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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)
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216
CMIRISTLANL AVBENTI
Orceurno ricatis cunei sui abscissi plano per eandem rectam r. Vel, guras Y
FFOUES.LL Ordinara existente, uc s r sic aris ejus, eadem quadratorum
a daDICuL li decur distancia ceneri gravicaris tigurae dimidia
52 F ab axcsr, icem centri gravicaris cunei, luper eadem dimidia
Prop. ir hui. figura, ab scissi plano peraxem ducto F. Freo, his daris, dabitur quo-
que summa quadratorum a perpendicularibus quae, à particulis
omnibus folidiA BC D, ducta incelliguntur in planum E a C. Inve-
nimus aurem ec lummam quadratorum, à perpen dicularibus om-
nibus in planum per E C ductis. Ergo de agoregatum urriulque
lummae habebitur, hoc est, per superius ostensa, summa quadra-
corum perpendicularium qua, a parriculis omnibus solidi ABCD,
cadune in rectam datam per e transcuntem, d ad paginx hujus
planum crectam. quod crac Faciendum.
A H E
ROeOSITTO XV.
Isdem positis, si solidum aBC D sit ejusmodi, ut ficura pla-
Lna SY FZ, ipsi proportionalis, non habeat notam distan-
tiam centri cravitatis a tancentibus Bx vel DZ, vel, ut sub-
centrica cunei super ipsa abseissi, plano pereasdem BY Vel DZ,
ienoretur; in ficura tamen proportionali, qua à latere est, OQP.
detur distantia +P, qua centrum cravitatis ficura dimidia
OP V abest ab axe o e; licebit hinc invenire Cummam qua-
dratorum a distantiis parricularum solidi a B C D à plano
EC. Oportet autem ut sectiones omnes, HN, M M, sint plana
similia; utque per omnium centra cravitatis transeat planum
EC; quemadmodum in prismate, pyramide, cono, conoidi-
bus, multisque aliis firuris continsit. At que eorum planorum
distantias centri gravitatis, super tancentibus axi oscilla
tionis parallelis, datas esse necesse est; uti Co subcentricas c
neorum, qui super ipsis abscinduntur, ductis planis per eas-
dem tancentes.
Veluri, si marima dictarum sectionum sIEBD, ex in D intelli-
satur recta parallela axi E, hoc est, crecta ad planum quod hic
conspicitur, oportet datam esse distantiam ceneri gr. Sectionis
BD a dicta linca in B, qua sic B C; itemque subcentricam cunci,
super sectione B D absciti, plano ducto per candem lincam in B,
quae subcentrica (IE BK.
Ltenums datto, GC VBaa + a
OSCTLLA
PTOP. 9. h