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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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Prop. LR. De Calculo Centri Craritatis.
Ut 2 ad 5. Distancia Centri Graritatis; ad semi laticudinem Pa
rallelosrammi; ut 3 ad 3; seun ut 5 ad 6.
Atque in reliquis sumiliter.
Fritque Solidorum ejulmodi, intesra conversione descrixtorum; Cen
erum Craritatis (siquod est) in iplo conrertionis Arc; ejulque illo
puncto quod distantia jam tradita designat.
Seini-solidorum vero, (aut alias imperfecta conrertione deseriptorum,)
Centrum graritatis (siquod habent) est quidem in dictantia jam
altionata a plano quod ab axe plani exposiei conversione describi
tr et in illo per Axem conversionis plano quod per Centrum
Graritatis Rourx planae, expoliti plani Axe desCripEa, TranSIC: AL-
que in illa ab axe convertionis distantia, quae elt ad modo dicti
Centri sraricatis inde distantiam; ut index seriei exposici Plani
Binario auctus, ad cundem Indicem Ternario auctum; vel (quod co-
dem recidit) uc Index seriei Solidi conrersione facti Onitate au-
ctus, ad cundem auctum Binario.
l
Ouodque de Solidis convertione Factis dictum eAt: idem similiter in. N.
telligendum exie, de tiouris aliis: si pro Circulis (corumre POr-
tionibus) conrertione deseripris, incellisatur ex similibus figuris
planis quibustibet (circulis illis proportionatibus) similiter ad con-
rersionis axem policis, Solidum conctari.
Ouodque jam traditum est; Supponendo ordinatim applicatas in ex-
polito Plano ad hujus diametrum vel axem ad ansulos rectos con-
icutas; adeoque conversionis axem ad plana circa illum polita
rectum esse: Petinde verum erir si ad axem uccunque inclinatum
intelligantur similia illa plana parallela ordinatim poni.
Irem; Si ejusmodi exposita figura plana dimidiata, cujus orctinatim.
aeplicata non sint ad anoulos rectos, sed ad diametrum Cuam ut-
cunque inclinatae; convertione sua solidum describere intelligatur:
describet exposici Plani Diameter, (quaeque huie lunt parallela eo
eta,) non quidem circulum, (ut tactenus;) sed lupeiticiem coni-
cam (conrexam concaramres prout ansulus, quem cum conrersio.
nis axe facit Diameter illa, acutus obculutre tuerit:) ad quaM L2-
men superticiem Conicam accommodabuntur omnia (mutatis inu
tandis, ) quae de circulo illo, ejulre Plano cradita sunt.
Denique: Ouxe de fioura, circa rectam in rerrice ordinatim applic
eis parallelam conrerla, hie cracca lunc; ad conrertionem circa
rectas alias, alio sicu politas, Facile accommodantur; Puta, circa
Basin, aliasre huic parallelas, sire intra sive supra figuram pOsitas;
circa Arem, aut huic parallelas, ultra citrare tiouram positas, sive
adjacentes, sire urcunque remotas; aliasque sicu multis modis va-
riato. Ouibus casibus omnibus, pro re natam principia jam tradica
Facile accommodabit prucens Geometra.
iSto enim expolicum Planum, cujus ordinacim applicatae ad AD diametrum A.
vel Arem, linc secundum seriem directam ADB, cujus Index sic s; vel IC. Fi8. 129,
cundum seriem reciptocam, ut A D B BS, cujus IndeX SIE = s. AEque inreliSaCuFL3C, +35.
cirea rectam, ad eandem AD, in a, orctinatim applicatam, PuTa AS; converti.
Deleribent recta sic conversae, superticies curras Cislindricas cirea A S’UE AXEI;
quae quidem supersicies currae aequantur cocidem Patallelogrammis quorum Bales
aequentur rectis conrertis, alricuees en peripheriis uno aliquo eorum puncto
dele: (Ouippe curra CMariea, expansa, cum hujusinodi paralleloseammo
colncidet.) Sune isitur illae luperticies Curra Cytindriex, in ratione, ex recta-
rum converlarum, ee peripheriacum sic deseriprarum, rationibus composica: (per
i