Band 
Volume III.
Seite
207
JPEG-Download
 

V,

Astronomy.

'° Clt; «s are as V'Tto x"'ill ■ '

1 De-

'a

3 r ->~v 18 ^ g.

3,l41 59- Wherefore fay, As 3,14159 «J

sh ,.9 ,

therefore the said Times

T_y 8

3,14x59 , / 1

to A-X—Z that is, as —

^St)

: 10 aU. 14 • .

M ^ wj 11 describe the Arch P L. u im.u > u —

^ I,"? l0 0 oooooo, We have the Parabolic Area P L S- - - - ' r* . j w i

-J- —J, J.

j 0 9

h? o ' b H. 9' -. 109D. 14 H. 46', the Time in whichUI hEt Will ,h„ Arch P L. If then P 8'- =

iz^- '^'-'OQooo, tve nave ^ —---

■> I '^ t he^333 Parts described in 109 D. 14 H. 46';° re the proportional Parts for a Day and Hour

-jCf”

['Ant p^2t those diurnal and horary Areas are in dif-yMa may be thus shewn. Let p r q be a Pa-

s des -?s t0 ^ le former P R Qj then will the Timethe Arch P R be to the Time t of de-j ^fcrik- 6 ^iniLr Arch p r, as the periodical Time PC ' Cr ‘hift lsl ^ a Circle on P S to the periodical Tiroes of"P S ^ 3 *“* rc ^ e on P i' by the last Article. But P :AS P si n R: • yl :: T : t; also the similar Area?

\

®ities^p'o anc ^ A r S " a, are as the Squares of their

in the Y aiad P S 1 that is > A : a " R 1 : rh _ Nowtor Ti 111p Iatne figure equal Spaces are described in— 1 --.- XTi, of Dr

} Ti) Ule * aJne Figure equai apau^a -

, nt ai ile ,^ es , whatever Number of Days or Hoursin —j * u,„ 4 rPn? A and a will con sis

f s > whatever iNunmei w ..._ are

'tiany £ iri T and t, the Areas A and a will consist ofSUal Parts respectively j and v/hich therefore

^ Ca P the T p art 0 y ^ and —Part of a y or x and

;f o,, s r

A a R' r*

v r, ft t Ry/R t'v /r

i> A let „

^he j- 1 ? Quedfantal Area P S R of the Parabola^ j 0 lv *ded into 100 equal Parts, that is, let A-

Vir, , ^ En tTo “ 1 of those Parts, and so —: R-.in >l£ t>U 100

3 ^the: - A

5

j

the Number of those Parts described

A

‘ n will this diurnal Area be N X

100

A

T

ioy