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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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DE SECTIONTBUS
Prop. VII.
ciphra, erit e quanticas producta o ciphra:) adeoque ParabOla PrOAHEL HIUIIUS
lacicudinis, hoc est, linea recta, terminata quidem ex palle a vet V, mmica relo
ex parte P, vel O: (coincident enim puncta l, O, Propier Muicalem BruMac
applicatarum PO, vel DO.) Lodem modo li acletioenua IL CllipliS; Polito
puncto A itt V, (ubicunque in crure VS luppONACL a) Propet comclentiam
punctorumt A, V, coincident eriam rectae A a, Va: lucogue cratelcentibus re.
etis DS, eranescent eriam BO; eritque propterca llipls Ms Lacello
hoc est linea recta, urrinque quidem, terminata; (saltem n _ puncluM a IM
cruris VS puncto Valtisnetur; quo calu, propter coincidentiam punctorum A, a,
recta illa degenerabit in unicum punctum.) Pari modo, A delcribenaa CHet LIy-
CollIsI POTETIE, interum IdCu LallS Patet CX celiS PFOD. 6.) Saltem nili recta
erus utrumque V B, VS, Colen Dteto V, iccabit; alleoque canlverta diame.
Derbola; polico, uc prius, puncto A in V, (ubicunque altionetur II,) recta HIA 2
tex A a (propter coincidentiam punctorum A, a, V,) cranelcet; adeoque HLy
verbola in Triangulum aeselctablt, (ut ea spetora aoita Boltea tractenda
a I coulque recedat a crure VS, ut ipsi V B coincidat; quo calu. (live a
allignetur in verrice V, sive ubiris alias in crure VB,) cranescent rectae DB.
adeoque e DO; e pro Friangulo vel criam Fyperbola OVO vel O AO,
prodibir linea recta, ex iuna quidem parce cerminata, ex reliqua vero in.
Finitar
e lO F. VAT.
De Parabolan Sectione Coni facta.
N Larabola, Ouadrala Ordinatim applicatarum sunt interceptis
Diametris proportionalia.
dtala Ml Bcanacum applicacarum Lu. , a. ilat tC
etis, PB, DB, _c. (in triangulo APB parallelis) proportionalia,
(adeoque _ interceptis Diametris, hoc est, diametrorum sexmentis
inter