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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 613, page id 851387705:0633
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cct10
PtoP. A1. t Motuum Dectioitate.
V. 6: m F. ncc.
2113
iciet
D Eliguis, ut prius, constructis: Incellieatur Vis V, aequipollens Pondeti P, Fi8. 50
LL per Accliritacem PO morendo. Et requiratur, uc per Acetiricatem Majo.
rem (nam de Minore Patis constac) puta PF, moreatur.
Dico; Si qua racione Brerior est P F quam aqui alta PO, cadem augeatur Vis
V; aequipollebic; Adeoque, Eulcerius auseatur; movebit.
Nam, uc PO ad PF: pura ut m ad F; Sic, vice verta, Gravitatio ponderis p
in PF, ad ejusdem gcaritationem in PO: (per T4 dE F7 hujus.) Adeoque, cum
Vis vEV, aequipolleat huic; Vis ut m V, aequipollebic illi; (per 17 Cap. Y. d. e
aueta, movebic. Per, FF. C aP. I.
P ROP. ZXX.
Dati Vi in Accliritate data, motum efficere.
: 1
idem incelliee, mucatis mutandis, quacunque sit Vis impediens.
V. P:: nV. MF
Axexis, uc prius, constructis: Incelliontne Vis V Ponderi P, per Rcclirica.
cem dacam PO movendo, equisollens. PFrequiratu, ut data Vi, n Y, (pura L18. 50.
quae Cic ad V, uc nadF,) tat mOTuS.
Dico; Sipro P pondere, substicuatur nD, (quae nempe sit ad P pondutsu ln ea
dem ratione qua data Visn V ad V;) huic aequivollebit dara Vis (ver F, Cap. F.
Adeoque, Si rancullum adthue minuatur Pondus; Vis praepotlebic, adeoque more.
BIC. PeF 9, EF. CaP. F.
eBSC E IICHE CIIESDNDC
SCFZO F. TVIM. 44 e
es
Eporro intribus proxime praecedentibus Problematiss Eclericalis racio shabenda
Derit; uc non tancum motus urcunque tiat, sed de dalq celexitate tiat. Huic (a-
cistactum exit ex PrOP. 29, 30, Cap. T. Nempe invecio (per tres Propolitiones
praecedentes, respective,) quo pacto morus tieri possic, aliqua faltem celericate
Dua ratione ausenda CFIE celeritaS; eadem ansenda eri  P FOP. 28. hujus in
venta lonsicudo rectae PO; e in ProD. 20, invenca Vis; a AHFTOP, 30, cadem
minuendum eru inrencum Pondus.
eR OP. 1XX X I.1
Grare, ex puncto sixolibere dependens; Si in Perpendiculo consirua
tux; manebit: Si exera Perpendiculum, ad Perpendiculum Perceut
(Et quidem per arcum circuli in plano ad FTorizontem rect: ) edei
In plano autem ad Florizontem obliquo; ad eam rectam FCrCtUY qua
est Horixontali roctae ad angulos, rectos; (quam Perpendiculi Sivece-
daneum appello:) e in ea SiPOnatuEs ConSiltot. d S p sSIIL.
Idem intellise, mutatis mutandis, in alia ViMotrice. Lsssilogoiq sis
CT FC, Forironcalis recta; F P, perpendicularis. Arque ex F puncto hsO, FiB, a
Ddependeac, per F P Filum, pondus P. Adebque Si exira perpendiculum quo
cunque moreatur, puta ad S; describet (propter eandem sili longicudinem) arcum
circisti. P S, (Paltem aliquod in superticle Spharica, centro P’deseripia, punctum
Sdelignabie, quod PS circuli arcum cerminahic:) Est aurem (per 20 husus. 9 Dun
ctum P (urpore omnium in illa peripheria, auc eriam Sphaera; intimum) ipso S hu-
milius. Non isicur ad S Feretur; per 2 hujus. Ouod demonstrandum eral. 
Si VerO CxITa P Constituatur: Propter punctum P omnium intinium, ductumque
SF continue descendentem, (. per 20 hujus;) omniumque maxime (vepote por
circuli peripheriam in Sphaera maximi, in perpendieulari plano potiti) Per 247
25, 26. hujus; eo sererne; per + et 8 hajus; i Cubd ilidtem ecac demonstrandum
AThhh 3
Idem
et cisistiil S