1906年(明治39年)東京帝國大學工科大學(數學2問) - [別館]球面倶楽部零八式markIISR

2019.02.22記

[1]（數學）Geometrically show that $d(pqr)=qrdp+rpdq+pqdr$ .

[2]（數學）By British regulations of the parcel post, a parcel must not exeed 6ft in the sum of length and circumference. Find the length and volume of the most voluminous cylindrical parcel.

[3]（力學）A body slides down a rough inclined plane with an initial velocity of 2 ft per second under the gravity. The plane is inclined at an angle of $30^{\circ}$ to the horizon, the coefficient of friction being $0.1$ . Find the time required and the velocity obtained by the body in moving through 100 ft along the inclined plane.

[4]（力學）Find the rate of work in ft-pounds per minute of a cascade falling through a height of 30 ft and discharging 150 cubic ft per second. Weight of 1 cubic ft of water is equal to 62.4 pounds.

解説:手元にある最古の東大入試問題。

1906年(明治39年)東京帝國大學工科大學-數學[1] - [別館]球面倶楽部零八式markIISR
1906年(明治39年)東京帝國大學工科大學-數學[2] - [別館]球面倶楽部零八式markIISR