[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, fol. 765
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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
- Ddddd3
- udt
Cite
[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, fol. 765. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0785?run=74