Opusgula. 195 
pertinentes ad finum totum — r , erunt S N = S'h./, 
CN rrC^h./; fed K-C::TM:SN::GM:CN; ergo ^ : 
C : : S h . ? : S h . X : : C h . ^ ; C h . / j crgo S h . — S'h . /, 
Ch.^rr-^ Ch.j". Igitur asquatio evadet ~ S'h . i- — ^ 
\Ch.s = z,qux congruit cum ea , quae legitur in prima 
difquifitione . 
In hypothefi motus xquabib'ter accelerati quum fit V 
— ^ C C -\- fx s , inveniemus V =z ~r ^^^^^^^ itaque 
provenict ^^^fdt C h . ^ - i^Ai.'/^/ S h . / r ^ ; fed 
{dtQ\i,t — r^\i.t-\-"~ A, ^ fdtSh.t — rCh.^-l- 
— J5: igitur efFedis fubHitutionibus fiet 
STT^' H- r ^ S h . ^ , 
^ =r r z ; fed C h . ^ — S h . ^ 
Ch.t — rBCh.t 
k 
z=L r^ ; ergo ^Sh.^ — BC\i.t — z-f- . Hxc sequa- 
tio transferenda eft a finu toto r — -j~=. ad finum totum 
y _ ^jj_tmh^ ^ Cum his femidiametris , qu3e funt ut k:i [jl^ 
defcriptis hyperbolis duabus K T , H S , fit -^— — t ; erit 
2 ^ 
k:2ix:: =z t : ^ ^^L^^V: ergo N S :rr S' h . T, 
CN = C h . F": finus & cofinus fpedantes ad finum totum 
r fupra fignamus . Atqui k: 2 u : : S h . if : S ' h . F: ; C h . ^ : 
C \i.V: ergo Sh.^ — , Ch.t — : igitur 
quando etiam r — ^ , aequatio fiet — S ' h . V — — C h . F 
=r z- -f- — - , quae convenit cum illa, quam expeditior me« 
thodus fecundx difquifitionis exhibuit , 
J3b 2 Pro- 
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