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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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PeOD L. VII. De Calculo Centri Cravitatis.
Ouaque de Figura Sinuum rectorum unius quacrantis, (ut a Sn f8. F70.) dicta
sune: eadem figurx Sinuum Chordarum seu Subrentarum in semicirculo (ut Ad h
518. 283.) Facile accommodantur: Sunt enim Chordae Areuum in semicirculo, ubt
que Dupla Situum Rectorum, Semiarcuum in Ouactrance correspondentium.
Adeoque Fipura Choraac in Semicirculo ASn HB, 183. EpHaS _ H3, 270; F
surae Sinuum Rectole acrants, omnino limilis; es partes parcibus respecttre
tumptis. Ouod e de Poliens e us pariter intellisena el.) Dua de
re rideantur plura, ad prOP. 22. dC L HaCOPeaIC OD CA II.
SGi HOF. F∞ M.
Y Ac aucem sire Sinuum vertorum sive Arenum tigura Ara, alia non est Fig. X
LL quam, Dimidia Semicylindri (plano oblique secti) Superticies curra l pla  C.
num expansa: Seu Semiguadrantalis Ongula Semieytindrica Superticies curra M
nea curras ul plat  expanla.
planum expanla. Paque qua termindeut. uoa Clera A d7, eA Sehet plCdS
respondenc rectabb in Lrilinet plano. E e Det Conteructioe) alcll
quales.
Incellixatur enim super Semicireulo ax BF8. F7F. (qui sit ipta A aB ti3. 169.
aequalis, adcoq: illius curra = Ba, HB. F7 T. Curra hujus AB a, H13. 169.) Semieslindrus
rectus, alcicudinem A a ipsi A a tiz. 760, 270. aequalem llabens. e secet pla-
num chspseosrb A, (quod ipsi peraxem Cytindri plano a  ec ) ablcl
dens Semiquadrantalem Ongulam rb A a; cujus luperticiem curvam compleai
(juxta del. L. Cap. 4.) Parallela rectae Bb Sc. linSIB CMra Ba PIHCLIS MIeH-
tes: (uc e patalleli areus bB, _c. Pingulis recta Ha Pul currentes.
Sumplo sati I L Vate 2Ba 118. 176. Puncio Guoro B, elt scipondear
recta, sicBb. Dico rectam hane Bb in curra Onoula superticie, aequalem esse cor
=B xoualISrBrectae, hoc et alcl a B. Sece  o Popler aequales cir
culorum DiametrOS:) Adeoque hujus linui verso a V, Fis. 169, 270. aequalis
est illius tinus versus ra; hoc est, (propier angulum semiquadrantalem, ). ver
pendicularis a r; et (propier parallelas) ipsa Bb in Ongulae luperticie curra
Sed d eidem aV fig. 270. aequalis elt (ipli paralleta) Bb in Prilinco. A quales
itaque lunc, quae in Ongula luperticie curra, ee quae in Zrilineo plavo, rectae BB
relpcellre Tumpea. (Similiter ostendetur, areus bB, dD, ecc. Hg. T7F. aeguales
elc rectis bB, dD, Sc. H8. 170. hoc elt, arcubus AB, AD, Scc. FS. 269.) Cumgue
hoc ubique obrineat: Fxpansa in planum superticies illa curra, Frilineo super. im-
Polld coneruet: adeoque cum coca coci, cum parres partibus relpectire sumpris X
(Pura, Superticies currae AbBa, Ab B, iptiS ABBa, A bB; planIS. L lic
ubique.) Iplaque qua, in superticie Ca etat Semicllipleos curra rbA
quam Ficuram Sinuum Versorum, Louumve, diximus.
cadem, in superticie expanla, est sinuola curra r b A terminans Frilineum AI T e
Es2
170
Eodemmodo; si incellientur idem r A semieylindeus, plano A a F secari, Seni- Fie
quadrancalem Ongulam A Jn abscindence, (cujus irague lituco sn SC batIS se
midiumerro aequalis:) Mendelu, pellierem Oneulae curvam F S A i in planum
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