As TRONOHY.
[jf
ning of Cancer ; during which ■,
the inclined Position of the Earth’s ^ ^
The Logarithm ofThe Logarithm of
, O *o0
The Logarithm of Sine d — 23* 30' — - 9 '
— z =i8o =
— 0,01745=^/^
oli
Total, the Logarithm of dz — n,2$2 ~ 9 '?* {eThe Double of .which is 2,504; which the*’®* 0 pg¥ipresses the Heat of a Tropical D. y under th ewhich is greater than the Heat of any ^ a vr f , a t, ^other Latitude. Hence we fee the extreme of y fstwell as of Cold, -is found in the fame Place,the Pole. , str
29. It is a Problem of another Sort, ‘Toshe Heat is a Maximum, or greatest of all , ^ W
Da], In order to folye this, let tlje Semi-d!uttt a .^^z=a, z = Arch of the Hour from Noon, b ac yjfi',pf the Sines of Latitude and Declination, and c jfangle of their Co-sines. Then (per Spherics ,nite Series) we have the Co-sine of theKoon — 1 — £ z z + AfS 4 — 7*0.2% (fe. snd 1 .st Iof the Sun’s Altitude — c — £ez* st- ,’x c L 4fefc. -J- b. This multiply by a -J— sz is a c --j- c £* (0 ’r— f rz 5 -j- A o sz 4 -f -A c z 5 — T |-g « c z 6 st* Yt<> 'jfcfr. -f- « b -j- z b ; which therefore is proportional! ’Sun’s Heat, And this is greatest when its t}
‘equal to Nothing, viz. ci-\~bk-t a c z 3 z -j- A c z* z —dividing by z, c ■ -J- b
ez* — T lo a c z s , '&c.
v* * , -5
•ac%z-
ac z 3 % -f- A c z + i — livacz^z, isle. =
J. c
■ a cz-
: o; whence
i f z-+:^ CMc -f* b — g \
ac
z 4 4- — z?
24 a 120
I —5'
NowP
2ct 6 ’
the Series we have z
1 1= —, v :
. ; by
rev 1
hi
S rs — 5 r 3 —X As &c.
24 « izy _— ^
A — 1 r A? 2 V 1 —' *
k
fN