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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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PrOP. I.. DeCalculo Centri Cravitaris.
Adeoque extribuimus, in expolicis Ongulis, cum Maenicudines ee Mo-
menta, cum e ipla Craritatis Centra. Ouxque de Onoulistradita
Tunt; ad Solida conversione facta facile transterentur. Ouaque de
expolitis dicta Cunt; Facile est ad alia, calculo rite achibito, accom
modare: Puta, Ongulas Frilinei ABK; alialre ejusmodi.
Ouaeque de Ongulis Solidisque Semiereloidem Primariam spectanci-
bus tradita sunt; eadem omnia ad Ongulas Solidaque, Semiereloi-
des Sccundarias (sre Protractas sire Contractas) spectancia facile
tTANSFETeNEUL.
Tcriburis, (ut ad proposicionem praecedentem) Tum Semicireulo ADa, in
A.
minuta Friangula, numero intinica: Tum Semiercloide A xa, in cocidem FiS. 166
Tcapecia correlpondeucta: Lucelligutur unique insisteic demiguadrancalis Vngula, 168, 170
aciem habenS 5a.
173, 174
Oux aurem rel toci Semicireulo, rel ipsius Sectori, ue Ba A, insiltic Vngula:
componi incelligatur ex intiniris numero Ongulis, seu Prramidulis, minuis illis
Frianoulis (vE aB, Seu Z a P,) incumbencibus: OLarUM COIINNIS verrex lIC a
punctum; Balisque super Priangulorum illorum Basibus (we YP, etC.) crecta,
alcicudines habeane iplis Va respectiris aequales.
Ouxque Semiercloidi sire toci, sire iplius Porrioni, ut BBa V A (quae Sectori
Ba A relpondet,) insiltic; ex toridem noulis, quae respectiris Fraperiis Bb, leu
YsEP, ecc. incumbanc; aeies habentibus in + a recta concinues jacenres, alcitudi-
nes vero super iptis y bp Frapexiorum balibus (pro Semiquadrancalis Vnsula
ratione) iplis V a (respectire) carundem a ra diltanciis, aequales.
Dux quidem Minuris illis Praperiis insiltentes Ongula B(propier Prapezia
illa aequalia, respectiris cum Semicirenti Priangulis, cum Prilinei Rollicuri
tis. 270. Parallelosrammis limul Cumpeis, ) aequales erune respectiris Pyramidulis
Cuneisque simul sumpris, quae respectiris Semicirculi Priansulis rilineique, re
sticuci Parallelosrammis, incumbunt; adeoque ad prramidulas illaS, ut 5 ad 2
Cut ad PrOB. PraCCd. oltensum cs.) Suncque in eildem respective sive d ra, live
L’A, (aUE hisce ParaHCLIS,) distanciis (HE BatCL.) Adeoque et Momenta MO-
2
mencis aequalia habebume live respectu recta ran sire LA, lire cujulris hisee
Parallela rectae.
Cunque hoc in singulis respectire obtineat, (adeoque in simul omnibus:
TIlius, quae ex Ongulis hilce, minutis Frapeziis incumbentibus, componitur, (sive
Toci Ara Semicrcloidi, sire ipsius portioni, ut BBa A, vel bBd d, vel bBr _C
tig. 266. insiltencis,) Onolilae Momencum; aquale elt Momelicis, simul Tumpris
cum illius quae ex Pyramidulis componitur Ongulae, (lire coci Semicireulo ADa
lire ipsius porcioni respectira, uc Ba A, BaD, BaB, ec. intiltencis,) tum il.
lius quae ex Cuneis componitur, (sire cori Frilineo relticuco, live ipsius vorcioni
respectirae, ut bBa A, bBd d, bB7, Sec. Hi8. 270. insiltenuis,) simul Tumpris.
ER autem illius quae ex Cuneis, ad illius quae ex Pyramidulis componieur, Un
sulae momentum, respectu rectae 7a; ut 4, ad 3, (Per S A. PrOP. 2O.) Fst ita
que illius quae ex Ongulis Prapeziorum componitur (lire con Semieycloidi ANa
tire iptius Porrioni, ut bBa A, bBd a, bBr, ec, insiltencis) momencum (ut
Dore iurisque illis aequale) ad momentum illius qua ex prramidulis componitir
(sire tori, Semicireulo ADa, sire iplius respectirae Portioni, Be A, B a D Ba B,
ec. intiltentis;) ut 7 ad 3.
Et quiden, ea quae Prilineo resticuro ArO, l8. 270. intistic Ongula sive
aciem habeat ra, sire PA, sire aliam quamvis rectam hilce paralletaim; alia not
est quam quae Frilineo diltorto Ar aD (Cycloidis currae, de Seietteuli conrexa
incerjecto) intistie, in licum debitum resticuta: FF Ongularum Nomentas respe
Au rectarum ra, TA, aut hisce parallelarum, (proprer cum Magnicudines tuu
Diltancias aequaleo,) sunc aequalia. Ouod et in parcibus respectire comparacis,
perinde obtinet: Puta, qua curra rectaque AB, AB, ti3. 170. e qua chrris
AB, AB,, HG. 266. interjacet; item quae rectis Ba BB, H0. 770. qua que duabus
sive rectis Ure curris Ba, bB, fs. 166. interjacet; (et simulicer alibi;) proprer
L.t1I.
tun
te