1^743 
' Biit, what is the proportion of r to or ( which 
depends on it / of i -- r to i, or itom) remains to be 
inquired by experiment. 
^2, If tne progreflSon be not infinitely continued ; but 
endf^fuppole ) at A^, and its leaft term be -4 =zMNi then, 
out of iT^— — — 4" '^c. IS to Be 'fobdufted 
K — I m * mm m 
Y as at ^ 10 / that i^. f as by divifion will appear ) 
^ ^ 4"^^<^ Tha!t)isf in our prefent cafe — + 
— -^r ^c* And tlie iiggreaate will be — — 
4- — r- &c. .= - — • - 
[)CiAnd:thu&as tOf the line of Projeflioo^ in which ( feplud- 
ing the ^efiftan^e /jche niottipn is reputed uniform dif- 
patcliing equal lengths in equal times. Confider we next 
the l ine of Deicem, 
23. In the Defcent of Heavy Bodies,, it is /fuppofed^^ 
that to each moment of time, there is fuperadded a new 
Impulfe of Gravity to what was before: And each of 
thefe, fecluding the confideration of the Airs refiftanee, to 
proceed equally from their feveral beginnings j through 
the fucceeding moments. As (in the ereS lines) 
I I I 1 &c. I r i &c, 1 t 1 &c. and fo com!--- -I- . 
tinually as in the lineofof Projeelion, • '^'"^- i ^:li::iF!fr ^ 
24. Hence arifeth ( in the tranfverfe lines J i i i 
for the firft moment i , far the fecond i-j-i, i i i i 
for the third i -f i + i? ^nd fb forch, in A- . 
rithmetical progreffion : As are the Ordinat^s ^ • f .0 c 
inaTriangle, at equal diftance; ^di intjl^nqtji fi^ 
25. And fuch are the continual incromients of the Di- 
ameter, or of the ordinates in th^ exterior Parabola^ an- 
fwering to the interior Ordinates, or Segments of the Tan- 
or gens 
