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

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4. How many times can 2-372 feet be subtracted from 42-8731'
yards, and what is the length of the remainder?
5. If in a yard measure there was an error of one-tenth of an
inch, what would be whole error in measuring 5 miles and 345 yards?
What is the difference when the error is in excess or defect?
XXIV.
1. What is the difference of the Roman and the English mile,.
the former of which consisted of 5,000 Roman feet, and each foot
~9708 of an English foot?
2. If 24 Roman feet are equal to 25 Greek feet, find the length of
the Roman foot, if the length of the Greek foot be 12-137 English
inches.
3. Pliny (Lib. ii. 21, &c.) states the stadium to be equal to 625
Roman feet, and 8 stadia of 600 Greek feet are equal to a mile of
5,000 Roman feet. If the Roman foot was 11-6496 English inches,
what was the length of the Greek foot?
4. The length and breadth of the upper step of the basement of
the Parthenon at Athens, by admeasurement, was found to be in
English measure 227 ft. 7-05 inches, and 101 ft. 1-7 inches respectively;
and admitting the term hecatompedon was applied to it on account of
its dimensions, show that the value of the Greek foot as determined
from the length and from the breadth was 12-138 and 12-137 inches.
respectively.
XXV.
1. If the French metre be 39-3708 inches, what fraction of a
metre is a yard?
2. Express a degree, sixty-nine miles and a half, in French metres,
32 metres being equal to 34-99625 yards.
3. Find the value of the metre of France in terms of the foot of
Cremona, if 48 Cremonese feet be equal to 56 English feet, and if the
metre be equal to 39-371 English inches.
4. The length of a seconds pendulum is 39-1393 inches; what is,
that in yards, feet, inches, and fractions of an inch?
5. How many crowns and how many half-crowns, whose diameters
are respectively -81 and -666 of an inch, may be placed in two rows
close together so that each row may make a yard in length?
XXVI.
1. The Mont Cenis Tunnel is 12,224 metres long; express its
length in miles and yards, one metre being 39-37079 inches.
2. Ten yards make 9-14382 French metres, and a metre is the tenmillionth part of the earth's quadrant; find the circumference of the,
earth in miles and furlongs.
3. The mean distance of the earth from the sun is 15,287,813,