 | University of Calcutta - 1912 - 746 pages
...collinear. 2. Define a circle. From your definition obtain the general equation of the circle. A point moves so that the sum of the squares of its distances from the four sides of a square is constant; prove that the locus is a circle. Determine the centre and... | |
 | Arthur Lyon Bowley - Algebra - 1913 - 294 pages
...the help of a figure find the co-ordinates of the inscribed and escribed circles of this triangle. 5. Find the locus of a point which moves so that the sum of its perpendicular distances from three given straight lines is constant. Change of Origin, the Axes... | |
 | Linnaeus Wayland Dowling, Frederick Eugene Turneaure - Geometry, Analytic - 1914 - 294 pages
...from the points (8, 0) and (2, 0) is constantly equal to 2. Find the equation of the locus. 8. A point moves so that the sum of the squares of its distances from (3, 0) and (— 3, 0) is constantly equal to 08. Find the equation of the locus. 9. A circle circumscribes... | |
 | Maxime Bôcher - Geometry, Analytic - 1915 - 260 pages
...same method can be employed in many other cases. We illustrate this by two examples. Example 1. To find the locus of a point which moves so that the sum of the squares of its distances from two fixed points is a constant, which we will call 2 a2. Let us take the line con- „ necting the... | |
 | Maxime Bôcher - Geometry, Analytic - 1915 - 258 pages
...fixed points should be less than twice the square of half the segment connecting them. Example 2. To find the locus of a point which moves so that the sum of its distances from two fixed points is a constant, 2a, greater than the distance between the points.*... | |
 | Henry Bayard Phillips - Geometry, Analytic - 1915 - 218 pages
...locus. 3. In a triangle ABC, A and В are fixed. Find the locus of C, if A - В = i *-. 4. A point moves so that the sum of the squares of its distances from the three sides of an equilateral triangle is equal to the square of one side of the triangle. Find... | |
 | Wallace Alvin Wilson - Geometry, Analytic - 1915 - 232 pages
...2a. ANALYTIC GEOMETRY in connection with Problem 6, page 89, shows that the ellipse may be defined as the locus of a point which moves so that the sum of its distances from two fixed points is a constant. 65. Latus Rectum. — The chord through either focus... | |
| |
Find the locus of a point, the distances of which from two given straight lines have a fixed ratio. 143. Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from... 
