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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 253, page id 851387705:0273
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D E D F C ACF 10.
ridem LacSg = = 3d = DD. DUTa, S LINE FdusCCS Y, uL I exemplo PHmO,
Peac in negaciram. Puca, quocies punetum D, elt. infra (i, Led Tupra P.)
Vim (eut dain iata . L al Da LL BF   V 3M,
Fa rangens,) et AC =  = B (deortum quidem si fic. F. _, Surtum vero si  n:)
ducatur per G recta, cansenti F a parallela, occurrens curra in puncto (uno,
auc pluribus, pront contiserit,) O; dueta ordinarim auolicata OD. determinabie
aequationis radicem D = r; _ gu S OCcurSuS punCta O pluraSinE, Woeidem
crunt _ puncta D, adeoque Aquarionis cocidem radices postibiles; ZHhrIaLIVX
quae deortum, negatirae quae surtum, rendunE.
TCM) d. d: : + p
a interius) A P
a+8 q (nam 4 superius inquirimus;) adeoque = Aa =
Pa. C = p3. erxo, propier analosiam indieacam, d. -- d 5. + g. . p.. =
== ABC.
Ep = aB. ubi a B est quancicgs negatira, sicuc ip la 3 a = 9, quipre
Qmajor est, hoc catu, quam 3 a.) ejusque cutus 27
=aBc =
519.
=27 a9 + 0dg =q
27 a28  27 a 9. L10CCII g. = 9d9 + 54a g =  2
+ 5443. Ouae
Tubstiuendo r. F 3 d =g: redueicur ad aequarionem hanc r3. f 27 d:
5447. Nam
= 27 d
+3aY10) Za + 2d, = 3ave  et  londemradices q; F 3 d. V 105
33d, = 2 d, -, 3a VY 105 = 3: d. Ec limilicer in religuis. Vhi, interim nocan-
dum elt, quod hac subductione tieri porest, uc quae fuerat radix actirshatira tran-
Adeoque hujulce aquaTIOnIS calus omnes Lotas  cadem opera, hu-
julmodi eltera ove, ethodum oltendimus aGaoeoas hujulce torma
omnes r =mr = =n, Geometrice Colvendi. Nemps sumpra diameiro a AP
Tandem, ut tocum aliquando abfolramus hesorium; Ouoniam jam Facta est
adeoque e punctorum diamerri qua III LOIVOMICaHO. LIDCLL CAM ACII alGa-
E diamelt LCus deortum, pura a P dieatut du turtum erie = L: adeoque LICeE
Lica. d:: p. p. nON LaEN (SUPEIS OTALMALMI aPIKacS M Corariam pas-
d
a Bc. Sca AL. =- A A..
Ais aucem contideratis; eadem mechoco qua ult sctticto (Mlicalio Mllasto)
menrio puncti B, aliorum que similium, in curra B A, etiam Tursum concinuanda;
renuS inCuETI. Diximiisjam supra; SI P a dexirortum sc  p, ejutmodi recta A.
nistrortum erit  p; adeoque uc illius Chous Y D, Sic hujus L p3; _ propterea.
RcC, non caltl (quoad periuS) AP. AA:: P a c.
(Cd f d. - d.: f p3~SCp3.V FToC elt, LceE RE (quoad
C. ABC.
ad prop. 47. Con. Scct. rem ad aequationem perducemus. Nemipe AP = d. AA =
Sed etiam CAtF P. P a:: 8L. LB.   OACHAHIT,) 34. p:: 34
1
Adeoque (Facta reductione) 27 43 - 27 d29 
3 F 9dr2 = 2742r
43=
Dar =-544= r - 8+a3=
+54 a2r + 16.
+27 der + 208
7
d3
=27d8 + 54d
 a =27 d 8 = 5443
Atque idem plane eveniet, si punctum B EuetI L CUIEYX AB CONCINVaHONC
Cursum ulira verricem A, (nam, ne nunc ordinatim applicata negatira, nempe
finistrortum, applicatur diametro altirmarira, puca deortum: iia casu ilto, Or-
dinacim applicata altirmacira, hoc elt dexcrortum, applicabitur diametro nesa-
Tira, puca Turtum; applicabitur e upra Vetle N: adeoque urrobique mu
dnterimuter Tuble clne n B 6 a.  et MC EVambllad atmatia Cacot.
tum
randa exUnE diaMCERI A A SHa, _ aaBZIa rITO iMILIEaLT:) Cum hOC H