Elementary arithmetic, with brief notices of its history... by Robert Potts.

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XXIV.
1. Reduce 12 weeks, 6 days, 5 hours, 10 min., 12 sec., to seconds,
and reverse the operation.
2. How many days, hours, &c., are in a million seconds?
3. Find the number of seconds from 5 o'clock on Monday after'noon to 7 on Wednesday morning.
4. In one tropical year there are 365 days 5 hours 48min. 51secs.;
how many seconds are there in 16 years 122 days?
5. How many hours have elapsed since the birth of Christ to the
year 1849, supposing each year to consist of 365 days 6 hours?
6. In a Julian year seven of the months have thirty-one days each,
-four have thirty each, and one has twenty-eight or twenty-nine. How
many minutes are in an ordinary year and in a leap-year?
7. How many seconds are contained in the lunar month of 29 days
12 hours 44 minutes 3 seconds?
XXV.
1. Multiply 2 years, 9 months, 6 days, by 31, and reverse the
process.
2. A sidereal day is less than a solar day by 3 minutes, 56 seconds;
in how many days will the difference amount to 24 hours?
3. Find the average of the following times, reckoned from noon:
2hrs. 12min. 28sec. p.m.; I Ohr. 31min. 14sec. a.m.; 3hrs. 15min. 44sec.
p.m.; lhr. 36min. 35sec. p.m.; llhrs. 40min. 39sec. a.m.; 4hrs. p.m.;
and Ihr. 23min. 15sec. p.m.
4. It was high-water at London Bridge on seven successive days at
9h. 17m. a.m., lOh. 33m. a.m., llh. 37m. a.m., noon, Oh. 52m. p.m.,
lh. 38m. p.m., 2h. 24m. p.m.; what was the average time during the
week?
XXVI.
1. In reckoning years from the epoch of the Christian era, state a
rule for finding what years of this era are leap-years in different
centuries. Are the years 1784 and 1874 leap-years?
2. How is it known when ordinary years begin and end with the
same day of the week? What is the difference in leap-years?
3. Shew from the fifth and seventh chapters of the Book of Genesis
that the Deluge happened in the 1656th year from the creation of the
world, according to the Hebrew account.
4. How long did the Roman empire endure from its foundation till
the year A.D. 800, when Charlemagne was crowned Emperor of the
West by Pope Leo III, if we admit that Rome was a regal state,
governed by 7 kings during 244 years; a republic under consuls until
tihe time of Augustus, a period of 446 years; an empire under 57.emperors, during 519 years, from the time of Augustus to Augustulus,
who was deposed by Odoacer, King of the Heruli; under this last and