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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 21, page id 797435492:0229
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 B C L L10
unius anguli rectilinei circa alterum Coniea superficies, ex rectariouli
trianguli circa erus unum anguli recti conns iple detormatur; coque
pacto cum interra cum suis Curvis Superficiebus Solidae magnitudines
innumera, tum ipsarum portiones, frusta, tubi, annuli procreantur.
Cujulmodi morus hac praecipua provrietas est, quod lingula quaeque
masnicudinis circum ductae puncta peripherias obeant circulares (inre-
seas quidem illas, modo perfecta Ci revolutio, seu mobile denno
primum in Citum restituatur, ac limiles urcunque sibi mutuo, qua
limul deseribuntur) quarum omnia Centra lune in dictoaxe, radii
vero lune rectae ab iplis punctis ad axem perpendiculares. Vel:
quod omnes in mobili Cicxe rectae linex axi perpendiculares efficiune
circulos (Ei rerolurio vonatur inteore peracta) aut circulares similes
sectores, illos intelliso qui timul eodem tempore delincantur. Ucs Pis.. 9.
V. 8. linea quaeris circa AXCM V R otetux, eo procreabitur motu curra
quaedam Superticies, circularibus quasi peripheriis constans (Ato-
mistarum enim phralin facilicaris, perspicuitaris, brevicatis, addere
licet ex rerilimilitudinis caus a non illibenter uturpo) circularibus, in-
quam. Peripheriis AZ, BY, CY, D P per puncta A, B, C, D reli-
quaque qua sunt in VD cuncta decircinatis, quarum radii sunt rectx
AZ, BZ, CZ, DZ axi perpendiculares, eCentra L in aXC.
Ouod si rerolurio tantum cousque continuatur, donec V AD Cic in
Rc_ V as, constabit effecta Superficies ex arcubus Aa, B6, Cy,
DS, Cimilibus inter se eodem modo si planum V DZ circa axem
VR revolvatur, polito quod inceora perasarur conversio, produ-
cetur Solidum quali constans innumeris circulis parallelis A Y, B Y
CF, DY; quorum (ut prius) radii AZ, BZ, CZ, DZ,
centra Z; Politoque quod circulario delistie in litu dvR, constitue.
cur Solidum e Sectoribus AZ a, BZ6, CZ V, _ reliquis inter se
limilibus. Caeterum praetermirrenda non est animadversio quaedam.
perquam utilis, ec necessaria circa modum superficierum, es Soli-
dorum hoc modo re (altantium dimensiones investicandi juxta methodum
indivisibilium, omnium expedicissimam, es modorite adhibeatur hand
minus certam es infallibilem. Objicie huic methodo non lemel, in
pererudito suo de Solidis cylindricis ac annularibus libello, doctissimus
A. Tacqueins, eoque se purat illam destruere, quod per eam in-
VenEx conorum, Ss Spherarum superficies (quantitares horum intelligo)
verx per Archimedem repertae ae tradita dimensioninon respondent.
Sic exemplo rectus conns DVY, cujus aXis VR; per cusus omma
puncta transire concipiantur axi perpendiculares recta LA, LB,
L C, IL. D, _cC. C quibus nempe juxra methodum atomicam com- E1s. 20, 173
POMITUE 12.