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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)
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C O N LC L 3.
PTOP. XXIV.
aividendo per p.) Cxit d f. = 2a) a F a u =a) = f2 a: e (auterendo utrin-
que af2, acque dividendo per = a) erie 2af = da= f
Denique ponendo DP idem punctum (ut eraneleat quanticas a adeoque e
dan) Crit 2af
=f2, hoc elt 2d = f. Quod ell iplum Lheorema quod investi-
sandum erat, quodque modo demonttrarimus.
Conterta PFOPOLITIONIS PTOBOLCA; HELIDC Larabola tansentem a S diametio
P A producta occursuram, e quam du ut aogemant rectam AF ipsi AP aequa-
Jem ex alelo lacis paue res ualrem tacile dednei Borest.
Acque ctiam; Rectam d L L aradorum in unieo puncto contingere.
Tiem, A eodem puncto F, atque ad easdem parces, rectam aliam quae P arabo
Jam contine at aut non posse.
D Parabolam in eodem puncto a non nisi unicam rectam contineere posse.
Adeoque In locum inter curvam a A rectamque contineentem o. F, aliam rectam
lineam cadere non posse. HOC elb prout cs alibi peculiari cractatu fusius de-
monstravi, Ansulum qui Contactus dicitur, este ansulum nullius maenicudinis,
sive non Aneulum.)
Verum cum ea non disticulcer caleulo demonstrari pottint (demonstracionibus
peaecedenti non absimilibus,) cgo, parcim ut cironibus quo se exerceane relinqua,
parrim ne aliis raedio sim, eis lixillacimr demonstrandis supersedeo.
P R O P. XXIV.
De Parabolae Diametris.
a puncto quoris a in ParabolX curra A an ducatur TCCLa A X Pa-
rallela diametro AP: Frit a x sic ducta eucm Calada chame-
ter; verricem habens an e Ordinati aualaslectae a Li (Pa
rabolam in vertice a Contis CHE) Pacallelas.
Libet hanc Propositionem primo Analreise examinare, deinde l ofelice
demonstrare.
Supponamus isitur rem ita eite ut perhibetur: adeoque pam O, Lecla
aF Parallelam; acque in n biscetam: Cirse recta OD, OD, a P, diametro AP,
ordinacim applicatae, adeoque inricem parallela; quibus etiam parallela ducatur
x D, quae isItur (proxeer parallelas) bilecabit (uc rectam OO, tic) Lcclan VL
Denique recta OO (produeta Si Opus) Occurrat diametrO A P (Talcem ploducta)
in C. (occurturam autem cercum et, cum iph parallela a F eidem diametto Oc-
curcatu puca in P, per pracedenem.) Fruuique (propree paralleho) 
=FC: et propterea PF = PC.