 | Cambridge Philosophical Society - Science - 1883 - 360 pages
...results may be applied to find the equation of any locus generated by linear constructions. For example, the three sides of a triangle pass through fixed points and two of the angles lie on fixed straight lines; to find the locus of the third angle. If x be the point... | |
 | George Salmon - Conic sections - 1852 - 338 pages
...will be a multiple point only of the order n(m — 1) ; the degree of the locus will then be 2mn-n, as in the last Example. Q will be a multiple point...is no difficulty in tracing the effect of supposing tAvo or more of these simplifications of the general problem to take place at once. Ex. 4. The three... | |
 | Charles Smith - Conic sections - 1883 - 452 pages
...position of AQ, there is one, and only one, position of BQ. Hence, from Ex. 1, the locus of Q is a conic. Ex. 4. The three sides of a triangle pass through fixed points, and the extremities of its base lie on two fixed straight lines ; them that its vertex describes a conic.... | |
 | Cambridge Philosophical Society - Philosophy - 1883 - 332 pages
...results may be applied to find the equation of any locus generated by linear constructions. For example, the three sides of a triangle pass through fixed points and two of the angles lie on fixed straight lines ; to find the locus of the third angle. If x be the point... | |
 | Charles Smith - Conic sections - 1916 - 466 pages
...position of AQ, there is one, and only one, position of BQ. Hence, from Ex. 1, the locus of Q is a conic. Ex. 4. The three sides of a triangle pass through fixed points, and the extremities of its base lie on two fixed straight lines ; shew that its vertex describes a conic.... | |
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Ex. 4. The three sides of a triangle pass through fixed points, and two... 