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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 604, page id 851387705:0624
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De Cravium Descensu,
CaP.
Contra vero: Oua, eaeteris paribus, Prxponderat, vel minus Repuo-
nat; Fa vel plus Descensurum est, rel Ascenturum minus: Sin neu-
eras sequalis urrinque fucurus est rel Descensus rel Alcentus.
Fig. 3c. DOra; Si in puncto C sic constitutum Grave; vel per C A, vel per CEB Feren-
Lo dum: Scque CA, caereris paribus, vel masis deortum, vel minus, fursum,
quam CB: Per illam porius quam per hanc feretur. Sin aqualiter; neutra PrO
Dendet agIS. EF CONTTA.
Sequitur ex 4 hujus.
P R OP. XVI
Fa prxeponderat Grare, exeteris paribus, et in ca ratione, qua mOtuS
est Declirior: Ouaque est Acclirior, maxis repusnat.
Adeoque, omnium maxime in perpendiculo.
(Ouare et Ponderis simpliciter tanta Vis censeri Colet, quantam in Per-
Dendiculo habet.)
Ouaque sequaliter vel Decliris est vel Accliris, aequaliter vel Propen-
der vel Repugnat.
Suneque haec perinde rel Crarium moribus, rel aliis, accommodanda.
nic. 42. DVca; In rectis FP, FOS, FBT; ea racione ponderat Grare, qua LinE DE.
L.clires illa rectae. FM enim Dectiricas in Reciproca rarione Longicudinum
eque altarum; sive, quod eodem recidic, in Directa Alcirudinum seque longarum;
(per 24 hujus.) Hoc eltu in ratione Delcentuum (Ascentuumire) caeteris pari-
bus; (per 10, 12, hujus:) Adeoque in ca ratione poxderant; per 4 hujus. Quod
crat propolitum.
Ouare _ in perpendiculo, omnium maxime: Ut qux ex aque. altis Brevittima
Clt; et ex aeque lonsis, alristima.
EE ProPterea (quod Detinitionis inctar esto) cantam Ponderis cujusrio Vim cen-
semus, quantam in Perpendiculo habet.
Ouodque de F F recta ostentum et; idem de currae FC puncto F, incelligen-
218. 43. dum ett. Vepore cujus Decliricas, adeoque Pendentia deorlum, eadem ell acque
Concingentis rectae FP: (per 25 hujus:) Adeoque et graricario; per 4 hujus.
SC HOL ZVM
Onendum camen est: In rectarumu, ut F P, punctis singulis, candem incel.
LV ligendam esse praris Ponderationem, dummodo intellisatur Centrum P’er-
ea tanquam intinire diltans; adeoque, proprer Pexpendiculorum quali parallelis.
mum, candem ubique Dectiritatem. Si camen (quod ad ProD. F4. monuimus)
Cenirum incellisatur in cerra distancia finica; mucabitur, in singulis punctis, recta
Decliritas; adeoque e Craris, in eo puncto, ponderacio. Ouo calii; quod de
Curra modo dictum est, idem de recta pariter dicendum; Nempe eam este Cira-
vis, in recta F V puncto fi Ponderationem, quae ex rectarum L L, F P, reci.
proca ratione collisicur: Aeque in aliis punctis similicer judicandum. Ouippe.
ut in curris, sic rectis, pro murata in lingulis punctis Dectiricate, mucabitur e
Ponderatio.
Nerum cum Oentrim Foleat, tanquam intinice distans, repucari;; ee Perpendicula
parasela: cuto solene (quoad sentum). _ rectae in lingulis sui punctis pariter
Declires aestimari. Ouanquam (quod ec lubinde antea monuimus,) Si, LanEX
Consimdinis recta, Planare canex amplitudinis, consideranda venianE; ut nota
bile hinc diterimen emerxat; etiam hujus mucacae Dectiritais, adeoque e Ponde.
cationios, habenen etic ralio
218. 43