 | Isaac Todhunter - 1857 - 304 pages
...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... | |
 | Isaac Todhunter - 1862 - 410 pages
...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...; find the chance of its falling within the field. Result. i——(V2—l). 4. On a table a series of straight lines at equal distances from one another... | |
 | Isaac Todhunter - Calculus of variations - 1862 - 366 pages
...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...; find the chance of its falling within the field. 4. On a table a series of straight lines at equal distances from one another is drawn, and a cube is... | |
 | Electronic journals - 1874 - 490 pages
...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...find the chance of its falling within the field." Solution. — Take the given point as the origin, let the diameter of the circular field he represented... | |
 | Mathematics - 1874 - 430 pages
...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...find the chance of. its falling within the field." Solution. — Take the given point as the origin, let the diameter of the circular field he represented... | |
 | William Elwood Byerly - Calculus, Integral - 1881 - 220 pages
...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...; find the chance of its falling within the field. Ans. ¿_-(V2-1). 7Г (21) On a table a series of equidistant parallel lines is drawn, and a cube is... | |
 | William Elwood Byerly - Calculus, Integral - 1882 - 218 pages
...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...; find the chance of its falling within the field. Ans. £_-(V2-1). TT (21) On a table a series of equidistant parallel lines is drawn, and a cube is... | |
 | Mathematics - 1874 - 834 pages
...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...find the chance of its falling within the field." Solution. — Take the given point as the origin, let the diameter of the circular field he represented... | |
 | 1891 - 208 pages
...surface of a given triangle. ... 170 11149. (Professor Zerr.) — From the cusp of a given cardioid a projectile is thrown at random with a given velocity, which is such that the greatest range of the projectile is equal to 2a, where r = a (1 + cos 8) ie the equation to the cardioid... | |
 | Mathematics - 1891 - 208 pages
...surface of a given triangle. ... 170 11149. (Professor Zerr.) — From the cusp of a given cardioid a projectile is thrown at random with a given velocity, which is such that the greatest range of the projectile is equal to 2«, where r = a (1 + cos 9) is the equation to the cardioid... | |
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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. 
