 | Euclides - 1846 - 292 pages
...square of the greater part will be equal to twice the rectangle of the whole and the lesser part. 17. Divide a straight line into two parts so that the sum of their squares may be the least possible. 18. Shew that the sum of the squares upon two lines is never... | |
 | Francis Cuthbertson - 1874 - 400 pages
...perpendiculars let fall on the sides of an equilateral figure from any point within it is constant. 2. Divide a straight line into two parts, so that the sum of their squares may be the least possible. 3. If a straight line be drawn from the vertex of an isosceles... | |
 | Henry Major - 1876 - 784 pages
...double of the square on half the line, and of the square on the lino between the points of sections. Divide a straight line into two parts, so that the sum of their squares may bo the least possible. 1. How many minutes is it to four o'clock, if three quarters... | |
 | George Albert Wentworth - 1879 - 196 pages
...corresponding chord of the lesser circle. A OB the common diameter ; from C in OA draw CDE Ex. 24. Divide a straight line into two parts so that the sum of their squares may be the least possible. Bisect AB at C ; then if D be another point in AB, AD* + DB*... | |
 | W J. Dickinson - 1879 - 44 pages
...square on half the line, and of the square on the line between the points of section. Same proposition. Divide a straight line into two parts so that the sum of their squares may be the least possible. 10. If a straight line be bisected and produced to any point,... | |
 | 1880 - 594 pages
...on "The British Empire is one on which the sun never sets." Euclid.— i. Euc. I. 48. 2. Euc. II. 9. Divide a straight line into two parts, so that the sum of their squares may be the least possible. Algebra. — i. How many minutes is it to four o'clock, if... | |
 | Samuel Constable - 1882 - 222 pages
...is that which is the greatest, the minimum is that which is the least. PROP. 68. To divide a given straight line into two parts, so that the sum of the squares of the segments (1) shall be given: (2) shall be a minimum. * Though the above definition may suit as... | |
 | 1882 - 676 pages
...double of the square on half the line, and of the square on the line between the points of section. Divide a straight line into two parts, so that the sum of their squares may be the least possible. Algebra. 1. How many minutes is it to four o'clock, if three-quarters... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...is equal to the squares on the two parts together with twice the rectangle contained by the parts. Divide a straight line into two parts so that the sum of their squares may be the least possible. 2. In every triangle, the square on the side subtending any... | |
 | Richard Anthony Proctor - 1887 - 202 pages
...square of the greater part will be equal to twice the rectangle of the whole and the lesser part. 227. Divide a straight line into two parts so that the sum of their squares may be the least possible. 228. Show that the sum of the squares upon two lines is never... | |
| |
Show how to divide a straight line into two parts so that the sum of the squares on the parts shall be equal to the square on a given line. 
