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# 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 405, page id 851387705:0425
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XFENLFORUM.
lXOI
P R OP. XCI.
Corollarium.
Teutu plana ex serre rectarum Primanis reciproce proportionatium con-
stando est interminabilis. Duod e similiter verum est de omnibus se-
riebus Reciprocis.
Cum enim primus cerminus in serie Primanorum sic o, primis cerminus in se-
rie reciproca erit e vel intinitus: (licut, in dirisione, s dirilor sic o, quotiens
erie intinitus.) Adeoque recta AS, et curra BB, non nisi post infinicam distan.
eiam (hoc est, nuINquaM,) COnCurrenE.
Parr racione neque concurrent (nili post intiniram diltanciam) eadem curra
BB et recta AD (quantumris vrraque ContinUCTUE;) non prius enim cranelcet
distancia DB quam lacta fuerir intinica recta DB. FL propterea
P ROP. XCTI.
Corollarium.
VOroa BB duas habet Asymptotas rectas Ad, AD. Duod C de aliis
lejusmodi Curvis rectarum series reciprocas terminantibus, verum est.
Nempe ita perpetuo proxius accedunt ad curram rectae, ue randem earum di-
stancia lic quaris alsignabili minor, (ue ex dictis Facile est probatu,) neque tamen
unguam concurrent, ut jam ostentum cst. Acque idem de aliis ejusmodi cur-
ris pariter octendi Pocerit.
P R, O P. XCTTI.
Corollarium.
 ectae (DB, DB, Cc.) Primanis reciproce proporiionales ab infinica
(Ad = ∞) continue decrescunt, (eadem ratione qua respectivae recta
DB, D B, in serie pimanorum a puncto. A = 0 contirue crescunt,) donec
pervenitur ad minimam, (sieut in Terie primanorum pervenitur ad maxi-
mam.) Duod verum est e in aliis seriebus reciprocis.
Patet, propter proporrionem reciprocam.
P ROP. XCIV.
Corollarium.
(N Pisura ADBB, e primanorum reciproeis). Paralleloeramma in-
scripla DB L= B, 8C. sunt invicem aequalia.
Frabene enim bales et alticudines reciprOCAS per PFOP. 88.
P R OP. XCV. 
Corollarium.
JL PEOPCerCa Ipsa Turva BB est Hyperbola; cujus centrum A, Asym
PCF PTOP. X2. lib. 2. APOIOHI.
P ROP. ZCV
Corollarium.
Prota AD, Ad.
T chorda musica AD varie dividatur in punctis DD, Bc. sonos edet
proportionales rectis DB, DB, B0.