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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 624, page id 1815201908:0681
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111I
24
applicentur: quod posse fieri de quanis hyperbola, superiore proposicione est demonstratum. quo-
circa satis existimo esse manifestum qua ratione daram hyperbolam cum quauis alia quis con-
ferre valear, eadem scilicet praxi viendo, qua cum ellipsibus hanc comparationem institueret.
cum ipso circulo, pluribus non existimo me eamrem inculeare debere, praeserrim cum illiqui.
bus de materia hac dubium remanserit, sola praxi quam proposuimus sibi facturi sint saris.
11, 5515 1. CC
Aex EyperboIx SiMe ACTAM construere qua dacum habeat
Construclio ex demonstratio.
C ABC hypertora, et recta data P B, ovor.
cecad F F hyperbolam poncre, limilem date
ABC: Cc AB C hsperbolX axis AD ad quam
ordinauum applicemur BN, Raneque re D Aad
AN, sC FF ad LiHI, _ ex FI normales eri-
Bantur HO, proporcionales BN a paTCEF CC
uncta esse ad hyperbolam similem ABC, 8
F F eiuldem esscaxem; dacx igicur hyperbola,
FTY D ER B OEIA.
sorriuneur proporrionem, quae inter quadal D L. Capersit. dummodo ad eamdem diametrum
PR OPOSITIO CLXXVIII
axem aea.
eec. Ouoderartaciendum.
EOPOSIITO CLAALA
IIdem manentibus figuris, propolicum
Eie dare hiyperbolae similem exhibere.
Cuper daca recta.
Constructioes demonstratio.
Scholion
racedent.
petOOladaTASE A BL: RECtA VeTO daTA SIE OK, ODOTECEMIDeF OK Ayperbo
lam consticuere similem hyperbola B AL. Tlyperbola BA F axis ponatur
D A _ ad iMum ordinacim linea CTL; dinicaque bitactam in et liner O r crigatur
ex M normaliS ad IC, LInCA MIE, DE OM SE ad MIR; Sicuc E PAd FD: Cum RM
secetur in F _ II, icur ID secta est in A ex C. AREGS VE F MI E FectanoUuM d
quadrarum OM, Sic F HIF rectangulum al quadracum GFT, PacCC OC FK ese
ade3DEDBdai d tedlaB d t d ded t B  (EBE su huA. AMIE
   i e s te t    se et a  ti de   e  ti  e i t   sa et  e  s t t  ste e it t  tet e te te e t    ste     te