( $o74 ) 
Ejufdem Doaoris IV AL L I S J I 
Non-nul!a, 
De Centra Gra^bitatis HyferboU^ 
Praegreflag Epiftolae fubncxa. 
Tandem vero, ne nihil habeas frdtter CoTi^xxi^ium Hobbium,(f«<< forte 
non tanti res efl^m de ea mHltum (is folicitHs ) lihet hicanneElere^T^z 
Centro Gt avitatis Hyperboles nomihil s ( frdterito Anno confcriptum •,) 
MifceI!Anel4 illis ^fi placet .[tih^ungen^um^qviA hahemns P rop. i . C ap . X V, 
De Mctu. iV<?»?/>(f,pag,753. U26. ibidem. 
fo^ §. 10. Hdtc addantur. 
II. Etianihoc addo. Spatii Hypcrboliei, five intcrioris five exteri- 
or is ^non fmdem ipf^m Gr avitatis Centrum ^[ed Red am in qua efl^ feu Axem 
jEquilibrii exhiberi pofle, etiamfi ignoretur Plani Magnitudo. 
F/i IW^. ^^^^ expoftta Hyper boU H h Centrum A, axis A JT, vertex V, 
11 i^tus rellumL^ axis tranfverfusT^iS^ axes intercepts rX)=D, Vdrzd^ 
ordinatim-iripplicatA HDt=M, hd-=hy axis conjugatH4 Aa^ ad (juem ordina- 
tim-applicatA Ha^^S.^ hS^i^k^ ajymptotarum alteri A<s parallela HS-=.^ ad 
alteram AS:=zk ordinatim^applicetur , <^ VO]ad AO^Ey& bs ad As atf-y 
intelligatur SAff angulm reUm \ Jitque OS A-E j =0. 
Sunt {propter h = ^/ :dL+^d^: ) ordinatarum ad axem femi - quadrat a ^ 
feu moment are fpeEiu AD, iLd + ^d^^ & ( propter Omn : d, =i D % 
& Omn . d ~ D ^,)Jimul omnia y [eu Momentum tetius HFD refpe^ti.^ 
Idem (propter k = 7 : S ^ h ^ : ) grdinatarum ad axem conjugatum femi- 
sjuadrata, feumommarefpeEtu A^^ i^^^^^^S ^ (propter Omn. 
fe^j=3 H jimul omnia, feu tatius A FH A, momentum irefpeliu A^^ 
i f =^ ^ H ^ S^od ex ( totius ADHa momenta) i K ^ 
i Ht ^ fubdu5lum i relinqmt refduiHFDj refpeBu ^A, mo\ 
mentum H ^ . 
Ergo ( propter difiamof momentis proportih^des^ ) in DH ^ 
. fumpta DG, qm ft ad AD , ut ^ L D ' +^ D ^ ^d^ M 5 ; hoc efi 
3 T L ' D " + 2 D 3 4 T " H 3 S erit in (junBa ) AG, ipfim HFD 
centrum Gr avitatis • Utpote cujus punHa fingula in ea rations difiant ab 
AD, A A, 
Idem obtinebitur opemomenti ipfius HFD refpeSlu Afymptot<t A(f^ 
Eft (per ^ D Prop.3i» Cap.5.j ipfim OFHS, refpeBu A(s, momentum 
ABO. Eft AUtem T rianguU ASX ^ A^ ) refpeciu ejufdem A(t, momen- 
^ turn f AM ^ Trianguli AOFmomentum \ E ^ \p9fitlfque /fX('=A-B)=X, 
S-DB ( parallela AS) z=:Y, adeoque HZ)X=iXY, hujufque ab Affdi- 
ftantia centri Gravitates A—^Y^ erit Trianguli HDX, refpeUu Affy m- 
mentnm ' AX Y-t X Y^ Ergo (propter HPD= ASX^AOF^-OVHS-HDX) 
tpfim HFD , refpeBu As- , momentum \ - 1 - ABO - j AXY + 
iXY\ ' ^ Erg, 
