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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)
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De Calculo Centri Cravitatis.
Cap..
Fxhibuimus itaque, in urroque Solido; cum eo seilicet quod ex Figurae Sinuum
verlorum Ara rectis bB, in Bi respectiras Figurx, Sinuum Rectorum rectas,
ductis; tum eo quod ex Figura Arcuum A 2 a rectis bB, in BV, respectivas Se
inicirculi rectas, ductis componitie; Porumque parribus; cum Mashimdines,
cum Momenca respectu planorum aliquot expolicorum, ee Centrorum cravicatis
ab illis planis distantias. EF Propterea, (per prop. 26. Cap. praeced. ) propter ex-
hibitas Centrorum graritaris a Eribus laliem planis, guorum ne duo quidem sunt
invicem parallela, (puta a plano Ar a e duobus altis quae huic in rectis A e, r a
ad rectos angulosintistum) exhibentur ipla graritaris. Cenera. Ouaque de his
dicta lunc; tacile erit ad alia ampliare
Ex quidem, quae de Solidis his craclidimus; eadem ad Proiracta de Coniracta Pa-
cile cransteruntur. Manentibus urique, (ut in proxositione praecedente) A0 = 2R.
adeoque A V = 1, e V a = B: SIEZa major (EIF In Solido PrOIaCtO) vel mi-
nOr (ut in Concracto) quam =P (reliquxqne His parallela similier vel pro-
tractae vel contractae;) Ouories recta BB in caletitm VEHIHHE; pro a Subltit
enda erit alia quantitas, quae ad illam AI in eadem ratione qua elt ra, ad = P
Ouxque de lolittis tiguram Sinuum Rectorum untus quadrantis à Jn tio. F70.
respicientibus, dicta funci; eadem omnid, ad solida, fixuram chordarum seu Tub.
cenlarum tocius Semicirenti, uo AI P HB. T83. accommodanda CFUME: PFOPTCF
chordas Cubrensarum in Cemicireio ubique duplas linuum rectorum arcuum di
midiacorum; adeoque tisuras a sintiss. 170. _ A su, tig. 183. omnino limiles. Oua
de re plura videantur ad prOP. 2 i S. Fis FL, I, ubi hac operacione opus exit.
o 1s
SA L et  Z Sis 3vit eo d e R set 21302SBIIHCS
R P. XEX
3i G11 C. LW BII. 1GlsESEINS IC IH
e 
∞e q Orstq vx B C
1
E empse ienlqus v r A 1ot3 34 132 sr.13l sipiso i
 311i
A 11133C(13I ett
5e1 8 L1SLISid eBs
Oneula Fiisurx Sintum verlotum Arcunnive A Fa insistens, Aciem
habens ra est ad correspondentem Ongulam Semicirculi, ut 3 ad
2: Teu Sesquialtera. ru E d R iBiloc. sSAWBLIF 11I
1e1513.
Fijusque Momentum respecturaeiei lux; OA Sesquitertium Nomenti Vn-
sula relpectira Semicirculo A D a insiltentis, aciem habentis ra re-
spectu aciei sua; Peu ne L ad 3. Cirsinema a ved
Iderque in respectiris Portionibus obtinet: pura, Vngula Ouadrili-
neo bBa A insistens, (aciem habens F a) est Sesquialtera Dnoulx
respectirae, Sectori Ba A insistentis; Cou uto 3 ad 2. Fjusque Mo-
mentum, relpectu aciei lua Faq est Sesquitertium momenti respectiva
Onsulae insistentis Sectori B a Hy vespectu acier r a: seu ut 4, adt 3.
Arque hinc, eadem respectire decerminantur, cum quoad Magnicudi-
nesqe cum quoad momenta, et Centra graricatis, in Ongulis Pigura
Simuum versorum, ejulre porcionibus, insistentibus; acque in illis
quae demicirculo, ejusre porcienibus respectiris insistunt.
Nempe (rerentis Symbalis ur sip propositionibus praecedentibus,) Se-
miguadrantalis Ongulae, Frilinei ATa, aciem habentis r a, Magnitu.
do3R P; MOMCHEM FeSpECtHYO, 3 R3 P respeCtU T A, 5R P; di-
cancia Cenrri scavitatis 2 7 ) 2817
iec
x 8p.Momentum respectu
Aa 3 R D = 2R; relrectu  1, o   = Z s ii diltantia CenErI
Eraritatis ab A ∞, 2∞ 1,26.
lar
n d. p 1, +  4. ld  .
Aciemque habencis La: Magnicisdo 3RZP; momentum respectu ran
R. P; respectu F d, id P3; distantia Ceneri sravitatis d ra  R;
L A,
B.