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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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D0
et
Prop. LII. S Cuam canir ravitatis
Cunque tum BB, C C, D d, dc. (similes arbus) Sineradiis suis XB, ZC, Z D.
proporcionales rectae BB, Cn, Dd: eruni ha rectae arcubus illis proportionales:
Sin Conrertionis aris Z, LecLISALALI LIICAHIVe COn-
vertendam: limiliter oltendece, Segmencum LFII.
XDS, seomento facti ex Conrectione ZD d; e re
liquum ZBB, reliquo XBV. 2u dilterencia dit.
ferencia aequalis; FF ucrario (per demonstrata ad
PrOP. PracCd. ) ipLi Prilmatico (Sorido, vel Superticici,)
BDr  2. Duod icidem crac demonstratetiim.
BB
PBB PB
PBB, vel B~. Dempe quole   B vel B, in
P ducto.
Tem; daca magnicudine Factae exposita convertio. 1
BBDEBBCC
B) PB(P
ab axc convertionis.
P) PBB(BB
P)PB (B
per P dirito, emersit.
Denigue; Bisectis D a in M e DS in ; ductisque per conrectionis adent vel C.
AdEOgUO, PFOPteE Cn ipSI Cic aequase Del Conttructionem; crunc ee reliquae re
liquis, aequales; et omnes omnibus: (Ce, BD ab figura (lire solida sive su-
perticiaria convertione tacta ). ip B Frulto; adcoque e (per Praeceden-
tem) ipsi B Dr n 3 figura Prilmacia lper candem vel aequalem balin Alcitudi-
Sc. proportionales; tum (proxeer limilla ( atSa) s LB, AC, XD, ec
nem habenci Cin, ipti Cc aequalem. Ouod erac demonstrandum.
magnicudine quae sic B B, vel B; atque
Ceneri graritatis C, ab X convertionis
axc, diltantia; adeoque ee peripheria
CC longirudine, quae sIFP: datuIT Cx
potita convertione tactae magnitudo
Llague; Dacatiura Planx lineaere exposica (BCD)
B
F
nC; puta P BB, vel P B; ipsaque conrertae magnitudine BB,
vel B: datur arcus (speche expolici) lonsiudo ~: (nempe
quod ex P B B vel D B, Per B P vel Pdirio emersit) adeoque
et radii quo deseribitur: quae eMt dStaMia CONCTI BraVILALS C.
Iem: data P BB vel  B magnicudine tieura convertione F
factae; _ distancia ceneri praricaris convensa a conrextionis axc;
adeoque de quae ab hoc delcribicur Peripheria Z; Datur conver-
exe magnicudo PP vel  Nempe, quod ex PBB, Vet LB,
Ongulae aciem X, planis Z BI, X a: Firime, ip illo, Contra 13
avitatis liveri
et
arcuum ut Bh, Dd, convertione factorum: in doo, rectarum lingularum ne, B B l43, 144
Ds ungulam constimentium, (per 2 8 3 hujus:) Adeoque in illo aFCuI CO. -43, 140.
mune omnium, (hoc etC, Superticiei vel Loliat COnVeKtONE TaCI;) I HOC, Com
Ex Plana (lincare I plano) circa rectam in eodem plano deseripram: Salrem Fis. 148.
Icta iplam non lecet.
Fxempli SCalta. SIt A DB semiparabola; cujus maeniindo ad maenicudinem L.
PEEE3
Darallelo.
din
1FIS. 142
mune omnica rectarum, hee ngula Supersscialis La e,) cencrii star
catis: Fe 2, Bap. Plaled. Ia Cla  ALaHIa.
Aeque hinc constat generalis Methodus exhibendi Solidum conrertione figu. H.