$26 
mane obs. (1584) the diftance of cor iP 
from (here the name of the ftar is not le- 
gible) ....TQ 45° 51'4, and my obiervation 
was 45° 50’ 56", the iame to fenfe, where- 
as Ticho’s data require the diftance to be 
§6° 57'—The appulfe of the moon to 
(22 March inftant) I intend diligently to 
obferve, and hope you will doe the like. 
¥ beleive that about 9 P. M. her nore 
thern horn will goe near to cover him, 
Original Poetry. 
[Nov. ft; 
fidering the conftruétion of the Nauticall 
‘Chart, commonly called Mercator’s, deo 
figning a difcourfe upon that fubje& in 
the Philos. Trans. and by help of a difco- 
very I have made of a rule to find the in- 
teryall cf meridionall parts, anfwering to 
any differences of latitudes given, I have 
folved all the poffible cafes except one, 
which, without an infinite feries of feries, 
I fear, will hardly be refolved, and "tis 
which, if it doe, I wili note the time of \this—-s« A fhip fails from a certain given 
the immerfion and emerfion, otherwife the 
time of the right line with the Horns. I 
defire you woud fend me the like obierva- 
tions made with you, whereto I fhall fub- 
jain my own, if the heavens favour us. 
Theie, Sir, as a-fpecimen of my aftrono- 
sical endeavours, I fend you, being ambi- 
tious of the honour of being known to 
you, of which, if you fhall deem me wor- 
thy, I fhall account myfelf exceedingly 
happy in the enjoyment of the acquain- 
tance of fo illuftrious and deferving a per- 
fon as yourlelf. Famiy Sirg 177 
Your’s and Urania’s moft humble 
Seryant, though unknown, 
Queen's Coll. Oxon. Epm. HaLiey,” 
LETTER If. 
_. Dr. Halley to Dr. Wallis. 
® REVEREND SIR, 
E fear I have too jong trefpaffed upon 
your goodnefs, in not returning you Mr. 
Newton’s Letters, with which you were 
pleafed to furnifh me to my great fatisfac-~ 
tion; for therein I find what I mot 
wanted in the doétrine of feries, viz. the 
method of reverting them, wherby the 
whole is rendered compleat, and there are 
very few problems that yeild not to this 
procefs. Sinee my laft, I have been con- 
latitude (fuppofe of 50 deg.) 500 leagues, 
and in that courfe has made zo leagues of 
Jongitude, I demand the courfe on which 
fhe faild, it being only known that it is . 
between the weit and fouth?—I know 
this is of no fort of ufe, becaufe this cafe 
Goes not occur in navigation, but without 
it the {cience cannot be efteemed perfeét. - 
Yours,ifcen 
: E. Hatley.” 
*This letter is not dated, but the time 
when it was written may be very nearly afcer- 
tained, as Newton’s Letters, containing his 
difcoveries on the method of Series, Fluxions, 
&c.were circulated among his literary friends, 
and pretty generally known, before 1676. 
The method of reverting feries, which Halley 
here {peaks of, is contained in Newton’s tract, 
Intitied ** De Analyfe per Equationes, numero | 
Ferminorum Infinitas,” which was communicate. - 
ed to Dr. Barrow, and by him fent to Mr. 
Collins, July 31, 1669—See Collins’s Com= 
mercium Epiftolicam (4to edit.)5 page 3 & feq. 
—Raphfon’s Hit. of Fluxions, page 92, 93. 
—And Profefior Stewart’s Comment on the 
Tra& above-mentioned, page 
The ‘* Difcourfe,”” which Dr, Halley here 
fpealzs of, was publifhed in No. 219. of Phil, 
Trans.—-See Motte’s Abridgment,vol. i. page 
6655 and the ‘ cafe” or problem he mene 
tions was firft refolved by Ifrael Lyons of - 
Cambridge, , 
ORIGINAL POETRY. ~ « 
ee SS 
AD UMERAM GILEERTI WAKEFIELD 
ELEGEIA. 
TE guoque fubripuit nobis Libitina fevera 
Nofratis critici gloria prima chori ! 
Subripuit flenti fponfe, fobolique tenellz 5 
Flentibus agnatis, omnibus atque bonis. 
Que tua fors?—-Vixdum letis reparatus 
amicis, 
E trifi exilic carceribusque ¢cavis 5 
En! fubito traheris torvi ad veftibula Ditis, 
A queis nemo redit—-nemo redire po- 
teft. 
‘ 
Scilicetyinfipiens, fapiens, probus, improbys 
* geque, ; 
Obfcurus proavis, nobilitate tumens ; 
Plebs, princeps, pannis fqualens et murice 
fulgens 5 oa 
Pauperie oppreffus, divitiis que valens: 
Serius aut citius metam properamus ad unam, 
Quicunque hance auram hausimus zthe- 
ream ! } 
Sed quem non doleat, cernentem vivere vi- 
tam 7s 
Longavam folidos, criminibusque graves: 
Dum, — ‘¥ 
y 
* 
