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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)
# Folio 989, page id 851387705:1009
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De Cochlea.
Si Cochlea Lterior (quam Foeminam rocant) ita Interiori (seu Maxi
contornis sit, ut pars parti apte respondeat, (hujus Pminentiis illius
Carilatibus congruentibus, et contra;) per Tixteriorem permanen
TCM, IMLCTIOE TOTa LabCTUT; (Parcibus sequentibus in peaecedentium
Prop. II
tem propelletur lixceptet.
Dsiicaram, _ GusoeM MCL) SPeCS CDCHTCAII (SIVe IHLHOT sIVC F xrerior)
vel eciam ipla Coessealtoao e a il ( Det del. L. Cap. 4.) ex Hleicius
loca continue succedencibus: ) aucctiam super Inceriorem permanepo.
AFAit BXCCL LLOOLItIOnO prECedentC. Cum enim ( provter Cochleain Fleti
E
cirea Cylindrum rectum, adleoque linularibus, contlari: Si ita consticutae sint Cochlex
Incerior arque Fxcerior, ut illius porrio aliqua hujus correspondemi porrionisir
ConsrIaE, ut illius Emimentia hujus Caritacibus recipiantur, d Contra; Ctiam parS
alia qualiber, respectire sumpta, limiliter congruer; iotaque altera per alteram cran
sibit, (succedencibus cujulque Hetheis partibus sequentibus in ejuldem praeceden
rium loea, _c fl Nin AL, tC. 259, J. lyde eoistai proposicum ic. s L exiv. C
M
BT Orandum hic, neur Cochlearum cum tminenciae cum Caritates ila plerumque
LN tieri Coleanes quati ex Frianguli aequieruris (ut f5. 282. 1) vel Ouadrari auF 58
Talrem Parasseloeramnui rectansuli (uctis. 283.) ductu secundum Flelicem illam
cui cransverlim insiltar: nihil camen impedir, quin pro rriangulo illo Tou Paralle
logrammo quaeris alia tigura Rectilinca vel Currilinea subltieuatur; modo BC Fe
ratuIE (quod ee in illis cavendum exic) uc similem ubique licum ad Flelicen illam
retincae, quo sulcario sic ubique sui limilis.) Il
Acque etiam, quo Incerior F xceriori conveniac, illius Fminencia hujus Cavitari
bus respondere debent, (at coulta,) canquam ex limili ejuldem tigura ductu. PottriE
ca: uit alretu atriu sque Pmimenciae iea luis Cavicatibus tespondeam, non CM nécessC.
Gisp citisii
P ROP, TII.
15)F.1
Datis in Cochlea, Ambien Crlindri, cum Inelinationis Anoulo, (seu.
quod hine resultat; incerrallo, secundum Cochlea lonoitudinem
xstimato duarum ejusdem spicalis conrersionum concimie proxi-
maru; ) dc Manubrii cui Vis applicatur lonsicudine, (Teu Ambicu
quem ris peragit in ua Cochsea conversione;) Cochlex. Vis cplei
lo aestimabitur. Cin
1
et
Nempe; ut est Incernallum duarum continue proximarum, spiralis con
rertionum (secundum Cochleae lonsitudinem aestimatum) 2d AM-
bicum quem Vis applicata perasit in una Cochlea conrertione; sic
Vis illa Motrix, ad Pondus, Obicem, seu Impedimentum cui aequi-
Pollet: qua itaque aucta morebit.
Adeoque; Duo lonsius est Manubrium, atque incerrallum illuc bre.
rius, comajor eA (caeteris paribuS) Cochleae Vis.
Liiiit 3
Incelligacur