^^^i^^ J ^JWo^OPm%^£ir^ to^^ceG^ftl^^^^) ^prin- 
ciple mea revecatam ab origine repetam, V. Fig. 2. 
Ofteiifum eft, in mea Arithmetic* Infmkorum, prop.95. Sparium Hyper- 
bolium AD&ScT (in infinitum continuatum a parte ^ , fed a parte D/3 ubi- 
vis terminatum ,) Figura m efle quam ex Primanorum Reciprocis conflatam 
sppello, Prop. 88. definitatn : Cujus nempe Ordinatim— applicata 5 d£, d£, 
tint Primanis (feu ^rithmetice proportionalibus ) db,db, (Triangulum 
<oraplentibus) adeoque ipfis dA,dA, (fuis a vertice diftantiis ) Recipro- 
ce Proportionales. Hoc eft s (pofito A D= d j & re<ftangulo AD5 — b 2 ; 
partfculifque infinite exiguis a, a, &c ) fi a vertice A^ incipias ^ 
V V b 2 b* b* 
— &c. ufque ad — = D.3 : vel, 5 a bafe incipias, — — , — ; 
3a d d d-~a d-za 
b 2 b 2 
, dec. ufque ^d = A^ infinite, (nempe, fi ad Verticem ufque 
d -3a d-d b 2 
procefTum continuaveris vel, ufque ad - — = CP, (pofito D C = A , ) 
d — A 
fi continuaveriis ufque ad C£,ubivis intra A^ & D.~ fumptam. ( Adeoque 
b 2 b 2 b> b 2 
omnium Aggregatum 1 , - — | — 1 ~f" * h ' — > &c , eft ipfum 
d d— a d — 2a d — 3 a 
DC^^pkaum.) 
Manifeftum itaque eft, f & ibidem prop. 94. oftenfum ) fi intelligan. 
B 2 B 2 
tur fingula^ J?, in fuas a vertice diftantias Ad, du<5be* 3 hoc eft, — in ^ — - 
a 2a 
in 2a, (& fic de reliquis;) erunt omnia re&angula A d £ • hoc eft, refta- 
rum eta momenta refpe&u A (intellige, facta ex magnitudine in diftanti- 
amduftaj) feu plana femiquadrantalem Ungulam (cujus acies \Aj>) com- 
plentia, (eifdem d& reftis perpendiculariter infiftentia ; ) invicem aequaiia. 
Quippe fingula^b 2 . (Quorum cum unum fit A i V £ quadratum , eric 
Al=b.) 
Adeoque Totius (plani infiniti) feu omnium d $ il- 
lud complentium, momentum refpe&u rectae AJ^, (ut. axis aequilibrii ; ) feu 
Ungula feiwquadranralis eidem A D £ /3 cP infiftens ( aciem ha bens A £ « •) 
funttotidem b 2 ; hoc eft, d.b 2 . (Ungula magnitudinis finitae piano infinite 
magnitudinmnfiftens.) Ejufque pars piano infiftens (propter AC 
— d — Ajfimiliter oftendetur sequalis ipfi d- — A inb 2 . ductae; hoceft, 
d b 2 — A b\ Adeoque pirs reliqua, ipfi DC^ infiftens, sequalis ipfi Ab J , 
Quod itaque eft ejufdem momentum refpedu A /. 
P p p p I tque 
