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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 803, page id 851387705:0823
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∞. ZX. DeCalculo Centri Cravitatis.
culo rectis Faq F, a Da, Cc. in legmenta numero aequalia, Tincula sinontio resrre.
clire cortesponena. Ductisque insuper in Semiercloide, a punctis E, 6, S, _c.
rectis ZX, 6p, so, ec. quae parallela lint rectis 62, SacC, ec. Ferunt anguli omnes
XEX, 26C, d50 _c. aequales, cum inter lo, tum ipsi Fer, cum cuilibet anoulorum
T_F, F a P, F a D, ecc. qui item (propter aequales arcus a H, E E, LD, ec. ) sune
80
Fig.
1675
19. 16
MItet se aequales.
Pravezus; cum Semicireulo, lisura ex Priansulis correlpondencibus constans
Fruncque illa inseripta Prapezia, Friangulorum inscripeorum, lingula lingulo-
rum respectire sumpeorum, (adeoque de omnia omnium,) plusquam Fripla.
Constat enim Fraperiorum illorum quodlibet, ex Priangulo simul de Parallelo.
prammo. Duorum illud est Priangulo sibi correspondenci in Semicirculo (fig
267 Teu 269.) ubique aequale; (quippe timili, et aeque alto.) Hloc aurem, illius
plusquam duplum; vepote correspondenti in fis. 170. Parallelosrammo aequale,
(aeque alcum scilicet, et super aequali base;) quod respectiri Trianguli plusquam
duplum esse, ad 5 A. CprOP. 27. octentum ell. Puca Prangulum rED H3. 167,
aequale Friaroulo Z a P tig. 267 leu 169; e Paralleloprammum 2GEX, f0. 167
aequale (utpore aeque alcum et super aequali bale) Paraltelogrammo correspondene
ZCEr H8. 1,0: quod Frianguli correspondentis Z. a P plusquam duplum este, ad
S A. PrOP. 17. demonltratur: Adeoque Pocum ZCEP Praperium, ejusdem =SP
Teu Z0. P Frianculi plulguam Lepem. Lc sic ubique
Deinde concinuaris rectis a Z, a Z, a D, _C. 2d , B, L, dcc. rectisgue EX, 62,
dd ecc. ad g i, y, ecc. rectisque Ex, 65, _c. ad 1,v, _c. ductisque rectis tun
AOq X I, Z Y, Scc. Im X1 I ZVY, Sc. ip(I ra parallelis: Civenmscribatue, cun
Semieycloidi Fisura ex Praperiis, cum Semicireulo Fisura exuLriansulis corre.
gulorum respectire sumpiorum, (adeoque ee omnia omnium, )minus quam Pripla.
Conllarenim Praperiorum horum quodliber, ex Friangulo simul et parallelo
liiii2
BFAMIO.
10b.
Ductis porro, cum in Semiereloide rectis XO, ZP, dr, ec. tum in Semicirculo
ZO, Z. P, DR, _c. bati ra Bacanens, eribatur, cum Semiereloidi, tigura ex
spondentibus constans.
Fruncque illa circum scripta Frapectu Ceet Porum Prianguloru, HSa HIM.