 A pack of cards is laid on a table ; each projects in the direction of the length of the pack beyond the one below it; if each projects as far as possible, prove that the distances between the extremities of the successive cards will form an harmonic...  Treatise on Analytical Statics ... - Page 362by Isaac Todhunter - 1866 - 364 pagesFull view - About this book
 | Sir John Budd Phear - Mechanics - 1850 - 304 pages
...\OL-.\OL; therefore OG : HO : : KL : \ OL, \OL : OL - \KL :: KL : \OL, which gives the value of OL. (4) A pack of cards is laid on a table; each projects...successive cards will form an harmonic progression. Let a1bl be the farthest card, aj>2 its next lower neighbour, a3bs its next, and so on ; OtO2... the... | |
 | Harvey Goodwin (Bishop of Carlisle.) - 1851 - 414 pages
...joining the props makes with the horizon, 6 that which one side of the square makes with the same. LXXV. A pack of cards is laid on a table ; each projects...length of the pack beyond the one below it ; if each project as far as possible, prove that the distances between the extremities of the successive cards... | |
 | Isaac Todhunter - Statics - 1853 - 362 pages
...the planes is greater than tan" 1 rj (2) when the inclination of both planes is less than tan" 1 j-. if each projects as far as possible, prove that the...successive cards will form an harmonic progression. 10. A hemisphere just rests upon a rough sphere ; shew 3 that the coefficient of friction is not >... | |
 | William Walton - Fluid mechanics - 1855 - 658 pages
...that their weights are inversely as the distances of their centres from the point of suspension. (27) A pack of cards is laid on a table ; each projects...successive cards will form an harmonic progression. (28) A rectangular column is formed by placing a number of smooth cubical blocks one above another,... | |
 | Stephen Parkinson - Mechanics - 1863 - 408 pages
...centre of gravity of the figure, shew that 36. A pack of cards is laid on a table, and each projects in direction of the length of the pack beyond the one...prove that the distances between the extremities of successive cards will form a harmonic progression. 37. Prove the following geometrical construction... | |
 | Harvey Goodwin - Statics - 1865 - 196 pages
...joining the props makes with the horizon, 8 that which one side of the square makes with the same. LXXXI. A pack of cards is laid on a table ; each projects...length of the pack beyond the one below it ; if each project as far as possible, prove that the distances between the extremities of the successive cards... | |
 | John Kerr - Mechanics - 1866 - 358 pages
...weights are in the ratio of sin (a + /?) to sin (a — /?). 50. A pack of cards is laid on a table, and each projects in the direction of the length of the...prove that the distances between the extremities of successive cards will form a harmonic progression. 51. A regular hexagon composed of six uniform and... | |
 | Charles Astor Bristed - 1873 - 582 pages
...that and fhat a circle described through these points passes through the vertex of the parabola. 7. A pack of cards is laid on a table ; each projects...pack beyond the one below it; if each projects as tar as possible, prove that the distances between the extremities of the successive cards will form... | |
 | Charles Astor Bristed - 1874 - 632 pages
...yi+y2+y3=0, and that a circle described through these points passes through the vertex of the parabola. 7. A pack of cards is laid on a table; each projects...successive cards will form an harmonic progression. 8. A very small bar of matter is movable about one extremity which is fixed half way between two centres... | |
 | George Minchin Minchin - 1877 - 470 pages
...side of which is perpendicular to the two parallel sides). 4. A pack of cards is laid on a tahle ; each projects in the direction of the length of the...between the extremities of the successive cards will f orm a harmonic progression. (Walton, p. 183.) 5. A rectangular column is formed by placing a number... | |
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