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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 692, page id 851387705:0712
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-25+
DeCalculoCenri adibuis.
APD = APD, tinicum. Et distantia Centri eraricacis, =
Trem: Si Plani Series Tridicem habeat s = =, (quae elt Semi parabolae:) Soli.
dum convertione factum, exit,  NP = = N P. Fujus momencum -
NPD = = N PD. Dictancia Centri Gravicaris, = D.
2s.
Aeque ad eandem Formam Fiet judicium, quae cunque sic expositi Plani series isti-
utmodi ex definiris i_ deL. E, 2, hujus.
Ericautem, in Solidis hilce, incegra convertione factis; Cenerum pravicatis, in
Fig. 123, ipso conrertionis axe; per s hujus. Adcoque in ipsius illo puncto, quod diltan-
tia ab A, jam demonstrata, delionat.
Semi Tolidorum rero, (quae semi conversione deseribuntur,) aliarumre porrio-
Fis. 132, num duobus per conrertionis axem planis interjectarum, (puca, quae convertionis
intesrae Priente, Ouadrante, _c. describuneur;) Cencrum graricaris erit in illo
per convertionis axem plano quod per Cenerum gravitaris fisura plana recta AD
deseripea (adeoque per reliquarum huic parallelarum, urpore limilium de limiliter
ad axem potitarum, Centra CiravitatIS,) trantir: quod probabitur ex 4 hujus.
Ouodque sic in ea quam dicimus d convertionis axe distantia; sic constai. Cum
Superficies Cytindricae ex quibus contlari intelligatur solidum, (ut lupra ostensum
clt;) adeoque et harum porriones similes quancacunque intesrae conversionis
parte deseripixe, (propter arcus similes, peripheriis suis inteoris proportionales;)
Linc series indicem habens ) + I, ret = sF I, (adeoque si extima dicatur P, CrUINE
simut omnes uE NP, ret NP;) tincque carum ab axc convertionis
distantix, adeoque (propter similium Figurarum Cenira Graricatis similiter Fica)
diltantix Tuorum Centrorum graritaris, rectarum in expotuo plano quibus deseri-
buncur distantiis ab A s proxortionales; adeoque ut series indicem habens L, (ut
lurra octentum est:) Prit momentorum series (respectu axis conversionis As)
indicem habenss  2 vel -s + 2, (nempe s + s f L, vel = s. + F + T:) Ec Simul
omnium Nomenta (posito D pro distantia Centri graritacis extima luperticiem
recta DB deteripiae a conversionis axe AS, ) ut , NPD, vel - L. - WPD: (per
(+
Zhujus. ) Duod, per  = NP, vel =,,  NP, summam Ponderum, diritum,
exhiber  = D, vel = s. t = D, distanciam Ceneri eravicais Csiquod At) ab axe
convertionis AS. Ouod erat proposicum.
Porro: Si pro circulis cirea AS axem convertione rectarum AD ee truic paral.
lelarum deseriptis, dum sic D As angulus rectus; adeoque, axis A s’ad illos rectus:
Incelligantur cocidem circuli, his respectire aequales, cirea candem As ut axem
inclinatum, quocunque applicationis ansulo circumpotici; tiguram solidam com-
plere: Vel eriam; li, pro cireulis, incellisaneur alix figurae planae similes, et li-
militer polira, circulis illis proportionales: L.adem uccunque, quae prius, manebit
demonstrationum vis.
Vel denique; Si, PrOPTeF D AS angulum Acurum Obculumve, conversa circa
AS ut axem figura plana A D BBs; loco circulorum recta D A ee huic parallelis
describendorum, deleribantur conjex superticies Conrexae Concarare: Similiter
ad superticiem hanc Conicam, recta D A descriptam; atque ad circulum eactem, ut
prius deseripeum; (de de reliquis limiliter tuic parallelis;) eadem accommodabieur
Demonstrationum vis.
Denique, quemadmodum in Propolicione hac esimus, de Solidis, conversione
Planorum circa rectam per rerricem Ordinacim applicatis parallelam, descripeis;
COEIIGUE CCMErIS BTATIIATIS: Pronus cram idem praeltare in aliis Planorum con
versionibus;
V
Cap. V
= 2, LlIa.