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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 600, page id 851387705:0620
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50C
De Ciraccum dest
sit
PRO P.
Craris in luperticie Sphaerica, Terrae concentrica, utcunque moti,
nullus cst vel Descensus vel ACcensus.
Idem dicendum cA, de Plano FTorixontalis dummodo, propter Par-
ricarem plani ex immentam à Centro distantiam, quasi cum illa Spha
rica superficie coincidens habeatur.
Idem incellige, mutatis mutandis, in alia Vi morrice.
C B =- C. D.
CB- CD =0.
Duca; Si a B aet D, in supertieie Sphaerica, Terrae concentrica, mOveatur PrA
re: (vel eciam in Florirontali Plano, quousque hoc cum illa coincidens ha-
teacur;) Wihilo tic vel Propius vel Remotus d CentrO FerrX; (propier aqua
les CB, CD, Sphaerae radios:)
Adeoque (per 3 hujus) non vel Delcendit quiequam vel ACcendit sic lacum
Crrare. Ouod erat propolicum.
Idem in moris ab alia Vi Mocrice, mutaris muraridis, timilice octendecur
eempe, nihil vel protecisse, rel contra, Vim illam; dummodo secundum Vis Mo-
ericis Directionem nihil vel procelterit rel recesterie, urcunquse alias MOrCat.
F18. 30.
P R O P. Xmm cistsim
Craris per rectam Forixonti perpendicularem Descendentis, Delcen-
sus tancus est quanta est ea recta per quam fercur. Et similitex
ACcendentis ACcensuS.
Adeoque Oblique vet Descendentis rel ACcendentis, LanCUIS quantA CAt
perpendicularis aeque alta.
Idem incellige, mutatis mutandis, de alia Vi motrice.
1. 30. 
oistuis ei
ABC - BC = AB = ABC DC.
DC - E C == BEC - F C = BF. 
mesut: Beotoe
Oc2: Si in ABE recta, qua ad Foriconcalem rectam HB perpendicularis
sic, (adeoque ad C centrum Terra recta rendit, per FO Flemen. 3.) Feratur
Mobile, ab A ret R, ad B: Manitestum elt, tanto vel propius vel remocius
a Cencro tieri, quanca est ipsa AB, Vet EB, recta qua Fertur, (per 3 F lemen. F.)
Adeoque ( per 3 hujus) cancundem ret Descendere ret Ascendere. Quod exat
provoticum.
Adeoque; Si uccunque Oblique, ab A vel F, Feratur ad D punctum, quod can-
uundem acque iptum B a Cenero distet: cancundem uirobique vet Descendisse ret
Alcendisse censendum erir; per 3 hujus: Floc cst (per modo demonstrata) quan
ta est AB, vel F. B, perpendicularis aeque alca. Ouod irem probandum exat.
Idem, mucaris mucandis, de motis ab alia Vi, similiter oltendetur.
P R OP. XI.
Craris, per rectam utcunque dectirem descendentis, Descentuum A
titudines Tunc emensis Longitudinibus proportionales. Atque AF
censuum lmiliter.
(Incellise; Dummodo planum FTorixontale, cum superticie Sphaerica,
Ferrae concentrica, coincidens habeatur. Ft similiter in sequenti-
bus aliquot, quae hinc dependent.)
Idem de alia Vin muratis mutandis, intellixendum.
EC