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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 532, page id 851387705:0552
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D E C Y C F OID F.
tionis Cylindri quadrancalis, criangulo CBb incumbentis, respectu rectae BB
fig. 
72. Forius aurem Cplindri quadrancalis, paralle loprammo B C incumbentis, mo.
mencum respectu ejusdem Bb rectae, elL is D. P = s. D PX q. Unde s aute.
ratur cum momentum Colidi hilineo BC insistentis, 5i D 2P2 =  D a (∞ 70;
cum  D3F = = D= P = ( 7F) momentum portionis semieylindri crianoulo
CBb incumbeneis; hoc est, 36 237 - D a momentum solidi cocius crilineo milto
CBb incumbencis; manetitZ Da momentum (respectu ejusdem Bb rectae) Colidi
insiltentis crilineo milto BCC. (5. 7. nempe Colidi ex omnibus YZ XZ. L H8. 7.
Ouod  65 proponicur inguirendum.
F18.7, 10.
73. Hoc habico; propter cum AF A3, +0. duplam rectae cC fig. 7. adeoque et
ZV f8. 20. duplas rectarum VZ. Hg, 7. Tum V: D 2 = a2 (propter D duplam re-
eta GC tig. 7. ) duplas rectarum Z. L fig. 7. adeoque lingula V: D2 = a2: in Z V
fig. 10. quadrupla lingulorum VZXZ L Hg. 7. FF (proprer alricudinem C A ti5 20.
quadruplam alcicudinis cB fig. 7.) omnia omnium Ledecupla, (est enim 4. X 4. = 16:)
Erdenique (propier eandem A C. = + C B) distantiam ceneri gravitatis d cC fie
20. Guadruplam distancixe a Bb fig. 7. CrIE (PTOPIEF 16X 4 == 64) momencum ad
momencum uc 64. ad T. Adeoque omnes Z. f8. 20. in V: D 2 - a 2: in 2a, = 87 4
(nempe ad momencum omnium VZ XZ Y x BV Hg. 7. hoc elt ; D a per Praccd. WE
64. ad L.) Ft Propterea, Facta applicatione ad D, omnes V Z (HB. 10.) in
2aV: D2 - 
L: hoc est, omnia 2 Y Z. X Zv bina rectangula ( SB MEOTATA)
3∞3. Ouod  64 provonitur inguirendum.
74. Cum isicur sinc omnia Z09 (Per 59.) B D, e omnia Z V g (per
63.) 2∞ ∞2 4D, ec denique OmIa 2V P. XZV (per 1 73.) 3∞3. Frunt
omnia VZ9 L 2VZXZv F Z09 fg. 10. ZD P= =128 D3 Omnia verO A F4
TunE : D ∞2 = + D2 X 2D. Eorum isitur ad haec ratio constat; nempC UE L ∞2
128 D2 ad Z P2, Tire ut 45 P7 = =256D ad 45 P2. Ouam quidem candem
esse quam habet momentum superficiei ex lemiconrertione currae C A H0. 8. circa
CF, ad momentum curra semicy lindrica ejuldem basis, alcicudinis vero 2 ∞ =C A
respectu rectae CF sive plani per axem; jam c 58. ostentum elb. FA autem
istius magnicudo (per = 26.) P = 5RD Sve P == DD; hujus autem ~:
(quod nempe sic ex aliicudine 2. D, in  semiperiphreriam radio A P = . P de.
Fcripram:) adeoque illius ad hanc ratio, ut P - 3 D ad P, Sive uE 3F = 4 D
ad 32. Ideoque proprer 3 = +D, 45P -2562, 45 ∞ = 256D
45 P
45X -60 D p, di-
Pranciarum cenerorum graritatis ratio Ct, ut 45 ~2 = 256 D = ad 45 22- 60D 8
E.s autem centri graricatis expolua currae semicylindriex a plano per axem di
sapria D, (nempe radii AF = =P ea pas quae elt ad coram, uc chorda ad
arcum, hoc est ue D ad ; P;) EL proprerea + ~2 = 256 D D diltancia centri
15X2 -60 D7
Graricatis superticiei ex semiconvertione currae C. A circa CF ab eodem plano
sire d CF recta. Quod erat ulcimo inquirendum.
aD P F. N D Z X.
Cum ex Wrrennii nostri Demonstracis de Cseloidibus (quae sub inicium fulii
anni 1658 amieis quibuldam ostendic) Semiereloidis curram axis duplam esse
 2. altumplerim: Iius demonstrationem prout cam ab eodem D. Cbristophero
Wren, Socio Collexii Omnium Animarum dicti, Oxonix, et in Collesio Crestra-
mensi, Londimi, Actronomix Protestore, acceperim vilum est hic lubjunctum
exhibere.