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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 707, page id 851387705:0727
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Ollen
PFOD. LLII. De Calculo Centri Cravitatis
Incellisantur enim, cum a singulis punctis sire parriculis intinite exiguis Dia. Fi8.
metri circularis sire Axis Aa, Ordinacim applicatae, ad ssTansencem circuli Pa- 153.
rallelam perringentes, (parallelorrammum circumleriptum complentes:) cum 2
Semicircularis arcus ADa lingulis punetis, sive particulis intinite exiguis (parri-
culis illis Diametri aequalibus) Sinuis recti ad Diamecrum vel Axem A a demit:
(Duorum icaque numerus seu mulcicuda, repuranda erie ad numerum seu mulri-
cudinem ordinacim applicacarum, ut elt Consicudo Semiperipherix ad Diametrum
Circuli. )
Cum saque singula arcus Particula; Neu carum Fansenres, cum parriculis illis
exiguis quali coincidences; sinc, (uc jamjam oltentum elt.) in ea rarione magis
Obliquae, seu minus Alca, qua Breriores sunc Sinusrecti inde demilti: adeoque,
Areus aque alti, in eadem racione Longioros, indeque sinus demisti eo, plures in
eadem alcicudine quo breriores Punc; (et quidem eo plures quam finc in cadem
alticudine ordinacim applicatae expolix, quo breviores tune quam illae ordinaum.
applicatae Rachio aequales: ) Frune ubique, in eadem alcicudne, omnes limul. Sinus
recti, omnibus simul ordinarim applicacis, aequales: (. Tuppleure Scilicor MuICIU.
dine
Adcoque; Omnes sinus recti Cnadrantis A C D, omnibus Ordinarim applicaris. M.
Ouacrati ACA
HIOc elt; (Si incellisacur Arcus A D in rectam extendi; eique ad angulos rectos Fis
insiltere Sinus recti in luis respectiro punctis; et per eorum omnia excrema pun- 255
Eta duei curra, Pisuram terminane quae siigura Sinuum Rectorum dicacur; . Fii.
sura Sinuum rectorum corius Ouadrancis, A CD, Ouadraco Racii aeguralisierie
nii
Icem; Omnes Sinus recti, in Na D Semicirculo, omnibus Ordinatim upplicaris Pir.
in Parallelosramno A a Sid.
5 10111. (E
53.
Hloc ettu Fisura, Sinuum rcclorum corius semicirculis A C.a; duobus. Guadra Fju
ris Radiis  At cruli
Aceoque; Si conrinuaris sinibus, compleantur Subcentae duplorum Ateuum.
mavitestum elt (Proxrer Subtensas Sinuum duplas). Omnes Subcentds Semicirculis
aequari duobus Cnacraris Radii; ec Omnes Subrentastorins Circuli, quatuor Oug.
dracis Raclii, sive Duadrato Diamecri. Duod erat, eriam probandum: 1p3: 
Cumque hoc ubique obtineat; Idemesu parcibus non minus raler, B Byt m
(55.
N.
nes sinus Recti in porrianibus Ciroularibus ABH, LBCD, E BF GG GFHH) P18.
ec. aequales omnibus Ordinatim applicaris, in Parallelosrammis AB, 8GI BC 0; 254.
EBF V, yb AIn C. 1VCS
Hoc ett, (erpansis Arcubus in Rectas, crectisquonsinibus, de complera uc Fis,
prius figura d Fisura tigura aequalis uta E. B F Cellin Hgura Sinuum, X91a - 154)
lis Parallelosranmo: B F 7: Et sic in CaterIS. Ouod etiam et av prOBAR 155,
dum.
adedt et Si AES, N a I Cireule, jam consideretur, ut Libra, (in sicurPloris 10
ronali polita;) Similiter ostendetur ipsius particulas aequales lingulas, insiltencit Fig
by5, ( in suo lim) Sinibus rectis, aequalicer praratas elle; inon minus quuns ex 233,
oppolita paerem Dicirarim applicalte
e eu duvare ou. l
Adeoque;