see. : Clock. is the same, in a manner, as in the last example: and will show the hour; or it may be done by the minute- Clock, consequently thus : as 12 : 170 :: 10000 : 1416€6, wheel. Clodia. which fourth number is the beats in one turn of the It is requisite for those who make nice astronomical fusee; its half, 70833, being divided by 17, gives observations, to have watches that make some exact 4167 for the quotient; and because this number is too number of beats per second, without any fraction ; but big for three quotients, therefore choose four, as 10, we seldom find a watch that does. As four beats per 8, 8, 6 }; whose product into 17 makes 71808, near- second would be a very convenient number, we shall ly equal to half the true beats in one turn of the fu- bere give the train for such a watch, which would (like Then say, as 170 : 12 :: 71808: 5069, which is most others) go 30 hours, but is to be wound up once half the true train of your watch. And again, 170: in 24 bours. .12 :: 1274*, the denominator of which expresses the The fusee and first wheel to go round in four bours. pinion of report, and the numerator is the number of This wheel has 48 teeth, and it turns a pinion of 12 the dial-wheel. But these numbers being too big to be leaves, on whose axis is the second wheel, which goes cut in small wheels, they must be varied by the fourth round in one hour, and carries the minute-band. This rule above. Thus : wheel has 60 teeth, and turns a pinion of 10 leaves ; As 144 : 170 :: 360 : 425 ; on whose axis is the third wheel of 60 teeth, turning Or 170 : 144 :: 360 : 305. a pinion of 6 leaves ; on whose axis is the fourth (or 24) 20 (i Then dividing 360, and either of these contrate) wheel, turning round in a minute, and car. two fourth proportionals (as directed by rying the small hand that shows the seconds, on a 6) 60 (10 the rule), suppose by 15, you will have small circle on the dial-plate, divided into 60 parts : 6) 48 ( 8 it or ji; then the numbers of the whole this contrate wheel has 48 teeth, and turns a pinion 5) 40 ( 8 movements will stand as in the margin. of 6 leaves ; on whose axis is the crown or balance5) 33 ( 65 Such is the calculation of ordinary wheel of 15 teeth, which makes 30 beats in each revo watches, to show the hour of the day: lution. 17 in such as show minutes, and seconds, the The crown-wbeel goes 480 times round in an hour, and 30 times 480 make 14400, the number of beats so is 7. turns to 30 hours, the time the watch would after it is wound up. inches, which vibrates 142 strokes in a minute, and See further the articles MOVEMENT, Turn, &c. 8520 in an hour. Half these sums are 71, and And for the history and particular construction of 4260. Now, the first work is to break this 71 into Watches, properly so called, see the article WATCH. a good proportion, which will fall into one quotient, CLODIA LEX, de Cypro, was enacted by the triand the crown-wheel. Let the crown-wheel lave 15 bune Clodius, in the year of Rome 607, to reduce Cynotches; then 71, divided by 15, gives nearly 5; so prus into a Roman province, and expose Ptolemy a crown.wheel of 15, and a wheel and pinion whose king of Egypt to sale in his regal ornaments. It emquotient is 5, will go round in a minute to carry a powered Cato to go with the prætorian power and hand to show seconds. For a band to go see the auction of the king's goods, and commission8) 40 ( 5 round in an hour to show minutes, because ed him to return the money to Rome. Another, de there are 60 minutes in an hour, it is but Magistratibus, 695, by Clodius the tribune. It for15 breaking 60 into good quotients (suppose bade the censors to put a stigma or mark of infamy 10 and 6, or 8 and 75, &c.; and it is upon any person who had not been actually accused 8) 64 ( 8 done. Thus, 4260 is broken as near as and condemned by both the censors. Another, de Re. 8) 60 ( 76 can be into proper numbers. But since ligione, by the same, 696, to deprive the priest of Cy8) 40 ( § it does not fall out exactly into the above bele, a native of Pessinuns, of his office, and confer the mentioned numbers, you must correct (as priesthood upon Brotigonus, a Gallogrecian. 15 before directed), and find the true number iher, de Provinciis, 695, which nominated the pro of beats in an hour, by multiplying 15 by vinces of Syria, Babylon, and Persia, to the consul 5, which makes 75; and 75 by 6o makes 4500, which Gabinius, and Achaia, Thessaly, Macedon, and Greece, is half the true train. Then find the beats in one turn to his colleague Piso, with proconsular power. It of the fusee; thus, 16: 192 :: 4500 : 54000 ; which empowered them to defray the expences of their last is half the beats in one turn of the fusee. This march from the public treasury. Another, 695, which 54000 being divided by 4500 (the true required the same distribution of corn among the 9) 158 (12 numbers already pitched on), the quo people gratis, as had been given them before at six 8) 64 ( 8 tient will be 10 ; which, not being too big ases and a triens the bushel. Another, 695, by the 8) 60 ( 7 for a single quotiens, needs not be divided same, de Judiciis. It called to an account such as 8) 40 ( 5 into more: and the work will stand as had executed a Roman citizen without a judge in the margin. As to the hour-hand, the ment of the people and all the formalities of a trial. 15 great wheel, which performs only one re- Another, by the same, to pay no attention to the volution in 12 turns of the minute-wheel, appearances of the heavens while aliy allair was be fore a |