78 PHILOSOPHICAL TRANSACTIONS. [aNNO 1770. 



directly obtained by the help of my new method of comparing curvilineal areas, ' 

 inserted in the Phil. Trans, for the year 1768. 



! It is obvious, that, by means of the above theorems, we may very readily 

 compute the whole areas, when finite, of the curves, whose ordinates are 



P + yx"+r^"+x'° ' ^""^ p + qx" + rx- + sx^' + X-" ^^- "^^'"^ ^^ese expressions may 

 be easily transformed into others similar to those already considered. 



XXXFII. Transit of Venus observed in India. By Capt. Alexander Rose, of 

 the bid Regiment. Communicated by Dr. Murdoch, F.R.S. p. 444. 



Having procured a telescope and stop-watch, Capt. R. made observations on 

 the transit of Venus, which happened on the 4th of June 1769. 



Phesabad, lat. 23° 30' north. 

 Observed the planet a good way advanced on the 



sun's body at , j ... ... 5^ 35"" 57' (apparent time) 



First contact at the egress . .^ ... ..... .j,.,..j{<5„„ ,6 52 25 



Last contact ,> . »^^ .«;.i.,i.^,:, 7 10 47 



* Time between the first and last contacts . . . . O 18 22 



XXXVIII. Of a Periodical Fever, followed by a Separation of the Cuticle. By 

 '.'" Mr. John Latham, Surgeon at Dartford, Kent. p. 451. 



Mr. A. B., about 55 years of age, was a healthy man till about 20 years since, 

 when he was first seized with a fever ; at which time he followed the trade of a 

 miller, and maker of French barley. This last business, he says, is attended 

 with very great heat to the operator, and exposes him to a continual cloud of 

 dust. As soon as he began to work, his breath became oppressed with a sensa- 

 tion of his body being puffed up all over; from which symptoms he was relieved 

 by occasionally leaving off his business. On the first cold caught after his enter • 

 ing on this kind of employment, a fever attacked him; which has generally re- 

 turned sometimes once, and sometimes twice in a year, chiefly in autumn ; but 

 sometimes in spring likewise: though he once missed being ill for 2 years to 



• Whence the planet's centre was on the sun's limb at 7* l" 36'; and this compared with an ob- 

 servation of the central egress or ingress, made at a distant place, will give the sun's parallax; the 

 other necessary elements of the calculus being well established In the mean time we see, from the 

 Connoisance des Tems for 1769. that Phesabad in Bengal, where Captain Rose observed, is 81° 45' 

 east of Paris. 



The watch had been regulated the preceding day, by equal altitudes of the sun ; the sun's alti- 

 tudes, at the two contacts, are likewise marked in the captain's letter; but this part of the work 

 he had probably entrusted to a less skilful observer, while his own attention was engrossed by the 

 telescope and the watch; as I find the difference of the times correspondent, to those altitudes, doe« 

 not agree with the interval of the contacts; for which reason they are here omitted.— -P. Murdoch. 

 -—Orig. 



