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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 79, page id 85138403X:0087
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e
LC 1o 1
ICd 2 4II 5 ad 2 a) 15 F oIy, Sed 2 a1I s est currx Forrio al 2, de
2 d S +Oly est o1 gI: est ergO UE 2 AD ad 2 AD F AO
ica POrciO a’I a ad ol gI. Quare omnes 0e Cimul CumPEX CUnE
aequales duplo A D F A O ee unaquae que o s elt in eadem ratione
ad portionem Cuam aa; e omnis a0, ad luum in a primarixe, hoc
est, TInE AO UE CinuS recti angulorum Cuorum C mo ad Radium
A O. QUaTe SI PONitUT rect+ P Y equalis duplo A D pIuS AO,
eigue ad rectos angulos P O aequalis ipti AO, & tiane Pa, P a 11
Pa. Imus complemenei aequalium angulorum ad Radium PT,
e ducantur eam a co, eorundem linus recti ad Radium P, quam
2 co ipsi P T vbique parallela CE junGANTUE co co; PaTeE ex IIS
quae dicta sunc ip(as g a aquales esse iplus 80 lingulxe lingulis, et
iplaS a co ipHS d O, Quare iplae etiam y co x quales erunc iplis 80, et
8. LX vul-
saribus autem Fllipseos principiis pacet Figuram T0 )P esse
Polygonum quadranci Ellipleos inscriptum; ergo Polrgonum La-
cerum indetinice minimorum quadranci Ellipseos infcripeum,
aeguale est Polygono Semicycloidi contractae inscriprum: Ergo
Crcloidis contracta curva C OOM, aequalis est semiellipsi cujus
Axis transversus est duplum AD plus AO, e Axis minor AO.
Eodem modo du st2 e1 X parallela ipsIS mII S, demOnCTACUEUE
2 A D ad 2AD in AF, ica esse 2 2 54d 2 a1) 5 - d’X (Bive ad
e1 d) quare procedendo uc supra demonstratur curram C veloidis
Procracta aqualem esse semielliphi cujus aris eransvertus est du-
DlUI A D MInuS A E, _C AXIS MINOE AF.
Scholium.
DACeC FiguraM COZM Y a, Curvis Primaria ec C ontraStX
L cerminaram, esse meram lemiellipln in arcum Aexam ica ut
aris cranversus applicetur Crcloidi Primariae a parte conVexa:
e Figuram C a YMZ C, Curvis Primaria X Protractae termI-
nacam, esse semielliplm, cujus Aris tran(versus applicatur, PrI
mariae a parte Concara; hujus aurem aris proporrionaliter pro-
crahitur, manente Currxe Ellipricae dimensione licet recurvetur,
Illius aucem proporcionaliter contrahitur monenre Curra, licee
MAOIS CUEVCEUF. Pacet etiam ipTaS Od, _ d C esse meras F Ilipsecon
Ordinatas. Quare non estver accidens, WE Claristimo Deronvilio Epist, ad
placuit, quod Curra Primariae sic rectae aequalis, ex eo quod Currx Fueem
obliquarum sinc FIlipsibus aeguales; sed e conera Currae Obliqua-
TUN
8. P