| Neil Arnott - 1827 - 532 Seiten
...with a certain velocity ; — if it move twice as fast, it of course displaces twice as much water, **and requires to be moved by twice the force on that...particle with three times the velocity ; therefore** a force of nine is wanted to produce it: and so for a speed of four, a power of sixteen is wanted ;... | |
| Neil Arnott - 1829 - 532 Seiten
...with a double velocity, and requires another doubling of the power on this account: the power than **being doubled on two accounts, becomes a power of...particle with three times the velocity; therefore** a force of nine is wanted to overcome the resistance; for a speed of four, a power of sixteen is wanted;... | |
| Samuel Griswold Goodrich - 1844 - 352 Seiten
...double velocity, and requires another doubling of the power on this account ; the power therefore, **being doubled on two accounts, becomes a power of four. In the same manner, with a** triple speed, three times as many particles are moved, and each particle with a triple velocity ; therefore,... | |
| Samuel Griswold Goodrich - 1844 - 320 Seiten
...a double velocity, and requires another doubling of the power on this account; the power therefore, **being doubled on two accounts, becomes a power of four. In the same manner, with a** triple speed, three times as many particles are moved, and each particle with a triple velocity; therefore,... | |
| Neil Arnott - 1845 - 486 Seiten
...concerned. This estimate supposes that the pressure of or upon the surface is direct; if it be oblique, **there is a diminution according to the rule given...of five, a power of twenty-five, and so forth: the** relations being that •which mathematicians indicate by saying that the resistance increases as the... | |
| Samuel Griswold Goodrich - 1852 - 352 Seiten
...a double velocity, and requires another doubling of the power on this account; the power therefore, **being doubled on two accounts, becomes a power of four. In the same manner, with a** triple speed, three times as many particles are moved, and each particle with a triple velocity; therefore,... | |
| Neil Arnott - 1853
...a certain velocity; — if it move twice as fast, it of course displaces twice as many particles at **the same time, and requires to be moved by twice the...of five, a power of twenty-five, and so forth : the** relations being that which mathematicians indicate by saying that the resistance increases as the square... | |
| Neil Arnott, Isaac Hays - 1853 - 486 Seiten
...a certain velocity; — if it move twice as fast, it of course displaces twice as many particles at **the same time, and requires to be moved by twice the...of five, a power of twenty-five, and so forth : the** relations being that which mathematicians indicate by saying that the resistance increases as the square... | |
| Neil Arnott - 1856 - 486 Seiten
...certain velocity ; — if it move twice as fast, it of course displaces twice as many particles at **the same time, and requires to be moved by twice the...of five, a power of twenty-five, and so forth : the** relations being that which mathematicians indicate by saying that the resistance increases as the square... | |
| John McNeill Boyd - 1857 - 471 Seiten
...and with a certain velocity ; if it move twice as fast, it of course displaces twice as much water, **and requires to be moved by twice the force on that...particle with three times the velocity ; therefore,** a force of nine is wanted to produce it ; and so for a speed of four, a power of sixteen is wanted... | |
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