 | 1911 - 946 páginas
...circle. 5. Find the locus of all points from whicb a given line-segment subtends a given angle. 6. Find the locus of a point the sum of the squares of whose distances from two given points is constant. 7. Find the locus of a point the difference of the squares of whose distances... | |
 | George Abbott Osborne - 1907 - 418 páginas
...least material in construction ? Ans. Length and width, 6 in. ; height, 3 in. 15. Find the coordinates of a point, the sum of the squares of whose distances from three given points, is a minimum. , 1 , , 1 , Ans. г(х1 + х2 + Хз), г (У! Н о 3 the centre... | |
 | Henry Burchard Fine, Henry Dallas Thompson - 1909 - 336 páginas
...point P from two given intersecting lines is constant ; prove that its locus is an ellipse. 13. Find the locus of a point the sum of the squares of whose distances from the angular points of a given square is constant. 14. The sum of the distances of the point P from... | |
 | Henry Burchard Fine, Henry Dallas Thompson - 1909 - 344 páginas
...square of whose distance from the origin is equal to the sum of its distances from the axes. 8. Find the locus of a point the sum of the squares of whose distances from the sides of a given square is constant. 4. In the rectangle AMP2T, the perimeter, the position of... | |
 | Percey Franklyn Smith, William Anthony Granville - 1910 - 248 páginas
...and plot. Ans. The perpendicular straight lines ж— у— 9=0,ж+?/+1=0. 6. Find the equation of the locus of a point the sum of the squares of whose distances from (3, 0) and (—3, 0) always equals 68. Plot the locus. Ans. The circle ж2 + у2 = 25. 7. Find the... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - 1912 - 364 páginas
...lemniscate (Ex. 2, p. 122). (h) the median to one of the other sides is constant. Ans. A circle. 2. Find the locus of a point the sum of the squares of whose distances from (a) the sides of a square, (b) the vertices of a square, is constant. Ana. A circle in each case. 3.... | |
 | Virgil Snyder, Charles Herschel Sisam - 1914 - 316 páginas
...distance from the 2. Discuss the locus defined by the equation y? + x2 = y2. 3. Find the equation of the locus of a point the sum of the squares of whose distances from the points (1, 3, — 2), (6, — 4, 2) is 10. 4. Find the equation of the locus of a point which is... | |
 | Maxime Bôcher - 1915 - 258 páginas
...merely giving the equation of the locus is not sufficient; this equation must be interpreted. 1. Find the locus of a point the sum of the squares of whose distances from the sides, or sides preduced, of an equilateral triangle is equal to the square of the altitude of... | |
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Find the locus of a point the sum of the squares of whose distances from two given points is constant. 
