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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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CiUR VA R UM FVDuOOIS
Parabo. Idem similicer in aliis non paucis Parabolocidum generibus obtinebieur. Verbi
socidum Sratia. Sunto ordinatim applicatae do = A c, in diametrorum ratione subquintupli-
aliarum cata quadruplicata. Ft propterea dE ad, dA, ut 5 ad 4: eIS ad E A, WE 4. dd 5.
Curva. SumpiIS AC AC, arichmerice proportionalibus, quae dicaneur p, carum que com-
muinis exceltius A = cE, diumetee d A = d = Y .l = p Y. E. Pric cangens
V: 2p 2 + p~ Y E: = pY: V f V=: Tem, UE C5 = 3P, ad 03: sic b 0 =
21 = , ad Oc = AV: F F 26V =. ErBO, ut omnes A, ad Omnes AV: Y
t2BV E: hoc est, ve cocidem L, ad roridem V: L. + B L YB L: IiC A F rectam
ad curram AO. Nempe, ut Parallelorammum, ad tigurae cruneum, cujus ordi-
narim applicatae sine V: L. 2 + 25L. V P L. Similicer: Si essene ordinarim applicata
in diametrorum ratione subsepcupticata sexruplicata, aur subnoncupticata octupli-
cata, ec. in intinitum: Ouas omnes pariter cuduvseuos capaces recte asserie Feu.
FaTIUS. (FIx durem omnes, a Parabolocide Biguadraticali, Bieutricali, Priguadrati-
cali, caeterisque quarum poreltares d numero pari denominantur, eodem plane
modo derirantur, quo supra, ab ipsa Parabola, Semicubicalis: Si enim intellisatur
ADP f3. 25. Parabolocides Biquadraticalis, ret Bicubicalis, 8c. adeoque dp, uc
V dF3, Vod L, 8C; erit d0, ut d V a d L, 3, dV d L.3, 8c. hoc clt, ut
Y, V - Bc.
Eo duvoros autem eas capaces, (ne gratis dictum videatur) paucis ollendemus. Po.
namus aurem (quia generarim asendum est) n numerum pocestatum quemris, ee
m = n F L, I = n =- T, _5 = = Z n. C u = 2 i. F.lo autem curra rectiticanda AO
(H5. 28. rel 36.) parabola rel parabo locides quaeris quae ina constinarur uc dovet
ACLic p = Vm a L, adeoque Ad vel 10, d = Y n = = V P LI: PonamuS
item (quo tractiones ritentur) ut n adm, sic R ad L. Inrenietur, eodem procesii quo
nuper, H8. 36. (proxter d A ad dt, Cire 1S ad cA, uen ad m; quod unirersaliter de-
monstrarimus ad prop. 23, 45. 4.0. Con. Sect.) c1, ad00 vel oc, ut R ad V: R2 L V
pLi: Adeoque, siponacur tis. 28. AK = R, C Ln = V: R + V. PLI: FrIL UE PAK
rectangulum ad T A Kn quadrilincum; sic recta AY, ad AO CurVaM. AEqUE
hoc quidem unirersalirer, live sit n numerus par, sire impar, lire etiam tractus.
Ouories autem n elt numerus par; crilineum R n s Cadeoque P ARu quadriti
neum,) quadrari polle, (adcoque et AO rectiticari) lic oltendimus.
Ponamus K d’quorlibet aequaliter crescentes, quae ligillarim dicaneur a ( qua-
rum maxima sit a:) quibus respondeane tocidem s’n crilineum Ln s complentes.
FIt autem a (= En E AK) = V: R3 - F V. pZI: = R; adeoque a + R = V: K
V.P Li: Eta= + 2a R F R= k2 + v. p Li; e a2 + 2 a R = V. p L2; Cv-
suS aquatIONIS utraque pars mulciplicata secundum exisentiam porettais sin dat
5. a + 2a K: = p si: adeoque d. a + 2 ab = p = A C = d n, quae omnes
complent K u S irilineum: quod itaque (quantacunque sic Dorestas S numero in-
regro delignanda) Quadrari Poterit. F. 180 C.
Exempli gracia. Si 5 =2 (quadtracum delignans) ad eo que n = 4 2 = 3, 
k = 3L: eeit 5 a + 2 a R: a + 4 a k + 4a
circumteripcum Parallelogrammum; ut-
L
4F
: Adeoque Lrilineum ac
13DF~; Ere, 1t 3 27 L A3 R + Z a R ad L V D)
3L
 a L=
Si 5 = 3, adeoque n = 6, 8 1 = 5, _ R = GL: FrIC S: a 2 = 2 aR: = a
6aR F 12a3 R + 8 a R3: Adeoque Frilineum ad circum seripium Paralle.
loorammum ut hA. A A3 K + 53 D + R2 + 243 H3, ad L3V) D L 8. Et in reli-
quis similiee. 
Sin n = 2, adeoque cum S, cum i, = +, potestatem primam designans, mulri-
Dlicatione
564