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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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PFODZXVIII. De Calculo Contri Cr avitatis.
L L, (18. 200. arichmerice proportionales,) aequalis semissi arcuS POF: Sec LH
CAeHE iP (a MT, adeoque Z T, uc illarum Ouadraca (aeu  pllCata rationC an- 200,2
sulorum DM Y,) hoc cA, ut series Sccundanorum; eset MB = = POF: Si il
Deries Lertianorum; esset M B = = PO.   alto Glactoto, Bout eusuique
ratio postularerie; per prOP. T. hujus. (Duod in Srithmetica Infinitorum, DrOP. 5.
et sequentibus, Fulius ostendimus.) Acque hinc est, quod dum, in complemento
considerando, reputamus omnes OO,  , r aesaleo. It Lalabola-
Pen ParaDIocide, repuTamUS iPCaS _ p PCu Z Y rectas; hoC e I SpITaII aicUS
RT; Concinue crescentes, in rarione iptarum mT, seu M L, rectarum. Oux
cunque entu ucle ipsaru LL etea, modo sacta sit angulus Lm L
Jeu Z M L, Cademque Radu M eu  consiudo; eadem ubique crit iptius
r seu OO censicudo. Tancundem urique TunE Frianguta LI L, =M X, aL.
199.
que Sectores L ML C, M O, Tespectire lumpri; per +2 hujus. Oux aliquanco
fulius explicanda pucabam, quo clarius percipiantur omnia.
19. 20
MT, Mt L: ScuM P, MD; MM Coram rarione Duplicata; Ceu, ue Peries Se-
cundanorum: manitectum elu Aleus PP, PY, Periem esse Fertianorum (uno
oradu altiorem quam elt Series radiorum MD, M D, ) urpore quorum rationes com
Donuntur ex rationibus radiorum MP (quae est Series Sccundanorum,) et aporto.
TuM PMY (quae est Series, PrimanOrum) respectire sUMPTOrUI. PUTA, ut reCtX
drata axichunlc. Proportionaltuu; Otutauum applicarae DP, DP, ut Tertiana.
Scu arithmetice proportionalium Cubi: Adeoque in Diametrorum ratione Subdu-
bolocideos M P F P Fig. 204. erit Complementum illud Spiralis M T F P, ad Se
ctorem conterminum PM F; ut Z ad Z; seu 4 ad 5: Ft consequenter (quod roli-
quum etb) Figura Spiralis M P F M, ad eundem Sectorem, un 1 ad 5. (Quod
RXXX X
Etiam
a
Eodem plane modo; s intelligatur Spiralis M Y P F (9, 203. ita construi. pt
Tumpris angulis PM T, PMT, arichmetice proporcionalibus, (ut prius;) ractii
DT, pT, H8. 204. diametro M P ordinarim applicatae, in parabolocidis comple
mento MCF. Cujus quidem dan MB  B u oeata IV Clla-
plicatae. Triplicara. Oux iraque, l aegualbus letalo lumerentur (non; uti
nunc sunE, prOxIeE NIV, MD, in ratione secundanorum;) hoc est, ue ordinarim.
applicatae ad diamerros Mp arichmec oales, se Les CHM Incirem Ba-
bens 3. Ouarum itaque racio, ad maximam cocies sumpram; hoc est, ratio com-
plementi M P F P ad Parallelogrammum circum seriprum MI B F D: ut F ad 3 F +
3. Icu de 2 ad5. Llt aurem Scclot LM L 1G. 203. au ileu Parallelooram.
mum, uc F ad 2: (aequatur enim Sectot, ul  Ct SCMII rectanons quod Il.
lius Radio et Areu comprehenatu.) m su (BCOpteF LnguIOS aielo P L,
MP;) Complementum Spiralis M PP P H8. 203. aequale sic Complemento P’ara-
lingulis recls pP respectire sumpi aguases, es casuem acrobione alticudinem