( 5^74 y 
Ejufdem Doaoris IV Al L I S I I 
Non-nulla, 
Dc Cmro Gra'ditatis Byferhola^ 
Pr^greflae Epiftds fubncxa. 
T 
Andemvero, ne nihil habeas frd>ter Cmint^mmUohhlu^ 
mn tanti res ep.m de ea multum fis [olkitus ; ) Uket hie ameEierg^Dz 
Centro Gravitatis Hyperboles mnmhil ^ ( fr^terito Anno confcriptum •) 
Mifcel!mei4 illis.fi placet .fdiHngendum.^qn<^ habemm Prop. i. Cap.XV, 
De Motu. iV^;^/?f,pag,753. ibidcra. 
JO. Hdic addantnr. 
II. Btiamhoc addo Spatii Hyperbolid, five interioris five extern 
otls^mn qtiidem ipf^m Gravitatis Centrum ^fed ReQam in quk efi^ feu Axern 
iEquilibfii exhiberi poffe, etiamfi ignoretur Plani Magnkudo, 
^1^^ ^^ '^^ ^^f^P^ ByperboU HhV^ Centrum A, axis A X, vertex V, 
11 ^^^^^ re^hm'L, axl^ tranfverfusJis^lS^^ axes intercepts fD=zD, Fifed, 
ordinatim- ^ipplicatds HD^M^ hd-^h^ axu-conjt^'gatmAA, ad que?n ordina- 
tim -appHcata Ha=K, /?/=:k, ajjmptotarum alteri Axs parallela HS-zz^ d 
filter am ASzz A ordinatim- applicetur , & VO'/id A a=:E h s ad A s y atfi 
intelligatur S Aff angulm re^m 'y fitqtie OS (^h-'E) 
Sunt {propter hz=L ^ ': d L+ ~rd ^: ) ordinatarum ad axern femi- quadrat Ay 
feu momenta refpeUu AD, i L d + ^ d ^ • & ( propter Omn ; d, =iD\ 
& Omn . d%=.| D%)fimu/omma^ feu Momentum -totius HfDrefpe^ti 
Idem (pr&prer k^^J'-S ^ +'^h ^ :) erdiriatarm ad axern conjugatum femi\ 
quadrata, feu moment^a refpeUu A^ , i S ^ 1 h M & ( propter Oitin . ' 
h^jsr^H^^ fimul omnia, feu totius A FH A, momentum refpe^t* 
i P H ^ Mnod ex ( totius A D Ha momento) t K ^ H i= 
i Ht.i fubduElum , relinquit refidul HfD, refpeBu A^, mo- 
ment urn 5^ H ^ . 
Ergo ( propter Mipantlas moment is froportio^^des^ ) in DH , 
fumpta DG, qu£ ft ad AD, ut^LD^ I> ^ ^d ^ ; hoc eji , 
3 T L " 4 2 D 5 4 T " H erit In (junBa ) AG, iffi^^^ 
centrum Gravitatis utpote cujus punEia fingula -in ea ration^diftmt 
A D^ A A, 
idem oht inebitur ope momenti i pfins H VD refpeBu Afymptot<^ Aff* ' 
Eft(pef § D Prop.ji. Cap.5.; ipfiu^s 0VH3, refpeEin Aa, momentum 
ABO. Efi autem Trtanguli ASX ( s= \ A% ) refpeUu ejufdem Aff, rmmen- 
turn \ h? S & Trianguli AOFmomentum^ -^pofitifque iFfX(= A--tB) ==j^» 
& DB (parallela AS) trYy ade&que HDX-^XY , hujufque ah A^sdi- 
ftantik centri Gravitatis k'^\S^ ^ erit Trianguli HDX^ refpeBu A(r, 1^^' 
mentnm i KXX X^K Ergo (propter HFDrzASX^Aor^orHS-Hl^J) 
fp^iis HP'D , refpeBu As- , momentum i - i - ABO - i ^ 
