur ticu recta Fansentis in illo puncto. 40. Maxi.