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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 6, page id 85138403X:0022
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Fi8. T.
pla.
DE CFCLFDL
sump. L.F;) erit angulus nZ D partium 2 n -Z; qui si addatur
angulo ZPB, et urriusque aggresatum s. t n ex duobus rectis,
hoc est ex 2s, auteratur; manebir angutus Zn P PATEIU S = n
minor angulO Z P n. PartIum Su n Y F.
19. Sin iltiusmodi ficura cum Creloidi cum Circulo circum
Scribuntur; ecune lingula Cxcloidis Tcaperia, respectirorum
Circuli Triangulorum, minus quam cripla. Triansula siquidem
erune in utraque tigura aequalia; Parallelogramma minus quam
dupla Triansulorum; cum aeque alta (inE, sed super minore
base.
20. Nam, rerbi gracia, In Traperio C Or F, recta Lq, hoc
er F recta, hoc elt aECUS n C, minOr elELangenLC GC. VEUE
enim secanS L4, non d centro C, Ced ab oppolto diametri ter-
mino L ducatur, adeoque minor tE gC ouam Tangens vulgo
diCta qua reCt_ d G CCHTOF DeF RICUS Terinum n EPAnLeUHEL
OCCUETaE; eR ramen ipso arcun C major; Nam s intelligatur à
cenero C duei recta recta Fq Parallela; bisecabit illa eum Ar-
cum n C, cum restam qC; adeoque erir qC aequalis dua
bus Tansencibus Semiarcus, quas simul ipso decu majores esse
constat.
2T. Atque eodem fere modo octendetur, nr, hoc eAt NC
majorem esse quam est n2 curra, hoc elt recta Y C; ITCM ZV,
hoc est Z u majorem quam Z b curra, hoc eAt recta V u; e
in reliquis pariter. Ec quidem quo lonsius à puncto C recel
Cum est, eo insignior erit excestus.
Semicyelois 22. Ouoniam igitur figura sie circum feripea Semiercloidi
semicirent C Z A, auc iptus Parri C Z. (urrobique enim eodem modo
procedie demonstrario,) minor est quam cripla fgurae semicir-
culo CZF, aUE iPCIVS PArEI CZ, circum(CTIPEX, (quorcun
que Tuerint illic erapezia, hic criangula;) inseripea vero interi-
DEx majos quam cripla: Ec quidem augendo illic numerum
craperiorum, hic criangulorum, eo candem derenietur uerobi-
que, ut ditterencia figurae inseripeae d circum scripea mInOr sE
quavis altionaca, (adeoque in intinitum pracedendo evanelcat:
erune cum figurax lingulae quadrilinex (qualis BBE L) lngula
rum respectire sumprarum crilinearum (qualis b FZ,) tum om-
nes omnium, criplae. Fioc est, cum Semicrclois CZ A F. semi-
circuli C ZF, cum ictius seomentum B BC I. sectoris hujus b F2.
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