 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...(Qu. VIII.) EXERCISES. 1. A straight line and two points without it being given, to find a point in it such that the sum of the lines drawn from it to the two given points, shall be a minimum, that is, that they shall be less than the sum of any two lines... | |
 | Thomas Tate (mathematical master.) - 1849 - 274 pages
...show that BD=BQ when the area of the triangle DBQ is a minimum. 8. To find a point in a semicircle, such that the sum of the lines drawn from it to the extremities of the diameter shall be a maximum. Ans. The point will bisect the arc. 9. Of all the cones... | |
 | Euclides - 1860 - 288 pages
...VIII.). EXERCISES. 1. A straight line and two points without it being given, to find a point in it such, that the sum of the lines drawn from it to the two given points shall be a minimum ; that is, that they shall be less than the sum of any two lines... | |
 | George Chrystal - Algebra - 1889 - 620 pages
...(2\/a)2 ! the corresponding values of x, y, z are \/aS\/a, \JVZ\Ja., *\/c2\/a respectively. Example 2. To find a point within a triangle such that the sum of the with powers of its distances from the sides shall be a minimum (m> 1). Let a, b, c be the sides, x,... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...projections on the sides of a given triangle, it must be the symmedian point of the triangle. Ex. 559.— Find a point within a triangle such that the sum of the squares of its distances from the sides is a minimum. The point must be the centroid of its projections... | |
 | Joseph Edwards - Mathematics - 1892 - 550 pages
...squares of its perpendicular distances from the sides is least is the centre of the Cosine-Circle. 17. Find a point within a triangle such that the sum of the squares on its distances from the three angles is a minimum. 18. Find a point within a triangle such... | |
 | John Graham - Calculus - 1896 - 314 pages
...have a maximum capacity, ihere being no lid. An». Length = breadth = 9-79 feet. Depth = 4-89 feet. 2. Find a point within a triangle, such that the sum of the squares of its distances from the three angles is the least possible. An». The cg of the triangle.... | |
 | Shanti Narayan - Mathematics - 2005 - 724 pages
...= 12, from the origin is given by Hence find a point on the plane that is nearest to the origin. 9. Find a point within a triangle such that the sum of the distances from the angular points may be maximum. 10. Find the maximum and minimum ordinales of the... | |
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Find a point within a triangle such that the sum of the square of its distances from the three angular points is a minimum. 