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122’ A Sketch of the Hiftory of Pure Mathematics [Sept ty 
VI. Obfervations of Pallas, made at the Brera Obfer-||\W II. Meridian Obferwations of Pallas, made at the 
vatory, in Milan, on an equatorial Seéor, by Sig-||_ Obferwatory at Cracau, in Poland, by Profeffor 
nor Oriani. Sniadefki. 
oa 
Apparent | 
MeanTim\| Apparent right | Declination MeanTim| Apparent right 
1802. | at Milan. Afcenfion of \ of Pallas, 1802. fin Cracau.} -Afcenfion of 
Pallas. North. | Pallas. 
' aa Ra TIGLUSI TPR cea 
4 ihor. LR es 0)! eT see a sph dana ae 7 ° i Ss 
April2s5 j10 05 19| 181 15 06 18 51 48 \|April 2 9 52 32) 181 15 26,0] 18 56 
26) 9 52 O1| 18 11 38 19 ©O 53 ||—— 26 48 22! 181 12 04,3) — — 
9 19 54| 18 Og O1 19 ©Q 53 || —— 27 
29 |IX 52 27| 181 03 09° | 19 29 12 ||—— 28 40 06] 181 05 51,0] I9 17 57 
—— 30 {10 00 17] 181 O1 c2 19 36 17 ||——=— 29 36 oc{ 18% 03 °17,4| I9 27 37 
9 
9 44. 13] 181 08 33,8] 19 10 IO 
9 
9 
May 3 {'9°25 40} 180 57 cS 19 56 35 |l——— 30°} 9° 32.55) 181 00) 50,7) 9 35, 14 
9 
9 
9 
Mt 
—— 41] .9 17 13! 180 56 eg 20 03 08 ||May 1 27 $21 180 59 13,0] 19 41 43 
men 71 9.032715 180..56 34 Ul pol re 36 eee 23 521 180 57 53,0] 19 48 411 
180 
Thus far the obfervations of the new celeftial body, Pallas, are publifhed, but we fhall 
not omit communicating, in future numbers of this Journal, any new obfervations and 
difcoveries relative to the nature of fo remarkable a body as this appears to be ‘§ among 
the haces orbs, that more than deck, that animate the fky, the life-infufing funs of other 
worlds.”* 
For the Monthly Magazine. ometrician whofe eyes were opened, and 
A SKETCH of the HISTORY of PURE MA- Who began to fecond the efforts of Leib- 
THEMATICS, tranflated from “Traié tz. The Infinitefimal Calculus, con- 
Elementaire de Mathematiques Pures, CMS whieh he»( Bernonlli) pubidhed ani as 
par LEMQINE, Profefeur de Mathema- Effay, in the Leipfic Aéts for 1691, foon 7 
became, in his hands, a penetrating in- 
z t Phyfié onan 9 d , P . § 
ee Phyfities oe ftrument, which he handled with great 
ALGEBRA. dexterity. He ufed it in analyfing the 
[Concluded from page 24.] moft delicate problems in geometry and 
53. HE methods which Newton dit. Mechanics. When deeply reflecting on 
nee covereds dnd eRwenabled Wifi the properties of curve lines, he found, by 
to inveftigate all the great queftions in me- the way), that the evolute malign logan 
chanics and aftronomy, were for fome mic epial is 4 lager raga) ie 
time a hidden treafure, of which he wes the firft, and difich ine tice saat ay 
. Pee tion.  Delichted with this difcovery, 
the fole proprietor. Andit is fingular, that pele rat 
the Englifh geometricians knew nothing James Bernoulli dered thatthe memory 
of the new calculi, except what they ccl- of aE might be perpetuated by alee 
leéted from the pieces which Leibnitz in- - Pi pao ed gdp bck 
ferted in the Af%a Eruditorum of Leipfic. ring nasi al As B f awa Ge b 
Nor were the germs of the differential and Gs FOre PET is ee 
the integral calculus, there depofted, im- ' ; ie) 
mediately developed, even on the Conti- appointed Profeffor of the Mathematics in the 
nent; and the excellence of the new in- Univerfity of Bafil. He died on the 16th of 
Auguft, 1705. He was flow but fure in his 
advances in the f{ciences; and he gave none 
of his pieces to the public till he had repeat- 
edly revifed and examined them. ; 
* James Bernoulli, who was born at Bafil * John Bernoulli was born at Bafil, in the 
in 1654, wasoriginally intended for purfuits year 1667, and diedin the fame town, im 
very-different from thofe of the mathema» +748. He was fucceflively a Profeffor of the 
tics ; but his inclination@revailed againfthe Mathematics at Groningen and in his native | 
oppofition of his relations, and he was his country. His brother was his preceptor; = 
own preceptor. After having travelled, ne who, withing to prefervé the tone of fuperi- 
seturnedinto wis own country, where he was ority which his greater age, and the sy 
, Q 
vention was not for feveral years under- 
ftood. Fames Bernoulli* was the firft ge- 
