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# Title: [Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ (shelfmarks Leibn. Marg. 70; ZEN Leibn. Marg. 70)
# Folio 118, page id 799199311:0134
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cu habebi rationent Guacalt bB ad quadrarum _ N; hoc cAt,
cam quam quadracun  act Guautatum R R, in Aisura proportio
cicularum lefenes baDa plano eC, adlummam alteram qua
dratorum, 2 distantiis parricularum sComenti NM M e, ut qu. v V ad
qu. R R. Fademque rarione ostendetur, lummas quadratorum à
distantiis parcicularum in reliquis segmentis solidi a B CD, eNsc in-
ter se in ratione quadratorum qua hunt a rectis in figura o vY,
qua basi cujusque scomenti respondent. Ouare lumma quadrato-
rum, a distantiis particularum omnium Ceomentorum (olidi a B C D
a plano EC, eric ad Cummam quadrarorum, a distantiis particula-
rum segmentorum coridem, maximo leomentoxqualium, hoc cst,
Cylindrivel prilmatis B oss, candem cum solido a BcD balin alti-
tudinemque habentis, licue quadrara omnia reCtaLUM V V, RR,
e0, _c. adquadrata coridem marimor v aequalia, hoc est, sicue
Colidum rocundum or v circa axem o e, ad cylindrum V V a2 52,
qui balin a alticudinem habeac candem. FTanc rerorationem (o-
lidiovradcylindrumr v 552, componi constar ex ratione pla-
norum quorum convertione generantur, hoc est, exratione plani
Oev, adrectangulum e s, a exratione distantiarum quibus ho-
rum planorum centra praricatis ablunt ab axc oP; hoc eA, _ ex
ratione e pad P A. FFprior quidem harumrationum, nempe plani
oev ad rectangulum Po, cadem est quae solidi AB CD ad cylin-
drum vel prilmaB DSs, hoc est, eadem quae numeriparricularum
Colidia B CD, ad numerum pascularum cylindri vel prilmatis BD
55. Altera veroratio, nempe r 8ad P A, elteadem, ex constructio-
ne, quae sparii 2 ad rectangulum B C K. Hlabebiritaque dicta lumma
quadratorum, a distanciis omnium particularum Tolidi A B C D à
plano e C, ad lummam quadratorum, a distantiis omnium parricu-
larum cxlindri vel prilmatis B D Ss ab codem plano, rarionem eam
quae componitur exratione numeri particularum Colidi a BCD, ad
numeru parricularums cntes pumaris BDSs, d exrarione
spacii 2 ad rectangulum BcK: hoc est, rarionem quam habet re
ctangulu lip pe ru pulcaulau ABCD.
dratorum, a distantiis parricusarume udem prilmaris vel cylindri
118
CHRISETANL AVOENIE
DE CENTRO
DSCTLL A
CrOMIS.
nali. Fricigitur de dicta prior summa quadratorum, a distanciis par-
adrectansulum BCK, mulcip lex pernumerum parricularum cylin-
drivel prilmatis B D55. Aequi quarta harum magnicudinum xqua-
lis est sccundae; nemperectansulum B Cx, mulciplex pernumerum
Parcicdrum cylindri vel ptacts D053, a guare cummae qua
BD55 a plano EC; siquidemrectansulum idem B CK, mulciplex