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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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LC a F 1
Fodem modo, aequationis , = 27r = = 20, radices sunt = = V 33 =Z
F2V 33 =33 +5.
Trem, a quaTIOnIS r = 27r = = 26, radices sInE, = Z V 105 = 2, FZV 705 F3
Sic, aequationis i = 27 r = =46, radices tunt = 2 VO =E, F2 V6 F F
Trem, aequationis 13 - 7 r = = 6, radices TUIRL F F, F2, =F 3.
Atque in aliis pariter. Non itaque, ex eo quod Analylis nos dueac aliquan-
do ad impostibile, concludendum protinus erit, ec casum else impostibilem: Sive.
(quod cancundem valet,) quod ostendic Analysis jurta unam aliquam suppositio-
nem impossibile esse, elle proprerea impossibile simpliciter.
Porro sub id ipsum rempus, quo Regulas illas duas inveniebam; De Angulo-
rum sectionibus (exercirii cauta) nonnulla commentatus cram. Aique iMlIC, I.
ter alia, ad Anguli Frisectionem has obterrabam agnationes; z R gA = AC
=RgC = 3RGF = FC = = 3R9Z = ZC; quarum Radices recevto aliquo
nocationis modo explicare trultra conacus, non apriorem ridebam modum illud
exprimendi; (Sed nec Carresius, quin ue postea reveri, candem sibi rem tractan-
dam propoluerat,) quam quod, Posito R circuli
ractio, recta C. circulo inscripta peripheriam totam in
duo seementa divideret, quorum unius trientem sub-
tenderet A, alterius F, (ejusdem aequationis duae
radices,) e radix terria Z, subtenderet torius peri-
pheriae trientem utrovis arcuum A vel P auctum,
(nam e hujus arceus triplum subtendit C:) Pa
tamen lese, ut ubi A, F, sunt quantitates affirma-
tivae, tertia Z. sit utrique simul aequalis, sed neea-
tive interpretanda: ubi autem Z affurmariva, ibi
  necativae. (Ouippe illud ubique obtinet,
in xequationibus cujuleunque gractus; si ommino
desit porestas supremae proxima, radices omnes altirmativae simul CumpEx, nega
riris omnibus limul Cumpris, neglectis lignis, aequales crunt, sire radices illa rea-
les Cine lire Caltem imaginariae; adeoque serraris lignis, se mutuo destruune:
unde tuc quod porestas illa Cupremae proxima, cujus coetticiens se uper elt radi-
cum simul omnium mutaris lignis, aggresarum; hoc calu, propter radices attir-
matiras et negatiras se mutuo perimenres, prorlus excidat.) Puca Aequationis
hujus 3RgF. = L c= RgC, ret L C - 3RgL. = - RgC: expONItuT ra-
dix, L, de cribus radicibus puta L A, + H, ec - Z = - A = F. HIujuS an-
cem + L, C = 3RgL = RgC, rel F 3RgL = LC= = R9Cy radix L, de
aribus radicibus exponetur = A, = F, + Z = + A + P. Aique hanc RCgu-
lam terciam jam appellabimus.
Duo Pacto ad hanc regIIlam DErVENETaM, nOn OpuS est ut jam ostendam;
quipre longius illud ester quam uc hie commode inseracur, quodque alibi Forlan
aliquando lumus demonltraturi.
Incerim; si ad hanc regulam exigatur hujusnodi aquatio, 33 - 27r = = 44
hoc cst, inquam, L C - ZRgF = F R gC. Drit criens coefticientis 23=
5
RG, ergO 3 = R. Trem quia 44 = R gC, erir a3 = C. Scribatur itaque cir-
culus cujus radius R = 3, eique aptetur recta C. = 13, peripheriam diximens in
duo scomenta; quorum majoris exienci subtendar A, minoris trienci P, acque
tiis limul aequalis sumatuE Z. EEunE, per expolicam Regulam, Aquationis ex.
Dolita radices = Zy F A, FF.
 = 27r
40
== R9
9) 44 (43 = C, TIIDLEMIA ArCUS ExIPLI.
L.C = 3HGL 4 C
= 5 - 1.
FA, FE, =Z, (subcensae cimpli) radices
F 4 = Y 25 =2, =Y25 +2
Et eodem modo, A.quationes r3 - - 37 r-
46, 1 = 7r = =6, aliaque innumera, solri poltunc per crisectionem accus.
Verum
10.