 | Charles Smith - 1883 - 452 páginas
...Wolstenholme's Problems. 236. We shall conclude this Chapter by the solution of some Examples. Ex. 1. If two conies have each double contact with a third, their chords of contact with that conic, and two of the lines through their common points, will meet in a point and form a harmonic... | |
 | Charles Smith - 1883 - 388 páginas
...applications of invariants in Salmon's Conic Sections and Wolstenholme's Problems. Ex. 1. If two conics have each double contact with a third, their chords of contact with that conic, and two of the lines through their common points, will meet in a point and form a harmonic... | |
 | John Casey - 1885 - 360 páginas
...represent two circles, prove that ,51 ± S'l - k = o has double contact with each. 18. If two conics have each double contact with a third, their chords...pair of their chords of intersection with each other form a harmonic pencil. 19. Ti<e diagonals of a quadrilateral inscribed in a conic, and the diagonals... | |
 | Charles Smith - 1916 - 466 páginas
...point B and the three points the circles of curvature at which pass through 8 are on a circle. Ex. 1. If two conies have each double contact with a third, their chords of contact with that conic, and two of the lines through their common points, will meet in a point and form a harmonic... | |
 | George Alexander Gibson, Peter Pinkerton - 1919 - 510 páginas
...in a constant ratio to the rectangle under the segments of that perpendicular made by the other. 45. If two conies have each double contact with a third,...each other, will all pass through the same point and form a harmonic pencil. 46. The chords of contact of two conies with their common tangents pass through... | |
 | E. A.. Maxwell - 258 páginas
...xy = 0, x + y + z = 0. [CS] 7. If two conies have each double contact with a third conic, prove that their chords of contact with the third conic, and...their chords of intersection with each other, will all meet in a point and form a harmonic pencil. Prove also that if any three conies are drawn passing through... | |
 | 1904 - 580 páginas
...perpendicnlar=450, r=144, JR=289. Also solved by GBH Zerr, J. Soheffer, LE Newcomb. Ml. Proposed by Editor EPSTEEN. If two conies have each double contact with a third, their chords of contact with that conic, and two of the lines through their common points, will meet in a point and form a harmonic... | |
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If two conies have each double contact with a third, their chords of contact with that conic, and two of the lines through their common points, will meet in a point and form a harmonic pencil. Let... 