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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 831, page id 851387705:0851
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PFOP. XXI. DeCalculo Centri Craritatis.
iptiuo paccem B a M, spectac; ) uc Omnien 18 a B. + 20as b + 45. b: adt Omnias ti p. 100.
357 B: eo spectancia.
Fademque ratio, sic alias collisimr: ad methodum nostra ristmetica Infinis
torum.
Siro rectae complences Xa D Friangulum (mpore arictmetice proportionales,)
b, 2b, 3b, ecc. ulque ad maximum. YP = B. Ouarum puncta media, seu grari
catis Centra, in a B posita, habebunt (in Ongula Semiquadrancali aciem habente
A a) alticudines dictanciis suis ab Aa aequales, puta 5, 25, 3 5, _c. ulque 2
maximam BV = S. Oux distancia, in rectas illas respectire ducta, extribent seri
em magnicudinum rectis illis insiltencium (ungulam complentium, ) b5, 4 B5,
9bs, _c. usque ad maximum BS. Oux quidem series Magnicudinum, Pvrami-
dem L a P complentium, (urpote Series Secundanorum;) erie ad Seriem toridem
maximae aequalium, (hoc cst, ad Parallelepipedum ejusdem balis e alcicudinis, )
ut 2 ad 2 F X; (pex prOP. Y. hujus: ) HOC est ut L ad 3. Puta, SB B S.
b. 2b, 3b. dc. ulque ad B
5. 25. (35. ec. ulque ad S5.
65. 4b5. 9b5. ec. osque ad B . = 5 bB 5.
teru
Fademque Series magnicudinum (quarum omnium Centra pravitatis Tunt in
a B, planore super hanc crecto; Faltem inde diltane incerrallo quod daco quovis
minus AIE;) in luas iterum distancias, 5, 25, Z5, ec. ducta; extribent momen-
eorum carundem, respectu ipsus A a) Seriem B5 2 8B52 27 B52 c. ulque ad
BS2 maximum. Dua quidem series, (urpote Terrianorum,) elt ad seriem coti.
dem maximo aequalium; pura B B S2: CHloC est, ad Parallelepipedi Nlomentum in
B suspenti;) ut X ad 3 f Z; hoc e, ut X ad 4: (per prOp. L. hujus.) Adeo.
que 1 B852.
b5. 4b5. 9b5. ec. ulque ad B, S.
25. 35. _c. ulque ad 5.
B5. 8b5. 27652. c. ulque ad B52 = = B BS
Trapexium vero complencES reCtX, (quarum minima SE = Y P = B,) etun
B. =b, B f 2b, B +3b, ec. ulque ad P + B, Teu 26. Quarum iaque sutu-
man aequabic b_ = ZB B = ZbB, Det prOp. 1.
B. B. B. _c.
plus B. 2b. 3b. _c. utque ad B. = 5 B8 5 = 3bB.
Eademque series in distantias tuas ab Aa ducta; hoc elt (proprer pravicaris
centra singulorum in Bb,) in A Fs, A+ 25, A F 35, ecc. usque ad A F S:
Exhibenc Seriem Magnicudinum eildem intistencium (Tolidum complenrium)
BA + B A +sB + 5b, BA + 2b A + 25B + 45b, BA + 3b A + 35R
9sB, ec. Ouorum omnium Axrexarum (per eandem prOP. Y.) est BBA
+ EbB A + :BSB + 3BSB, seu 3 bB A + 3b SB.
B F B, in A F s, = B A + B A + 5B + 5b
B + 2b, in A + 25, = B A + 2b A + 25 B + 4 5b.
B +3b, in A + 35, = BA +36A+356+95b.
ec. ulque ad,
6. + B, in A + S, = B A + B A+ SB + SB.
BB A F 3BB A F = BS B F 3BSB.
seu 3bBA + 3BSB.
Calemque Magmcudinum leries, in diltantias icerum ducta; hoc est, in  F s,
A = 25, A = 3 s dec. exhibet seriem Momeniorum, (respectu ejusdem A a.)
Quorum