Now 25: 21∷ _c_: 21 ⁄ 25 _c_ the water-way contracted. _Principle III._

And 21 ⁄ 25 _c_: _b_∷ _v_: 25_b_ ⁄ 21_c_ _v_ the veloc. _per_ sec. in

the water-way between the obstacles. _Princip. V._

Also (2_a_)²: _vv_∷ _a_: _vv_ ⁄ 4_a_ the height fallen to acquire the

vel. v. I. & II.

And (2_a_)²: (25_b_ ⁄ 21_c_)² × _vv_∷ _a_: (25_b_ ⁄ 21_c_)² × _vv_ ⁄

4_a_ the height fallen to acquire the vel. 25_b_ ⁄ 21_c_ _v_. I. & II.

Then (25_b_ ⁄ 21_c_)² x (_vv_ ⁄ 4_a_) - (_vv_ ⁄ 4_a_) is the measure of

the fall required. VII.

Or ((25_b_ ⁄ 21_c_)² - 1) × _vv_ ⁄ 4_a_ is a rule, by which the fall

may be readily computed.

Here _a_ = 16,0899 feet and 4_a_ = 64,3596.

Philosophical transactions, Vol. L. Part II. For the year 1758. Giving some account of the present undertakings, studies, and labours, of the ingenious, in many considerable parts of the world. · 第 10 / 119 题