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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 708, page id 851387705:0728
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De Calculo Centri Cravitatis.
Cap. V
AdepaE. (AVC TOTA Aa, Sre parS UE B S Con SideretE,) Centrum Aquilibrii
Fig. exit in allumpea Librae medio; (Dex PrOD. 2 e q hujus:1) Puca, Summae Sinuum
154. Portionis E. B P Ci, in alcicudine media inter R B e FC (sire ad casde, tive
0
F18.
ad oppoticus cencri parceo ponancur ipla B, F(.) Ouod erac iidem demon.
Ctrandum.
Dico aurem, In suo situ: Ouoniam Ei incellixatur (ur in Figura Sinuum, F.
255.) arous in rectam extendi: rem secus elle, (ob rariatas sinuum distancias,)
manitectum est. Nili cum P. B, C F, utrinque a Cenio requaliter distanr. p
Tocumque hoc quodide Sinibus Rectis (. Arcuumve SubcensS) trie cradicur.
eodem plane principio nieirur, atque illud de Sriperheie Sphaerica, ejusque parri
bus. Ouippe Sinus Rocti, Arcuumque Subrenla, in suo situ existences, non sunE
nisi Radii Diametrique Peripheriarum, aqualibus ab inticem dictanciis remocarum,
superticiem illam Sphaericam complenciumi carque ur illa omnes Peripheria,
omnibus Cylindricam luxerticiem complencibus Peripheriis aeguaneur. Sie e TIIa
rum omnes Racii; de Diameeri, omnibus icem Radiis, e Diametris, Flarum. Ouod
ee in parcibus obtinet respectire sumptis pariter urrobique.
11So loi. Isi1
losiesecbs si es C s eL WHI sC). IIS vCI
Eadem Curra Superticiei Onoula Be accommodaneur. si is eE sssite
Si super A a D Semicirculo, vel iphus Segmento quoris, UE E BP G, (rectis
254. EB, C B, quibulris, quae lint ad ansulos rectos Axi a a interjecto,) erieatur VN
Fie
255.
2it.
Eie
sula, cujus Acies (seu communis incorsoctio Balis Planique secantis) lic in A a:
licque Planorum (Basis Scilicet, Planique secancis, seu Ingulat ableindemis,)
nelnario, Semi quadrancalis: (quam domi quadrantalem neulam appellatus:)
Lectis E. B, CH, (reliquisque hisce parallelis,) insistet Friangulum Rectatontum,
ec quidem. (propier Tnolinationem Semi quactranca lem) Volceles. Adeoghe (cum
hoc ubique obtineat) singulis Peripheria ADa vel P Ci; pinictis, inltent scela
(curram Ongulae Supertieiem complences) Tuarum distantiis ab A o, seu Sitribus
rectis, aequales. Frirque propterea, Curra Superticies Onsula, aequalis Sittiniae
Sinuum rectorum; live (excenso in rectam areu A D∞, vel P _, crectisque Sini.
bus, et complera ut prius figura,) conrespondenti Pisure Siniltim rectorutir; eju p
re porcioni dorrespondemi. (Pelt urique Fisura illa Sinuum rectorum Na C, HI
hil aliud quam ictius Ongulae Superticies curra, in planum expan (d.)
HOS elt per modo demonstrara, P’arallelozrammo a AS. (H8. L54.) Si Basis Vn.
154. gulae sit. A a. D. vel Paralctoxranimo B F y C, _ Balis sic F B. 1- ei parres parcibus
Fis.
respectiro sumpris aequales.
Nempe, Ouae insiltet arcui E C curra suverticies Ongula Semi quactranca lis
25A, Caciom habentis B F) aegnalis erit superAcier plana P B P C in figura Sinuum;
(55. Hoc ett B F Ve Parallelosrammo. Px lie ubiqué. li o rsi liI
R. Si vero (pro alia Plani secancis ad Balin Inolinatione) alial Ec altiendo:) vilta,
Fis. alticudo in E, ad diltanciam L. B, (de sic ubique, ) Ut Petiphetia vel Semineripté.
254. ria ad Racium: Pro hinubus, Sumendae erunt Peripheria vel Semiperipheria his
op a3boR
Radiis