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# 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)
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A L G F B R A
Cap. XCVII.
Clarissimo Doctissimoque Viro, D. Joanni Bertet, Parisis.
Clale Vir.
OLonla, OCl. 19. 1072.
Vod meam Infinitorum Arichmeticam tanti aestimaveris, eratias habeo.
Literas tuas quod attinet (Decemb. P. Pentisarae datas;) Parabolas qui-
dem eeo, Paraboloeides, aliasque ad eandem familiam spectantes Fisuras
concipio (in srithm. Infin.) tanquam (parallelis) sectas in parces aque altas.
Non quod alias sectiones respuerim (nam e alias passim adhibeo) se d hane ut sim-
Plieissimamt eleserim. Adeoque Preurae partes habeam (nempe Paralle toeramma in-
terjecta) ipsis (quibus adjacent) Ordinatis propertionales: Ot non sit opus, pro.
pter Aticuamum considerationem (cum sit in omnibus eadem) caleula perplexio-
Ft Quidem s
nmino faciendum esset, si Atitudines sumerentur inae qualeS
Indic
-3. c
rem reddere; quod
que surdus, ut Y 2. e~c. perinde est: quod monmmus ad
Eve numerus utcun.
Cnsn. PFOP. C
Et
verteris.
Velmipe semper, posito Zudice, tet tun tu hatitet d Eteero, Fracto, Seur-
drveu aut Nesalivo;) erit tota series  vet correspondentis seriei aequa-
lium; seu, in hoc casi, Paralle toerammi Cireum sorixri (Si Index seu Fxponens sit
Affirmativns,) vel (Si ecations) Inscripti.
Farumque ad invisem raiiones nullo negolio obtinentur: Nempe ut. ad
sivent c = F ad 5. = Z; quisunque fuerint S,  numeri, (Enteeri, Fracti, Sur-
dive, aut Negativi.
Sed e porro advertendum erit: Mle non de Fieuris rantum (nedum sie ad Avem
positis,) Sed de omne genus duantitatibus indiscriminatim, (pata, Lineis, Supetsi
crebus, Solidis, Rectis, Flanis, Curvis, Ponderibus, Momentis. Temporibus, Cele-
ricatibus, _cc.) tractationem illam instituisse; quibus omnibus, pro re nata, series
illa pariter accommodandae crunt. Adeoque nulla erat mihii, iu Propositionibus se-
neralibus, vel Aris, vel Sectionum Axis, facienda mentio.
duod si secrissem Arem Fisaratum carundem in alia proportione, puta, ut partes
ecc. hmetice Proportionales: adeoque
PPrOP. T. 28, 8 alibi. Orut ru id force non animad
De Mota Cap. 5. det. 1, 2
Ais essent, verbi eratim dt 17 3,
distantiae a vertice ut X, 43 3, 10, _c. Serues Decundanorum, ( ut Parabolam specia-
im Sectam videas, Arith. Infin. PCOP. 243 56,33350; e de Curvarum Fduses
rum series admodum ab illo naus celis diversae, e masis composica.
33 de Motu Cap. 5. Prop. 28. Cap. 10. PF. 7, 8, Cap. 25. PL. T.  alibi
F18. 24
idemque eeneratiter moneo ad Def. C ap. 4. de Motu.) Forent earundem Fieura-
uta 2n
2eulo,
ter. 2
um Laritudines (ut dis
verlise) in verie Secindanorum; e Alcitudines Cut quadratorum differentias.
ias