# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0682 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0682?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 658, page id 851708439:0682 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=682 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000682.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.87 # 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. la AL N G u 10 ia. 121. in 21, c9tI31, a 161II42; Sam Peraste 1tI 31, 4tI31, 8rl3h101 in 3F. etionem) qui sic vel aequabilis; vel inaeguabilis, sed secundum aliam ACceleratO- etum est: pariter incellisendum elt, procujulque calus exipenca, de iribus plust. busre ita COLMPOMHS. Si VeTOMOTS Ile ACCeLETALIS, COIMPOHACI CUM AHO (RCCHTaCI CaLiCCI aLC. nis aut Recardationis Formam; aut qui lumat accelerationis inicium (quali d ni hilo) in alio puncto quam C, unde prior ille mocus accelerationis inirium Cump. Tisse TUPBOnITE: NIOCIIS COMIPOMCAS CaHACI AaMIIC TCMIMCOTE rectam, (nihil enim est ouo inde divertatur,) sed nec eandem celeritaten, Hec canseem accelerationis tormam: led ita rariacam ucramque, ue mocus illi componences poltulaverin. Quodque de duobus mocibus, lecundum eandem directionem, lic compotts Caodsi in mocibus compoticis, Dircetio unius componencium HE irecle co Tum: ) Linea mocus eadem erie; led Ccetales de Aecelerationum Forma, ita ra- riabuncur uc mocuum componentim Lactones Bolaret. Si motus componentes non sinc secundum unam eandemque lineam Directionis omnes; sed secundum rectas se mutuo intersecantes; Linea motus compose eI nulla illarum: Sed alia aliqua, recta auc curra; prouc Componche Directiones e Celeritares poltulaverint. cibus aque velox:) linca compotui mocus crit licelasre agates C Iaqualco incer les componch celeriates. traria directioni alterius, pula altes a C ad Ddeorlum, alcerius a Dad C LuI- Si duo componences sint requabiles amho, ( hoc elt, ucerque in lingulis Cui par- cancundem terecur Tursum ad F C: cumgne prorlum perventur ad BD, tancun- dem Curtum pervenietur ad CD; e sic ubigue. Rc Conlequenter (PTOPIEE A LL3 ABD, criangula similia, upore rectansula aequierura,) semper exic in AD diasd. nio quadrati. Sin Angulus C A B (quo lineae directionum cocunc) tir Obliguus; aur celeri cates Inaequales, Duta, alLETA UE ZC, AILCTA UE ZC: FrUNE adhuC (proprer angulOS ad F e B aequales, e crura proporcionalia,) criangula A E P, ABD, Timili2. L.F consequenter, mocus adhue eric in A D diagonio P’arallelogrammi. Lio, limocus illi neque st ad ansulos seclos conlicu, nec aque celeres; nec etiam aequabilis ncerque; si tamen line Similares, (hoc elt, B eadem Sic in V- erisque torma accelerationis aue retardationis; puca, in racione numerorum qua- draticorum utraque, ee limilicer ordiens,) moins Compoticus erie adhuc in Linca Recta, (nimirum, in eadem diaxonali A D,) ee Celericas limilaris (Ted nOn aqua- lis) urrivis componentium. Nam AE F, A BD, crunc adhue Similia Friangula; propeer lateta pouu a conceMlos ansulos aequales. Sccli componentes molus lunc viltimilares, (quienigue angulus ad A,) linea mocus Compolici erit Curra. Exempli gracia; Si mocus prortum, ab A ad B, sic Ai quatils, (quocunque era. du celericaris,) mous dver ab A de C, aguatiter crelcens, ur in ratione numerorum Guadratieorum, (qualis repucari solet Delcenus Grarium,) linea COMPOTIE MOCS A F D erit Parabola. Acque calis repucari solec (Proxime) nO. tus Grarium Projectorum, (Duta, Gilobi ex Bombarda projecti,) compolicus ex motu à projicienie imprello, (qui repucatur aequabilis,) mocuque nacurali Grari- um Delcendencium (qui sepucari tolet aqualirer acceteraTUIS,) adeOque MOTUS Composicus Tugne C: AB angulus rectus: Manifectum ell, quod, dum prorlum sertur ad P P, Exempli pratia. Si punctum A, Ferri suxponatur (pro duplici impul(u) PFOE- Tum versus B, ec Furlum vertus C, Mocouque c aquabilibus, cum aequalibus;