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" From a point in the circumference of a circular field a projectile is thrown at random with a given velocity which is such that the diameter of the field is equal to the greatest range of the projectile : find the chance of its falling within the field. "
The American Mathematical Monthly: Devoted to the Interests of Collegiate ... - Side 237
redigert av - 1894
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A treatise on the integral calculus and its applications

Isaac Todhunter - 1857 - 304 sider
...shew that the chance of its reaching 1 '/IN more than — th of its greatest range is»/(l -- J. 3. From a point in the circumference of a circular field...projectile is thrown at random with a given velocity, wh1ch is such that the diameter of the field is equal to the greatest range of the projectile ; find...
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A treatise on the integral calculus and its applications

Isaac Todhunter - 1862 - 410 sider
...horizon; shew that the chance of its reaching more than — th of its greatest range is . / f 1 -- J . 3. From a point in the circumference of a circular field...field is equal to the greatest range of the projectile ; find the chance of its falling within the field. Result. i——(V2—l). 4. On a table a series...
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A Treatise on the Integral Calculus and Its Applications with Numerous Examples

Isaac Todhunter - 1862 - 366 sider
...horizon ; shew that the chance of its reaching more than — th of its greatest range is »/il -- ). 3. From a point in the circumference of a circular field...field is equal to the greatest range of the projectile ; find the chance of its falling within the field. 4. On a table a series of straight lines at equal...
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Mathematical Questions and Solutions, from the "Educational Times ..., Volum 7

W. J. C. Miller - 1867 - 120 sider
...years ago, the following question was proposed in the examination for the Mathematical Tripos: — "From a point in the circumference of a circular field...field is equal to the greatest range of the projectile ; find the chance of its falling within the field." The question received two kinds of solution. Some...
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Mathematical Questions and Solutions, from the "Educational Times.", Volum 7

1867 - 120 sider
...years ago, the following question was proposed in the examination for the Mathematical Tripos: — "From a point in the circumference of a circular field...field is equal to the greatest range of the projectile ; find the chance of its falling within the field." The question received two kinds of solution. Some...
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The Analyst, Volumer 1-2

1874 - 490 sider
...which I have given. SOLUTION OF A PROBLEM. BY PEOF. O ROOT, HAMILTON COLLEGE, CLINTON, NT Problem. — "From a point in the circumference of a circular field...is equal to the greatest range of the projectile; find the chance of its falling within the field." Solution. — Take the given point as the origin,...
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The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumer 1-2

1874 - 430 sider
...which I have given. SOLUTION OF A PROBLEM. BY PROF. 0 BOOT, HAMILTON COLLEGE, CLINTON, NT Problem. — "From a point in the circumference of a circular field...is equal to the greatest range of the projectile; find the chance of. its falling within the field." Solution. — Take the given point as the origin,...
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Elements of the Integral Calculus: With a Key to the Solution of ...

William Elwood Byerly - 1881 - 220 sider
...target; find the chance that their distance apart is greater than the radius. , 3V3 Ans. 4тr (20) From a point in the circumference of a circular field...field is equal to the greatest range of the projectile ; find the chance of its falling within the field. Ans. ¿_-(V2-1). 7Г (21) On a table a series of...
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Elements of the Integral Calculus: With a Key to the Solution of ...

William Elwood Byerly - 1882 - 218 sider
...find the chance that their distance apart is greater than the radius. , 3\/3 Ans. — - — 47T (20) From a point in the circumference of a circular field...field is equal to the greatest range of the projectile ; find the chance of its falling within the field. Ans. £_-(V2-1). TT (21) On a table a series of...
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The Analyst, Volumer 1-4

1874 - 834 sider
...which I have given. SOLUTION OF A PROBLEM. BY PEOF. O ROOT, HAMILTON COLLEGE, CLINTON, KT Problem. — "From a point in the circumference of a circular field...field is equal to the greatest range of the projectile ; find the chance of its falling within the field." Solution. — Take the given point as the origin,...
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