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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)
# Folio 298, page id 851708439:0322
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3
A L G E B R A.
Cap. L. XXL.
Elas omnes ille construie, ope uniex alicujus Parabola; cujus ParametC
(seu latus rectum) Ari CoMrCH appellat L. = Z; (eo Fine ut potestates
omnes iptins Y, pullam inter operandum creent molestiam;) axisque verticem
conlticuit a. Sed A, verricem Diametri cujulris (sire axis lit sire alia quaeris)
quam AD appellac, quam speciarim achibet prouc expolica aequatio postulat.
Parabolam hane secar aut tansit Circulus (cujus centrum FI) in tocidem
punctis quor sunt aequationis exposiiae Radices Reales (non imaginariae,) quas
detienane coridem Rectae a Sectionis seu Conractus punctis in AD perpendi
cutares.
Diametrum AD sic determinat. Inscribatur Parabolae, ad angulos axi rectos,
B A. = Z p; cujus punctum A (ad dextram nostram) cst. Vertex diametri AD,
axi parallelae. (Hloc est, diametrum illam altumit, cujus ab axe distantia (IE Z P,
seu = pL: Ouod aequiralet Carrelianx abjectioni secundi termini.) Adeoque 11
=o; hoc est, li secundus terminus desir, (qui Cartesir casus est, post abjectum
liquis erat secundum terminum;) diameter A D cum axe coincidit (punctis B A
cum ipso a coincidencibus, cranelcenre distancia;) sin aesic p, alia est ab axe
diameter AD.
In hac diametro, determinatur punctum D, per rectae AD longitudinem; &
(in recta huic perpendiculari) punctum FI (cenerum quaeticum) per longicu
dineme rectae D H; lecundum (quam rocat) Resulam centralem. Nimirum,
esis
5.
 2. P + e + 22
6l3
+L
d =DHL.
In cujus Regula PriOrE Parre; L signitieat Deorsum ab A; _ =, Sarsum
Adeoque D est in AD (prorracta li opus) intra vel supra punetum A, prout
magnicudines notatae sgno F, aut Ggno =, majores fuerint.
In posteriore parte; + signiticat vertus linistram noltram; e -, vertus dex-
cram. Adeoque HI est sinistrortum ret suistrortum ab A D, prouc magnicudines
AAtirmacirae auc Negacirae praeralene.
lol