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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 527, page id 851387705:0547
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D E LCY CL O FDF.
ablacum, relinquit 36 D3 P + 5 D porcionis relidua Z Z~C C, quacranii Z Y C
insiltencis, momentum. 1c
41. Deinde, polt hoc ablacum, restimendum est quanrum iriangulo quadcanci
F YZ inseripio (hoc elb, triangulo F G b Hg. T.) intistir: Nempe Prramis, balim
habens Yv6Z =. =D, alcicudmem FY = E D, quae in batin ducta dat 3D, cu-
jus criens. D est prramidis masnicudo; acque hiaec in 3D, diltantiam lui cencri
gravicaris 2 plano PFA, ducta, dac  D prramidis momencum respectu FA
rectae: Ouod quidem momenium, momenio religuae partis, 36 Z P + D addi
cum, dac 36 P + is D momencum illius omnis quod seclori FbC H8. I. in
lictii respectu rectae AF.
42. Cognico aurem momenco Porrionis sic secti prilmatis sellori C FB intisten-
tis: connoscicur etiam momeneum portionis prismaris Ouadrilineo C F BB FB. L
inuiltenus, eodem plano secti, (respectu ejusdem A F recta:) Fst urique ad illud,
uc 7 ad 3 (per 545:) Adcoque illius quod Duinquilineo CbF BD Hg. T. hOC
est Ouactrilineo C P BB H8. 7. (utpore quod ad idem momentum est ut 4 ad 3;)
nemDC ,3 D3 P +  D.
43 Unde li auteracur momencum istius quod Paralletogrammo FB L3, Z. in
Sltu, (hoc est, prismaris basem habencis criangularem, semillem urique quadrari
Fb, adeoques D, alcirudinem reco Bb == + P, cujus itaque magnitudo est 3: D P.
qua in Z F b = ; D diltanciam ceneri graricaris a plano rectae PA insiltente ducta,
dat o D D prilmatis momencum respectu P A rectae;) manebit  D P + un D
momencum iltius omnis quod crilineo CBB insiltit, respectu rectae AF.
44. Ouod aucem Prilinco huic jam insistie, (alcicudinem jam nactum in puncto
B aequalem ipli F b = = = D, et deinceps continue crescentem,) constat ex prismare
super illa bale, alcicudinis Z D, et aequalis insuper prismatis portione oblique secti
(Fodem plane modo quo luper ZZC quadrance fg. 5. insiltit cum Z Y vn C CY-
lindrus quactrancalis, rum ejusmodi Cylindei Porrio oblique secti Cycn.
45. Elujus rero Prilmaris momentum respectu rectae A F, est is D = 126 ∞ 2
(Momencum enim erilinei Bb C repertum est  28. elle sD l a D P, quod in
Prismatis alticudinem = D ductum, dac momentum prismaciS, diclum.) Ouod qui
dem ex 3 P + t D ( 43.) subductum, relinquic 118. 3P +   mo-
mencum porcionis prismatis oblique secti crilineo BbC. insistentis, respectu AF
recta. CAdeoque cencri pravicacis ab A F. distancia est L D L  ; et momen.
Eum respectu BB, , : 21.)
46. AC vero inceori parallelepipedi aeque alei parallelosrammo BC FZ. 7. in.
Tiltentis, eodem plano secti, Porrio, nempe 3 D Z, in sui cenri gravitatis a plano
rectae FA insistence diltanciam, nempe Lb f 3bC = = D + ZD = -3D, ducta
dac, E D P momentum iltius priliacis, sive portionis parallelepipedi, respecti
iltius A P. Onde s auteramus ,58 D P F, 5 D momencum porcionis crilineo BBC
insistencis,  praeced. invencum restabic ,  D P = , D momencum porcionis
exilinco BCC insistentis respectu rectae A F.
47. Duod quidem momenium, per tolidi magnicudinem s D. P ( 32. in
ventam) divisum, dac  D, -,  cenri eraricais ab A F distanciam; adeoque
Ex
ejuldem distancam a BB; qua in magnicudinem e; D. P ducta, dac
3D. ∞ = = D expolicae porcionis momencum crilineo Bc C insictenris, respectu
BB rectae. (Vel etiam, ex prilmaris paralle loorammo B C insistentis momento re-
spectu Bb, nempe  D Z X ; D = + D P, Tubducto,  D momento porcionis
intiltencis crilineo BBC, reltâc 1s D~ -, = D momentum portionis BCC. irili-
neo intiltentis respectu Bb; ut prius. ) Duod v 35. proponicur invellisan
dum.
18. Inceori vero Prismatis, cidem BCC crilineo insistentis, ex puncto C. sul-
penli, momentum respectu ejusdem B rectae, Sic habetUT. Pritmatis nujuS BaIis est
iplum crilincum BcC =f DP - = D (per  10.) quae in altitudinem ? D ducta,
dac 15 D P = 8 D prismatis magnicudinem, quae in diltanciam bC = 3 D ducta,
dat  D. P = rs D prismatis ex puincto C sulpensi momencum respectu rectae
43. Racio