A letter to Dr. Cheyne : containing an account of the motion of water through orifices and pipes; and an answer to Dr. Morgan's remarks on Dr. Robinson's Treatise of the animal oeconomy.

Bryan Robinson

Date:: 1735

Credit: A letter to Dr. Cheyne : containing an account of the motion of water through orifices and pipes; and an answer to Dr. Morgan's remarks on Dr. Robinson's Treatise of the animal oeconomy. Source: Wellcome Collection.

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$[ :fi ] the Water flows through the Hole, will, without any fen Able Error, be equal to the Velocity which a hea¬ vy Body will acquire in falling in vacuo through a Space equal to the perpendicular Height of the Water in theVeffel, that is, V will, without any fenfible Error, be equal to the Velocity acquired in falling in vacua through a Space equal to H. For when a is exceeding fmall in com- parifon of A, A1—a will be very nearly equal to Ag and will be very nearly equal to H : But, by this Proportion, V is equal to the Ve¬ locity acquired in falling in vacuo c A3H through a Space equal to^2— And therefore V will be very nearly equal to the Velocity acquired in failing in vacuo through a Soace \ n ■ ^ < JT- equal to EL$