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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 863, page id 851387705:0883
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PFOP. XXIII. De Calculo Centri Cravitat.
L ACOP. XXILL.
Supersicies curra Cxlindri recti, ejusre Portio duabus rectis lineis in-
terjecta, aeguatur Parallelogrammo rectanoulo aeque alto, cujus B-
Sis Et aequalis peripheria basis Cplindei; ejusre respectira portioni
cildem rectis lineis interjectae.
Tdenque obtinet in Superticie istiusmodi Solidi cuiustibet Columnaris
recti, quamris balin habeat non circularem, sed Fllipticam, Para-
bolicam, FEsperbolicam, aliamre sire rectilineam sire currilineam
quamlibet.
Concrum eraritatis est in medio rectae conjungentis centra oraritatis
Deripheriarum (sire totalium sire parcialium, prout casus contiserit,)
Oppositarum balium.
Adeoque (PrOpteE arcus circularis centrum gxavitatis datum) datur
Superticici ictius Cxlindrica (perfecta rel impertectae) centrum
sraritatis.
C.
D
Edemque in aliis illis superticiebus columnaribus dabitur, sidentur rC. F.
spectira currarum balium Centra graritatis.
Datur etiam exposita superticialis Onsula Crlindrica, cum Magni-
cudo, cum Centrum gravitatis.
Idemque (datis Curracum, ut dictum est, Fonsitudinibus et Centris C, L.
graritatis) dabitur inreliguis Tuxerticiebus Columnaribus.
Ouodque de Ongulis supertcialibus dictum est; idem ad qualris in su - KL, L, NL
perticiebus illis tieuras, planorum sectionibus terminatas accommo-
dabitur.
Ouxque de Erlindri Rectis Rectire Solidi Columnaris, superticie di-
Cta Cunt; eadem ad Scalenorum (UPeFFiCIES FrAnSFCTENEUE.
Fsque Superticies Colindri Recti, ad Superticiem Scaleni, ejuldem T
Eeris, e super eactem Base; ut est Perimeter Balis, ad Perimetrum
Sectionis quae Lateri seu Axi sic ad angulos rectos; Quod ee de par-
tibus respectiris incellisendum crit.
N
demque non minus obtinet in aliis Solidis Columnaribus, cujuscun- P
que balis.
Ongulaque, et alia fgurx superticiales modo dictae, quae in crectis c.
exigenda sunt ad Balis Perimetrum; eaedem, in Scalenis, similiter
exigenda sunt ad sectionem illam qua Recta sic ad Scaleni AXem.
Ncellisancur enim, fs. 172. Tuper batis Cylindri recti Peripheria, ejusyc Dor
A
acione aliqua a ax, in singulis punctis (aequaliter ab inricem dillicis) erigi Fi8. 172
perpendiculares rectae, ut AS, curram Cylindri superticiem complentes; (juxra
Det. F. Cap. 4. hujuS:) quae, propter omnes ad balin angulos aequales rectos, 10.
eidem parallelogramma rectangula (aeque alta invicem et aeque latz) rerraesen-
tabune, superticiem illam curram complencia; quae, si in planum expandi incelli-
santur, coridem rectansulis rectilineis congruun, complentibus rectangulum re-
Etilineum ejusdem alticudinis, cujus balis aequetur ipsi a Ar CurrX in rectam Cx-
PanCX.
Idemque similiter ostenderetur, etiamli a a7 curra, non esset areus Cireularis,
B.
Icuala quaeris Curra.
tlujus aurem upencei curra CaCa, Vel Columnaris, Cenum Staritatis
elle in media longirudine, ostentum est, ad prop. 2. hujus; acque in ea recta quae
oppolitarum