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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 Calemro Centri Cravitatis.
stantiam Centri graricaris ejusdem Ingulae RB AOO (distortae) distanciam d
recta A VC intinitam: EF magis adhuc, torius C A OOHI Ingulae Conchocida-
Vis, Centri gravitaris ab eadem A V C diltantiam intinitam. Ouod itaque nulquam
est; seu (quod eodem recidit) non nisi in intinita distantia ab AC.
Idemque Timiliter ostendetur, de Ongula segmenti CVOOFI, ipsi CFFI
adjacentis: Acque etiam de Solidis convertione (pertecta vel impertecta) sive cO-
tius C. AOOHI sive Sesmenti C VOOH Factis: Nempe, diltantiam Cencri gra-
vitatis ab A C. infinitam Csc.
Onoula vero sermenti remori AVO, (uepore undique terminata, adeoque
magnicudinis finica, ec in diltancia tinica,) Momentum habet tinitum, et Cencrum
gravicatis. Fit Cimiliter, lolidum convertione tactum.
Tiem, quae Conchoeiddem totam (verinque in intinitum porrectam) spectant,
(aur eriam ejuldem segmencum, ordinatim applicata abseillum, et urrinque ab
AC aequaliter porrectum) Ungulx, Solidaque convertione Facta, (propter duos
semisses, utrinque ad AC Dolicos, inricem equiponderantes,) Centra gravitatis
hrabebunt; in ipsa quidem A C. recta (seu Plano huie perpendicularicer infistenti,)
acque in ea d C distantia quam ad 5 FI. modo determinarimus.
Cap. V.
PR OP. XZZ 1.
Spatium Frperbolicum exterius, (Currae et Asymprotis interjectum,)
exPTimaHOTum EcCipIOcIo Conatur: inseripea Parallelograma Ma
bens inricem aequalia.
ERque Tuapte nacura utrinque interminabile.
Fstque magnicudinis intinitxe, sire ex utraque sire ex altera tantum
Parte interminatum mancas: Sin utrinque truncatum (cu termina-
tum censeatue, magnitudinis finita.
D. D. Portio hujus, ex altera tantum parre truncata, et recta terminata quae
alteri ACymptotarum parallela sE, (ut ASFIH∞,) ucutmagnicudi-
nis sic infinitae, momentum tamen habet respectu istius ASympEOta
(A5) sinitum: Ongulamque, cujus acies sit AErmptota illa, extribet
magnitudinis finita, enoto Parallelepipedo aequalem: Solidumque
convertione circa Crmptotam illam tactum, magnitudinis finitae et
nOLX.
Ouxque huie Portioni sive toti (HE ASFTH∞,) sive ejusdem parti
duabus rectis A symptotx illi parallelis interjectae, (uESC TFT) in
sictit Ongula aciem habens AErmptotam illam; habet sequilibrii
Planum (adeoque e Axem squilibrii, s siquod sut Centrum grari-
tatis) in perpendiculari Plano quod praecile medium sit inter paral-
lelas rectas portionem hanc, ejulre partem expolitam, terminantes;
atque in illo per aciem plano, quod Ongula alcicudinem bilccat.
Centrum autem sxaritaris quod hujusmodi Ongulam, ipsi ACrmp.
TOEX (quae acies iplius cst) contiouam, respicit; nultum et rel
(quod eodem recidic) nonnisi in intinita distantia ab altera Alymp.
totarum.
Portionis hujulmodi veringue CrUNCAEX (duabus AErmptota parallelis
interjectae (utS OVLI, SCTFT,) magnitudo, (rero proxima,) cal-
culo altignari porest quancumlibet accurate.
Adeoque e Porcionis interioris; ut HV X, HIX, vel AVD,
IIId.
F. Et urriusque momentum tum respectu AIYMPIOC A8, cum relpe-
ctu Axis rel Diamecri AX, AX; Centrique graritatis inde distan.
Eido
Fis. 210.
4.
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